light metal systems. part 1: selected systems from ag-al-cu to al-cu-er
TRANSCRIPT
Landolt-BörnsteinNumerical Data and Functional Relationships in Science and TechnologyNew Series / Editor in Chief: W. Martienssen
Group IV: Physical ChemistryVolume 11
Ternary Alloy SystemsPhase Diagrams, Crystallographic and Thermodynamic Data
critically evaluated by MSIT®
Subvolume ALight Metal Systems
Part 1Selected Systems from Ag-Al-Cu to Al-Cu-Er
EditorsG. Effenberg and S. Ilyenko
AuthorsMaterials Science International Team, MSIT®
ISSN 1615-2018 (Physical Chemistry)
ISBN 3-540-20190-4 Springer-Verlag Berlin Heidelberg New York
Library of Congress Cataloging in Publication Data
Zahlenwerte und Funktionen aus Naturwissenschaften und Technik, Neue Serie
Editor in Chief: W. Martienssen
Vol. IV/11A1: Editors: G. Effenberg and S. Ilyenko
At head of title: Landolt-Börnstein. Added t.p.: Numerical data and functional relationships in science and technology.
Tables chiefly in English.
Intended to supersede the Physikalisch-chemische Tabellen by H. Landolt and R. Börnstein of which the 6th ed. began
publication in 1950 under title: Zahlenwerte und Funktionen aus Physik, Chemie, Astronomie, Geophysik und Technik.
Vols. published after v. 1 of group I have imprint: Berlin, New York, Springer-Verlag
Includes bibliographies.
1. Physics--Tables. 2. Chemistry--Tables. 3. Engineering--Tables.
I. Börnstein, R. (Richard), 1852-1913. II. Landolt, H. (Hans), 1831-1910.
III. Physikalisch-chemische Tabellen. IV. Title: Numerical data and functional relationships in science and technology.
QC61.23 02'.12 62-53136
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The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence
of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for
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Product Liability: The data and other information in this handbook have been carefully extracted and evaluated by experts from
the original literature. Furthermore, they have been checked for correctness by authors and the editorial staff before printing.
Nevertheless, the publisher can give no guarantee for the correctness of the data and information provided. In any individual
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Typesetting: Material Science International Team, StuttgartPrinting and Binding: AZ Druck, Kempten
SPIN: 10915981 63/3020 - 5 4 3 2 1 0 – Printed on acid-free paper
Editor: G. Effenberg
Co-Editor: S. Ilyenko
Materials Science International Services GmbHPostfach 800749, D-70507, Stuttgart, Germanyhttp://www.matport.com
Author: Materials Science International Team, MSIT®
The present series of books results from collaborative evaluation programs authored by MSIT® in whichdata and knowledge are contributed by many individuals and accumulated over almost twenty years.Authors for the evaluations in this volume are:
Ibrahim Ansara†, Grenoble, France
Oger Arkens, Leuven, Belgium
Laura Arrighi, Genova, Italy
Nataliya Bochvar, Moscow, Russia
Oksana Bodak, L’viv, Ukraine
Anatoliy Bondar, Kyiv, Ukraine
Yong Du, Changsha, China
Günter Effenberg, Stuttgart, Germany
Riccardo Ferro, Genova, Italy
Gautam Ghosh, Evanston, USA
Bernd Grieb, Tübingen, Germany
Joachim Gröbner, Clausthal-Zellerfeld, Germany
Andriy Grytsiv, Wien, Austria
Leonid Guzei, Moscow, Russia
Fred Hayes, Manchester, UK
Ernst-Theo Henig, Stuttgart, Germany
Kiyohito Ishida, Sendai, Japan
Kazuhiro Ishikawa, Sendai, Japan
Volodymyr Ivanchenko, Kyiv, Ukraine
Ryosuke Kainuma, Sendai, Japan
Kostyantyn Kornienko, Kyiv, Ukraine
Ortrud Kubaschewski, Aachen, Germany
K.C. Hari Kumar, Chennai, India
Viktor Kuznetsov, Moscow, Russia
Hans Leo Lukas, Stuttgart, Germany
Pierre Perrot, Lille, France
Alexander Pisch, Grenoble, France
Qingsheng Ran, Stuttgart, Germany
Paola Riani, Genova, Italy
Peter Rogl, Wien, Austria
Lazar L. Rokhlin, Moscow, Russia
Eberhard E. Schmid, Frankfurt, Germany
Rainer Schmid-Fetzer, Clausthal-Zellerfeld, Germany
Gerhard Schneider, Stuttgart, Germany
Hans J. Seifert, Stuttgart, Germany
Vladislav Sidorko, Kyiv, Ukraine
Sibylle Stiltz, Stuttgart, Germany
Vasyl Tomashik, Kyiv, Ukraine
Tamara Velikanova, Kyiv, Ukraine
Yuriy Voroshilov, Uzhorod, Ukraine
Andy Watson, Leeds, UK
Patric Wollants, Leuven, Belgium
Institutions
The content of this volume is produced by Materials Science International Services GmbH and its international team of materials scientists, MSIT®. Contributions to this volume have ben made from the following institutions:
The Baikov Institute of Metallurgy, Academy of
Sciences Moscow, Russia
Central South University, Research Institute of
Powder Metallurgy, State Key Laboratory for
Powder Metallurgy, Changsha, China
ENSEEG, Laboratoire de Thermodynamique et
Physico-Chimie Metallurgiques, Domaine
Universitaire Saint Martin d’Heres, Cedex, France
I.M. Frantsevich Institute for Problems of
Materials Science, National Academy of Sciences,
Kyiv, Ukraine
Indian Institute of Technology Madras, Department of Metallurgical Engineering, Chennai, India
Institute for Semiconductor Physics, National
Academy of Sciences, Kyiv, Ukraine
Katholieke Universiteit Leuven, Department
Metaalkunde en Toegepaste Materiaalkunde,
Heverlee, Belgium
G.V. Kurdyumov Institute for Metal Physics,
National Academy of Sciences, Kyiv, Ukraine
Magnequench Europe, Tübingen, Germany
Materials Science International Services GmbH,
Stuttgart, Germany
Max-Planck-Institut für Metallforschung,
Institut für Werkstoffwissenschaft,
Pulvermetallurgisches Laboratorium, Stuttgart,
Germany
Moscow State University, Chemical Faculty,
Moscow, Russia
National University of L’viv, Kathedra of
Inorganic Chemistry, L’viv, Ukraine
Northwestern University, Department of Materials
Science and Engineering, Evanston, USA
Technische Universität Clausthal, Metallurgisches
Zentrum, Clausthal-Zellerfeld, Germany
Tohoku University, Department of Materials,
Science Graduate School of Engineering, Sendai,
Japan
Universita di Genova, Dipartimento di Chimica,
Genova, Italy
Universite de Lille I, Laboratoire de Métallurgie Physique, Villeneuve d’ASCQ, Cedex, France
Universität Wien, Institut für Physikalische
Chemie, Wien, Austria
University of Leeds, Department of Materials,
School of Process, Environmental and Materials
Engineering, Leeds, UK
Uzhgorod State University, Uzhgorod, Ukraine
Preface
The sub-series Ternary Alloy Systems of the Landolt-Börnstein New Series provides reliable andcomprehensive descriptions of the materials constitution, based on critical intellectual evaluations of alldata available at the time. The first four volumes contain evaluation reports on selected ternary systems ofimportance to industrial light alloy development and systems which gained in the recent years otherwisescientific interest in the area of light metal systems. In a ternary materials system, however, one may findalloys for various applications, not only light alloys, depending on the chosen composition.
Reliable phase diagrams provide scientists and engineers with basic information of eminent importancefor fundamental research and for the development and optimization of materials. So collections of suchdiagrams are extremely useful, if the data on which they are based have been subjected to critical evaluation,like in these volumes. Critical evaluation means: there where contradictory information is published dataand conclusions are being analyzed, broken down to the firm facts and re-interpreted in the light of allpresent knowledge. Depending on the information available this can be a very difficult task to achieve.Critical evaluations establish descriptions of reliably known phase configurations and related data.
The evaluations are performed by MSIT®, Materials Science International Team, a group which workstogether since almost 20 years, now. Within this team skilled expertise is available for a broad range ofmethods, materials and applications. This joint competence is employed in the critical evaluation of theoften conflicting literature data. Particularly helpful in this are targeted thermodynamic calculations forindividual equilibria, driving forces or complete phase diagram sections.
Insight in materials constitution and phase reactions is gained from many distinctly different types ofexperiments, calculation and observations. Intellectual evaluations which interpret all data simultaneouslyreveal the chemistry of a materials system best. The conclusions on the phase equilibria may be drawn fromdirect observations e.g. by microscope, from monitoring caloric or thermal effects or measuring propertiessuch as electric resistivity, electro-magnetic or mechanical properties. Other examples of useful methods inmaterials chemistry are mass-spectrometry, thermo-gravimetry, measurement of electro-motive forces, X-ray and microprobe analyses. In each published case the applicability of the chosen method has to bevalidated, the way of actually performing the experiment or computer modeling has to be validated and theinterpretation of the results with regard to the material’s chemistry has to be verified.
An additional degree of complexity is introduced by the material itself, as the state of the material undertest depends heavily on its history, in particular on the way of homogenization, thermal and mechanicaltreatments. All this is taken into account in an MSIT expert evaluation.
To include binary data in the ternary evaluation is mandatory. Each of the three-dimensional ternaryphase diagrams has edge binary systems as boundary planes; their data have to match the ternary datasmoothly. At the same time each of the edge binary systems A-B is a boundary plane for many ternary A-B-X systems. Therefore combining systematically binary and ternary evaluations can lead to a new level ofconfidence and reliability in both ternary and binary phase diagrams. This has started systematically for thefirst time here, by the MSIT® Evaluation Programs applied to the Landolt-Börnstein New Series.
The multitude of correlated or inter-dependant data requires special care. Within MSIT® an evaluationroutine has been established that proceeds knowledge driven and applies both, human based expertise andelectronically formatted data and software tools. MSIT® internal discussions take place in almost allevaluations and on many different specific questions, adding the competence of a team to the work ofindividual authors. In some cases the authors of earlier published work contributed to the knowledge baseby making their original data records available for re-interpretation. All evaluation reports published herehave undergone a thorough review process in which the reviewers had access to all the original data.
In publishing we have adopted a standard format that presents the reader with the data for each ternarysystem in a concise and consistent manner. Special features of the compendium and the standard format areexplained in the Introduction to the volumes.
In spite of the skill and labor that have been put into this volume, it will not be faultless. All criticismsand suggestions that can help us to improve our work are very welcome. Please contact us [email protected]. We hope that this volume will prove to be an as useful tool for the materialsscientist and engineer as the other volumes of Landolt-Börnstein New Series and the previous works ofMSIT® have been. We hope that the Landolt Börnstein Sub-series, Ternary Alloy Systems will be wellreceived by our colleagues in research and industry.
On behalf of the participating authors I want to thank all those who contributed their comments andinsight during the evaluation process. In particular we thank the reviewers. Their names are as follows:Pierre Perrot, Hans Leo Lukas, Hans Stadelmaier, Tamara Velikanova, Gabriele Cacciamani, AlexanderPisch, Oksana Bodak, Hari Kumar, Rainer Schmid-Fetzer, Peter Rogl, Benjamin Grushko, Andy Watson,Lazar Rokhlin, Nathalie Lebrun.
We all gratefully acknowledge the skilled scientific and technical coordination by Dr. Svitlana Ilyenkoand the editorial team: Dr. Larisa Plashnitsa, Dr. Oleksandra Berezhnytska, Dr. Oleksandr Dovbenko, Ms.Natalya Bronska.
Dr. G. Effenberg Stuttgart, October 2003
Contents
IV/11A1 Ternary Alloy SystemsPhase Diagrams, Crystallographic and Thermodynamic Data
Subvolume A Light Metal Systems
Part 1 Selected Systems from Ag-Al-Cu to Al-Cu-Er
IntroductionData Covered . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIGeneral . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIStructure of a System Report . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XI
Literature Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIBinary Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XISolid Phases . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XIIPseudobinary Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XIIIInvariant Equilibria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XIIILiquidus, Solidus, Solvus Surfaces. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XIIIIsothermal Sections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XIIITemperature – Composition Sections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XIIIThermodynamics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XIIINotes on Materials Properties and Applications. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XIIIMiscellaneous . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XIIIReferences. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .XVI
General References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . XVII
Ternary SystemsAg–Al–Cu (Silver – Aluminium – Copper) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1Ag–Al–Mg (Silver – Aluminium – Magnesium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8Ag–Al–Ti (Silver – Aluminium – Titanium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16Ag–Cu–Mg (Silver – Copper – Magnesium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23Al–B–C (Aluminium – Boron – Carbon) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29Al–B–Mg (Aluminium – Boron – Magnesium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52Al–B–N (Aluminium – Boron – Nitrogen). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56Al–B–Ni (Aluminium – Boron – Nickel) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67Al–B–Ti (Aluminium – Boron – Titanium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80Al–Be–Cu (Aluminium – Beryllium – Copper) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102Al–Be–Mg (Aluminium – Beryllium – Magnesium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115Al–C–Fe (Aluminium – Carbon – Iron) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123Al–C–Si (Aluminium – Carbon – Silicon) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139Al–Ca–Li (Aluminium – Calcium – Lithium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146Al–Ca–Si (Aluminium – Calcium – Silicon) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 150Al–Cd–Cu (Aluminium – Cadmium – Copper) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 159Al–Cd–Mg (Aluminium – Cadmium – Magnesium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168
Al–Ce–Co (Aluminium – Cerium – Cobalt). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174Al–Ce–Cu (Aluminium – Cerium – Copper) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181Al–Ce–Fe (Aluminium – Cerium – Iron) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196Al–Co–Fe (Aluminium – Cobalt – Iron) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206Al–Co–Gd (Aluminium – Cobalt – Gadolinium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 217Al–Co–Hf (Aluminium – Cobalt – Hafnium). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 224Al–Co–Mn (Aluminium – Cobalt – Manganese) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 229Al–Co–Ni (Aluminium – Cobalt – Nickel) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 246Al–Co–Ti (Aluminium – Cobalt – Titanium). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 289Al–Co–Y (Aluminium – Cobalt – Yttrium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 303Al–Cr–Cu (Aluminium – Chromium – Copper). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 310Al–Cr–Fe (Aluminium – Chromium – Iron) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 320Al–Cr–Mg (Aluminium – Chromium – Magnesium). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 351Al–Cr–Nb (Aluminium – Chromium – Niobium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 360Al–Cr–Ni (Aluminium – Chromium – Nickel) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371Al–Cr–Si (Aluminium – Chromium – Silicon) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 411Al–Cr–Zr (Aluminium – Chromium – Zirconium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 421Al–Cu–Dy (Aluminium – Copper – Dysprosium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 431Al–Cu–Er (Aluminium – Copper – Erbium) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 439
CD-ROM providing interactive access to the system reports of this volume
Survey of Volume IV/11A1
Ternary Alloy SystemsPhase Diagrams, Crystallographic andThermodynamic Data
critically evaluated by MSIT®
Light Metal Systems Subvolume A
Selected Systems from Ag-Al-Cu to Al-Cu-Er Part 1
Selected Systems from Al-Cu-Fe to Al-Fe-Ti Part 2
Selected Systems from Al-Fe-V to Al-Ni-Zr (tentative) Part 3
Selected Systems from Al-Si-Ti to N-Ti-V (tentative) Part 4
Noble Metal Systems Subvolume B
Non-Ferrous Metal Systems Subvolume C
Iron Systems Subvolume D
Refractory Metal Systems Subvolume E
XI
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Introduction
Introduction
Data Covered
The series focuses on light metal ternary systems and includes phase equilibria of importance for alloydevelopment, processing or application, reporting on selected ternary systems of importance to industriallight alloy development and systems which gained otherwise scientific interest in the recent years.
General
The series provides consistent phase diagram descriptions for individual ternary systems. Therepresentation of the equilibria of ternary systems as a function of temperature results in spacial diagramswhose sections and projections are generally published in the literature. Phase equilibria are described interms of liquidus, solidus and solvus projections, isothermal and pseudobinary sections; data on invariantequilibria are generally given in the form of tables.
The world literature is thoroughly and systematically searched back to the year 1900. Then, thepublished data are critically evaluated by experts in materials science and reviewed. Conflicting informationis commented upon and errors and inconsistencies removed wherever possible. It considers those, and onlythose data, which are firmly established, comments on questionable findings and justifies re-interpretationsmade by the authors of the evaluation reports.
In general, the approach used to discuss the phase relationships is to consider changes in state and phasereactions which occur with decreasing temperature. This has influenced the terminology employed and isreflected in the tables and the reaction schemes presented.
The system reports present concise descriptions and hence do not repeat in the text facts which canclearly be read from the diagrams. For most purposes the use of the compendium is expected to be self-sufficient. However, a detailed bibliography of all cited references is given to enable original sources ofinformation to be studied if required.
Structure of a System Report
The constitutional description of an alloy system consists of text and a table/diagram section which areseparated by the bibliography referring to the original literature (see Fig. 1). The tables and diagrams carrythe essential constitutional information and are commented on in the text if necessary.
Where published data allow, the following sections are provided in each report:
Literature Data
The opening text reviews briefly the status of knowledge published on the system and outlines theexperimental methods that have been applied. Furthermore, attention may be drawn to questions which arestill open or to cases where conclusions from the evaluation work modified the published phase diagram.
Binary Systems
Where binary systems are accepted from standard compilations reference is made to these compilations.In other cases the accepted binary phase diagrams are reproduced for the convenience of the reader. Theselection of the binary systems used as a basis for the evaluation of the ternary system was at the discretionof the assessor.
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Introduction
Solid Phases
The tabular listing of solid phases incorporates knowledge of the phases which is necessary or helpfulfor understanding the text and diagrams. Throughout a system report a unique phase name and abbreviationis allocated to each phase.
Phases with the same formulae but different space lattices (e.g. allotropic transformation) aredistinguished by:
– small letters (h), high temperature modification (h2 > h1)(r), room temperature modification(1), low temperature modification (l1 > l2)
– Greek letters, e.g., , '– Roman numerals, e.g., (I) and (II) for different pressure modifications.In the table “Solid Phases” ternary phases are denoted by * and different phases are separated by
horizontal lines.
Heading
Literature Data
Binary Systems
Solid Phases
Pseudobinary Systems
Invariant Equilibria
Liquidus, Solidus, Solvus Surfaces
Isothermal Sections
Miscellaneous
Miscellaneous
Isothermal Sections
Liquidus, Solidus, Solvus Surfaces
Invariant Equilibria
Pseudobinary Systems
Solid Phases
Binary Systems
Text
References
Tables anddiagrams
Temperature-Composition Sections
Temperature-Composition Sections
Thermodynamics
Materials Properties and Applications
Thermodynamics
Materials Properties and Applications
Fig. 1: Structure of a system report
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Introduction
Pseudobinary Systems
Pseudobinary sections describe equilibria and can be read in the same way as binary diagrams. The notationused in pseudobinary systems is the same as that of vertical sections, which are reported under“Temperature-Composition Sections”.
Invariant Equilibria
The invariant equilibria of a system are listed in the table “Invariant Equilibria” and, where possible, aredescribed by a constitutional “Reaction Scheme” (Fig. 2).
The sequential numbering of invariant equilibria increases with decreasing temperature, one numberingfor all binaries together and one for the ternary system.
Equilibria notations are used to indicate the reactions by which phases will be– decomposed (e- and E-type reactions)– formed (p- and P-type reactions)– transformed (U-type reactions)For transition reactions the letter U (Übergangsreaktion) is used in order to reserve the letter T to denote
temperature. The letters d and D indicate degenerate equilibria which do not allow a distinction accordingto the above classes.
Liquidus, Solidus, Solvus Surfaces
The phase equilibria are commonly shown in triangular coordinates which allow a reading of theconcentration of the constituents in at.%. In some cases mass% scaling is used for better data readability(see Figs. 3 and 4).
In the polythermal projection of the liquidus surface, monovariant liquidus grooves separate phaseregions of primary crystallization and, where available, isothermal lines contour the liquidus surface (seeFig. 3).
Isothermal Sections
Phase equilibria at constant temperatures are plotted in the form of isothermal sections (see Fig. 4).
Temperature – Composition Sections
Non-pseudobinary T-x sections (or vertical sections, isopleths, polythermal sections) show the phasefields where generally the tie lines are not in the same plane as the section. The notation employed for thelatter (see Fig. 5) is the same as that used for binary and pseudobinary phase diagrams.
Thermodynamics
Experimental ternary data are reported in some system reports and reference to thermodynamicmodelling is made.
Notes on Materials Properties and Applications
Noteworthy physical and chemical materials properties and application areas are briefly reported if theywere given in the original constitutional and phase diagram literature.
Miscellaneous
In this section noteworthy features are reported which are not described in preceding paragraphs. Theseinclude graphical data not covered by the general report format, such as lattice spacing – composition data,p-T-x diagrams, etc.
XIV
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Introduction
Fig
. 2:
T
ypic
alre
acti
on s
chem
e
Ag-T
lT
l-B
iB
i-A
gA
g-T
l-B
i
(Tl)
(h)
(T
l)(r
),(A
g)
23
4d
1l
(A
g)
+ (
Bi)
26
1e 5
(Ag
) +
(T
l)(h
) +
Tl 3
Bi
L +
Tl 3
Bi
(A
g)
+ (
Tl)
(h)
28
9U
1
l (
Ag
)+(T
l)(h
)
29
1e 3
l (
Tl)
(h)+
Tl 3
Bi
30
3e 1
l (
Bi)
+T
l 2B
i 3
20
2e 7
l T
l 3B
i+T
l 2B
i 3
19
2e 8
(Tl)
(h)
Tl 3
Bi+
(Tl)
(r)
14
4e 9
L (
Ag
) +
Tl 3
Bi
29
4e 2
(max
)
L (
Ag
) +
(T
l)(h
)
28
9e 4
(min
)
L (
Ag
) +
Tl 2
Bi 3
20
7e 6
(max
)
(Ag
)+(B
i)+
Tl 2
Bi 3
L (
Ag)+
(Bi)
+T
l 2B
i 31
97
E1
(Ag
)+(T
l)(r
)+T
l 3B
i
(Tl)
(h)
Tl 3
Bi
+ (
Tl)
(r),
(Ag
)1
44
D1
(Ag
)+T
l 3B
i+T
l 2B
i 3
L (
Ag
)+T
l 3B
i+T
l 2B
i 31
88
E2
seco
nd b
inar
y
eute
ctic
rea
ctio
nfi
rst
bin
ary e
ute
ctic
rea
ctio
n
(hig
hes
t te
mper
ature
)te
rnar
y m
axim
um
reac
tion
tem
per
ature
of
26
1°C
mo
no
var
iant
equil
ibri
um
sta
ble
do
wn
to
lo
w
tem
per
ature
s
seco
nd
tern
ary
eute
ctic
reac
tion
equat
ion o
f eu
tect
oid
reac
tion a
t 144°C
XV
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Introduction
20
40
60
80
20 40 60 80
20
40
60
80
A B
C Data / Grid: at.%
Axes: at.%
δ700
p1
500
400
400°C
γ
300
U e1
700
500
β(h)
400
300
E
300
α400
e2
500°C isotherm, temperature is usualy in °C
liquidus groove to decreasing temperatures
estimated 400°C isotherm
limit of known region
ternary invariantreaction
binary invariantreaction
primary γ-crystallization
20
40
60
80
20 40 60 80
20
40
60
80
A B
C Data / Grid: mass%
Axes: mass%
L+γ
γ+β(h)
L+γ+β(h)
β(h)
L+β(h)
L
L+α
α
phase field notation
estimated phase boundary
tie line
three phase field (partially estimated)
experimental points(occasionally reported)
limit of known region
phase boundary
γ
Fig. 3: Hypothetical liquidus surface showing notation employed
Fig. 4: Hypothetical isothermal section showing notation employed
XVI
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Introduction
References
The publications which form the bases of the assessments are listed in the following manner:[1974Hay] Hayashi, M., Azakami, T., Kamed, M., “Effects of Third Elements on the Activity of Lead
in Liquid Copper Base Alloys” (in Japanese), Nippon Kogyo Kaishi, 90, 51-56 (1974) (Experimental,Thermodyn., 16)
This paper, for example, whose title is given in English, is actually written in Japanese. It was publishedin 1974 on pages 51- 56, volume 90 of Nippon Kogyo Kaishi, the Journal of the Mining and MetallurgicalInstitute of Japan. It reports on experimental work that leads to thermodynamic data and it refers to 16 cross-references.
Additional conventions used in citing are:# to indicate the source of accepted phase diagrams* to indicate key papers that significantly contributed to the understanding of the system.Standard reference works given in the list “General References” are cited using their abbreviations and
are not included in the reference list of each individual system.
60 40 200
250
500
750
A 80.00B 0.00C 20.00
A 0.00B 80.00C 20.00Al, at.%
Tem
pera
ture
, °C
L
32.5L+β(h)
β(r) - room temperature
β(r)
L+α+β(h)
α+β(h)
α
L+α
phase field notation
concentration ofabscissa element
alloy compositionin at.%
β(h)
modification
β(h) - high temperaturemodification188
temperature, °C
Fig. 5: Hypothetical vertical section showing notation employed
XVII
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Introduction
General References
[E] Elliott, R.P., Constitution of Binary Alloys, First Supplement, McGraw-Hill, New York(1965)
[G] Gmelin Handbook of Inorganic Chemistry, 8th ed., Springer-Verlag, Berlin [H] Hansen, M. and Anderko, K., Constitution of Binary Alloys, McGraw-Hill, New York
(1958) [L-B] Landolt-Boernstein, Numerical Data and Functional Relationships in Science and
Technology (New Series). Group 3 (Crystal and Solid State Physics), Vol. 6, Eckerlin, P.,Kandler, H. and Stegherr, A., Structure Data of Elements and Intermetallic Phases (1971);Vol. 7, Pies, W. and Weiss, A., Crystal Structure of Inorganic Compounds, Part c, KeyElements: N, P, As, Sb, Bi, C (1979); Group 4: Macroscopic and Technical Properties of
Matter, Vol. 5, Predel, B., Phase Equilibria, Crystallographic and Thermodynamic Data of
Binary Alloys, Subvol. a Ac-Au ... Au-Zr (1991); Springer-Verlag, Berlin. [Mas] Massalski, T.B. (Ed.), Binary Alloy Phase Diagrams, ASM, Metals Park, Ohio (1986) [Mas2] Massalski, T.B. (Ed.), Binary Alloy Phase Diagrams, 2nd edition, ASM International,
Metals Park, Ohio (1990) [P] Pearson, W.B., A Handbook of Lattice Spacings and Structures of Metals and Alloys,
Pergamon Press, New York, Vol. 1 (1958), Vol. 2 (1967) [S] Shunk, F.A., Constitution of Binary Alloys, Second Supplement, McGraw-Hill, New York
(1969) [V-C] Villars, P. and Calvert, L.D., Pearson's Handbook of Crystallographic Data for
Intermetallic Phases, ASM, Metals Park, Ohio (1985) [V-C2] Villars, P. and Calvert, L.D., Pearson's Handbook of Crystallographic Data for
Intermetallic Phases, 2nd edition, ASM, Metals Park, Ohio (1991)
1
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Cu
Silver – Aluminium – Copper
K.C. Hari Kumar and Oger Arkens
Literature Data
The liquidus surface and isotherms were investigated by [1930Uen]. In a review article by [1977Cha] these
data were corrected in order to be consistent with then accepted binary phase diagrams, especially along the
Al-Cu edge. The first evaluation within the ongoing MSIT Evaluation Programs was made by [1990Ark],
which is updated by the present work. Employing metallographic technique [1961Pan] determined phase
equilibria near the Cu-rich corner at 500 and 700°C. Using optical microscopy, X-ray diffraction and
electron microprobe analysis [1973Mas] determined phase relationships in the temperature range 575 to
625°C along the Ag-Cu side of the ternary systems. Their results are generally not in agreement with that
of [1961Pan]. They also concluded that small additions of Cu to Ag3Al(h) phase stabilizes it well below the
temperature of existence in the binary. Liquidus in the region Al-Al2Cu-Ag2Al was investigated by
[1983Liu] using thermal analysis. They identified a ternary eutectic reaction at 500°C and claimed that the
section Al2Cu-Ag2Al is pseudobinary, with a monovariant maximum at 527°C. [1989Ado1, 1989Ado2]
established isothermal phase relationships along the Ag-Cu edge of the ternary at 500, 650 and 850°C by
analyzing samples prepared from high purity starting materials, employing X-ray diffraction,
metallography, thermal analysis and electron microprobe analysis. Their results are in agreement with that
of [1973Mas], except that they could not observe any extended stability for the Ag3Al(h) phase. The
isothermal section at 850°C should be treated as metastable since the fcc miscibility gap originating from
Ag-Cu system is still present in the section. Moreover, this section is above the eutectic temperature of the
Ag-Cu system and therefore liquid phase also should be present. [2000Fla] measured the partial enthalpies
of components in the liquid phase and thereby integral enthalpies of mixing of liquid alloys at 873°C using
a drop-calorimeter. Measurements were performed starting from pure Al to about 40 at.% Al along three
sections with Ag:Cu ratios of about 1:3, 1:1 and 3:1. The partial enthalpies of mixing of the components of
liquid alloys at 979°C were determined using a high-temperature isoperibolic calorimeter [2002Wit].
Measurements were performed starting from both pure Al and from binary liquid Ag-Cu alloys along
sections with constant Ag:Cu ratios 1:3, 1:1, and 3:1. The integral enthalpies of mixing of these ternary
alloys are calculated from the partial enthalpies of mixing using different methods. It was found that the
partial enthalpy of Cu reported by [2000Fla] for all sections from are about 8 kJ·mol-1 more negative in
comparison with data of [2002Wit].
[1997Lim] modelled the Gibbs energy functions of the stable phases in the ternary system using the Calphad
approach. They calculated the isothermal section at 575°C and the liquidus projection pertaining to the
Al-corner.
Binary Systems
The binary systems used in the present evaluations are: Al-Cu [2003Gro], Ag-Al [1995Lim] and Ag-Cu
[2003Van].
Solid Phases
The known binary phases are listed in Table 1. No ternary phase is formed in the Al-rich corner up to Ag2Al
and to CuAl2, and not at the Ag-Cu-side up to 37 at.% Al, 63 at.% Cu and 50 at.% Ag, 50 at.% Al.
Pseudobinary Systems
The existence of a pseudobinary section Ag2Al-Al2Cu is reported by [1983Liu]. Only the monovariant
eutectic maximum (e6, L + ) is reported using DTA measurements: 527°C at the composition
21.8Ag-55.8Al-22.4Cu (at.%).
2
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Cu
Invariant Equilibria
Certain plausible invariant equilibria in the system were discussed by [1925Got, 1976Mon, 1977Cha]. A
ternary eutectic reaction L (Al)+ + occurring at 500°C is reported by [1983Liu]. Composition of the
liquid phase is given in Table 2.
Liquidus Surface
Figure 1 shows the liquidus projection along with few isotherms for the region Al-Al2Cu-Ag2Al as
investigated by [1983Liu]. Liquidus data reported by [1930Uen] is not used here due to inconsistencies with
binary systems. It should be noted that [1930Uen] determined the liquidus projection at a time when little
was known about the binary systems and even the liquidus projection proposed by [1977Cha] ignores many
reactions originating from the binaries Al-Cu and Ag-Al.
Isothermal Sections
The isothermal section at 625°C in the 0 to 40 at.% Al region is shown in Fig. 2. It is adapted from
[1973Mas]. [1973Mas] also reports the 575°C isotherm, which is essentially similar to Fig. 3, except for a
small three-phase region (Ag)+ 2+ appearing just inside the Ag-Al binary line at about 2.7 at.% Ag. Figure
3 depicts isothermal section at 500°C. It is based on the data from [1989Ado1, 1989Ado2].
Thermodynamics
The evaluated integral enthalpy of mixing of liquid alloys demonstrates that the minimum for the Ag-Al-Cu
is at -17.1 kJ·mol-1 corresponding to the binary composition Al4Cu6. Figure 4 is taken from [2002Wit], that
depicts isoenthalpy contours calculated using fitted equations.
References
[1925Got] Goto, S., Tokushicki, M., “On some Aluminium Alloys, 2nd Report” (in Japanese), J. Min.
Metall. Inst. Japan, 1-17 (1925) (Experimental, Equi. Diagram, 2)
[1930Uen] Ueno, S., “On the Ternary Silver Alloys IV Mechanical Properties of some Ternary Silver
Alloys”, Kyoto Imp. Univ., 57, 78-83 (1930) (Equi. Diagram, Experimental, 2)
[1931Pre] Preston, G.D., “An X-Ray Investigation of some Copper-Aluminium Alloys”, Philos. Mag.,
12, 980-993 (1931) (Crys. Structure, Experimental, 11)
[1961Pan] Panseri, C, Leoni, M., “The Constitution of Ternary Alloys of Cu, Al and Ag Containing
High Percentages of Cu” (in Italian), Allumino, 30, 289-298 (1961) (Equi. Diagram,
Experimental, 8)
[1973Mas] Massalski, T.B., Perepezko, J.H., “Constitution and Phase Relationships in
Copper-Silver-Aluminium Ternary System”, Z. Metallkd., 64, 176-181 (1973)
(Experimental, Equi. Diagram, *, 17)
[1976Mon] Mondolfo, L.F., “Aluminium Alloys - Structure and Properties”, Butterworth, 420-421
(1976) (Review, Crys. Structure, Phys. Prop., 13)
[1977Cha] Chang, Y.A., Goldberg, D., Neumann, J.P., “Phase Diagrams and Thermodynamic
Properties of Ternary Copper-Silver Systems”, J. Phys. Chem. Ref. Data, 6, 621-673 (1977)
(Review, Equi. Diagram, Crys. Structure, Thermodyn., #, 3)
[1983Liu] Liu-Shuqi, Zhao-Shimin, Zhang-Qiyun, “Phase Diagram of the Aluminium-Copper-Silver
Alloy System” (in Chinese), Acta Metall. Sin., 19, 70-73 (1983) (Experimental, Equi.
Diagram, 9)
[1985Mur] Murray, J.L., “The Aluminium-Copper System”, Int. Met. Rev., 30, 211-233 (1985) (Equi.
Diagram, Review, #, 230)
[1989Ado1] Adorno, A.T., Cilense, M., Garlipp, W., “Phase Relationships in the
Copper-Silver-Aluminum Ternary System, near the Copper-Rich Corner”, J. Mater. Sci.
Lett., 8(11), 1294-1297 (1989) (Experimental, Equi. Diagram, 4)
3
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Cu
[1989Ado2] Adorno, A.T., Cilense, M., Garlipp, W., “Phase Relationships in the
Copper-Silver-Aluminum Ternary System, Near the Copper-Rich Corner”, J. Mater. Sci.
Lett., 8(3), 281-284 (1989) (Experimental, Equi. Diagram, 4)
[1989Mee] Meetsma, A., de Boer, J.L., van Smaalen, S., “Refinement of the Crystal Structure of
Tetragonal Aluminum-Copper (Al2Cu)”, J. Solid State Chem., 83(2), 370-372 (1989) (Crys.
Structure, Experimental, 17)
[1990Ark] Arkens, O., “Silver - Aluminium - Copper”, MSIT Ternary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; Document ID: 10.11841.1.20, (1990) (Crys. Structure, Equi. Diagram,
Assessment, 7)
[1994Mur] Murray, J.L., “Al-Cu (Aluminium-Copper)”, in “Phase Diagrams of Binary Copper
Alloys”, Subramanian, P.R., Chakrabarti, D.J., Laughlin, D.E., (Eds.), ASM International,
Materials Park, OH, 18-42 (1994) (Equi. Diagram, Crys. Structure, Thermodyn., Review, #,
*, 226); similar to [1985Mur]
[1995Lim] Lim, M.S.S., Rossiter, P.L., Tibballs, J.E., “Assesment of the Al-Ag Phase Diagram”,
Calphad, 19(2), 131-141 (1995) (Assessment, Equi. Diagram, Theory, Thermodyn., 27)
[1997Lim] Lim, M.S.S., Tibballs, J.E., Rossiter, P.L., “An Assesment of Thermodynamic Equilibria in
the Ag-Al-Cu-Mg Quaternary System in Relation to Precipitation Reactions”, Z. Metallkd.,
88(3), 236-245 (1997) (Assessment, Equi. Diagram, Theory, Thermodyn., 40)
[1998Liu] Liu, X.J., Ohnuma, I., Kainuma, R., Ishida, K., “Phase Equilibria in the Cu-rich Portion of
the Cu-Al Binary System”, J. Alloys Compd., 264, 201-208 (1998) (Equi. Diagram,
Experimental, #, *, 25)
[2000Fla] Flandorfer, H., Hayer, E., “Partial and Integral Enthalpy of Molten Ag-Al-Cu Alloys”,
J. Alloys Compd., 296, 112-118 (2000) (Experimental, Thermodyn., 6)
[2002Gul] Gulay, L.D, Harbrecht, B., “The Crystal Structures of the 1 and 2 Phases in the Al-Cu
System”, Abstr. VIII Int. Conf. “Crystal Chemistry of Intermetallic Compounds”,
September 2002, Lviv, P139, 73 (2002) (Crys. Structure, Experimental, 5)
[2002Wit] Witusiewicz, V.T., Hecht, U., Rex, S., Sommer, F., “Partial and Integral Enthalpies of
Mixing of Liquid Ag-Al-Cu and Ag-Cu-Zn Alloys”, J. Alloys Compd., 337, 189-201 (2002)
(Experimental, Thermodyn., 30)
[2003Gro] Groebner, J., “Al-Cu (Aluminium - Copper)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; to be published, (2003) (Equi. Diagram, Crys. Structure, Assessment, 68)
[2003Van] van Rompaey, T., Rogl, P., “Ag-Cu (Silver - Copper)”, MSIT Binary Evaluation Program,
in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart, Document ID: 20.14511.1.20, (2003) (Equi. Diagram, Crys. Structure,
Assessment, 28)
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Ag)
< 961.93
cF4
Fm3m
Cu
a = 408.57 pure Ag at 25°C
[Mas2]
(Al)
< 660.452
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
4
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Cu
(Cu)
< 1084.62
cF4
Fm3m
Cu
a = 361.46 at 25°C [Mas2]
melting point [1994Mur]
2, Ag3Al(h)
600-778
cI2
Im3m
W
a = 324
[Mas2]
[V-C2], 700°C
, Ag3Al(r)
< 450
cP20
P4132
Mn
a = 694.2
[Mas2]
[V-C2]
, Ag2Al
< 726
hP2
P63/mmc
Mg
a = 287.79
c = 462.25
22.9-41.9 at.% Al [Mas2]
[V-C2] 25°C
, Cu3Al
1049-559
cI2
Im3m
W a = 295.64
70.6 to 82 at.% Cu [1985Mur] [1998Liu]
at 672°C in + (Cu) alloy
2, Cu1-xAlx< 363
~TiAl3long period
superlattice
a = 366.8
c = 368.0
0.22 x 0.235 [Mas, 1985Mur]
at 76.4 at.% Cu
(subcell only)
0, Cu1-xAlx1037-800
cI52
I43m
Cu5Zn8
- 0.31 x 0.40 [Mas2]
0.32 x 0.38[1998Liu]
1, Cu9Al4< 890
cP52
P43m
Cu9Al4
a = 870.68
a = 871.32
at 33.8 at.% Al [V-C] from single crystal
[V-C]
, Cu1-xAlx< 686
hR*
R3m
a = 1226
c = 1511
0.381 x 0.407
[Mas2, 1985Mur]
at x = 38.9 [V-C]
1, Cu1-xAlx958-848
c**? - 0.379 x 0.406
[Mas2, 1985Mur]
2, Cu2-xAl
850-560
hP6
P63/mmc
Ni2In
a = 414.6
c = 506.3
0.47 x 0.78
55.0 to 61.1 at.% Cu
[Mas, 1985Mur, V-C2]
NiAs in [Mas2, 1994Mur]
1, Cu47.8Al35.5(h)
590-530
oF88 - 4.7
Fmm2
Cu47.8Al35.5
a = 812
b = 1419.85
c = 999.28
55.2 to 59.8 at.% Cu [Mas2, 1994Mur]
structure: [2002Gul]
2, Cu11.5Al9(r)
< 570
oI24 - 3.5
Imm2
Cu11.5Al9
a = 409.72
b = 703.13
c = 997.93
55.2 to 56.3 at.% Cu [Mas2, 1985Mur]
structure: [2002Gul]
1, CuAl(h)
624-560
o*32 a = 408.7
b = 1200
c = 863.5
49.8 to 52.4 at.% Cu
[V-C2, Mas2, 1985Mur]
Pearson symbol: [1931Pre]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
5
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Cu
Table 2: Invariant Equilibria
2, CuAl(r)
< 569
mC20
C2/m
CuAl(r)
a = 1206.6
b = 410.5
c = 691.3
= 55.04°
49.8 to 52.4 at.% Cu
[V-C2]
, CuAl2< 591
tI12
I4/mcm
CuAl2
a = 606.3
c = 487.2
31.9 to 33.0 at.% Cu [1994Mur]
Single crystal
[V-C2, 1989Mee]
Reaction T [°C] Type Phase Composition (at.%)
Ag Cu Al
L (Al) + + 500 E L 17.5 14.0 68.5
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
20
40
60
80
20 40 60 80
20
40
60
80
Cu Ag
Al Data / Grid: at.%
Axes: at.%
550
550
575
600
700
650
575
600
e1
p1
e2
e3
525
625
675
p2
p5p6
e5
p4
p3
575
e4
e6
E
p7
(Al)
θ ζ
Fig. 1: Ag-Al-Cu.
Liquidus surface
6
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Cu
20
40
60
80
20 40 60 80
20
40
60
80
Cu Ag
Al Data / Grid: at.%
Axes: at.%
γ1
β
(Cu)
(Cu)+(Ag)
γ1+β2
γ1+(Ag)
ζ
β2
(Ag)
Fig. 2: Ag-Al-Cu.
Isothermal section at
625°C
20
40
60
80
20 40 60 80
20
40
60
80
Cu Ag
Al Data / Grid: at.%
Axes: at.%
γ1
(Cu)
(Cu)+(Ag)
γ1+(Ag)
ζ
(Ag)
Fig. 3: Ag-Al-Cu.
Isothermal section at
500°C
7
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Cu
20
40
60
80
20 40 60 80
20
40
60
80
Cu Ag
Al Data / Grid: at.%
Axes: at.%
0
-4
-2
-16 -14 -12-10
-8
-6
-4
-20
2
Fig. 4: Ag-Al-Cu.
Isoenthalpy contours
for integral enthalpy
of mixing of liquid
alloys at 979°C
8
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Mg
Silver – Aluminium – Magnesium
Qingsheng Ran, updated by Ibrahim Ansara†, K.C. Hari Kumar, Patric Wollants and Yong Du
Literature Data
The Al-AgMg section of the system was studied by [1933Ota] using thermal analysis, metallography and
electrical resistance measurements on twenty alloys. The materials used were of 99.9 (Ag), 99.8 (Al) and
99.8 (Mg) mass% purity. [1933Ota] proposed the section to be a pseudobinary system, which was also
mentioned by [1959Zam] and [1961Fri]. [1957Kus], however, disputed this on the basis of X-ray diffraction
studies of the precipitates occurring in a Al-1.98 mole% AgMg and a Al-2.22 mole% AgMg alloy.
The Mg-rich corner was investigated by thermal and metallographic analysis ([1938Nis], 37 alloys;
[1939Hau], 69 alloys; [1939Saw], 54 alloys; [1945Kus1], 52 alloys and [1945Kus2], 15 alloys) and X-ray
diffraction [1945Kus1, 1945Kus2]. All the authors used metals with a purity better than 99.8 mass%.
The Al-rich corner was studied by metallography ([1959Zam], 38 alloys; [1961Fri], 38 alloys and [1969Ito],
10 alloys), thermal analysis (DTA) [1961Fri, 1969Ito], X-ray diffraction ([1972Wil], 22 alloys),
microhardness [1961Fri] and electrical resistivity measurements [1969Ito]. The Al had a purity of 99.98
mass% or better. [1986Cou] studied the stable and metastable precipitates of three alloys in the Al-rich
corner at 120, 183 and 235°C, and determined the precipitated phases and their structures using X-ray
diffraction.
Alloys containing 99.99% pure Al and Ag and > 99.8% Mg were examined by [1986Sch]. The 400, 300
and 200°C sections in the Mg-rich corner were investigated based on ten samples. The equilibrium
composition of the phases in two- and three-phase equilibria was determined by electron beam
microanalysis and metallography.
The agreement between different experiments for the Mg-rich and the Al-rich corner is generally good,
except for the concentrations of the liquid and the Mg solid solution at the invariant equilibrium. Values
from [1939Saw] strongly differ from the other reported values. [1956Gla] reported the mutual solubilities
of AgMg and Ag3Al based on X-ray and microstructural investigation, without details of the experimental
procedures. [1933Ota] mentioned the existence of the ternary compound AgMgAl and its equilibria with
other phases. [1957Kus] determined its structure. Another ternary compound T, with a composition near
8.92 Ag - 52.87 Al - 38.21 Mg at.%, was proposed by [1965Whe]. Using TEM, he found this phase to be
body-centered cubic. This phase was confirmed at a slightly different composition by [1966Aul] using
X-ray diffraction. Both ternary phases, AgMgAl and T, were confirmed by XRD [1972Wil, 1986Cou].
A metastable phase (T') with the same composition as T was detected by [1976Aul] and confirmed by
[1986Cou] by means of X-ray precession camera photographs. The unit cell was determined.
The present evaluation was published in the MSIT Evaluation Program earlier and reflects today’s state of
knowledge.
Binary Systems
The binary Ag-Al system from [Mas2], the Ag-Mg system from [Mas2] and the Al-Mg system from
[1998Lia] are accepted.
Solid Phases
The structure of phase T was suggested by [1966Aul] to be the same as that of Mg32(Al,Zn)49 [1957Ber]
with the composition of (Ag,Al)49Mg32, Ag:Al = 1:6. The solid elements, the ternary compounds and the
phases appearing in the phase diagrams presented are listed in Table 1.
9
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Mg
Pseudobinary Sections
[1933Ota] reported the pseudobinary section Al-AgMg with the ternary compound AgMgAl and two
invariant equilibria. [1959Zam] and [1961Fri] mentioned this and measured the solubility limit of AgMgAl
in Al and the temperature at which this limit was achieved. The temperature agrees well with that reported
by [1933Ota]. However, the measured solubility was 1.98 and 2.62 mole% AgMg, whereas that determined
by [1933Ota] was 3.37 mole%. [1957Kus] reported that X-ray diffraction lines of a second precipitate
appeared in some of their Al+2.22 mole% AgMg samples, in addition to the lines of AgMg which were
always present. Therefore they disagreed that this section was a pseudobinary one. The conclusion of
[1957Kus] is quite doubtful, since AgAlMg is a stable phase, and a Al - 1.98 mole% AgMg sample of
[1957Kus] did not show diffraction lines of this phase. [1972Wil] also suggested that the section Al-AgMg
should not be pseudobinary at 200 C. The pseudobinary section based on [1933Ota] is presented in Fig. 1.
Invariant Equilibria
A ternary eutectic was reported between 403 and 405°C [1938Nis, 1939Hau, 1939Saw, 1945Kus1,
1945Kus2]. Concerning the liquid concentrations, four authors agree fairly well in the amounts of Ag and
Mg whereas [1939Saw] gave the values with 7.6 at.% Ag and 13.5 at.% Mg. Other reported invariant
equilibria are the peritectic and eutectic in the pseudobinary system Al-AgMg. The invariant equilibria are
listed in Table 2.
Liquidus Surface
[1939Hau] proposed a liquidus surface of the partial system with more than 50 mass% Mg. The
contributions of [1938Nis, 1939Saw] and [1945Kus1] are in good agreement.
Isothermal Sections
Isothermal sections of the Mg-rich region are shown in Fig. 3. With decreasing temperature the solubilities
of Ag and Al go down to 1 mass% Ag and 3 mass% Al at 200°C. Isothermal sections of the Al-corner at
500 and 200°C are presented in Figs. 4 and 5.
Thermodynamics
A thermodynamic calculation for the Ag-Al-Mg system has been performed by [1997Lim] who modelled
the ternary compounds AgMgAl and T as Ag1Mg1Al1 and (Ag,Al)49Mg32, respectively. The agreement
between the measured and calculated invariant reactions is good. Also for the Al-AgMg pseudobinary
system this is the case. However, some discrepancies between the calculated and experimentally determined
isothermal sections remain.
References
[1933Ota] Otani, B., “An Investigation of the Ternary Alloy of Al-Ag-Mg, “Silver Duralumin” (in
Japanese), Kinzoku no Kenkyu, 10, 262-276 (1933) (Equi. Diagram, Experimental, #, 1)
[1938Nis] Nishimura, H., Sawamoto, H., “On the Investigations of Magnesium-Rich Mg-Al-Ag
System” (in Japanese), Suiyokwai-Shi, 9, 645-653 (1938) (Equi. Diagram, Experimental,
13)
[1939Hau] Haughton, J.L., “Alloys of Magnesium, Part IX: The Constitution of the Magnesium Rich
Alloys of Magnesium, Aluminium and Silver”, J. Inst. Metals, 65, 447-456 (1939) (Equi.
Diagram, Experimental, #, 10)
10
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Mg
[1939Saw] Sawamoto, H., “Age-hardening of Mg-rich Mg-Al-Ag Alloys” (in Japanese),
Suiyokwai-Shi, 9, 821-829 (1939) (Equi. Diagram, Experimental, 0)
[1945Kus1] Kusnetsov V.G., Guseva, L.N., “Magnesium-rich Alloys of Magnesium with Aluminium
and Silver, I: Equilibrium Diagram of System Mg-Mg3Ag-Mg4Al3” (in Russian), Bull.
Acad. Sci. USSR, Classe Sci. Chim., 297-307 (1945) (Equi. Diagram, Experimental, 13)
[1945Kus2] Kusnetsov, V.G., “X-Ray Investigations of Solid Solutions of Aluminium and Silver in
Magnesium” (in Russian), Bull. Acad. Sci. USSR, Classe Sci. Chim., 420-430 (1945) (Equi.
Diagram, Experimental, 13)
[1956Gla] Gladyshevskii, E.I., Cherkashin, E.E., “Solid Solutions on the Bases of Metallic
Compounds” (in Russian), J. Inorg. Chem., 1, 1394-1401 (1956) (Equi. Diagram,
Experimental, 4)
[1957Ber] Bergman, G., Waugh, J.L.T., Pauling, L., “The Crystal Structure of the Metallic Phase
Mg32(AlZn)49”, Acta Crystallogr., 10, 254-259 (1957) (Crys. Structure, Experimental, 20)
[1957Kus] Kusumoto, K., Ohta, M., Konishi, N., “X-Ray Studies on the Precipitation Process of
Al-AgMg Alloys” (in Japanese), Nippon Kinzoku Gakkai Shi, 21, 561-565 (1957) (Crys.
Structure, Equi. Diagram, Experimental, 5)
[1959Zam] Zamotorin, M.I., “The Simultaneous Solubility of Magnesium and Silver in Aluminium in
the Solid State” (in Russian), Tr. Leningrad. Polithekhn. Inst., No.202, 28-29 (1959) (Equi.
Diagram, Experimental, 5)
[1961Fri] Fridlyander, I.N., Zakharov, A.M., “Phase Diagram and Mechanical Properties of
Al-AlAgMg Alloys” (in Russian), Deformation Alluminium Alloys, Sb. Statei, Moskow,
17-23 (1961) (Equi. Diagram, Experimental, Mechan. Prop., 5)
[1965Whe] Wheeler, M.J., Blankenburgs, G., Staddon, R.W., “Evidence for a Ternary Phase in the
Aluminium-Magnesium-Silver System”, Nature, 207, 746-767 (1965) (Crys. Structure,
Experimental, 3)
[1966Aul] Auld, J.H., Williams, B.E., “X-ray Powder Data of T Phases Composed of Aluminium and
Magnesium with Silver, Copper or Zinc”, Acta Crystallogr., 21, 830-831 (1966) (Crys.
Structure, Experimental, 4)
[1969Ito] Ito, T., Furuya, T., Matsuura, K., Watanabe, K., “The Solid Solubility of the -Phase in an
Al-Mg Alloy Containing 0.5 mass% Ag and the Aging Phenomena” (in Japanese), J. Jpn.
Inst. Met., 33, 1232-1238 (1969) (Equi. Diagram, Experimental, 16)
[1972Wil] Williams, B.E., “The Aluminium-rich Corner of the Al-Ag-Mg Phase Diagrams”,
J. Australian Inst. Metals, 17, 171-174 (1972) (Equi. Diagram, Crys. Structure,
Experimental, #, 9)
[1976Aul] Auld, J.H., Cousland, S., “The Metastable T' Phase in Al-Zn-Mg and Al-Ag-Mg Alloys”,
Met. Sci., 445-448 (1976) (Crys. Structure, Experimental, 10)
[1986Cou] Cousland, S.M., Tate, G.R., “Structural Changes Associated with Solid-State Reactions in
Al-Ag-Mg Alloys”, J. Appl. Crystallogr., 19, 174-180 (1986) (Crys. Structure, Equi.
Diagram, Experimental, 9)
[1986Sch] Schürmann, E., Engel, R., “Investigation of the Phase Equilibria of Magnesium rich Alloys
in the Quaternary System Magnesium-Silver-Aluminium-Lithium at 400, 300, and 200 C
with Respect to the Solid Solubility of the -Magnesium Solid Solution in Equilibrium with
the , , and Phases. Part 1: Experimental Conditions for Melting and Annealing as well
as Results of the Determination of Solid State Phase Equilibria of Magnesium Rich Alloys
of the Binary and Ternary Systems” (in German), Giessereiforschung, 38, 58-66 (1986)
(Equi. Diagram, Experimental, #, 25)
[1997Lim] Lim, M.S.-S., Tibballs, J.E., Rossiter, P.L., “An Assessment of Thermodynamic Equilibria
in the Ag-Al-Cu-Mg Quaternary System in Relation to Precipitation Reactions”,
Z. Metallkd., 88, 236-245 (1997) (Assessment, Thermodyn., Experimental, Theory, Equi.
Diagram, 40)
11
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Mg
[1997Su] Su, H.-L., Harmelin, M., Donnadieu, P., Baetzner, C., Seifert, H. J., Lukas, H. L., Effenberg,
G., Aldinger, F., “Experimental Investigation of the Mg-Al Phase Diagram from 47-63 at.%
Al”, J. Alloys Compd., 247, 57-65 (1997) (Equi. Diagram, Experimental, #, 20)
[1998Lia] Liang, P., Su, H.-L., Donnadieu, P., Harmelin, M.G., Quivy, A., Ochin, P., Effenberg, G.,
Seifert, H.J., Lukas, H.L., Aldinger, F., “Experimental Investigation and Thermodynamic
Calculation of the Central Part of the Mg-Al Phase Diagram”, Z. Metallkd. 89, 536-540
(1998) (Equi. Diagram, Thermodyn., Experimental, 33)
[2003Luk] Lukas, H.L.,“Al-Mg (Aluminium-Magnesium)”, MSIT Binary Evaluation Program, in
MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart; to be published, (2003) (Crys. Structure, Equi. Diagram, Assessment, 49)
Table 1: Crystallographic Data of Solid Phases
Phase /
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments
(Ag) cF4
Fm3m
Cu
a = 408.61 25°C
pure, [V-C2]
(Al)
< 660.452
cF4
Fm3m
Cu
a = 404.95 23°C
pure, [V-C2]
(Mg)
< 650
hP2
P63/mmc
Mg
a = 320.944
c = 521.076
25°C
pure, [V-C2]
Ag2Al
< 726
hP2
P63/mmc
Mg
a = 287.79
c = 462.25
[V-C2]
25°C
AgMg
< 820
cP2
Pm3m
CsCl
a = 331.14 [V-C2]
AgMg4
< 465
hP? [Mas2]
AgMg3
< 484
cF? [Mas2]
Mg2Al3< 452
cF1168
Fd3m
Mg2Al3
a = 2823.9 1168 atoms on 1704 sites per unit cell
[2003Luk])
60-62 at.% Al [1997Su]
Mg17Al12
< 458
cI58
I43m
Mn
a = 1048.11
a = 1053.05
a = 1057.91
52.58 at.% Mg [L-B]
56.55 at.% Mg [L-B]
60.49 at.% Mg [L-B]
designated as Mg4Al3 in some
publications
AgMgAl hP12
P63/mmc
MgZn2
a = 538
c = 874
[1972Wil]
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Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Mg
Table 2: Invariant Equilibria
* T, (Ag,Al)49Mg32 cI162
Mg32(AlZn)49
a = 1452±1 [1966Aul]
prototype suggested but not proved,
Ag:Al 1:6
* T', (Ag,Al)49Mg32 hP* a = 1411
c = 2804
[1976Aul] metastable
Reaction T [°C] Type Phase Composition (at.%)
Ag Al Mg
L + AgMg AgAlMg 570 p (min) L
AgMg
AgMgAl
31.01
47.05
33.33
37.98
5.90
33.33
31.01
47.05
33.33
L Al + AgAlMg 538 e (max) L
Al
AgMgAl
21.03
2.52
33.33
57.94
94.96
33.33
21.03
2.52
33.33
L Mg + Al12Mg17 + AgMg3 404 E L
(Mg)
Mg17Al12
AgMg3
8.26
1.43
~3
25
22.39
7.62
~37
0.4
69.35
90.95
~60
74.6
10 20 30 40400
500
600
700
800
900
Al Mg 50.00Ag 50.00Al 0.00Mg, at.%
Tem
pera
ture
, °C
(Al)
AgMg
AlAgMg
L
570
538
Fig. 1: Ag-Al-Mg.
The pseudobinary
system Al - AgMg
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Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Mg
60
70
80
90
10 20 30 40
10
20
30
40
Mg Mg 50.00Ag 50.00Al 0.00
Mg 50.00Ag 0.00Al 50.00 Data / Grid: at.%
Axes: at.%
e1(472°C)
e2(436°C)
E(404°C)
Mg17Al12
AgMg3
(Mg)
625 600
575 55
0 525
500
475
450
425
450
Fig. 2: Ag-Al-Mg.
Liquidus surface of
the Mg-corner
60
70
80
90
10 20 30 40
10
20
30
40
Mg Mg 50.00Ag 50.00Al 0.00
Mg 50.00Ag 0.00Al 50.00 Data / Grid: at.%
Axes: at.%
(Mg)+AgMg4
(Mg)
(Mg)+Al12Mg17
(Mg)+AgMg4+Al12Mg17
60
70
80
90
10 20 30 40
10
20
30
40
Mg Mg 50.00Ag 50.00Al 0.00
Mg 50.00Ag 0.00Al 50.00 Data / Grid: at.%
Axes: at.%
(Mg)+AgMg4
(Mg)
(Mg)+Al12Mg17
(Mg)+AgMg4+Al12Mg17
Fig. 3a: Ag-Al-Mg.
Partial isothermal
section at 400°C
14
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Mg
60
70
80
90
10 20 30 40
10
20
30
40
Mg Mg 50.00Ag 50.00Al 0.00
Mg 50.00Ag 0.00Al 50.00 Data / Grid: at.%
Axes: at.%
(Mg)+AgMg4
(Mg)+AgMg4+Al12Mg17
(Mg)+Al12Mg17
(Mg)
Fig. 3b: Ag-Al-Mg.
Partial isothermal
section at 300°C
60
70
80
90
10 20 30 40
10
20
30
40
Mg Mg 50.00Ag 50.00Al 0.00
Mg 50.00Ag 0.00Al 50.00 Data / Grid: at.%
Axes: at.%
(Mg)(Mg)+AgMg4
(Mg)+AgMg4+Al12Mg17
(Mg)+Al12Mg17
Fig. 3c: Ag-Al-Mg.
Partial isothermal
section at 200°C
15
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Mg
Mg 10.00Ag 0.00Al 90.00
Mg 0.00Ag 10.00Al 90.00
Data / Grid: at.%
Axes: at.%
(Al)
(Al)+AgAlMg
(Al)+T
(Al)+T+AgAlMg
Al
Fig. 4: Ag-Al-Mg.
500°C isothermal
section of the Al-cor-
ner
Mg 10.00Ag 0.00Al 90.00
Mg 0.00Ag 10.00Al 90.00
Data / Grid: at.%
Axes: at.%
(Al)+T
(Al)
+T
+A
gAlM
g
(Al)
+A
gMg+
AgA
lMg
(Al)+A
gMg+A
g2 A
l
(Al)
+A
gAlM
g
(Al)+AgMg
(Al)
(Al)+Ag2Al
(Al)+Al3Mg2
(Al)+Al3Mg2+T
Al
Fig. 5: Ag-Al-Mg.
200°C isothermal
section of the
Al-corner
16
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Ti
Silver – Aluminium – Titanium
Hans Leo Lukas
Literature Data
Köster and Sampaio [1957Koe] investigated ternary isothermal sections at 800°C, 1000°C and 1100°C by
X-ray and metallographic analyses (xTi > 25 at.% and xAg < 42 at.%). At these temperatures they found the
binary Al-Ti phases in equilibrium with an Ag-rich melt or with the silver solid solution, (Ag).
Hashimoto et al. [1983Has] determined the 800°C isothermal section (xAl < 75 at.%) and a vertical section
from Ti+51 at.% Al to Ag+7.5 at.% Al by electron microprobe, X-ray diffraction, scanning electron
microscopy and DTA. These authors analyzed also the ternary solubilities of the (Ag) solid solution at
800°C.
Mabuchi et al. [1990Mab] detected a ternary phase Ti(Al1-xAgx)3 of the AuCu3 type (L12) with 0.1<x<0.25.
This phase has also a considerable homogeneity range with respect to the ratio Ti:(Al+Ag), 25-30 at.% Ti
at 1000°C. [1957Koe] did not investigate the area of this phase and [1986Has] investigated one alloy in this
area (65 at.% Al+10 at.% Ag), reported it as single phase at 800°C, but interpreted it as a solid solution of
the TiAl3 phase.
Several papers [1991Dur, 1992Dur, 1993Nak, 1999Yam] compare L12 phases Ti(Al1-xXx)3 with different
elements X (Ag, Co, Cr, Cu, Fe, Mn, Ni, Pd, Zn) but similar compositions of X. Yamamoto et al.
[1999Yam] reported the homogeneity range of the L12 phase at 1177°C. Tian and Nemeto [2002Tia]
studied the precipitation of TiAl and TiAl2 from the L12 phase, homogenized at 1000°C, as well as that of
L12 from TiAl during annealing at lower temperatures (700-900°C). The present evaluation updates that of
[1990Luk].
Binary Systems
The three binary systems are accepted from the SGTE assessments in Landolt-Börnstein [2002LB]. For
Ag-Ti [2002Li] and Al-Ti [2003Sch] the MSIT Workplace provides assessments with nearly equivalent
contents. For Al-Ti the [2003Sch] evaluation states, that there is still some uncertainty, especially on the
area between TiAl and TiAl3.
The Ag-Ti system used by [1957Koe] assumed a much higher temperature of peritectic formation of the
Ti2Ag phase (1280°C) than [2002LB] (940°C).
All three [2002LB] diagrams are based on thermodynamic calculations, two of them published before:
Ag-Al [1995Lim], Al-Ti [1998Sau].
Solid Phases
A single ternary phase, , of the AuCu3 (L12) type was found near TiAl3. Like TiAl3, TiAl2, Ti5Al11, TiAl
and Ti3Al it is an ordered form of a close packed crystal structure [1991Dur, 1992Dur]. Some more binary
Al-Ti phases between TiAl and TiAl3 were not considered as stable phases in the accepted binary Al-Ti
system. All solid phases regarded to be stable in the Landolt-Börnstein evaluations are summarized in
Table 1.
Invariant Equilibria
A tentative reaction scheme was given by [1957Koe]. Due to the discrepancies between the binary systems
used by [1957Koe] and those accepted here, it needs modification. Using the approximate thermodynamic
description given below in section “Thermodynamics” a tentative reaction scheme above 800°C can be
calculated. Figure 1 shows the result. The temperatures and phase compositions of the ternary invariant
reactions must be taken as tentative only, therefore no table of invariant reactions is given. Below 800°C
the system is nearly degenerate and the reaction scheme is equal to the binary Ag-Al system with either the
phase or TiAl3 being in equilibrium with the Ag-Al phases, but not taking part in the reactions.
17
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Ti
After the calculation the Ag solubility in the (Ti)(r) phase decreases very rapidly above 1000°C and thus
there appears twice a four phase reaction between liquid, (Ti)(r), (Ti)(h) and Ti3Al (at 1280 and 1033°C).
This may be an artefact, although the three phase field liquid+(Ti)(h)+Ti3Al between these two
temperatures is supported by the 1100°C isothermal section reported by [1957Koe].
Isothermal Sections
The sections at 1100, 1000 and 800°C, (Fig. 2, Fig. 3 and Fig. 4), are drawn from thermodynamic
calculations using the description given in the next section. The homogeneity range of the phase as well
as the (Ti)(r)+(Ti)(h)+liquid equilibrium at 1000°C are modified to fit to the reported measured points of
[1957Koe, 1986Has, 1990Mab]. The sections differ from those of [1957Koe] due to the differences in the
accepted binary systems and due to the consideration of the phase. In Köster’s diagrams Ti2Ag appears
as stable above 1100°C and all phases between Ti3Al and TiAl were not yet known. The 800°C section of
[1983Has] differs from that given by [1957Koe] for the same temperature mainly by the equilibria
containing the Ag-Ti phases TiAg and Ti2Ag. The calculation strongly supports the equilibria given by
[1983Has]. The Ti solubility measurements in liquid and solid Ag reported by [1983Has] gave significantly
lower values than compatible with the Ag-Ti system of [2002LB]. Also [1983Has] did not consider the
TiAl2 phase between TiAl and TiAl3 and they did not distinguish from TiAl3. The Ag solubilities in Ti3Al,
TiAl and TiAl3 are accepted from [1957Koe].
Thermodynamics
The thermodynamic data sets as used in [2002LB] allow approximate calculation of the ternary system.
Without the introduction of ternary parameters, however, the homogeneity ranges of the (Ti)(h) and (Ti)(r))
solid solutions in this calculation disagree significantly with [1957Koe] and [1986Has]. For phases with
only small ternary solubilities the calculated equilibria agree fairly well with those reported by [1957Koe]
and [1986Has].
Using the thermodynamic descriptions of the binary systems [2002LB] with additional ternary terms of
+120000 xAgxAlxTi J·mol-1 for Gbcc and (+80000 12T)xAgxAlxTi J·mol-1 for Ghcp the ternary system can be
approximately calculated. The ternary phase can be roughly approximated by a stoichiometric phase
Ti0.27Ag0.12Al0.61 with the Gibbs energy of formation G -0.27-GhcpTi-0.12Gfcc
Ag-0.61
GfccAl= 36500+7T J·mol-1.
References
[1957Koe] Köster, W., Sampaio, A., “The Ternary System Titanium-Silver-Aluminium” (in German),
Z. Metallkd., 48, 331-334 (1957) (Equi. Diagram, Experimental, #, *, 12)
[1962Poe] Pötzschke, M., Schubert, K., “On the Constitution of some T4-B3 Systems or Quasi-T4-B3
Systems” (in German), Z. Metallkd., 53, 548-561 (1962) (Crys. Structure, Experimental, 44)
[1965Ram] Raman, A., Schubert, K., “On the Constitution of some Alloy Series Related to TiAl3 II” (in
German), Z. Metallkd., 56, 44-52 (1965) (Crys. Structure, Equi. Diagram, Experimental, 13)
[1965Sch] Schubert, K., “On the Constitution of the Systems Titanium-Copper and Titanium-Silver”
(in German), Z. Metallkd., 56, 197-199 (1965) (Crys. Structure, Experimental, 14)
[1983Has] Hashimoto, K., Doi, H., Tsujimoto, T., “Experimental Study on Phase Diagrams of the
Ternary Ti-Al-Ag System”, (in Japanese), J. Jpn. Inst. Met., 47, 1036-1041 (1983), English
translation published in: Trans. Jpn. Inst. Met., 27, 94-101 (1986) (Equi. Diagram,
Experimental, #, 13)
[1986Has] Hashimoto, K., Doi, H., Tsujimoto, T., “Experimental Study on the Phase Diagram of the
Ternary Ti-Al-Ag System”, Trans. Jpn. Inst. Met., 27(2), 94-101 (1986) (Equi. Diagram,
Experimental, 13)
[1990Luk] Lukas H.L., “Silver-Aluminium-Titanium”, MSIT Ternary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
18
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Ti
Stuttgart; Document ID: 10.21188.1.20 (1990) (Crys. Structure, Equi. Diagram,
Assessment, 7)
[1990Mab] Mabuchi, H., Hirukawa, K., Katayama, K., Tsuda, H., Nakayama, Y., “Formation of
Ternary L12 Compounds in TiAl3-Base Alloys Containing Ag”, Scr. Metall., 24, 1553-1558
(1990) (Equi. Diagram, Experimental, #, 25)
[1990Sch] Schuster, J.C., Ipser, H., “Phases and Phase Relations in the Partial System TiAl3-TiAl”,
Z. Metallkd., 81(6), 389-396 (1990) (Crys. Structure, Equi. Diagram, Experimental,
Review, 33)
[1991Dur] Durlu, N., Inal, O.T., Yost, F.G., “L12-Type Ternary Titanium Aluminides of the
Composition Ti25X8Al67, TiA3-Based or TiAl2-Based?”, Scr. Metall., 25, 2475-2479
(1990) (Theory, Crys. Structure, 30)
[1992Dur] Durlu, N., Inal, O.T., “L12-Type Ternary Titanium Aluminides as Electron Concentration
Phases”, J. Mater. Sci., 27, 3225-3230 (1992) (Theory, Crys. Structure, 41)
[1993Nak] Nakayama Y., Mabuchi, H., “Formation of Ternary L12 Compounds in TiAl3-Base Alloys”,
Intermetallics, 1, 41-48 (1993) (Equi. Diagram, Experimental, 40)
[1995Lim] Lim, S.S., Rossiter, P.L., Tibballs, J.E., “Assessment of the Al-Ag Binary Phase Diagram”,
Calphad, 19(2), 131-141 (1995) (Equi. Diagram, Thermodyn., Calculation, 27)
[1998Sau] Sauter, N., “System Al-Ti” in “COST 507, Thermochemical Database for Light Metal
Alloys”, Vol. 2, I. Ansara, A.T. Dinsdale, M.H. Rand (Eds.), Office for Official Publications
of the European Communities, Luxembourg, 89-94 (1998) (Assessment, Equi. Diagram,
Thermodyn., Calculation, 27)
[1999Yam] Yamamoto, Y., Hashimoto, K., Kimura, T., Nobuki, M., Kohno, N., “L12 Single Phase
Region in Al-Ti Base Ternary and Quaternary Systems at 1450 K” (in Japanese), J. Jpn.
Inst. Met. 63(10), 1317-1326 (1999) (Equi. Diagram, Experimental, 15)
[2001Bra] Braun, J., Ellner, M., “Phase Equilibria Investigations on the Aluminium-Rich Part of the
Binary System Ti-Al”, Metall. Mater. Trans. A, 32A, 1037-1048 (2001) (Crys. Structure,
Equi. Diagram, Experimental, #, *, 34)
[2002Tia] Tian, W.H., Nemoto, M., “Precipitation Behavior in Ag-Modified L12-Al3Ti and
L10-TiAl(Ag)”, Mater. Sci. Eng. A., 329-331, 653-660 (2002) (Crys. Structure, Equi.
Diagram, Experimental, 29)
[2002LB] Landolt-Börnstein, Numerical Data and Functional Relationship in Science and
Technology, New Series, Ed. in Chief: W. Martienssen, Group IV: Physical Chemistry, Vol.
19, Thermodynamic Properties of Inorganic Materials compiled by SGTE, Subvol. B,
Binary Systems: Phase Diagrams, Phase Transition Data, Integral and Partial Quantities of
Alloys. Part 1. Elements and Binary System from Ag-Al to Au-Tl. Ed. Lehrstuhl f.
Werkstoffchemie, RWTH Aachen; Authors: Scientific Group Thermodata Europe (SGTE)
Springer Verlag, Berlin, Heidelberg, pp. 33-37 Ag-Al, pp. 92-94 Ag-Ti, pp. 205-209 Al-Ti
(2002)
[2002Li] Li, C., Lebrun, N., Dobatkina, T., Kuznetsov, V., “Ag-Ti (Silver-Titanium)”, MSIT Binary
Evaluation Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science
International Services GmbH, Stuttgart; Document ID: 20.26006.1.20, (2002) (Equi.
Diagram, Assessment, 5)
[2003Sch] Schmid-Fetzer, R., “Al-Ti (Aluminium-Titanium)”, MSIT Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart, to be published, (2002) (Equi. Diagram, Assessment, 86)
19
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Ti
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Ti)(h)
1715-882
cI2
Im3m
W
a = 330.65 pure element, 900°C
[Mas2]
(Ti)(r)
< 1500
hP2
P63/mmc
Mg
a = 295.06
c = 468.35
pure element, 25°C
[Mas2]
(Ag)
< 962
cF4
Fm3m
Cu
a = 408.57 pure element, 25°C
[Mas2]
(Al)
< 661
cF4
Fm3m
Cu
a = 404.96 pure element, 25°C
[Mas2]
Ti2Ag
< 940
tI6
I4/mmm
MoSi2
a = 295
c = 1180
[1965Sch]
TiAg
< 1020
tP4
P4/nmmTiCu
a = 290
c = 814
[1965Sch]
Ti3Al
< 1190
hP8
P63/mmc
Ni3Sn
a = 577.5
c = 463.8
[2001Bra]
TiAl
< 1444
tP4
P4/mmm
CuAu
a = 399.8
c = 407.6
[2001Bra]
TiAl2< 1181
tI24
I41/amdHfGa2
a = 397.6
c = 2497
[1962Poe, 1990Sch]
Ti5Al111379-996
tI16
I4/mmm
ZrAl3
a = 391.7
c = 1652.4
[1965Ram, 1990Sch]
TiAl3< 1373
tI8
I4/mmm
TiAl3
a = 384
c = 857.9
[1965Ram, 1990Sch]
Ag3Al(h)
780-610
cI2
Im3m
W
a = 330.2 700°C [V-C2]
Ag3Al(r)
< 448
cP20
P4132
Mn
a = 693.4 [V-C2]
Ag2Al
< 727
hP2
P63/mmc
Mg
a = 288.5
c = 458.2
[V-C2]
* , Ti(Al1-xAgx)3 cP4
Pm3m
AuCu3
a = 399.0 to 400.4 [1990Mab]
20
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Ti
L+
TiA
l+τ
Fig
. 1:
Ag-A
l-T
i. T
enta
tive
reac
tion s
chem
e
Ag-T
iA
l-T
iA
g-A
l-T
i
(Ti)
(h)
(Ti)
(r)+
Ti 2
Ag
855
e 6
TiA
g+
(Ti)
(h)
Ti 2
Ag
940
p5
l(A
g)
+ T
iAg
960
e 5
l +
(T
i)(h
) T
iAg
10
20
p4
L+
(Ti)
(h)
(Ti)
(r)+
TiA
g9
75
U4
(Ti)
(h)+
Ti 3
Al
L+
(Ti)
(r)
1033
U3
L +
TiA
l +
Ti 5
Al 11
τ1220
P2
Ti 5
Al 11
TiA
l 3+
TiA
l 2,
τ996
D2
Ti 5
Al 11
TiA
l+T
iAl 2
,τ
1181
D1
L +
Ti 5
Al 11
TiA
l 3 +
τ1202
U2
L+
(Ti)
(r)
TiA
l+T
i 3A
l1271
U1
L+
Ti 3
Al
(A
g)+
TiA
l849
U8
TiA
g+
(Ti)
(h)
(Ti)
(r)+
Ti 2
Ag
902
U7
(Ti)
(r)+
(Ag)
TiA
g+
Ti 3
Al
832
U9
L+
(Ti)
(r)
(Ag)+
Ti 3
Al
948
U6
L+
TiA
g(T
i)(r
)+(A
g)
953
U5
L +
TiA
l (A
g)
+ τ
778
U10
L+
Ti 5
Al 11+
τ
(Ti)
(h)+
(Ti)
(r)+
Ti 3
Al
L+
(Ti)
(h)+
(Ti)
(r)
Ti 3
Al
12
80
P1
L+
(Ti)
(r)+
Ti 3
Al
TiA
g+
(Ti)
(h)+
(Ti)
(r)
L+
(Ti)
(h)+
(Ti)
(r)
L+
TiA
g+
(Ti)
(r)
Ti 5
Al 11 T
iAl 3
+τ
TiA
l+T
iAl 2
+τ
TiA
l 3+
TiA
l 2+
τ
Ti 3
Al+
(Ag)+
TiA
l
L+
(Ag)+
TiA
l
(Ag
)+T
iAg
+T
i 3A
l
L +
(T
i)(h
) +
Ti 3
Al
L+
TiA
l+T
i 3A
l
TiA
l+τ+
Ti 5
Al 11
Ti 5
Al 11+
TiA
l 2+
τ
L+
(Ti)
(r)+
(Ag
)
L+
(Ti)
(r)+
Ti 3
Al
(Ti)
(r)+
TiA
g+
Ti 3
Al
L+
TiA
l 3+
τT
iAl+
(Ag)+
τ
L+
(Ag)+
Ti 3
Al
(Ti)
(r)+
(Ag)+
TiA
g
TiA
g+
Ti 2
Ag+
(Ti)
(r)
L+
(Ag)+
τ
l +
(T
i)(h
) (
Ti)
(r)
1502
p1
Ti 5
Al 11
TiA
l 3+
TiA
l 2
996
e 4
(Ti)
(r)
TiA
l+T
i 3A
l
1126
e 3
Ti 5
Al 11
TiA
l+T
iAl 2
1181
e 2
lT
iAl 3
+ T
i 5A
l 11
1273
e 1
l +
TiA
l T
i 5A
l 11
1279
p3
l +
(T
i)(r
) T
iAl
1444
p2
21
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Ti
20
40
60
80
20 40 60 80
20
40
60
80
Ti Ag
Al Data / Grid: at.%
Axes: at.%
TiAl3
Ti5Al11
TiAl2
TiAl
Ti3Al
(Ti)(r)
(Ti)(h)
L
(Ti)(h)+L
Ti3Al+L
τ+L
Ti3Al+TiAl+L
τ
TiA+L
TiAl3+L
20
40
60
80
20 40 60 80
20
40
60
80
Ti Ag
Al Data / Grid: at.%
Axes: at.%
L
TiAl3
Ti5Al11
TiAl2
TiAl
Ti3Al
(Ti)(r)
(Ti)(h)
TiAg
τ+L
TiAl+Ti3Al+L
(Ti)(h)+L
τ
(Ti)(r)+L
(Ti)(r)+Ti3Al+L
Ti3Al+L
TiAl+L
TiAl3+L
Fig. 2: Ag-Al-Ti.
Isothermal section at
1100°C
Fig. 3: Ag-Al-Ti.
Isothermal section at
1000°C
22
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Al–Ti
20
40
60
80
20 40 60 80
20
40
60
80
Ti Ag
Al Data / Grid: at.%
Axes: at.%
L
TiAl3
TiAl2
TiAl
Ti3Al
(Ti)(r)
Ti2Ag TiAg
(Ag)Ti3Al+TiAg+(Ag)
Ti3Al+TiAl+(Ag)
TiAl+τ+L
Ti3Al+(Ag)
TiAl+L
τ
L+τ
TiAl3+L
TiAl+(Ag)
(Ti)(r)+Ti3Al+TiAg(Ti)(r)+TiAg
(Ti)(r)+Ti2Ag
Fig. 4: Ag-Al-Ti.
Isothermal section at
800°C
23
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Cu–Mg
Silver – Copper – Magnesium
Ernst-Theo Henig
Literature Data
[1943Gue] investigated three ternary alloys to determine various ranges of homo- or heterogeneity, the
extension of the inter-mediate binary phases and any possible pseudobinary sections in the ternary system
(clear cross method). The alloys were annealed at 400°C and X-ray analyzed at room temperature after slow
cooling. AgMg3 - Cu2Mg and (Ag) - Cu2Mg are found to be quasibinary at room temperature.
[1979She] and [1980She] reported on metallographic, X-ray and “micro-X-ray spectral analysis” as well as
DTA measurements in the partial system Mg-Mg2Cu-AgMg, stating that AgMg-Mg2 is quasibinary
[1979She].
The statements of [1943Gue] and of [1979She, 1980She] contradict one another; due to the higher number
of alloys examined, the more recent results of [1979She, 1980She] are accepted here.
The present evaluation was published in the MSIT Evaluation Program earlier and reflects today’s state of
knowledge.
Binary Systems
The two binary systems Cu-Mg [1984Nay1] and Ag-Mg [1984Nay2] and the quasibinary AgMg-Mg2Cu
[1979She] are used as boundary systems (Fig. 1).
Solid Phases
No ternary phases have been found. The known binary phases are listed in Table 1. In the intermetallic phase
AgMg3 a considerable amount of Ag can be substituted by Cu ( 23 mass% Cu).
Pseudobinary Systems
The section AgMg-Mg2Cu is established as quasibinary using DTA, metallography and X-ray analysis
[1979She]. Unfortunately the pseudobinary eutectic is not given explicitly, only the composition of the
liquid e1 (30% Ag, 35.7% Cu and 34.3% Mg) at 530°C. The section is thus constructed and displayed in
Fig. 1, using the information given in [1979She, 1980She]. Several mistakes in the liquidus surface given
in [1980She] must be corrected, e.g. 550 and 540°C isotherms and the eutectic point 530°C all meet at one
point; also the slope of the melting groove e1-P is reversed.
Invariant Equilibria
Three ternary invariant equilibria are reported (Table 2), these being: maximum decomposition of liquid at
530°C, peritectic formation of (Ag,Cu)Mg3 at 505°C and eutectic decomposition of liquid at 460°C. Only
the composition of the liquid phases are given explicitly in [1980She] the composition of the solid phases
are constructed from the three isopleths and the 400°C isothermal section of [1979She, 1980She]. The
reaction scheme (Fig. 2) and a projection of the invariant equilibrium phases and the connecting lines of
double saturation (Fig. 3) are presented.
Liquidus Surface
Figure 4 shows the isotherms of the liquidus surface and the melting grooves separating four areas of
primary crystallization; ', , and (refer to the section on “Pseudobinary Systems” to see the corrections
needed in the liquidus surface given in [1980She]).
24
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Cu–Mg
Isothermal Sections
Figure 5 displays the isothermal section at 400°C after [1980She] with a minor correction to meet the
boundary system Ag-Mg. [1980She] reports that with decreasing temperature (300, 200°C), there is no
change in the solubility for ', and , but a decrease is seen in the Ag and Cu solubilities in Mg.
Temperature-Composition Sections
Two isopleths at Ag = 20 mass% = const. and Cu = 10 mass% are given as Figs. 6 and 7; in addition
[1980She] reports an isopleth at 15 mass% Ag.
Miscellaneous
[1982Miz] reports information about amorphous alloys of the type (Ag0.5Cu0.5)1-xMgx with 0 < x < 0.8
which are used to test the extended Ziman theory experimentally. [1984Miz, 1986Mat] measured electrical
resistivity, low-temperature specific heats and thermoelectric power of Ag-Cu-Mg metallic glasses.
Information about dendritic segregation of silver-rich alloys Ag-7.5Cu-0.2Mg (at.%) is reported in
[1981Duk].
References
[1943Gue] Gürtler, W., Rassmann, G., “The Use of X-Ray Find Structure Pattents to Identified Phase
Equilibria ternary System of Crystalline State”, Metallwirtschaft, 22, 34-42 (1943)
(Experimental, Equi. Diagram, 30)
[1979She] Shevakin, Y.F., Kolesnichenko, V.E., Karonik, V.V., Tsypin M.L., Meshkov, A.V., “Phase
Composition of Mg-Ag-Cu Alloys in the Mg-rich Range”, Izv. Akad. Nauk SSSR, Met., 5,
223-226 (1979) (Experimental, Equi. Diagram, #, *, 1)
[1980She] Shevakin, Y.F., Karonik, V.V., Kolesnichenko, V.E., Meshkov A.V., Tsypin, M.I.,
“Reactions of Magnesium with Silver and Copper”, Izv. Akad. Nauk SSSR, Met., 4, 237-239
(1980) (Experimental, Equi. Diagram, #, *, 1)
[1981Duk] Dukiet-Zawadzka, B., Pawlowski, A., Ciach, R., Tasior-Grabianowska K., Wolczynski, W.,
“Dendritic Segregation of AgCu Alloys with Additions of Ti, Al, Mg and Ni”, Arch. Hutn.,
26, 429-448 (1981) (Thermodyn., 20)
[1982Miz] Mizutani, U., Yoshida, T., “Experimental Test of the Extended Ziman Theory, Using Free
Electron-Like Ag-Cu Based Amorphous Alloys”, J. Phys. F: Met. Phys., 12, 2331-2348
(1982) (Experimental, 23)
[1984Miz] Mizutani, U., Yoshino, K., “Formation and Low-Temperature Electronic-Properties of
Liquid-Quenched Ag-Cu-Mg, Ag-Cu-Si, Ag-Cu-Sn and Ag-Cu-Sb Metallic Glasses”, J.
Phys. F: Met. Phys., 14(5), 1179-1192 (1984) (Electr. Prop., Experimental, 17)
[1984Nay1] Nayeb-Hashemi, A.A., Clark, J.B., “The Cu-Mg System”, Bull. Alloy Phase Diagrams, 5,
36-43 (1984) (Assessment, Review, Equi. Diagram, 81)
[1984Nay2] Nayeb-Hashemi, A.A., Clark, J.B., “The Ag-Mg System”, Bull. Alloy Phase Diagrams, 5,
348-358 (1984) (Assessment, Review, Equi. Diagram, 81)
[1986Mat] Matsuda, T., Mizutani, U., Sato, H., “Thermoelectric Power of Mg-based Simple Metallic
Glasses”, J. Phys. F: Met. Phys., 16, 1005-1014 (1986) (Electr. Prop., Experimental, 37)
25
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Cu–Mg
Table 1: Crystallographic Data of Solid Phases
Table 2: Invariant Equilibria
Composition of the liquidus P, E and e1(max) given in [1979She] and [1980She]; other 4-phase equilibria phases
constructed from isopleths; values in < > for , of P and ', of e1(max) are estimated.
Phase /
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments
(Ag) cF4
Fm3m
Cu
a = 408.61 pure Ag [P]
(Cu) cF4
Fm3m
Cu
a = 361.49 pure Cu [P]
, (Mg) hP2
P63/mmc
Mg
a = 320.94
c = 521.05
pure Mg, 25°C [P]
Ag3Mg
< 392
cP4
Pm3m
AuCu3
a = 411.2 25.0 at.% Mg, annealing time 2 d,
[1984Nay2]
', AgMg cP2
Pm3m
CsCl
a = 333.00
a = 329.80
32.26 at.% Mg,
66.71 at.% Mg,
slowly cooled
, AgMg3 hP8
P63/mmc
AsNa3
a = 488.42
c = 778.68
25.17 at.% Mg, quenched from 440°C
, Mg2Cu oF48
Fddd
Mg2Cu
a = 905.0
b = 1824.7
c = 528.3
[1984Nay1]
MgCu2 cF24
Fd3m
MgCu2
a = 699 to 708.2 [1984Nay1]
Reaction T [°C] Type Phase Composition (at.%)
Ag Cu Mg
L + ' + 505 P L
'
9.8
36.5
<2.5
<14.0
15.5
6.8
30.0
15.2
74.7
56.7
67.5>
70.8>
L + + 460 E L 7.5
14.1
1.4
0.4
10.1
13.0
29.8
0.1
82.4
72.9
68.8
99.5
L ' + 530 e1(max) L
'
12.4
<37.3
< 4.0
25.0
8.3
30.6
62.7
54.5>
65.3>
26
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Cu–Mg
10 20 30 40400
500
600
700
800
Mg 66.67Cu 33.33Ag 0.00
Mg 50.00Cu 0.00Ag 50.00Ag, at.%
Tem
pera
ture
, °C
e1
820°C
568°C
530
L
β'γ
Fig. 1: Ag-Cu-Mg.
The pseudobinary
system Mg2Cu-
AgMg
60
70
80
90
10 20 30 40
10
20
30
40
Mg Mg 50.00Cu 50.00Ag 0.00
Mg 50.00Cu 0.00Ag 50.00 Data / Grid: at.%
Axes: at.%
β'
γ
E
P
e1
ε
e3
p
α
e2
Fig. 3: Ag-Cu-Mg.
Polythermal
projection of
four-phase equilibria
and edges of double
saturation
27
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Cu–Mg
60
70
80
90
10 20 30 40
10
20
30
40
Mg Mg 50.00Cu 50.00Ag 0.00
Mg 50.00Cu 0.00Ag 50.00 Data / Grid: at.%
Axes: at.%
800
750
700
650
550
530
550
475500
500
550
600
E, 460°C
β'
ε
γα
e2(485°C)
e1(530°C)
e3(472°C)
p(492°C)
600
P,505°C
Fig. 4: Ag-Cu-Mg.
Liquidus surface
60
70
80
90
10 20 30 40
10
20
30
40
Mg Mg 50.00Cu 50.00Ag 0.00
Mg 50.00Cu 0.00Ag 50.00 Data / Grid: at.%
Axes: at.%
ε
β'
γα+γ+ε
α
β'+γ+ε
Fig. 5: Ag-Cu-Mg.
Isothermal section
with some tie lines at
400°C
28
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Ag–Cu–Mg
10 20400
500
600
Mg 94.67Cu 0.00Ag 5.33
Mg 64.05Cu 28.19Ag 7.76Cu, at.%
Tem
pera
ture
, °C L
L+α
L+α+ε
α+ε α+ε+γ
L+α+γ
L+γ
L+ε+γ
L+γ+β'
γ+ε ε +γ
+β
'
γ +
β '
460
505
530°C
472°C
Fig. 6: Ag-Cu-Mg.
Temperature -
composition cut at 20
mass% Ag
60 70 80 90400
500
600
700
800
Mg 54.85Cu 9.12Ag 36.03
Mg 95.92Cu 4.08Ag 0.00Mg, at.%
Tem
pera
ture
, °C L
L+β'
L+γ+β'
γ+β'
ε +
γ +
β ' ε+γ
ε
L+ε
α+εα+ε+γ
α+γ
L+α+γ
L+α
485°C
460
505530°C
Fig. 7: Ag-Cu-Mg.
Temperature -
composition cut at 10
mass% Cu
29
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–C
Aluminium – Boron – Carbon
Andriy Grytsiv and Peter Rogl
Literature Data
Due to the presence of carbon contaminant in aluminium borides the data on the constitution of the Al-B-C
ternary system and those of the binary Al-B system have to be reviewed carefully, which was done by
[1994Dus] to strictly differentiate between true aluminium borides and aluminium boron carbides.
High hardness in combination with high neutron absorption, high wear resistance and impact resistance
have triggered an early interest in high-strength and low-weight Al-B4C composite materials or cermets,
either in bulk form with a metal binder or by reinforcing an Al-base matrix with boron carbide particles or
with boron carbide-coated fibres. Understanding the phase equilibria proved of major importance in the
processing of Al-B4C composites particular in finding processing criteria at temperatures high enough to
promote wetting and low enough to control reactions and design microstructures.
Despite much effort was spent on the synthesis and crystallographic characterization of the various ternary
aluminum boron carbide compounds [1964Mat, 1965Eco, 1965Mat, 1966Gie, 1966Lip, 1969Per, 1969Wil,
1970Nei, 1977Mat, 1987Sar, 1980Ino, 1990Oka, 1992Via, 1994Kud, 1995Osc, 1996Hil1, 1996Hil2,
1997Mey], information on the equilibrium phase relations in the Al-B-C ternary system is scarce [1993Bau,
1997Via, 1998Rog]. These informations comprise early calculations of the phase equilibria disregarding the
boron-rich compounds or rather assuming the phases, AlB40C4 and Al2.1B51C8, to be part of the solid
solution range of “B4C” [1982Doe, 1993Kau]. Some confusion in the early experimental work on
aluminum borides arose from the fact that due to contamination either from high carbon level boron starting
material or from the use of graphite crucibles and substrates aluminum boron carbides were produced rather
than binary aluminum borides. This is particularly true for “AlB10” [1963Wil] - shown to be “AlB24C4” or
more precisely Al2.1B51C8 [1964Mat, 1967Wil, 1969Wil, 1969Per, 1990Oka] - and ( AlB12) [1960Koh],
later shown to be Al3B48C2 [1965Mat]. According to structural and DTA investigations [1996Hil1],
Al3B48C2 exists in a tetragonal high temperature modification, which on cooling below 650°C transforms
into a body-centered orthorhombic low temperature phase with a unique structure type. The mixture of two
orthorhombic phases with coherent boundary and commensurable lattice parameters (modifications A and
B), as claimed by [1965Mat, 1986Pes], thus simply explains by multiple twinning on cooling [1996Hil1].
An experimental study of the isothermal section at 1400°C by [1993Bau] confirmed the existence of four
ternary compounds Al2.1B51C8 [1964Mat, 1967Wil, 1969Wil, 1969Per], AlB40C4 [1966Gie, 1966Lip,
1970Nei], Al3B48C2 [1996Hil1] and Al3BC3 [1996Hil2]. The latter compound was first mentioned as
“Al4B1-3C4” [1964Mat] and later labelled as “Al8B4C7” [1980Ino] from a cursory investigation of its
crystal symmetry with X-ray single crystal photographs, although no details of the crystal structure were
derived. The relation to a wurtzite structure was discussed [1995Osc]. A structure determination is due to
[1996Hil2]. A fifth compound, Al3BC [1992Via, 1993Gon, 1997Mey, 2002Zhe], (earlier “Al4BC”
[1987Sar, 1989Hal, 1990Pyz]) was reported to exist below ~1000°C [1992Via], however, was shown in the
isothermal section at 1000°C [1997Via]. From a detailed analysis (XPD, LOM, SEM, EPMA) of the Al-rich
corner [1997Via] on about 30 specimens prepared from cold pressed and sintered powder compacts in the
temperature region from 627 to 1000°C, an isothermal section at 1000°C and a tentative liquidus projection
was derived assisted by a series of isothermal diffusion experiments by heating together in an alumina boat
an Al-B rod and an Al-C rod.
Phase equilibria at 900°C in the Al-C rich part of the ternary Al-B-C system were established [2002Zhe]
from XPD of about 45 ternary and binary alloys. Equilibrium conditions were not reached for boron-rich
samples. An attempt to obtain equilibrated samples from mixtures B4C+AlB2, B4C+Al and B4C+Al4C3
were also unsuccessful. Al3BC and Al4C3 phases form very easily and are observed in all samples even after
short time sintering in contrast to Al3BC3, which forms very slowly at 900°C. On the other hand Al3BC3
was always observed in arc melted samples containing 40-60 at.% Al and 10-30 at.% B.
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Experimental techniques for preparation concerned (a) melting of B4C in excess of Al for the synthesis of
AlB40C4 (at 1550°C, [1970Nei]), (b) melting of boron with excess of Al in a graphite crucible for synthesis
of Al3B48C2 (at 1400°C, [1964Mat]) (c) vapor deposition at 1400 to 1600°C for single crystals of Al3B48C2
[1967Bli] (d) hot pressing of B4C+Al in graphite dies for synthesis of Al2.1B51C8 (at 1800°C [1966Gie,
1966Lip]), (e) infiltration of B4C by liquid Al at 1100°C and anneal at 1000°C to obtain Al3BC [1987Sar],
(f) reaction sintering of Al+B+C powder compacts on alumina boats in sealed silica capsules 627 to 1000°C
for the synthesis of Al3BC and phase relations at 1000°C [1992Via, 1997Via] or at 1400°C for 10 h for the
production of the single crystals of Al3B48C2 [1994Kud] (g) melting of an Al8BC mixture in alumina under
argon for 160 h at 850°C and subsequent cooling at 150K/h to RT for production of black-bluish single
crystals of Al3BC [1997Mey] (h) melting of an Al40B2C3 mixture in alumina under argon at 1500°C and
subsequent cooling at 10K/h to 600°C for production of single crystals of Al3BC3 in the form of yellow,
transparent platelets [1996Hil2] and (i) Al-flux solvent method for a general production of single crystals
(see i.e. [1986Kis, 1990Oka, 1996Hil1]). Samples used for the isothermal section at 1400°C were prepared
from cold compacted powder mixtures of AlB2, B4C, B and/or C, which were reaction-sintered under Ar in
closed Knudsen-type graphite reactors at 1600°C for 1h prior to 48 h heat treatment at 1400°C [1993Bau].
Phase relations at 900°C were studied [2002Zhe] on elemental powder compacts sintered in alumina
crucibles (binary Al-B alloys) or in closed graphite crucibles (ternary alloys). The specimens were sealed
in evacuated quartz ampoules and were slowly heated for 10°/h to 720°C (slightly above the melting point
of aluminium) and kept at this temperature for 48h. After temperature was increased to 900°C at a rate of
20°/h, the tablets were sintered at this temperature for 1 week. Repeated repowderisation (under protective
cyclohexane) and sintering at 900°C were necessary to reach equilibrium conditions. Several studies dealt
with the kinetics of wetting of B4C surfaces by liquid aluminum; detailed discussions can be found in the
articles by [1979Pan] and [1989Hal]. Hot-pressing of B4.3C+Al powders at 1820°C, 45 MPa under Ar (5 to
20 mass% Al) revealed the formation of the ternary B4C- related Al-boron carbides (solution of Al in B4C,
and 2) although the products were all thought to belong to the B4C-based solid solution [2000Liu]. With
increasing Al-content (>5 mass% Al) the Al3BC3 phase evolved [2000Liu].
Thermodynamic calculations of the Al-B-C system have been attempted by [1982Doe, 1993Wen,
1993Kau], however, are not fully consistent with experimental observations. Reviews on the constitution
and on the crystal structures of the Al-B-C system have been presented by [1977Mat, 1990Luk, 1998Rog].
Binary Systems
The binary systems B-C and Al-C are consistent with the critical assessments of [1996Kas] and [2003Per],
respectively. In spite of numerous data available from literature on the constitution of the Al-B phase
diagram, contradictory results exist for the formation of aluminium diboride (Table 1). Fig. 1a shows the
various versions for the Al-rich part of the Al-B phase diagram. It should be noted, that recent experiments
[2002Zhe] confirmed the formation of AlB2 at 900°C, in contrast to data of [1997Via] suggesting peritectic
formation at 892 ± 5°C. In the present assessment we accept the temperature of 956 ± 5°C for the invariant
reaction L+AlB12 AlB2 as determined by [2000Hal]. The adopted Al-B phase diagram (Figs. 1b, 1c) is
based on the assessment of [1994Dus]. The composition of the peritectic liquid at 0.55 at.% B has been
confirmed by a recent thermodynamic assessment of [2001Fje]. AlB2 is still taken as a stoichiometric
compound in spite of the suggestions of [1964Mat, 1999Bur, 2002Bur] for Al-deficiency in terms of
Al0.9B2.
Although the assessment of [1994Dus] concluded a peritectic formation of AlB12, L+(B) AlB12 at 2050°C,
the thermodynamic calculation of [1993Wen] is based on congruently melting AlB12 (TM = 2150°C).
Solid Phases
The crystallographic information on all the binary and ternary phases pertinent to the Al-B-C system is
listed in Table 2. Some controversy exists in the crystallographic characterization of the modifications
reported for Al3B48C2. A single crystal study [1995Hil, 1996Hil1, 2000Mey] on an untwinned specimen
revealed a tetragonal high temperature form (closely related to the structure of I-tetragonal boron), which
on cooling undergoes a symmetry reduction resulting in microscopically twinned products that hitherto
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were indexed on the basis of two orthorhombic modifications, labeled A and B by [1965Mat]. The
transformation was earlier proposed to be at ca. 850°C [1960Koh, 1965Mat], whereas new results from
DTA recorded 650°C [1996Hil1]. The transition seems to be rather fast, as the low temperature
modification is present in samples furnace-cooled from 1400°C to room temperature [1993Bau].
A second point of controversy concerns the phases AlB40C4 and Al2.1B51C8 for which detailed
crystallographic descriptions are available, however, AlB40C4 actually being isotypic with binary B4C,
hitherto is not thoroughly established as a ternary phase independent from binary B4C. As the two
structurally closely related phases AlB40C4 and Al2.1B51C8 generally are found together, a high and low
temperature transition between them may be inferred [1993Bau]. Without further details the maximum solid
solubility of Al in boroncarbide (“B13C2”, at 1950°C) was reported to be 1 mass% Al (equivalent to 2 at.%
Al in B4C) [1978Ekb].
Experiments to establish a possible homogeneous range for Al3BC3 (earlier: “Al8B4C7” [1980Ino], or
“Al4B1-3C4” [1964Mat]), were carried out at 1830°C by [1980Ino] resulting in a rather stoichiometric
composition without variation of the lattice parameters. These findings were confirmed by [1993Bau,
1996Hil2]. Details of the crystal structure with linear C-B-C chains are given by [1996Hil2]. Lattice
parameters of Al3BC3 were measured at room temperature up to 7.5 GPa using a multi-anvil synchrotron
system with B4C anvils; for a high temperature pressure experiment the sample was placed in a graphite
ampoule [2000Sol]. Al3BC3 is free of structural transitions up to 1523°C within the pressure range 2.5 to
5.3 GPa [2000Sol]. A further ternary compound 5 was observed after infiltration by liquid Al at 1170°C
with post heat treatment for 100 h at 800 to 1000°C [1987Sar]. The hexagonal lattice was established by
TEM; the approximate composition “Al~4BC” resulted from EELS-data [1987Sar]. This phase has been
also confirmed by [1989Hal, 1990Pyz]. From a detailed investigation of this Al-rich boroncarbide by X-ray
powder diffraction, LOM and EPMA, [1992Via] suggested a formula of Al3BC rather than “Al4BC” and
attributed a hexagonal cell; additional weak lines in the X-ray intensity pattern of Al3BC prompted a larger
unit cell a = a0/ [1993Gon]. Although the authors of [1997Mey] recognized the larger cell, the crystal
structure of Al3BC was solved for the high symmetry subcell from single crystals isolated from a sample
directly reacted from the elements - however, from EPMA a composition Al2.5BC was derived (see also
Table 2). Al6B-octahedra and trigonal Al5C-bipyramids are the characteristic structural elements
[1997Mey].
The various data on the compositional ranges of the 4 and 5 phases are summarized in Fig. 2. Half filled
circles correspond to the accepted stoichiometries Al3BC and Al3BC3.
From the significant change of the unit cell volume of Al4C3 comparing binary and ternary alloys, a
solubility of boron is suggested [1996Bid, 2002Zhe, 2000Mey]. Solubility of boron in Al4C3 was
established to be 3.4 at.% at 900°C [2002Zhe] and an interesting behavior of lattice parameters was
observed. In spite of the increase of the “a” parameter and of the cell volume with boron content, the “c”
parameter decreases. That may be explained by a preferential distribution of boron and carbon atoms among
different crystallographic sites. A significant solubility of boron in Al4C3 was also reported by [2000Mey]
to be about 9.3 at.%, however, no details on the relevant temperature were given. Furthermore these authors
claim for Al4C3-xBx lattice parameters increasing with boron content. Lattice parameters of Al4C3 for
samples located in three phase regions (Al)+Al4C3+Al3BC, Al4C3+Al3BC3+Al3BC and
Al4C3+Al3BC3+(C) are very close, assuming that these three phase regions meet at the Al4C3 phase at a
maximal boron solubility of Al4(C0.92B0.08)3.
Insignificant solubility of carbon in AlB2 is reported by [2002Zhe] comparing lattice parameters in ternary
and binary samples; AlB2 with 0.5 at.% C, heat treated at 900°C, already contains the Al3BC phase.
Isothermal Sections
Phase equilibria for the 1400°C isothermal section are summarized in Fig. 3, revealing the existence of four
ternary compounds 1 to 4. A small field of liquid phase exists at 1400°C which is in equilibrium with
Al3B48C2, Al2.1B51C8 and with Al3BC3 [1993Bau]. Boron-poor equilibria agree with an earlier work by
[1980Ino] who reported on the two-phase equilibria Al4C3+Al3BC3 (Al7B4C8), Al3BC3 (Al7B4C8)+B4C
and Al3BC3 (Al7B4C8)+C. In Fig. 3 two-phase equilibria are shown to exist between the binary solid
3
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solution “B4C” and AlB40C and Al2.1B51C8. At 1400°C all ternary compounds seem to exist at their
stoichiometric compositions [1993Bau], whilst [1965Eco] claimed a homogeneity range for 1 at 1800°C
from “AlB48C8” to Al3B48C8. Binary AlB12 was never seen in combination with Al2.1B51C8 nor with
AlB40C4 [1993Bau].
The isothermal section at 1000°C, Fig. 4, was constructed on the basis of data from [1997Via]. Due to low
interaction kinetics in the boron- and carbon-rich part of the system at 1000°C, equilibria in this portions of
the diagram are preliminary. Moreover, ternary compounds 1 and 2 were not included in the 1000°C
section by [1997Via], 4 was listed as “Al8B4C7”, and no solubility of boron in Al4C3 was considered. For
consistency with the present knowledge on the Al-B-C system, the ternary compounds 1 and 2 were
introduced in Fig. 4 and the composition of 4 was changed to Al3BC3. The solubility of boron in Al4C3 at
1000°C was estimated to be about 4 at.%, extrapolating from data of [2002Zhe] at 900°C. Figure 5
represents the isothermal section at 900°C [2002Zhe] confirming the equilibrium AlB2+Al3BC, whereas
[1997Via] claimed this equilibrium to be only stable below 868 ± 4°C. Similar to 1000°C the equilibria at
900°C involving 1 and 2 are not well established due to low reactivity of the components.
Invariant Equilibria, Liquidus Surface
A tentative liquidus surface for the aluminum rich portion of the diagram (Fig. 6) was proposed by
[1997Via], presenting equilibria involving the 5 phase. The invariant equilibrium U5
(L+Al3B48C2 AlB2+Al3BC) was reported at 868 ± 4°C by [1997Via], but this temperature can not be
accepted in respect to the observed isothermal equilibrium AlB2+Al3BC at 900°C [2002Zhe] suggesting
such transformation above 900°C. Comparison of the reaction scheme and the isothermal section at 1000°C
(Fig. 4) with the isothermal section at 1400°C (Fig. 3) suggests a rather complicate picture of the phase
transformations in this regions mainly due to decomposition of 5.
Based on an earlier thermodynamic calculation by [1982Doe], a reaction scheme was derived [1990Luk],
which gives a tentative information of the solidification behavior in the Al-B-C ternary. The temperatures
of the invariant equilibria were estimated and the ternary compounds 1 to 3 were assumed to be part of
the solid solution arising from binary B4C; 5 was not included. A more recent thermodynamic modelling
of the Al-B-C phase diagram by [1993Wen] as part of the multi-component Al-B-C-N-Si-Ti system treated
the ternary compounds 1, 2, 3 as independent phases, however, the peritectoid formation of 4 (Al3BC3)
is in strict contradiction to the experimentally confirmed two-phase equilibrium 4+ 5 (Al3BC3+Al3BC)
[1997Via, 2002Zhe] as well as to the observed existence of 4+ 5 in as cast alloys [2002Zhe], thereby
strongly indicating direct formation of Al3BC3 from the liquid.
A closed ternary miscibility gap in the Al-rich liquid is suggested from thermodynamic calculations by
[1993Kau], however, hitherto without experimental confirmation [2002Zhe].
Figure 7 presents a reaction scheme for the major parts of the Al-B-C phase diagram. The reaction scheme
is essentially based (i) on the tentative liquidus projection for the Al-rich part as suggested by [1997Via],
(ii) on the experiments of [2002Zhe] concerning the solidification of the phases 4, 5 and (iii) on the
thermodynamic calculation of [1993Wen] for the B-rich part, however, accepting peritectic formation of
AlB12.
Thermodynamics
Enthalpies of formation and heat capacity measurements from a Calvet type automatic microcalorimeter in
the temperature range 310-1200 K were reported by [1987Kis] and are listed as follows:
Al3B48C2 : H0(T) - H0(298) = 0.7945 10-3T2+0.5182T - 225.1374 (in J g-1) and
Cp(T) = 0.1589 10-2T+0.5182 (J g-1K-1)
Al2.1B51C8 : H0(T) - H0(298) = 0.7226 10-3T2+0.5411T-225.5702 (in J g-1 for AlB24C4) and
Cp(T) = 0.1589 10-2T+0.5182 (J g-1 K-1 for AlB24C4).
Thermodynamic calculations of the Al-B-C system are due to [1982Doe, 1993Wen, 1993Kau], however,
are not fully consistent with experimental observations. For detailed discussion, see section Invariant
Equilibria.
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Al–B–C
Notes on Materials Properties and Applications
Mechanical properties of Al-B4C cermets and boron/carbon fiber-aluminium composites have been
investigated by various groups [1972Bak, 1973Her, 1975Mun, 1984Via, 1985Che, 1985Hal, 1985Kov,
1985Pyz, 1985Sar, 1986Che, 1986Dub,1990Ram,1996Pyz, 2002Ars]; the effect of reaction on the tensile
behavior of infiltrated composites was reported by [2002Kou2] and size dependent strengthening in particle
reinforced Al by [2002Kou1]; reaction products were studied by [2001Lee]. An increase of surface hardness
of about 25 to 40 % can be achieved by impulse laser radiation on B4C/Al cermets [1988Kov].
Wetting of B4C by Al has been studied by many research teams with rather contradicting results, until the
temperature and time dependent occurrence of chemical reactions/compound formation was analyzed in
detail (for discussion see i.e. [1979Kis, 1979Pan, 1989Hal, 2000Kha]). The kinetics of wetting by liquid
aluminium of flat, sintered boron carbide specimens with residual porosity less than 3 % were investigated
by [1979Pan]. The speed of spreading of liquid aluminium at 1100° to 1200°C was measured to be 0.1-0.8
mm s-1, in accordance with r2 = f(t), where r equals the radius of the contact circle. The angle of contact was
first ~92°, however, in 3 to 5 min decreased to 28°. The slow spreading was determined by the formation
of new aluminum boron carbide phases in the contact zone with a microhardness of ca. 13 GPa. The driving
force = (cos 0-cos ) ( = surface tension of the melt, 0 = contact angle of the melt, =contact angle
at time (t)) decreased sharply becoming zero in 4 to 5 min [1979Pan]. The contact angle of molten Al on
B4C as a function of processing time for various isotherms at 5 10-3 to 10-4 Pa was also given by [1989Hal]
based on sessile drops cooled to room temperature.
Mechanical properties, electrical and thermal conductivity as well as their temperature dependencies were
reported on the Knoop and Vickers microhardness for Al-flux grown (temperature region 1750 to 800°C)
‘‘amber’’ single crystals Al3B48C2 and for ‘‘black’’ crystals ( AlB12, AlB12 and AlB2.1B51C8)
[1986Kis]. These studies were also performed on hot pressed specimens of various compositions
x(AlB12)+(1-x)B4C and Al3B48C3 in the temperature range 24 to 827°C [1991Kha1, 1991Kha3]. For
Al3BC3 (”Al8B4C7”), Al3B48C3, Al2.1B51C8 [1991Kha2] also examined these properties as a function of
porosity and quantity of Fe-impurity. These data are summarized in Table 3 including information on
flux-grown crystals Al3B48C2 and Al2.1B51C8 [1990Oka]. Both types of crystals were said to be p-type
semiconductors [1986Kis].
In a ring test the strength of a powder compact of B13C2 +1 mass% Al, sintered at 1950°C, was found to be
0.50(7) GNm-2 [1978Ekb]. [1991Kha2] reported on the kinetics of thermal densification of hot pressed
powders of B4C, AlB12, Al3B48C2 and Al3BC3. Kinetics of dissolution in HCl, HNO3 and HCl-HNO3 was
studied by [1998Kha] as well as the resistance of Al-boron carbides to alkali and hydrogen peroxide.
[1989Hal] studied the densification kinetics of Al+B4C cermets in the range from 800 to 1400°C in
pressureless sintering as well as after applying hot isostatic pressure. The kinetic of metal depletion in post
heated dense cermets B4C/Al at temperatures between 600°C and 1000°C was investigated by [1990Pyz].
Chemical stability against various boiling acids, oxidation resistance, IR and EPR spectra of Al-borides and
Al-boron carbides (Al3B48C2, Al2.1B51C8) was studied by [1991Pri]. The spectra were taken at 77K and
300K and for different crystal orientations relative to the magnetic field. Absorption edge and IR-active
phonons in Al3B48C2 were reported by [1987Hau, 2000Wer] and IR spectra of boron carbide containing up
to 1.5 at.% Al were determined between of 8 to 500 mm-1 wave numbers and for temperatures between 70
to 450 K [1997Sch]. These data seem to suggest the incorporation of Al-atoms into binary boron-carbide in
form of pairs substituting the B-B-C or C-B-C chains [1997Sch]. Characteristic IR absorption bands for
finely dispersed powders of Al-borides and Al-boron carbides were listed by [1998Kha].
The Seebeck-coefficients were reported to linearly increase from 260 VK-1 for binary ”B4C” to 450
VK-1 for 1.4 at.% Al dissolved, revealing p type behavior [1997Sch]. Seebeck-coefficients, thermal and
electric conductivities were further reported by [2000Liu] for B4.3C-based samples containing 0.5, 10, 15,
20 mass% Al, highlighting the Z-value at RT of 1.04 10-6 K-1 for the 5 mass% Al sample. IR and Raman
spectroscopy on Al3BC3 (at RT) confirm the linear (CBC)5- unit as an isoelectronic CO2-analogon
[1996Hil2, 2000Mey].
On heating in air, Al3BC3 (earlier reported as Al8B4C7), Al3B48C3 and Al2.1B51C8 show low oxidation at
500°C (increase of mass ~4 mgh-1); intensive oxidation, with a mass increase of ~40 mgh-1) starts at
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1280°C for Al2.1B51C8 and at 1370°C for Al3B48C2 [1991Pri, 1989Kha, 1991Kha4]. Oxidation in air of
single crystals Al2.1B51C8 and Al3B48C2 started at about 760°C and 710°C, respectively [1990Oka]. The
reaction products were 9Al2O3 2B2O3 for Al2.1B51C8 crystals and B2O3 for AlB40C4 specimens
[1994Kud]. Whereas Al3BC3 was said to be unstable in acids [1991Kha4], more detailed experiments
[1996Hil2] proved stability at room temperature against bases and dilute acids, except for HNO3 and HF.
Al3BC3 was furthermore said to be stable in air up to 600°C [1991Kha4,1996Hil2]. Al3BC is quickly
attacked by dilute HCl [1997Mey].
Thermophysical properties of sintered bodies of Al3BC3 have been derived by [2000Wan]. These are linear
thermal expansion in the range of 25 to 1200°C, specific heat and thermal diffusivity via laser flash
technique, Youngs modulus of 136.6 GPa, Vickers hardness of 12.1 GPa at a load of 196 N and
thermogravimetric recording of growth of an oxidized layer on heating in air up to 1500°C.
Fitting a Birch-Murnaghan equation of state to the pressure dependency of the lattice parameters of Al3BC3
up to 7.5 GPa, the isothermal bulk modulus was B0=153 ± 6 GPa (dB0/dp=19 ± 4) [2000Sol]. Despite high
bulk modulus the Vickers hardness of single crystals is as low as 20.7 GPa at a load of 25g and 18.2 GPa at
a load of 50g [2000Sol].
Al3BC was successfully prepared by self propagating high temperature synthesis induced by mechanical
activation of Al-B-C powder mixtures in air; mixtures low in boron (AlB0.1C) resulted in Al3BC3 under
violent emission of heat [1999Tsu]. In contrast to that [2000Sav] was unable to prepare ternary
aluminoborocarbides from mechanochemical synthesis. Elastic bulk and shear moduli for Al3BC (earlier
reported as Al4BC) were measured by [1995Pyz] and estimated by [1999Tor].
Miscellaneous
A series of patents covers the techniques to produce dense B4C/Al cermets by infiltration of the metal matrix
into the porous ceramic body without wetting reactions [1976Lan, 1986Hal, 1987Pyz, 1990Pyz, 1991Pyz,
1995Pyz, 1996Pyz, 1997Du, 2000Pyz, 2001Lee]; subsequent heat treatment results in materials with
designed chemistry and microstructures, flexure strength, hardness and fracture toughness. Fine
microstructures were obtained via ultrarapid microwave heating [1995Rug]. B4C/Al cermets have been
considered as an improved structural neutron absorber [1977Ros, 1978Boi, 1978Sur, 1986Ros, 1987Lev,
1992Bei] and for applications as friction materials for automotive brake applications [1999Cha]. Oxidation
protective B4C-coatings on C-fibers in Al-matrix were reported by [1996RMi] and [1996Vin] produced
C-fibres-Al composites by a squeeze casting technique. Explosive consolidation to produce Al/B4C
composites was studied by [1995Bon, 1997Yue]. Shock recovery experiments were performed on a 65 vol%
B4C-Al cermet as a function of shock pressure [1989Blu].
References
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System ” (in German), Z. Metallkd., 1, 1-5 (1936) (Equi. Diagram, Crys. Structure, 13)
[1960Koh] Kohn, J.A., Eckart, D.W., “Aluminium Boride, AlB12”, Anal. Chem., 32, 296-298 (1960)
(Crys. Structure, Experimental, 6)
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[1964Mat] Matkovich, V.I., Economy, J., Giese Jr. R.F., “Presence of Carbon in Aluminium Borides”,
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Al–B–C
[1967Ato] Atoda, T., Higashi, I., Kobayashi, M., “Process of Formation and Decomposition of
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[1972Sir] Sirtl, E., Woerner, L.M., “Preparation and Properties of Aluminium Diboride Single
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[1976Mon] Mondolfo, L.F., “Aluminium - Boron System” in “Aluminium Alloys: Structure and
Properties”, Butterworths, London, pp. 228-230 (1976) (Review, Equi. Diagram, 29)
[1977Mat] Matkovich, V.I., Economy, J., “Structural Determinants in Higher Borides”, in “Boron and
Refractory Borides”, Matkovich, V.I. (Ed.), Springer Verlag, Berlin, 78-95 (1977) (Crys.
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[1977Ros] Roszler, J.J., “Production of Neutron Shielding Material. Patent; B4C+Al in Al Boxes”, US
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[1978Boi] Boiko, Yu.V., Gol'tsev, V.P., Gorobtsov, V.G., Kavkhuta, G.A., Strelkov, G.I., Khrenov,
O.V., Yuzhanin, M.I., “Development and Investigation of Properties of Disperse
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Akad. Navuk BSSR, Ser. Fiz.-Energ. Navuk, 3, 5-8 (1978) (Mechan. Prop., Experimental)
[1978Ekb] Ekbom, L.B., “Effect of Increased Boron Content on the Sintering Behavior and Mechanical
Properties of Boron Carbide”, Keram. Z., 183-189 (1978) (Experimental, Mechan. Prop., 6)
[1978Sur] Suri, A.K., Gupta, C.K., “Studies on the Fabrication of Aluminium Bonded Boron Carbide
Rings”, J. Nucl. Mater., 74(2), 297-302 (1978) (Experimental, 4)
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Al–B–C
[1979Kis] Kislyi, P.S., Kozina, G.K., Bodnaruk, N.I., “Wetting and Impregnation of Boron Carbide
with Copper, Aluminum, and Their Alloys” (in Russian), Adgez. Rasplav. Pajka Mater., 4,
54-57 (1979) (Experimental)
[1979Pan] Panasyuk, A.D., Oreshkin, V.D., Maslennikova, V.R., “Study of the Kinetics of the
Reactions of Boron Carbide with Liquid Aluminium, Silicon, Nickel and Iron”, Sov.
Powder Metall. Met. Ceram., 199(7), 487-490 (1979), translated from Poroshk. Metall.,
199(7), 79-83 (1979) (Experimental, 9)
[1980Ino] Inoue, Z., Tanaka, H., Inomata, Y., “Synthesis and X-Ray Crystallography of Aluminium
Boron Carbide”, J. Mater. Sci., 15, 3036-3040 (1980) (Crys. Structure, Experimental, 7)
[1982Doe] Dörner, P., “Constitutional Investigations on High Temperature Ceramics of the
B-Al-C-Si-N-O System by Means of Thermochemical Calculations” (in German), Thesis,
Univ. Stuttgart (1982) (Experimental, Thermodyn., 126)
[1983Hig] Higashi, I., “Aluminum Distribution in the Boron Framework of -AlB12”, J. Solid State
Chem., 47, 333-349 (1983) (Crys. Structure, 17)
[1984Sig] Sigworth, G.K., “The Grain Refining of Aluminium and Phase Relationships in the Al-Ti-B
System”, Mat. Trans. 15A, 277-282 (1984) (Experimental, Equi. Diagram, Thermodyn.
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[1984Via] Viala, J. C., Bouix, J., “Elaboration of Aluminum-Matrix Composite Materials Reinforced
with Inorganic Fibers”, Mater. Chem. Phys., 11(2), 101-123 (1984) (Mechan. Prop.,
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[1985Che] Chernyshova, T.A., Tsirlin, A.M., Gevlich, S.O., Rebrov, A.V., Obolenskii, A.V., “Effect
of Surface Condition on the Strength of Coated Boron Fibers”, Sov. Powder Metall. Met.
Ceram., 24(3), 210-213 (1985), translated from Poroshk. Metall., 24(3), 39-43 (1985)
(Mechan. Prop., Experimental, 9)
[1985Hal] Halverson, D.C., Pyzik, A.J., I.A. Aksay, I.A., “Processing and Microstructural
Characterization of B4C-A1 Cermets”, “Composites and Advanced Ceramic Materials”,
Anon. Proc. 9th Annu. Conf., American Ceramic Society, Inc., Columbus, OH, 736-744
(1985) (Mechan. Prop., Experimental, 14)
[1985Kov] Koval'chenko, M.S., Laptev, A.V., Zhidkov, A.B., “Annealing Effect on Structure and
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24(9), 51-54 (1985) (Mechan. Prop., Experimental, 6)
[1985Pyz] Pyzik, A. J., Aksay, I. A., “Processing, Microstructure, and Mechanical Properties of Boron
Carbide-Aluminum Alloys Composites”, Anon. Abst. 38th Annu. Pacific Coast Regional
Meeting American Ceramic Society, American Ceramic Society, Columbus, OH, (1985)
(Mechan. Prop., Experimental, 0)
[1985Sar] Sarikaya, M., Pyzik, A.J., Ilsay, I.A., Snowden, W. E., “Effect of Secondary Phases on the
Properties of B4C-A1 Composites.”, Anon. Abst. of the 38th Annu. Pacific Coast Regional
Meeting American Ceramic Society, American Ceramic Society, Columbus, OH, (1985)
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[1986Che] Chernyshova, T.A., Rebrov, A.V., “Interaction Kinetics of Boron Carbide and Silicon
Carbide with Liquid Aluminium”, J. Less-Common Met., 117, 203-207 (1986) (Kinetics,
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[1986Dub] Dub, S.N., Prikhna, T.A., Il'nitskaya, O.N., “Mechanical Properties of the Al-B-C
Compounds Crystals” (in Russian), Sverkhtverd. Mater., 6, 12-18 (1986) (Mechan. Prop.,
Experimental, 22)
[1986Hal] Halverson, D.C., Pyzik, A.J., Aksay, I.A., “Boron-Carbide-Aluminum and
Boron-Carbide-Reactive Metal Cermets”, US patent document 4,605,440/A/, (1986)
[1986Kis] Kisly, P.S., Prikhna T.A., Golubyak, L.S., “Properties of High-Temperature Solution
Grown Aluminium Borides”, J. Less-Common Met., 117, 349-353 (1986) (Experimental,
10)
[1986Pes] Peshev, P., Gyurov, G., Khristov, M., Gurin, V.N., Korsukova, M. M., Solomkin, F.Yu.,
Sidorin K.K., “Preparation and some Properties of Aluminium Carboboride Single
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Al–B–C
Crystals”, J. Less-Common Met., 117, 341-348 (1986) (Crys. Structure, Mechan. Prop.,
Optical Prop., Experimental, 16)
[1986Ros] Roszler, J.J., “Process for the Manufacture of a Material Shielding Against Neutrons” (in
German), DE Patent Document 2643444/C2/, (1986)
[1987Hau] Haupt, H., Werheit, H., Siejak, V., Gurin, V.N., Korsukova, M.M., “Absorption Edge and
IR-active Phonons of Al3B48C2, “Boron, Borides and Related Compounds”, Proc. 9th Int.
Sympos., Werheit, H. (Ed.), Univ. Duisburg, Germany, 387-389 (1987) (Experimental, 2)
[1987Kis] Kisly, P.S., Prikhna, T.A., Gontar A.N., Podarevskaya, O.V.,“Structure and Properties of
Monocrystals of the Al-B-C System Compounds”, in “Boron, Borides and Related
Compounds”, Proceedings 9th Int. Sympos., Werheit, H. (Ed), Univ. Duisburg, Germany,
273-274 (1987) (Thermodyn., Crys. Structure, Phys. Prop., Experimental, 1)
[1987Lev] Levinskas, D., “Evaluation of Boron Carbide Coatings”, Western Region American Nuclear
Society Student Conference: Nuclear Technology for the Year 2000, American Nuclear
Society, La Grange Park, IL., NM(USA), 68-71 (1987) (Experimental, 0)
[1987Pyz] Pyzik, A.J., Aksay, I.A., “Multipurpose Boron Carbide-Aluminum Composite and its
Manufacture via the Control of the Microstructure”, US patent document 4,702,7707 A/, 27,
(1987)
[1987Sar] Sarikaya, M., Laoui, T., Milius D.L., Aksay, I.A., “Identification of a New Phase in the
Al-B-C Ternary by High-Resolution Transmission Electron Microscopy”. Proc. 45th Ann.
Meeting of the Electron Microscopy Society of America, Bailey, G.N., (Ed.), San Franc.
Press, USA, 168-169 (1987) (Crys. Structure, Experimental, 4)
[1988Kov] Koval'chenko, M.S., Paustovskij, A.V., Bolejko, B.M. Zhidkov, A.V., “Laser Surface
Hardening of Cermets on the Base of Boron Carbide”(in Russian), Poroshk. Metall., 5,
77-80 (1988) (Mechan. Prop., Experimental, 6)
[1989Blu] Blumenthal, W.R., Gray, G.T.,“Structure-Property Characterization of Shock-Loaded
B4C-Al”, Inst. Phys. Conf. Ser. No 102: Session 7, Paper Presented at Int. Conf. Mech. Prop.
Materials at High Rates of Strain, Oxford, 363-370 (1989) (Experimental, 8)
[1989Hal] Halverson, D.C., Pyzik, A.J., Aksay, I.A., Snowden, W.E., “Processing of Boron
Carbide-Aluminium Composites”, J. Am. Ceram. Soc., 72(5), 775-80 (1989) (Experimental,
33)
[1989Kha] Kharlamov, A.I., Duda, T.I., Lojchenko, S.V., Fomenko, V.V., “Preparation and Properties
of Aluminium Boridocarbide Powder of Al8B4C7 Composition”, 12th Ukrainian Republic
Conference on Inorganic Chemistry, Vol. 1, Simferopol’, Ukr. SSR, 44Pp. (1989) (Mechan.
Prop., Experimental, 0)
[1990Ase] Aselage, T.L., Tallant, D.R., Gieske, J.H., “Preparation and Properties of Icosahedral
Borides”, in “The Physics and Chemistry of Carbides, Nitrides and Borides”, Freer, R.
(Ed.), Proc. NATO Advanced Research Workshop, Manchester, U.K., 1989, published as
ASI-Series, Ser. E: Appl. Sci.,Vol. 185, Kluwer Acad. Publ., Dordrecht, 97-111 (1990)
(Crys. Structure, Review, Experimental,14)
[1990Luk] Lukas, H.L., ”Aluminium-Boron-Carbon”, in ”Ternary Alloys. A Comprehensive
Compendium of Evaluated Constitutional Data and Phase Diagrams”, Petzow, G.,
Effenberg, G., (Eds.), Vol. 3, VCH, Weinheim, 140-146 (1990) (Review, Equi. Diagram, 14)
[1990Oka] Okada, S., Kudou, K., Hiyoshi, H., Higashi, I., Hamano, K., Lundström, T., “Preparation of
AlC4B24 and Al3C2B48 Crystals”, J. Int. Ceram. Soc. Jpn., 98, 1342-1347 (1991), translated
from Nippon Seramikkusu Kyokai Gakujutsu Ronbunshi, 98(12), 1330-1336 (1990)
(Experimental, Crys. Structure, 24)
[1990Pyz] Pyzik, A.J., Williams P.D., McCombs, A., “New Low Temperature Processing for Boron
Carbide/Aluminium Based Composite Armor”, Final Report, US-Army Research Office,
DAAL 0388 C0030, 1990 (Experimental, 14 )
[1990Ram] Ramesh, K. T., Ravichandran, G., “Dynamic Behavior of a Boron Carbide-Aluminum
Cermet: Experiments and Observations”, Mech. Mater., 10(1-2) 19-29 (1990)
(Experimental, 22)
38
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Al–B–C
[1991Kha1] Kharlamov, A.I., Loichenko, S.V.,“Electronic Transport Properties of Hot-pressed
Boron-rich Compounds of the Al-B-C System”, in “Boron-Rich Solids”, AIP Conf. Proc.
231, Emin, D. et al. (Eds.), Albuquerque, USA, 1990, AIP, New York, 94-97 (1991)
(Experimental, 5)
[1991Kha2] Kharlamov, A.I., Loichenko, S.V., “Investigation: The Process of Densification of
Boron-Rich Compounds of the Al-B-C System”, in “Boron-Rich Solids”, AIP Conf. Proc.
231, Emin, D. et al. (Eds.), Albuquerque, USA, 1990, AIP, New York, 473-481 (1991)
(Experimental, 2)
[1991Kha3] Kharlamov, A.I., Murzin, L.M., Loichenko, S.V., Duda, T.I., “Electrical Conductivity and
Seebeck Coefficient of Hot-Pressed Specimens of Aluminium Borides and Carboborides”,
Sov. Powder Metall. Met. Ceram., 9(345), 770-773 (1991), translated from Poroshk.
Metall., 9(345), 62-65 (1991) (Experimental, Electr. Prop., 7)
[1991Kha4] Kharlamov, A.I., Duda, T.I., Fomenko, V.V., “Preparation and Properties of
High-Dispersive Powders of Aluminium Dodecaboride and Carboborides”, in “Boron-Rich
Solids”, AIP Conf. Proc. 231, Emin, D. (Eds.), Albuquerque, USA, 1990, AIP, New York,
512-515 (1991) (Experimental, 0)
[1991Pri] Prikhina, T.A., Kisly, P.S.,“Aluminium Borides and Carboborides”, in “Boron-Rich
Solids”, AIP Conf. Proc. 231, Emin, D. et al. (Eds.),Albuquerque, USA, 1990, AIP, New
York, 590-593 (1991) (Experimental, 11)
[1991Pyz] Pyzik, A. J., Nilson, R.T., “B4C/A1 Cermets and Method for Making Same”, US Patent
Document 5,039,633, (1991)
[1992Bei] Beidler, C.J., Hauth III, W.E., Goel, A., “Development of a B4C/A1 Cermet for Use as an
Improved Structural Neutron Absorber”, J. Testing and Evaluation, 20(1), 67-70 (1992)
(Experimental, 6)
[1992Var] Vardiman, R.G., “Microstructures in Aluminium, Ion Implanted with Boron and Heat
Treated”, Acta Metall. Mater., 40, 1029-35 (1992) (Crys. Structure, Eperimental, 7)
[1992Via] Viala, J.C., Gonzales, G., Bouix, J., “Composition and Lattice Parameters of a New
Aluminium-Rich Boron Carbide”, J. Mater. Sci. Lett., 11, 711-714 (1992) (Crys. Structure,
Experimental, 9)
[1993Bau] Bauer, J., Bittermann, H., Rogl, P., “Phase Relations and Structural Chemistry in the
Ternary System Aluminium - Boron - Carbon”, COST-507, Annual Report, (1993) (Crys.
Structure, Equi. Diagram, Experimental, 12)
[1993Gon] Gonzalez, G., Esnouf, C., Viala, J.C., “Structural Study of a New Aluminium Rich
Borocarbide Formed by Reaction at the B4C/Al Interface”, Mater. Sci. Forum, 126-128,
125-128 (1993) (Crys. Structure, Experimental, 4)
[1993Ips] Ipser, H., privat communication (1993) (Experimental)
[1993Kau] Kaufmann, L., private communication (1993) (Thermodyn.)
[1993Wen] Wen, H., “Thermodynamic Calculations and Constitution of the Al-B-C-N-Si-Ti System”
(in German), Thesis, Univ. Stuttgart, 1-183 (1993) (Calculation, Equi. Diagram,
Thermodyn., 223)
[1993Wer] Werheit, H., Kuhlmann, U., Laux, M., Lundström, T., “Structural and Electronic Properties
of Carbon-Doped -Rhombohedral Boron”, Phys. Status Solidi (B), B179, 489-511 (1993)
(Crys. Structure, Experimental, 51)
[1994Dus] Duschanek, H., Rogl, P., “The System Al-B”, J. Phase Equilib., 15(5), 543-52 (1994) (Crys.
Structure, Equi. Diagram, Experimental, #, 78) see also ibid, 16(1), 6 (1995)
[1994Kud] Kudou, K., Okada, S., Hikichi, H., Lundström, T., “Preparation and Properties of Si-doped
Al3C2B48-Type Crystals” (in Japanese), J. Soc. Mater. Sci., Jpn., 43(485), 223-228 (1994)
(Experimental, Crys. Structure, Phys. Prop., 20)
[1995Bon] Bond, G.M., Inal, O.T., “Shock-Compacted Aluminium/Boron Carbide Composites”,
Compos. Eng. 5(1), 9-16 (1995) (Experimental, 18)
[1995Hil] Hillebrecht, H., Meyer, F., “B48A13C2 - a Filled Variant of Tetragonal Boron”,
Z. Kristallogr., Suppl. 10, 101 (1995) (Crys. Structure, Experimental, 2)
39
Landolt-BörnsteinNew Series IV/11A1
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Al–B–C
[1995Osc] Oscroft, R.J., Roebuck P.H.A., Thompson, D.P., “Characterisation and Range of
Composition for Al8B4C7”, Br. Ceram. Trans., 94(1), 25-26 (1995) (Experimental, 11)
[1995Pyz] Pyzik, A.J., Beaman, D.R., “Al-B-C Phase Development and Effects on Mechanical
Properties of B4C/Al-Derived Composites”, J. Am. Ceram. Soc., 78(2), 305-312 (1995)
(Crys. Structure, Mechan. Prop., Experimental, 25)
[1995Rug] Ruginets, R., Fischer, R. “Microwave Sintering of Boron Carbide Composites”, Am. Ceram.
Soc. Bull., 74(1), 56-58 (1995) (Experimental)
[1996Bid] Bidaud, E., research at Univ. Wien, unpublished (1996)
[1996Hil1] Hillebrecht, H., Meyer, F.D., “The Structure of B48Al3C2 - A Filled and Distorted Variant
of Tetragonal Boron (I)”, in “Boron, Borides and Related Compounds”, Proc. 12th Int.
Symp., Baden/Wien, paper PA.4, 59 (1996) (Crys. Structure, Experimental, 6)
[1996Hil2] Hillebrecht, H., Meyer, FD., “Synthesis, Crystal Structure, and Vibrational Spectra of
Al3BC3, a Carbidecarboborate of Aluminium with Linear (C=B=C)5- Anions”, Angew.
Chem., 35(21), 2499-2500 (1996), translated from Angew. Chemie, 108(21), 2655-2657
(1996) (Crys. Structure, Experimental, 17)
[1996Kas] Kasper, B., “ Phase Equilibria in the B-C-N-Si System”, Thesis, Max Plank Institute-PML,
Stuttgart, (1996) (Equi. Diagram, Thermodyn.)
[1996Pyz] Pyzik, A.J., Deshmukh, U.V., Dunmead, S.D., Ott, J.J., Allen, T.L., Rossow, H.E., “Light
Weight Boron Carbide/Aluminium Cerments”, United States Patent: 5,521,016, (1996)
[1996RMi] R'Mili, M., Massardier, V., Merle, P., Vincent, H., Vincent, C., “Mechanical Properties of
T300/A1 Composites. Embrittlement Effects due to a B4C Coating”, J. Mater. Sci., 31,
4533-4539 (1996) (Mechan. Prop., Experimental, 12)
[1996Vin] Vincent, H., Vincent, C., Berthet, M. P., Bouix, J., Gonzalez, G., “Boron Carbide Formation
from BCl3-CH4-H2 Mixtures on Carbon Substrates and in a Carbon-Fibre Reinforced Al
Composite”, Carbon, 34(9), 1041-1055 (1996) (Crys. Structure, Mechan. Prop.,
Experimental, 25)
[1997Du] Du, W.F., Watanabe, T., “High-Toughness B4C-AlB12 Composites Prepared by Al
Infiltration”, J. Eur. Ceram. Soc., 17, 879-884 (1997) (Mechan. Prop., Experimental, 15)
[1997Mey] Meyer, F.D. Hillebrecht, H., “Synthesis and Crystal Structure of Al3BC, the First
Boridecarbide of Aluminium”, J. Alloy. Compd., 252, 98-102 (1997) (Crys. Structure,
Experimental, 30)
[1997Sch] Schmechel, R., Werheit, H., Robberding, K., Lundström, T., Bolmgren, H., “IR-active
Phonon Spectra of B-C-Al Compounds with Boron Carbide Structure”, J. Solid State
Chem., 133, 254-259 (1997) (Experimental, 11)
[1997Via] Viala, J. C., Bouix, J., Gonzalez, G., Esnouf, C. “Chemical Reactivity of Aluminium with
Boron Carbide”, J. Mater. Sci, 32, 4559-4573 (1997) (Equi. Diagram, Experimental, 39 )
[1997Yue] Yücel, O., Tekin, A., “The Fabrication of Boron-Carbide-Aluminium Composites by
Explosive Consolidation”, Ceram. Int., 23, 149-152 (1997) (Experimental, Mechan. Prop.,
3)
[1998Kha] Kharlamov, A.I., Kirillova, N.V., Loichenko, S.V., Fomenko, V.V., “Properties of
Aluminium Borides and Borocarbides”, Russ. J. Appl. Chem., 71(5), 743-749 (1998),
translated from Zh. Prikl. Khim, 71(5), 717-724 (1998) (in Russian), (Crys. Structure,
Kinetics, Mechan. Prop., Experimental, 13)
[1998Rog] Rogl, P., “Al-B-C (Aluminium-Boron-Carbon)”, MSIT Ternary Evaluation Program, in
MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart; Document ID: 10.12170.2.20, (1998) aslo published in ”Phase Diagrams
of Ternary Metal-Boron-Carbon Systems”, Effenberg, G., (Ed.), ASM-Intl, MSI, 3-15
(1998) (Assessment, Crys. Structure, Experimental, Equi. Diagram, 50)
[1999Bur] Burkhardt, U., Grin, Y., “Refinement of the Aluminium Diboride Crystal Structure”, in
“Borides and Related Compounds”, Abst. 13th Int. Symp. on Boron, Dinar (France), 13pp.,
(1999) (Crys. Structure, 3)
40
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[1999Cha] Chapman, T.R., Niesz, D.E., Fox, R.T., Fawcett, T., “Wear-resistant Aluminum - Boron -
Carbide Cermets for Automotive Brake Applications”, Wear, 236, 81-87 (1999) (Mechan.
Prop., Experimental, 9)
[1999Tor] Torquato, S., Yeong, C.L.Y., Rintoul, M.D., Milius, D.L., Aksay, I.A., “Elastic Properties
and Structure of Interpenetrating Boron Carbide/Aluminum Multiphase Composites”,
J. Am. Ceram. Soc., 82(5), 1263-1268 (1999) (Mechan. Prop., 32)
[1999Tsu] Tsuchida, T., Kan, T., “Synthesis of Al3BC in Air from Mechanically Activated Al/B/C
Powder Mixtures”, J. Eur. Ceram. Soc., 19, 1795-1799 (1999) (Crys. Structure,
Experimental, 12)
[2000Hal] Hall, A., Economy, J., “The Al(L)+AlB12 AlB2 Peritectic Transformation and its Role in
the Formation of High Aspect Ratio AlB2 Flakes”, J. Phase Equilib., 21(1), 63-69 (2000)
(Equi. Diagram, Experimental, 21)
[2000Hig] Higashi, I., “Crystal Chemistry of -AlB12 and -AlB12”, J. Solid State Chem., 154,
168-176 (2000) (Crys. Structure, Experimental, 18)
[2000Kha] Kharlamov, A. I., Nizhenko, V.I., Kirillova, N.V., Floka, L.I., “Wettability of Hot-Pressed
Samples of Boron-Containing Aluminium Compounds by Liquid Metals and Alloys” (in
Russian), Zh. Prikl. Khim., 73(6), 884-888 (2000) (Experimental, 14)
[2000Liu] Liu, C.H., “Structure and Properties of Boron Carbide with Aluminum Incorporation”,
Mater. Sci. Eng. B, B72, 23-26 (2000) (Phys. Prop., Crys. Structure, Experimental, 10)
[2000Mey] Meyer, F.D., Hillebrecht, H., “Ternary Phases in the System Al/B/C”, in “High
Temperature Materials Chemistry”, Vol. 15, Part 1, K. Hilpert et al. (Eds.), Proc. 10th Intl.
IUPAC Conf., Forschungszentrum Jülich, Germany, Published by Schriften des
Forschungszentrums Juelich, 161-164 (2000) (Crys. Structure, 5)
[2000Pyz] Pyzik, A.J., Deshmukh, U.V., Krystosek, R. D., “Aluminum-Boron-Carbon Abrasive
Article and Method to Form Said Article”, US Patent: 6,042,627, (2000).
[2000Sav] Savyak, M., Uvarova, I., Timofeeva, I., Isayeva L., Kirilenko, S., “Mechanochemical
Synthesis in Ti-C, Ti-B, B-C, B-C-A1 Systems”, Mater. Sci. Forum, 343-346, 411-416
(2000) (Experimental, 4)
[2000Sol] Solozhenko, V.L., Meyer, F.D., Hillebrecht, H., “300-K Equation of State and
High-Pressure Phase Stability of Al3BC3”, J. Solid State Chem., 154, 254-256 (2000) (Crys.
Structure, Experimental, 11)
[2000Wan] Wang, T., Yamaguchi, A., “Some Properties of Sintered Al8B4C7”, J. Mater. Sci. Letter.,
19, 1045-1046 (2000) (Calculation, Crys. Structure, 6)
[2000Wer] Werheit, H., Schmechel, R., Meyer, F. D., Hillebrecht, H., “Interband Transitions and
Optical Phonons of B48Al3C2”, J. Solid State Chem., 154, 75-78 (2000) (Optical Prop.,
Experimental, 10)
[2001Fje] Fjellstedt, J., Jarfors, A.E.W., El-Benawy, T., “Experimental Investigation and
Thermodynamic Assessment of the Al-rich Side of the Al-B System”, Mater. Des., 22(6),
443-449 (2001) (Thermodyn, Equi. Diagram, Experimental, 14)
[2001Lee] Lee, K. B., Sim, H.S., Cho, S.Y., Kwon, H., “Reaction Products of Al-Mg/B4C Composite
Fabricated by Pressureless Infiltration Technique”, Mater. Sci. Eng. A, 302, 227-234 (2001)
(Crys. Structure, Equi. Diagram, Experimental, 17)
[2002Ars] Arslan, G., Kara, F., Turan, S., “Mechanical Properties of Melt Infiltrated Boron
Carbide-Aluminium Composites”, Key Eng. Mater., 206-213(2), 1157-1160 (2002)
(Experimental, Mechan. Prop., 5)
[2002Bur] Burkhardt, U., Gurin, V., Borrmann, H., Schnelle, W., Grin, Y., “On the Electronic and
Structural Properties of Aluminium Diboride Al0.9B2”, in “Boron, Borides and Related
Compound”, Abst. 14th Int. Symp., (ISBB’02), Saint Petersburg, O4, (2002) (Crys.
Structure, 3)
[2002Kou1] Kouzeli, M., Mortensen, A., “Size Dependent Strengthening in Particle Reinforced
Aluminium”, Acta Mater., 50, 39-51 (2002) (Mechan. Prop., Experimental, 59)
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Al–B–C
[2002Kou2] Kouzeli, M., Marchi, C. S., Mortensen, A., “Effect of Reaction on the Tensile Behavior of
Infiltrated Boron Carbide-Aluminum Composites”, Mater. Sci. Eng. A, A337, 264-273
(2002) (Experimental, Mechan. Prop., 51)
[2002Zhe] Zheltov, P., Grytsiv, A., Rogl, P., Velikanova, T.Ya., Research at Univ. Wien (unpublished)
(2002) (Equi. Diagram, Crys. Structure)
[2003Per] Perrot, P., “Aluminium-Carbon”, MSIT Binary Evaluation Program, in MSIT Workplace,
Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH, Stuttgart, to be
published, (2003) (Equi. Diagram, Crys. Structure, Assessment, 19)
Table 1: Literature Data on Experimental Temperatures of Invariant Equilibrium L+AlB12 AlB2
* DSC measurements were performed with heating rate of 5, 15 and 40°/min., and extrapolated to 0°C/min.
Table 2: Crystallographic Data of Solid Phases
Technique Heating Rate T [°C] References
Stability observation - 1000 -1500 [1936Hof]
Synthesis observation - 980 [1967Ser]
DTA 4°C/min 920 [1967Ato]
Stability observation - 1350-1500 [1972Sir]
DTA 5°C/min 1030±5 [1993Ips]
Synthesis observation - 892±5 [1997Via]
DSC and
Stability observation
0°C/min* 956±5 [2000Hal]
DSC 10°C/min 914±55 [2001Fje]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
< 660.452
cF4
Fm3m
Cu
a = 404.96 [Mas2]
( B)
< 2092
hR333
R3m
B
a = 1093.30
c = 2382.52
a = 1092.2
c = 2381.1
a = 1096.5
c = 2386.8
a = 1097.4
c = 2387.7
[Mas2, 1993Wer]
at 1.1 at.% C [1993Wer]
linear da/dx, dc/dx
at AlB31 [V-C2]
from sample Al4B95C1, quenched from
1400°C, contains Al3B48C2 and AlB12
[1993Bau]
(C)
< 3827 (B.P.)
hP4
P63/mmc
C-graphite
a = 246.12
c = 670.90
a = 246.023
c = 671.163
a = 246.75
c = 669.78
[Mas2]
[1967Low]
at 2.35 at.% Bmax (2350°C)
linear da/dx, dc/dx, [1967Low]
42
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–C
B4C
< 2450
hR45
R3m
B13C2
a = 565.1
c = 1219.6
a = 560.7
c = 1209.5
a = 560.3
c = 1209.8
9 to 20 at.% C [1990Ase]
from sample containing 2, 4, quenched
from 1400°C [1993Bau]
B25C tP52
P42m
B25C
a = 872.2
c = 508.0
[V-C2]
also B51C1, B49C3; all metastable?
Al2B3
525
hR*
Al2B3 (?)
a = 1840
c = 896
at 60 at.% B [1992Var]
metastable?
AlB2
956±5
hP3
P6/mmm
AlB2
a = 300.6
b = 325.2
a = 300.67 ± 0.01
b = 325.36 ± 0.02
a = 300.63 ± 0.01
b = 325.46 ± 0.01
a = 300.43 ± 0.03
b = 325.19 ± 0.06
[1994Dus],
temperature from [2000Hal]
[2002Zhe]
[2002Zhe] in 33.3Al-66.2B-0.5C,
in equilibrium with 5 at 900°C
[1999Bur] for Al0.9B2
AlB12
2050
tP216
P41212
AlB12
a = 1015.8
c = 1427.0
a = 1018
c = 1434.3
a = 1016.3
c = 1425.6
a = 1015.5
c = 1426.0
a = 1014.93 ± 0.07
c = 1425.0 ± 0.5
[1994Dus]
exp. = 2.65 Mgm-3
[1991Pri]
from sample Al2B92C2, quenched from
1400°C, contains Al3B48C2 [1993Bau]
from sample Al4B95C1, quenched from
1400°C, contains Al3B48C2 and AlB31
[1993Bau]
[2002Zhe]
AlB12 oP384
P212121
AlB12
a = 1014.4
b = 1657.3
c = 1751.0
a = 1019.5
b = 1666
c = 1769
[1983Hig, 1994Dus, 2000Hig]
metastable phase or ternary product
stabilized by small amounts of impurity
metals present in Al-flux grown material
exp. = 2.56 Mgm-3
[1991Pri]
Al4C3
< 2156
hR21
R3m
Al4C3
a = 333.8
c = 2511.7
a = 334.21 ± 0.01
c = 2503.2 ± 0.5
a = 335.78 ± 0.02
c = 2499.6 ± 0.5
[2003Per, V-C2]
[2002Zhe]
[2002Zhe] in 57.1Al-4.3B-38.6C
Al4(C0.9B0.1)3, in equilibrium with 5 at
900°C
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
43
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–C
* 1, Al2.1B51C8
(eventually low
temperature
phase of 2)
oC88
Cmcm
Al2B51C8 a = 569.0
b = 888.1
c = 910.0
a = 568.7
b = 887.7
c = 909.8
a = 569.0
b = 888.1
c = 910.0
a = 569.3
b = 884.7
c = 909.3
a = 567.6
b = 891.4
c = 909.5
a = 569.2
b = 889.2
c = 911.2
earlier labeled “AlB10” [1967Wil] or
AlB24C4 [1964Mat,1969Wil,1970Wil]]
[1969Per]
exp. = 2.54 Mgm-3
from sample containing 2 and 3,
quenched from 1400°C [1993Bau]
from sample containing 4, quenched
from 1400°C [1993Bau]
from sample Al4B92C4 quenched from
1400°C, contains Al3B48C2 (tetragonal),
Al3B48C2 (A) and AlB40C4 [1993Bau]
[1991Pri]
[1990Oka]
exp. = 2.54 Mgm-3
single crystals from Al-flux
* 2, AlB40C4
(eventually high
temperature phase
of 1)
hR45
R3m
B4C-deriv.
a = 564.2
c = 1236.7
a = 565.37
c = 1231.4
a = 564.8
c = 1239.9
a = 565.6
c = 1238.9
a = 563
c = 1129
a = 565
c = 1239
[1970Nei]
exp. = 2.52 Mgm-3
from sample containing 1, 3, quenched
from 1400°C [1993Bau]
from sample containing 4 and B4C,
quenched from 1400°C [1993Bau]
from sample Al4B92C4 quenched from
1400°C, contains also Al3B48C2
(tetrag.), Al3B48C2 and Al2.1B51C8
[1993Bau]
[1966Gie] for composition “Al2B48C8”
[1966Lip] for composition “Al4B48C8”
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
44
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–C
* 3, Al3B48C2 (r)
< 650
oI212
Imma
Al3B48C2
a0 = 1240.7
b0 = 1262.3
c0 = 1014.4
a = 1234
b = 1263
c = 508
a = 1232.5
b = 1261.4
c = 1016.2
a = 1233.72
b = 1262.41
c = 1016.06
a = 1232.5
b = 1264.7
c = 1016.2
a = 1230.2
b = 1262.1
c = 1016.1
a = 1229.1
b = 1262.2
c = 1015.88
a = 1233.62
b = 1262.40
c = 1015.94
a = 1239.0 ± 0.3
b = 1263.7 ± 0.3
c = 1013.6 ± 0.4
a = 1237.7
b = 1262.7
c = 507.9 to
a = 1236.3
b = 1261.6
c = 510.2
a = 616.6
b = 1263.5
c = 1065.6
a = 618.1
b = 1262.2
c = 1016.1
a = 617
b = 1263
c = 1016
a = 616.4
b = 1262.1
c = 1016.4
[1996Hil1], only one low temperature
modification!
[1965Mat], two modifications,
microscopically twinned;
modification A, c=c0/2
from a sample Al6B92C2 cooled from
1400°C contains “AlB12” [1993Bau]
from sample Al4B95C1 cooled from
1400°C contains also “AlB12”, AlB31
[1993Bau]
[1991Pri]
[1994Kud]
from sample Al4B92C4 cooled from
1400°C, [1993Bau] contains
Al2.1B51C8, AlB40C4 and tetragonal
Al3B48C2
[1993Bau] from sample Al4B95C1,
cooled from 1400°C, see above.
[2000Wer]
[1990Oka]
single crystals from Al-flux
modification A ; c = c0/2
[1990Oka]
single crystals from Al-flux
exp. = 2.59(2) Mgm-3
modification B, a = a0/2
[1965Mat]
modification B
a = a0/2
[1991Pri]
a = a0/2
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
45
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–C
a) P63/mmc for subcell with a = a0/ , c = c0
* 3, Al3B48C2 (h)
> 650
tP52
P42/nnm
B25C -deriv.
a = 885
c = 508
a = 882
c = 509
a = 881.9
c = 508.25
[1996Hil1] high temperature
modification
[1965Mat]
from sample Al4B92C4 cooled from
1400°C, contains also Al2.1B51C8,
AlB40C4 and orthorhombic Al3B48C2
[1993Bau]
* 4, Al3BC3
< 1835
hP42
P3c1 a)
Mg3BN3
a = 589.97
c = 1589.0
a = 590.6
c = 1590.1
a = 590.7
c = 1591.3
a = 590.5
c = 1590.5
a = 340.1 ± 0.3
c = 1584 ± 0.2
a = 590.22 ± 0.3
c = 1589.4 ± 0.1
[1996Hil2] = 2.66 Mgm-3
temperature from [1980Ino]
[1980Ino], labelled as Al8B4C7
from sample containing 1,
quenched from 1400°C [1993Bau]
from sample containing 2 and B4C,
quenched from 1400°C [1993Bau]
[2000Sol], subcell with a = a0/
pressure dependence of the lattice
parameters is given up to 7.5GPa
[2002Zhe]
* 5, Al3BC
< 1100
hP20
P3c1
(P63/mmc
for subcell)
Al3BC
a = 605.0
c = 1154.0
a = 603.45
c = 1152.02
a = 6041.9 ± 0.2
c = 1154.0 ± 0.3
a = 349.1
c = 1154.1
a = 352.0
c = 582.0
[1993Gon, 1997Via]
[1997Mey] from single crystals,
“Al2.5BC” from EPMA
[2002Zhe]
[1992Via], subcell with a = a0/
[1987Sar], earlier “Al4BC“
subcell with a = a0/ , c = c0/2
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
3
3
3
3
46
Landolt-Börnstein New Series IV/11A1MSIT®
Al–B–C
Ta
ble
3:
Mic
roh
ard
nes
s, F
ract
ure
To
ug
hn
ess,
Ele
ctri
cal C
on
du
ctiv
ity
, A
ctiv
atio
n E
ner
gie
s fo
r E
lect
rica
l C
on
du
ctiv
ity
an
d T
her
mal
Co
nd
uct
ivit
y f
or
Var
iou
s
Alu
min
ium
Bo
rid
es a
nd
Alu
min
ium
Bo
ron
Car
bid
es.
Co
mp
ou
nd
Cry
stal
Fac
e
of
Ind
ent
Mic
roh
ard
nes
s [G
Pa]
at V
ario
us
Lo
ads
and
Tem
per
atu
res
Fra
ctu
re
To
ug
hn
ess
K1c
[MP
am
1/2
]
293
K [
m]
Act
ivat
ion E
ner
gy
E [
eV]
10
0K
to
40
0K
R=
R0ex
p(-
E/2
kT
)
Th
erm
al
Co
nd
uct
ivit
y
[Wm
-1K
-1]
Ref
eren
ces
Kn
oo
pV
ick
ers
Al 3
B4
8C
2(1
11)
(100)
(111)
26
.5(5
) (
2N
29
3K
)
23.1
(5
N, 2
93K
)
27
.1(5
) (
2N
, 2
93
K)
37
.6(2
.0)
(0
.5N
, 2
93
K)
31.7
(8)
(1
N,
2
93K
)
23.7
(6)
(4
.9N
, 2
93K
)
33.6
(1.6
) (2
N,
293K
)
25
.7 t
o
30
.5
(1
N,
29
3K
)
5.3
4(1
)
10
4-1
06
2.6
10
3-1
0-6
2.6
10
-6
1 0.6
- 1
.2
19
.6 (
31
0K
)
[19
86K
is]
[19
86K
is]
[19
86K
is]
[19
91P
ri]
[19
90O
ka,
199
4K
ud
]
[19
86D
ub]
[19
86D
ub]
[19
86D
ub]
Al 2
.1B
51C
8(1
00
)2
2.6
(2
N,
29
3K
)
26
(5
N,
29
3K
)
6
(5
N,
12
00
K)
24.2
(7)
(
2N
, 29
3K
)
25.0
-26
.9 (1
N,
293K
)
2.7
(2)
10
-3 -
1
2.0
2 1
05
0.1
0.0
8 -
0.1
8
38
.7 (
31
0K
)
60
(60
0K
)
[19
86K
is]
[19
86K
is]
[19
86K
is]
[19
91P
ri]
[19
90O
ka]
Al 3
BC
32
0.7
(
0.2
5N
, 2
93
K)
18
.2
(
0.5
0N
, 2
93
K)
[20
00
So
l]
AlB
12
(101)
19.6
(5)
(
2N
, 29
3K
)1
.5(3
)5.9
2
10
20.1
8 -
0.3
6[1
991P
ri]
AlB
12
(001)
29.6
(1.0
) (0
.5N
, 29
3K
)
25.8
(7)
(
1N
, 2
93K
)
22.8
(8)
(
2N
, 2
93K
)
21.6
(1.1
) (4
.9N
, 29
3K
)
34.4
(2.7
) (0
.5N
, 2
93K
)
31.0
(1.5
) (1
N,
293K
)
27
.3(1
.2)
(2
N, 2
93K
)
23.8
(9)
(
4.9
N, 2
93K
)
1.8
(2)
3.8
5
10
50
.22
[19
86D
ub]
[19
86D
ub]
[19
91P
ri]
[19
86D
ub]
47
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–C
Al
600
660.452
700
800
900
1000
Temperature,°C
1100
0 0.2 0.4 0.6 0.8 2.4 2.5 2.6
[1967Ser]
[2001Fje]
[1994Dus]
[1984Sig]
[1976Mon]
L+AlB12
0.55
1030 5±2.5
980975
914
?
927
0.7
L+AlB2
659.7
L
0.055
(Al)+AlB2
0.025
0.0045
B, at.%
Fig. 1a: Al-B-C.
Various versions of
the Al-rich part of the
Al-B diagram
80 60 40 20
500
750
1000
1250
1500
1750
2000
Al BAl, at.%
Tem
pera
ture
, °C
956±5
659.7(Al)
AlB2
AlB12 (βB)
~20502092°C
0.55
0.055
97
Fig. 1b: A-B-C.
Accepted Al-B phase
diagram
48
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–C
600
700
800
900
1000
1100
Al Al 99.30B 0.70
Al, at.%
Tem
pera
ture
, °C
956±5
(Al)+AlB2
0.55
0.0045
L
L+AlB12
0.055659.7
L+AlB2
20
40
60
80
20 40 60 80
20
40
60
80
Al B
C Data / Grid: at.%
Axes: at.%
~Al4BC
τ5Al3BC
Al3BC3τ4
Al8B4C7
Al4B1-3C4
Al2.6-3.0B1.8-1.2C
Al2.33-2.5BC
[1964Mat]
[1996Hil2]
[1995Pyz][1987Sar]Al3BC
[1992Via]
[1980Ino]
[1997Mey]
Fig. 1c: Al-B-C.
Accepted Al-B phase
diagram, enlarged
Al-rich region
Fig. 2: Al-B-C.
Superposition of
literature data on the
homogeneity regions
of τ4 and τ5 phases.
Half-filled circles
correspond to the
accepted
compositions
49
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–C
20
40
60
80
20 40 60 80
20
40
60
80
Al B
C Data / Grid: at.%
Axes: at.%
Al4C3
B4C
AlB12
τ5
τ4
τ3
τ1
τ2
(βB)
L
τ2, AlB40C4
τ5, Al3BC
τ1, Al2.1B51C8
τ3, Al3B48C2
τ4, Al3BC3
Al B
C Data / Grid: at.%
Axes: at.%
AlB12
B4C
Al4C3
τ3
τ1τ2
τ5
τ4
(βB)
L
τ4, Al3BC3
τ1, Al2.1B51C8
τ2, AlB40C4
τ5, Al3BC
τ3, Al3B48C2
Fig. 4: Al-B-C.
Isothermal section at
1000°C
Fig. 3: Al-B-C.
Isothermal section at
1400°C; the position
of Al3BC is
indicated by a full
circle
50
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–C
20
40
60
80
20 40 60 80
20
40
60
80
Al B
C Data / Grid: at.%
Axes: at.%
L
τ5
τ4
AlB12
B4C
τ3
τ1τ2
Al4C3
AlB2
(βB)
τ5, Al3BC
τ1, Al2.1B51C8
τ2, AlB40C4
τ3, Al3B48C2
τ4, Al3BC3
Fig. 5: Al-B-C.
Isothermal section at
900°C
e
e
e
�� �� �
��
��
��
�� �
��
��
��
Fig. 6: Al-B-C.
Tentative liquidus
surface projection
51
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–C
Fig
. 7
:
Al-
B-C
. R
eact
ion s
chem
e
Al-
BB
-CA
-B-C
L +
(βB
) A
lB12
2050
p4
L B4C
+ (
C)
2390
e 1
L +
B4C
τ 3p1A
l-B
-C
L +
B4C
(βB
) +
τ3
U1
Al-
C
L +
(C
) A
l 4C3
2156
p2
L
(Al)
+ A
lB2
659.7
e 2
L +
AlB12
AlB2
956.5
p5
L(A
l) +
Al 4
C3 +
τ5
E2
L (
Al)
+ A
lB2 +
τ5
E1
L +
τ3
AlB2 +
τ5
U5
L +
AlB12
AlB2 +
τ3
U4
B4C
+ τ3
(βB
) +
τ2
U3
B4C
+ τ1
+τ 3
τ 2P2L +
B4C
+ τ3
τ 1P1
L +
(βB
) A
lB12 +
τ3
U2
L(A
l) +
τ5
e 3L
(A
l) +
Al 4
C3
660
e 4
L +
B4C
(βB
)
2103
p3
? ?
L +
AlB12
+ τ 3L
+ (
βB)
+ τ3
B4C
+ (
βB)
+ τ3
B4C
+ τ1
+τ 3
L +
B4C
+ τ1
?L
+ τ1
+τ 3
?B4C
+ τ3 +
τ2
B4C
+ τ1 +
τ2
τ 1+
τ 3 +
τ2
L +
AlB2
+τ 3
AlB12
+ A
lB2
+τ 3
L +
τ3
+τ 5
?
τ 3+
(βB
) +
τ2
B4C
+ (
βB)
+ τ2
L +
AlB2
+τ 5
τ 3+
AlB2 +
τ5
L +
Al 4
C3
+τ 5
?
(Al)
+ A
lB2
+τ 5
(Al)
+ A
l 4C3 +
τ5
(βB
) +
AlB12
+τ 3
52
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Mg
Aluminium – Boron – Magnesium
Qingsheng Ran, updated by Peter Rogl
Literature Data
Grain refining of boron additions to Al-Mg alloys was the basis for early studies of the Al-B-Mg system
[1949Ebo]. No complete phase diagram exists, although several groups investigated the interactions in the
ternary system [1959Hof, 1970Mat, 1971Vek, 1981Por, 1983Sho]. Considerable interest was further
devoted to the rather hard compound “MgAlB14” [1970Mat, 1971Vek, 1983Hig, 1990Hig, 1993Hig].
Single crystals were obtained from aluminum high temperature flux starting from the nominal composition
MgAl31B6 which was heated under argon in an alumina crucible to 1500°C, kept at this temperature for 1h
and slowly cooled to RT (10K min-1). The excess Al was then dissolved in hot HCl [1983Hig, 1993Hig].
From a batch with ~100 g, crystals were formed up to 5 mm in size and predominantly as plates with the
habit {001} [1993Hig]. When starting mixtures with smaller amounts of Mg were used, AlB12 type
crystals Mg0.45Al0.77B12 were obtained, mostly as thin hexagonal plates [1993Hig].
[1959Hof] mixed magnesium, aluminum and boron in order to study the formation of (Al,Mg)B2 solid
solutions. After sintering in argon at temperatures between 725 and 790°C the formation of such a solid
solution was identified despite the kinetic difficulty of formation. From 99.9 % pure metals and 99.2 % pure
amorphous boron [1971Vek] synthesized 22 ternary alloys. The mixtures were briquetted and heated to
temperatures of 850 to 1000°C under an argon atmosphere in sintered alumina crucibles. The reaction
products were investigated by X-ray phase analysis. [1970Mat] prepared “MgAlB14” by heating a mixture
of magnesium, aluminum and boron in atomic proportions of 1:2:14 to 900°C for 6 h. The sample was then
cooled and treated with concentrated hydrochloric acid. The crystal structure of this phase was determined
by X-ray (probably on single crystal) diffraction.
The present evaluation was published in the MSIT Evaluation Program earlier and reflects today’s state of
knowledge.
Binary Systems
The systems Al-B [1994Dus] and B-Mg [1978Spe] are accepted.
Solid Phases
According to [1971Vek] the phase “MgAlB12” is identical to “MgAlB14”. The structure of which was
determined in detail from several attempts to obtain single crystal material from high temperature aluminum
solutions [1983Hig, 1990Hig, 1993Hig]. In agreement with the chemical analysis (atom emission
spectroscopy, Mg0.79Al0.80B14), X-ray single crystal studies revealed significant defects on the metal sites:
Mg0.78Al0.75B14 [1983Hig, 1990Hig, 1993Hig]. For smaller Mg-concentrations in the Al-melt crystals
“Mg0.5Al1.4B22” of the AlB12 type were obtained [1990Hig, 1993Hig], suggesting a high temperature
solid solution of Mg in AlB12 (about 3.5 at.% Mg at ~1500°C).
Isothermal Sections
A tentative isothermal section at approximately 900°C (Fig. 1) is constructed from the results of [1971Vek].
[1971Vek] reported a region of (Al) solid solution containing more than 65 at.% B, which is quite
improbable and might be the result of the difficult formation of the (Al,Mg)B2 phase as stated by [1959Hof].
For the phase relations at 900°C a small solid solution of Mg in AlB12 was assumed as well as for Al in
( B). The ternary compound was taken at the composition Mg0.78Al0.75B14 [1983Hig, 1990Hig, 1993Hig].
53
Landolt-BörnsteinNew Series IV/11A1
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Al–B–Mg
Notes on Materials Properties and Applications
Microhardness (Vickers hardness under a load of 100g) for Mg0.78Al0.75B14 crystals was found to range
from 27.70 to 28.90 GPa [1993Hig].
References
[1949Ebo] Eboral, M.D., “Grain Refinement of Aluminium and its Alloys by Small Additions of Other
Elements”, J. Inst. Met. 76, 295-320 (1949) (Experimental, 29)
[1959Hof] Hofmann, H., “Studies of Some Borides of Lithium, Magnesium and Aluminium” (in
German), Thesis, University Stuttgart, (1959) (Experimental, 15)
[1970Mat] Matkovich, V.I., Economy, J., “Structure of MgAlB14 and a Brief Critique of Structural
Relations in Higher Borides”, Acta Crystallogr. Sect. B: Struct. Crystallogr. Crys. Chem.,
26B, 616-621 (1970) (Crys. Structure, Experimental, 24)
[1971Vek] Vekshina, N.V., Markovskii, Ya.L., Kondrashev, Yu.D., Voevedskaya, T.K., “Binary
Borides of Al and Mg”, J. Appl. Chem. 44, 970-974 (1971), translated from Zh. Prikl. Khim.,
44, 958-963 (1971) (Equi. Diagram, Experimental, 14)
[1978Spe] Spear, K.E., “Correlations and Predictions of Metal-Boron Phase Equilibria”, NBS Special
Publications 496, 744-762 (Equi. Diagram, Review, 21)
[1981Por] Portnoi, K.I., Bogdanov, V.I., Mikhailov, A.V., Fuks, D.L., “Interaction Parameters in
Interstitial Solid Solutions Based on Aluminium”, Russ. J. Phys. Chem., 55, 583-584 (1981)
(Experimental, 10)
[1983Hig] Higashi, I., Ito, T., “Refinement of the Structure of MgAlB14”, J. Less Common Met., 92,
239-246 (1983) (Experimental, Crys. Structure, 15)
[1983Sho] Shorshorov, M.Kh., Potatov, V.I., Antipov, V.I., Trutnev, V.V., Akinfieva, L.A., Potapova,
T.K., “Reaction of Boron with an Aluminium-Magnesium System Alloy, Fiz. Khim. Obrab.
Mater., 3, 142-143 (1983) (Experimental, 4)
[1990Hig] Higashi, I., Kobayashi, M., Takahashi, Y., Okada, S., Hamano, K., “Crystal Growth of
Icosahedral Boride (B12) Compounds from High-Temperature Metal Solutions”, J. Cryst.
Growth, 99, 1-4P2, 998-1004 (1990) (Experimental, Crys. Structure, 32)
[1993Hig] Higashi, I., Kobayashi, M., Okada, S., Hamano, K., Lundström, T., “Boron-Rich Crystals
in Al-M-B (M = Li, Be, Mg) Systems Grown from High-Temperature Aluminium
Solutions”, J. Cryst. Growth, 128, 1113-1119 (1993) (Experimental, Crys. Structure, 16)
[1991Pri] Prikhina, T.A., Kisly, P.S., “Aluminium Borides and Carboborides”, in “Boron-Rich
Solids” Emin, D., et al. (Eds.) Proc. Conf. 231, Albuquerque, 1990, published by AIP, New
York, 590-593 (1991) (Experimental, 11)
[1992Var] Vardiman, R.G., “Microstructures in Aluminium, Ion Implanted with Boron and Heat
Treated”, Acta Metall. Mater., 40, 1029-1035 (1992) (Crys. Structure, Experimental, 7)
[1993Wer] Werheit, H., Kuhlmann, U., Laux M., Lundström, T., “Structural and Electronic Properties
of Carbon-Doped -Rhombohedral Boron”, Phys. Status Solidi B, B179, 489-511 (1993)
(Crys. Structure, Experimental, 51)
[1994Dus] Duschanek, H., Rogl, P., “The System Al-B”, J. Phase Equilib., 15 (5), 543-552 (1994)
(Crys. Structure, Equi. Diagram, Experimental, #, 78) see also ibid, 16 (1), 6 (1995)
54
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Mg
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/ References
(Al)
< 660.452
cF4
Fm3m
Cu
a = 404.96 [Mas2]
( B)
< 2092
hR333
R3m
B
a = 1093.30
c = 2382.52
[1993Wer]
a = 1096.5
c = 2386.8
at AlB31 [V-C2]
Al2B3
525
hR*
Al2B3 (?)
a = 1840
c = 896
at 60 at.% B [1992Var]
AlB12
2050
tP216
P41212
AlB12
a = 1015.8
c = 1427.0
a = 1018
c = 1434.3
[1994Dus]
exp. = 2.65 Mgm-3
[1991Pri]
AlB12 oP384
P212121
AlB12
a = 1014.4
b = 1657.3
c = 1751.0
a = 1019.5
b = 1666
c = 1769
[1994Dus] metastable phase or ternary
product stabilized by small amounts of
impurity metals present in Al-flux
grown material
exp. = 2.56 Mgm-3
[1991Pri]
Mg0.25Al0.77B12 a = 1018.7
b = 1663.3
c = 1754.7
solid solution of Mg in AlB12
[1990Hig, 1993Hig]
(Al1-xMgx)B2
AlB2
975
hP3
P6/mmm
AlB2
a = 300.6
b = 325.2
0 < x < 1 [1959Hof, 1971Vek]
at x = 0 [1994Dus]
a = 304.7
c = 336.6
at x = 0.5 [1971Vek]
MgB2
1550(BP)
a = 308.5
b = 352.3
at x = 1 [V-C2]
MgB4
1775 (BP)
oP20
Pnma
MgB4
a = 546.4
b = 442.8
c = 747.2
[V-C2]
MgB7
2150 (BP)
oI64
Imma
MgB7
a = 597.0
b = 1048.0
c = 812.5
[V-C2]
* 1, Mg0.78Al0.75B14 oI68
Imma
MgAlB14
a = 584.8
b = 1031.2
c = 811.2
[1970Mat, 1983Hig, 1993Hig]
55
Landolt-BörnsteinNew Series IV/11A1
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Al–B–Mg
10
20
30
40
60 70 80 90
10
20
30
40
Mg 50.00B 50.00Al 0.00
Mg 0.00B 50.00Al 50.00 Data / Grid: at.%
Axes: at.%
(Al,M
g)B 2
τ1, (AlMg)2-xB14
αAlB12
MgB7MgB4
L+(Al,Mg)B2
MgB2
AlB2
(βB)
B
Fig. 1: Al-B-Mg.
Tentative partial iso-
thermal section at
about 900°C
56
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–N
Aluminium – Boron – Nitrogen
Vasyl’ Tomashik
Literature Data
A critical assessment of the Al-B-N ternary system has been published by [1990Jeh], which included the
literature data up to 1986. Literature data up to 1991 have been critically reviewed by [1992Rog] and later
by [1998Rem]. Subsequently this system was investigated experimentally by several techniques and for
different temperature and composition ranges and calculated thermodynamically. The present assessment
takes into account all available data.
Information on Al-B-N phase relations appeared for the first time in the work of [1965Pri], where the
prospects were discussed to develop from this system alloys with special physical properties. Today general
agreement exists that there are no ternary compounds in this system. Various methods were used to prepare
the specimens. [1966Pri, 1968Pri, 1972Mog, 1979Sir, 1980Ole, 1982And2] used pressure sintering of
polycrystalline samples Al+BN or AlN+B at various temperatures and found that the density of the Al+BN
samples decreases after sintering whilst the sintering of AlN+B samples leads to increasing density
[1966Pri, 1968Pri]. BN interacts with Al in the process of hot pressing and forms AlN [1972Mog]. The
sintering of polycrystalline BN-Al specimens (1500-3000°C and 5-9.5 GPa) yielded cubic BN containing
2-3 mass% dissolved Al; higher Al contents resulted in the formation of h-BN, AlB12 and AlN [1979Sir].
According to the data of [1999Bez] the interaction of Al melt and c-BN at 8GPa begins at 1270°C with the
formation of AlN, AlB2 and AlB12. It was determined that the lattice constant of c-BN increases at the
reaction sintering of c-BN and Al [2000Bez].
AlN was found to act as a catalyst for the synthesis of cubic BN from hexagonal BN under the inert or
reducing atmosphere in lowering the temperature and pressure conditions [1977But, 1979Maz, 1980Ole,
1981Hir]. At 1600°C and 6.5 GPa the well-crystallized hexagonal BN could be completely be converted
into c-BN by adding 20 mole% AlN and 20 mass% of toluene [1981Hir]. Reducing atmosphere in the
high-pressure cell should enhance the catalytic effect of AlN.
[1972Lyu, 1973Lyu] alternatively prepared Al+B+N alloys by nitrating complex Al and B salts or mixtures
of metal and complex salts in NH3 atmosphere.
The experimental results allow to conclude that the mutual solid solubility of AlN and BN in the quasibinary
system AlN-BN is small [1965Pri, 1972Lyu, 1973Lyu, 1979Sir, 1982And1, 1982And2, 1989Pol]. The
lattice parameter of BN increased from 361 to 364.4 pm on saturation with Al [1977But]. According to
calculations of the lattice parameters, using a model with the eight-atom clusters, the average value of lattice
constant varies linearly with t composition for the AlxB1-xN solid solution at 830°C and the calculated value
of the fluctuation a at x = 0.5 is equal to 37 pm [2002Tel].
In the reaction of BN crucibles with liquid Al, AlB2 and AlB12 boride inclusions are formed [1967Lue]. In
Al containing BN films prepared by dual-ion beam sputtering, the amount of cubic phase decreased
monotonically with increasing Al concentration. The recorded structure of such films changed to that of
hexagonal BN when the content of Al exceeded 3.2 at.% [2002Kur].
Binary Systems
For the best match of ternary and binary data the binary descriptions of the MSIT Binary Evaluation
Program are accepted here: Al-B [2003Ted], Al-N [2003Fer] and B-N [2003Rec].
Solid Phases
No ternary compound exists in the Al-B-N system. All unary and binary phases are listed in Table 1.
57
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–N
Pseudobinary Systems
A hypothetical phase diagram of the AlN-BN pseudobinary system was constructed in the investigation at
8-9 GPa and 2000-2500°C [1980Bar]. Homogeneous solid solutions were obtained at the simultaneous
nitration in the NH3 flow of BN and Al powder. Later [1983But] found that the c-BN solid solutions
contains up to 25 mole% AlN (Table 1). It is worth noting that the phase diagram presented there is in
disagreement with the Phase Rule and the large solubility ranges disagree with the information given by
[1989Pol], who reports that the solubility of BN in AlN is small and that the lattice parameter of AlN after
annealing of the mixtures AlN+BN at 7 GPa and 1500°C does not change. Quantum-chemical calculations
indicate that the phase based on BN has the highest stability in the system [1982And1, 1982And2].
Thermodynamic calculations based on a regular solution model have predicted an unstable region of mixing
to occur in the AlN-BN system [2001Tak]. The interaction parameter (138.5 kJ mol-1) that was used in the
calculations has been analytically obtained by the valence force field model, modified for wurtzite
structures. According to the interaction parameter the value of the critical temperature is found to be
8060°C. The phase diagram of the AlN-BN system including the spinodal and binodal curves was also
calculated using the generalized quasichemical approximation and ab-initio total energy method [2002Tel].
From these calculations the critical temperature appears to be very high, approximately 9230°C, which
results in a very large miscibility gap. The phase diagram as far as obtained experimentally, verifies that
there is spinodal decomposition for the AlxB1-xN alloys in the interval 0.051 < x < 0.963.
Invariant Equilibria
The reaction scheme given in Fig. 1 incorporates the “Thermo-Calc” calculations by [1993Wen] and the
binary data given by [2003Ted, 2003Fer, 2003Rec].
Isothermal Sections
At room temperature the Al-B-N system is divided into five triangles (Al-AlB2-AlN, AlN-AlB2-AlB12,
AlN-AlB12-BN, AlB12-B-BN and AlN-BN-N) without solid solubility of the third component in all binary
compounds [1979Sir, 1990Jeh]. According to the data of [2002Riz] the Al-B-N ternary system at 1500°C
can be divides into four triangles (Al-AlB12-AlN, AlB12-AlN-BN, AlB12-B-BN and AlN-BN-N).
Isothermal sections at 2500°C and 100 kPa or 2500°C and 8 GPa presented by [1982And2] reveal a rather
unusual extension of the AlN and BN solid solutions based on. Phase equilibria in the Al-B-N system at
900°C under 100 kPa argon (in the absence of external nitrogen) have been established from X-ray powder
diffraction analysis [1991Rem, 1992Rog] and are given in Fig. 2. This isothermal section was reproduced
in the review [1994Mch]. Lattice parameters suggest a mutual solubility of AlN and BN of less than ~4
mole% with no significant changes in solubility between 900 and 1600°C and nitrogen practically does not
dissolve in the binary aluminium borides. Some isothermal sections have been calculated using the program
Thermo-Calc (Figs. 3-9) [1993Wen].
Notes on Materials Properties and Applications
The addition of 10 vol.% Al allows to improve the sintering ability of BN-TiB2 material for the manufacture
of evaporation boats [1972Mog].
The compressive stress of 5.6 GPa and the hardness value of 60 GPa of the BN films were reduced to 2 and
13 GPa respectively after adding 3.2 at.% Al [2002Kur]. Compared with pure cubic BN film the oxidation
resistance of the BN films improves drastically with Al additions of less then 2.3 at.%. The addition of Al
is a very effective technique for preventing delaminating and for controlling internal stress, as well as
improving the oxidation resistance.
A linear behavior of the bulk modulus with composition was obtained for AlxB1-xN ternary alloys (from
209 GPa for AlN to 386 GPa for BN) [2002Tel].
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Al–B–N
Miscellaneous
The wetting angle of Al on h-BN, as measured by the sessile drop method at 1000°C, was given as =157°
[1966Yas]. For c-BN the wetting angle increases with increasing pressure: 40° at 2.5 GPa and 1450°C; 85°
respectively 60° at 8.0 GPa and 1700°C, respectively 2000°C [1999Bez].
References
[1965Pri] Prikhod’ko, L. I., “Prospects of Creation of Materials with Special Physical Properties in the
Aluminium-Boron-Nitrogen System” (in Russian), Vestn. Kiev. Politekhn. Inst., Ser.
Mekhan.-Tekhnol., (2), 59-63, (1965) (Theory, Equi. Diagram, 12)
[1966Pri] Prikhod’ko, L. I., “Investigation of Conditions for Obtaining of Materials Based on Boron
and Aluminium Nitrides” (in Russian), Poroshkov. Met., (1), 17-22 (1966) (Experimental,
Equi. Diagram, 11)
[1966Yas] Yasinskaya, G.A., “The Wetting of Refractory Carbides, Borides and Nitrides by the
Molten Metals”, Sov. Powder Metall. Met. Ceram., (7), 557-559 (1966), transl. from
Poroshkov. Met., (7), 53-56 (1966) (Experimental, Equi. Diagram, 5)
[1967Lue] Luetkemeyer, M., Kirner, K., “High-Temperature Reactions of Boron Nitride with
Aluminium” (in German), Prakt. Metallogr., 4, 83-87 (1967) (Experimental, Equi.
Diagram, 3)
[1968Pri] Prikhod’ko, L. I., “Investigation of the Boron - Aluminium - Nitrogen Alloys” in “Khimiya
i Fizika Nitridov” (in Russian), Nauk. Dumka, Kiev, 84-89 (1968) (Experimental, Equi.
Diagram, 13)
[1972Lyu] Lyutaya, M. D., Bartnitskaya, T. S., Fainer, I. S., “Investigation in the Field of Group IIIA
Mixed Nitrides”, Kristallokhim. Tugoplav. Soedin., Kiev, 53-61 (1972) (Experimental,
Equi. Diagram, 10)
[1972Mog] Mogilensky, V.I., Gropyanov, V.M., Zhunda, A.N., Zeberin, A.G., Egorova G.V.,
“Aluminium Vaporizers Made of Materials Based on Boron Nitride and Titanium
Diboride”, Sov. Powder Metall. Met. Ceram. (Engl. Transl.), 3(111), 203-206 (1972),
translated from Poroshk. Metall., (3), 42-47 (1972) (Experimental, Equi. Diagram, 7)
[1973Lyu] Lyutaya, M. D., Bartnitskaya, T. S., “Thermal Stability of Complex Nitrides of Elements of
Subgroup IIIB (Al-B-N System)”, Inorg. Mater. (Engl. Transl.), 9, 1052-1054 (1973),
translated from Izv. Akad. Nauk SSSR, Neorg. Mater., 9(8), 1367-1371 (1973)
(Experimental, Equi. Diagram, 7)
[1977But] Butylenko, A.K., Bartnitskaya, T.S., Lugovskaya, E.S., Timofeeva, I.I., “Aluminium
Doping of Cubic Boron Nitride” (in Russian), Pis’ma Zhur. Tekh. Fiz., 3(20), 1094-1095
(1977) (Experimental, Equi. Diagram, 1)
[1979Maz] Mazurenko, A.M., Leusenko, A.A., Strukov, N.A., Nichipor, V.V., “Aluminium Influence
on the Formation and Cutting Properies of Cubic Boron Nitride Polycrystals” (in Russian),
Sverhtverd. Mater., (1), 13-16 (1979) (Experimental, Equi. Diagram, 11)
[1979Sir] Sirota, N. N., Zhuk, M. M., “Study of the Phase Composition and Some Properties of a
Super-Hard Material Obtained in the Boron Nitride - Aluminum System at High Pressures
and Temperatures” (in Byelorussian), Vestsi Akad. Navuk BSSR, Ser. Fiz.-Mat., (5), 85-88
(1979) (Experimental, Equi. Diagram, *, 8)
[1980Bar] Bartnitskaya, T.S., Butylenko, A.K., Lugovskaya, E.S., Timofeeva, I.I., “Study of the
Quasibinary Cross Section of AN-BN at High Pressures” (in Russian), Vys. Davleniya
Svoistva Mater., Mater Resp. Nauchn. Semin., 1978 (Pub.), Kiev, 90-94 (1980)
(Experimental, Equi. Diagram, *, 3)
[1980Ole] Olehnovich, N.M., Pashkovskyy, O.I., Starchenko, I.M., Sharay, V.T., Shipilo, V.B.,
“About Mechanism of Phase Transition in BN at its Interaction with Al at the High
Pressures and Temperatures” (in Russian), Izv. Akad. Nauk SSSR, Neorg. Mater., 16(10),
1780-1784 (1980) (Experimental, Equi. Diagram, 4)
59
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–N
[1981Hir] Hirano, Sh., Yamaguchi, T., Naka, Sh., “Effects of AlN Additions and Atmosphere on the
Synthesis of Cubic Boron Nitride” J. Am. Ceram. Soc., 64(12), 734-736 (1981)
(Experimental, Equi. Diagram, 13)
[1982And1] Andreeva, T.V., Timofeeva, I. I., Bartnitskaya, T. S., “About New Boron-Containing
Phases in the B-N-Al System” (in Russian), Vysokotemp. Boridy Silitsidy, Kiev, 80-82
(1982) (Calculation, Equi. Diagram, 3)
[1982And2] Andreeva, T.V., Bartnitskaya, T.S., Butylenko, A.K., Goryachev, Yu.M., Timofeeva, I.I.,
“Effect of Pressure on Phase Composition in a Boron-Nitrogen-Aluminum System” (in
Russian), Protsessy Vzaimodeistviay na Granitse Razdela Faz, Kiev, 70-74(1982)
(Experimental, Equi. Diagram, 3)
[1983But] Butylenko, A.K., Timofeeva, I.I., Bartnitskaya, T.S., Makarenko, G.N., Kosolapova, T.Ya.,
Smolin, M.D., “Physico-Chemical Principles of Cubic Boron Nitride Doping” (in Russian),
In: Sverhtverdyye Materialy: Sintez, Svoystva, Primenieniye., Nauk. Dumka, Kiev, 66-69
(1983) (Experimental, Equi. Diagram, 12)
[1989Pol] Polyakov, V.P., Elyutin, V.P., Polushin, N.I., Burdina, K.P., Lysenko, Yu.A., Kalashnikov,
Ya.A., “Interaction in the AlN-BN System Under Conditions of High Pressures and
Temperatures” (in Russian), Dokl. Akad. Nauk. SSSR, 306(6), 1413-1416 (1989)
(Experimental, Equi. Diagram, 12)
[1990Jeh] Jehn, H.A., “Aliminium-Boron-Nitrogen”, in “Ternary Alloys. A Comprehensive
Compendium of Evaluated Data and Phase Diagrams”, Petzow G., Effenberg, G., (Eds.),
Vol. 3, VCH, 192-193 (1990) (Review, Equi. Diagam, #, *, 7)
[1991Rem] Remschnig, K., Duschanek, H., Rogl, P., “The Ternary System Al-B-N”, COST 507 Leuven
Proceedings; Part A, A2, (1991) (Experimental, Equi. Diagram, #, *, 31)
[1992Rog] Rogl, P., Schuster, J.C., “Al-B-N”, in “Phase Diagrams of Ternary Boron Nitride and
Silicon Nitride Systems” Monogr. Ser. Alloy Phase Diag., 3-5 (1992) (Equi. Diagram,
Review, #, *, 16)
[1993Wen] Wen, H.M.Sc., “Thermodynamic Calculations and Constitution of the Al-B-C-N-Si-Ti
System” (in German), Thesis, Univ. Stuttgart, 1-183 (1993) (Calculation, Equi. Diagram, #,
*, 223)
[1993Wer] Werheit, H., Kuhlmann, U., Laux, M., Lundström, T., “Structural and Electronic Properties
of Carbon-Doped -Rhombohedral Boron”, Phys. Status Solidi (B), B179, 489-511 (1993)
(Crys. Structure, Experimental, 51)
[1994McH] McHale, A.E., “VIII. Boron Plus Nitrogen Plus Metal; Al-B-N”, Phase Equilibria
Diagrams, Phase Diagrams for Ceramists, 10, 212-213 (1994) (Review, Equi. Diagram, 3)
[1998Rem] Remschnig, K., Duschanek, H., Rogl, P., ”Al-B-N (Aluminium - Boron - Nitrogen),” MSIT
Ternary Evaluation Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials
Science International Services GmbH, Stuttgart; Document ID: 10.16348.1.20, (1998)
(Crys. Structure, Equi. Diagram, Assessment, 30)
[1999Bez] Bezhenar, M.P., “Physico-Chemical Interaction at the Sintering of Cubic Boron Nitride
with Aluminium at the High Pressures” (in Ukrainian), Sverhtverd. Mater., (2), 4-11 (1999)
(Experimental, Equi. Diagram, 8)
[2000Bez] Bezhenar, M.P., Bozhko, S.A., Nahornyi, P.A., Bilyavina, N.M., Markiv, V.Ya,
“Interaction of Cubic Boron Nitride with Aluminium at the Carbon Presence” (in
Ukrainian), Sverhtverd. Mater., (4), 36-40 (2000) (Experimental, Equi. Diagram, 6)
[2001Tak] Takayama, T., Yuri, M., Itoh, K., Baba, T., Harris Jr., J.S., “Analysis of Phase-Separation
Region in Wurtzite Group III Nitride Quaternary Material System Using Modified Valence
Force Field Model”, J. Cryst. Growth, 222(1-2), 29-37 (2001) (Calculation, Equi. Diagram,
*, 20)
[2002Kur] Kurooka, S., Ikeda, T., Tanaka, A., “Influence of Al Addition on Mechanical and Oxidation
Properties of cBN Films”, Thin Solid Films, 415, 46-52 (2002) (Experimental, Equi.
Diagram, 23)
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Al–B–N
[2002Riz] Rizzoli, C., Salamakha, P.S., Sologub, O.L., Bocelli, G., “X-Ray Investigation of the
Al-B-N Ternary System: Isothermal Section at 1500°C: Crystal Structure of the
Al0.185B6CN0.256 Compound”, J. Alloys Compd., 343, 135-141 (2002) (Experimental,
Equi. Diagram, Crys. Structure, 28)
[2002Tel] Teles, L.K., Scolfaro, L.M.R., Leite, J.R., Furthmueller, J., Bechstedt, F., “Spinodal
Decomposition in BxGa1-xN and BxAl1-xN Alloys”, Appl. Phys. Lett., 80(7), 1177-1179
(2002) (Calculation, Equi. Diagram, *, 14)
[2003Fer] Ferro, R., Bochvar, N., Sheftel, E., Ding, J.J., “Al-N (Aluminum-Nitrogen)”, MSIT Binary
Evaluation Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science
International Services GmbH, Stuttgart, to be published, (2003) (Review, Equi. Diagram,
Assessment, 33)
[2003Ted] Tedenac, J.-C., “Al-B (Aluminium-Boron)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart, to be published, (2003) (Crys. Structure, Equi. Diagram, Assessment, 23)
[2003Rec] Record, M.Ch., Tedenac, J.-C., “B-N (Boron-Nitrogen)”, MSIT Binary Evaluation
Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International
Services GmbH, Stuttgart, to be published, (2003) (Crys. Structure, Equi. Diagram,
Assessment, 50)
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
( Al)
< 660.452
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
( B)
< 2092
hR333
R3m
B
a = 1093.30
c = 2382.52
a = 1092.2
c = 2381.1
a = 1096.5
c = 2386.8
a = 1097.4
c = 2387.7
[Mas2, 1993Wer]
at 1.1 at.% C [1993Wer]
linear da/dx, dc/dx
at AlB31 [V-C2]
from samplr Al4B95C1, quenched from
1400°C, contains Al3B48C2 and AlB12
[1993Bau]
( N)
< -237.54
cP8
Pa3
N
a = 566.1 [Mas2]
AlB12
< 2050
tP216
P41212
AlB12
a = 1015.7 ± 0.5
c = 1475 ± 11
[2003Ted]
AlB12
< 1450
oP384
P212121
AlB12
a = 1014.0
b = 1657.3
c = 1751.0
[2003Ted]
AlB2
956±5
hP3
P6/mmm
AlB2
a = 300.58 ± 0.05
c = 325.33 ± 0.08
[2003Ted]
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Landolt-BörnsteinNew Series IV/11A1
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Al–B–N
Al2B3
< 525
hR*
Al2B3
a = 1840
c = 896
[2003Ted]
metastable
AlN
< 2434.7
hP4
ZnS
a = 311.14
c = 497.92
at 25°C [2003Fer]
h-BN
< 2397
hP4
P63mc
BN
a = 250.4
c = 666.1
[2003Rec]
c-BN cF8
F43m
ZnS
a = 361.53 ± 0.04 [2003Rec]
w-BN hP4
P63/mmc
ZnS
a = 255.0 ± 0.5
c = 423 ± 1
[2003Rec]
r-BN hR6 a = 250.4
c = 999.1
[2003Rec]
Compressed h-BN mC4
C2/c or Cc
a = 433
b = 250
c = 310 to 330
= 92-95°
[2003Rec]
AlxB1-xN
AlxB1-xN
cF8
F43m
ZnS
a = 361
a = 364.4
a = 361 ± 0.5
a = 361.2 ± 0.5
a = 362.7 ± 0.5
a = 363.5 ± 0.5
at x = 0
at x = 0.333 [1977But]
at x = 0
at x = 0.05
at x = 0.09
at x = 0.25 [1983But]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
62
Landolt-BörnsteinNew Series IV/11A1
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Al–B–N
Fig
. 1:
A
l-B
-N. R
eact
ion s
chem
e af
ter
[1993W
en]
wit
h s
om
e m
odif
icat
ions
regar
din
g t
he
acce
pte
d b
inar
y d
iagra
ms
from
[2003G
ry,
2002F
er,
2003R
ec]
Al-
BA
l-N
B-N
Al-
B-N
G +
L
AlN
2434.7
p1
L +
(βB
) A
lB12
2050
p3
G +
L
AlN
+ B
N2280
U1
L (
βB)
+ B
N
2092
d1
G +
L
BN
2397
p2
L A
lN +
(αA
l)
660.3
d2
(αA
l)+
AlB2
Al 2
B3
525
p5
L A
lB2
+ (
αAl)
659.7
e
L +
AlB12
AlB2
965
p4
L +
AlB12
AlB2,
AlN
975
D2
L (
αAl)
, A
lB2,
AlN
659.7
D3
(αA
l)+
AlB2
Al 2
B3,A
lN525
D4
L +
BN
A
lB12 +
AlN
1980
U2
L +
(βB
) A
lB12,
BN
2050
D1
(βB
) +
AlB12 +
BN
L +
AlB12 +
BN
L +
AlN
+ B
NG
+ A
lN +
BN
AlB12 +
AlN
+ B
NL
+ A
lB12 +
AlN
L +
AlB2
+ A
lN
AlB12 +
AlB2
+ A
lN
(αA
l) +
AlB2 +
AlN
(αA
l) +
Al 2
B3 +
AlN
AlB2 +
Al 2
B3 +
AlN
63
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Al–B–N
20
40
60
80
20 40 60 80
20
40
60
80
Al B
N Data / Grid: at.%
Axes: at.%
AlN
BN
AlB2 AlB12 (βB)
L
AlN+AlB12+(βB)L+BN+AlB2
BN+AlB2+AlN
AlB2+AlN+AlB12
Fig. 2: Al-B-N.
Isothermal section at
900°C under 105 Pa
argon (in absence of
external nitrogen)
[1991Rem]
20
40
60
80
20 40 60 80
20
40
60
80
Al B
N Data / Grid: at.%
Axes: at.%
AlB12
BNAlN
Al2B3AlB2
(Al) AlB2+AlN+AlB12AlN+Al2B3+AlB2
(Al)+AlN+Al2B3
(βB)
AlN+BN+AlB12
BN+AlB12+(βB)
Fig. 3: Al-B-N
Calculated isothermal
section at 230°C
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Al–B–N
20
40
60
80
20 40 60 80
20
40
60
80
Al B
N Data / Grid: at.%
Axes: at.%
AlB12
BNAlN
AlB2
L
(βB)
L+AlN+AlB2
AlN+AlB2+AlB12
AlN+BN+AlB12
BN+AlB12+(βB)
20
40
60
80
20 40 60 80
20
40
60
80
Al B
N Data / Grid: at.%
Axes: at.%
AlB12
BNAlN
L
BN+AlB12+(βB)
L+AlN+AlB12
L+AlN+AlB12
(βB)
Fig. 4: Al-B-N.
Calculated isothermal
section at 730°C
Fig. 5: Al-B-N.
Calculated isothermal
section at 1230°C
65
Landolt-BörnsteinNew Series IV/11A1
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Al–B–N
20
40
60
80
20 40 60 80
20
40
60
80
Al B
N Data / Grid: at.%
Axes: at.%
BNAlN
AlB12L
BN+AlB12+(βB)
L+AlN+BN
L+BN+AlB12
(βB)
20
40
60
80
20 40 60 80
20
40
60
80
Al B
N Data / Grid: at.%
Axes: at.%
AlB12
BNAlN
L
BN+AlB12+(βB)
L+AlN+AlB12
AlN+BN+AlB12
(βB)
Fig. 7: Al-B-N.
Calculated isothermal
section at 2060°C
Fig. 6: Al-B-N.
Calculated isothermal
section at 1730°C
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Al–B–N
20
40
60
80
20 40 60 80
20
40
60
80
Al B
N Data / Grid: at.%
Axes: at.%
BNAlN
G
BN
+G+L
AlN+G+L
L
20
40
60
80
20 40 60 80
20
40
60
80
Al B
N Data / Grid: at.%
Axes: at.%
G
L
Fig. 8: Al-B-N.
Calculated isothermal
section at 2330°C
Fig. 9: Al-B-N.
Calculated isothermal
section at 3430°C
67
Landolt-BörnsteinNew Series IV/11A1
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Al–B–Ni
Aluminium – Boron – Nickel
Peter Rogl
Literature Data
Transient liquid bonding (TLB) using B-Ni eutectic filler material proved to be an efficient process to
produce interface-less joints in Ni-base superalloys. Control of process parameters avoiding the appearance
of brittle boride phases, however, requires profound understanding of the diffusion process, phase
boundaries and ultimately of phase equilibria in the ternary Al-B-Ni system.
Several research groups have dealt with the experimental constitution of the Al-B-Ni ternary system: (a)
[1962Sta1, 1963Sta] proposed a tentative liquidus projection for Ni-rich alloys (50-100 at.% Ni) from
metallographic and XRD inspection on about 40 ternary alloys prepared by high frequency induction
melting in sintered alumina crucibles (air-cooled cast melts). An 800 C isothermal section was constructed
[1962Sta1] based on alloys annealed in evacuated silica capsules for 300 h; (b) [1973Cha] prepared two
isothermal sections at 800°C and 1000°C, based on XPD and microstructural analyses. The specimens
(elemental powder compacts) were annealed in evacuated silica capsules at 1000, 800 and 600°C for not
less than 150, 600 and 1000 h, respectively. Alloys containing more than 60 mass% Al were investigated at
600°C. Results of [1973Cha] confirmed the formation of the 1 phase with an extended homogeneity region,
but showed the existence of further ternary compounds, 2 Ni5AlB4 and 3 Ni8AlB11; (c) crystallographic
studies were performed of the ternary boride, 1, (Cr23C6 type structure) with an extended homogeneity
region by [1962Sta2, 1963Sta] and [1998Hil]; (d) a thermodynamic assessment of the Al-B-Ni system is
due to [1999Cam] and in refined version from [2000Cam].
Phase relations in the Al-B-Ni system have been reviewed by [1989Sch, 1990Sch, 1999Cam].
Binary Systems
The binary boundary systems Al-Ni and B-Ni are accepted from critical assessments of [2003Sal] and
[Mas2], respectively. Although the system Al-B has been assessed and thermodynamically modelled by
several authors, the system was adopted in the form described in Al-B-C [2003Gry].
Solid Phases
Three ternary phases, 1 to 3, were detected by [1973Cha] (Table 1), the latter (Ni8AlB11) with a
polymorphic transition in the temperature range from 800 to 1000°C transforming from a monoclinic
high-temperature structure to an unidentified structure at 800°C. The ternary phase, 2 Ni5AlB4, was only
observed in the 800°C isothermal section [1973Cha]; its crystal structure is still unknown.
Whilst both research groups [1973Cha, 1962Sta1, 1962Sta2, 1963Sta] agree on the existence of the 1 phase
with an extended region of homogeneity, discrepancy exists on the extent of the 1 phase at 800°C:
[1962Sta1, 1962Sta2, 1963Sta] report on a narrow phase field extending from 21 to 34 at.% boron:
Ni20Al3B6-12 starting from the B-poor composition at 70Ni-8Al-22B (at.%) to the B-rich composition at
60Ni-10Al-30B (at.%). According to [1973Cha] the 1 phase region at 800°C is rather small extending at a
constant Al-content of 10.3 at.% from 20 to 28 at.% B. The 1 phase field is more extensive at 1000°C
ranging from 20 to 34 at.% B [1973Cha] in close resemblance to the data listed by [1962Sta1, 1962Sta2,
1963Sta] for 800°C. Only half the number of alloys were examined by [1973Cha] compared with
[1962Sta1] but they were annealed for twice the time. Although it is difficult to judge, which version
corresponds to true equilibrium, we may assume that Stadelmaier’s results have suffered from lack of
equilibrium and rather reveal the phase relations at about 1000°C.
[1962Sta2, 1963Sta] tried to explain the unusually large homogeneity region of 1 with strongly varying
boron content on the basis of a partial replacement of single boron atoms by boron-pairs within the
Archimedian Ni- prisms in the crystal structure of the Cr23C6 type.
68
Landolt-BörnsteinNew Series IV/11A1
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Al–B–Ni
A detailed structural investigation of the homogeneity region of 1 employing X-ray single crystal
diffractometry [1998Hil] suggests two substitution mechanisms: (i) Ni/Al replacement Ni20+xAl3-xB6 and
(ii) substitution of Al-atoms by boron tetrahedra Ni20Al3-2yB6+8y. Whilst the variation of composition from
Ni20Al3B6 to Ni20Al2.4B8.4 seems to follow the experimental observations of [1962Sta1] and [1973Cha],
the endpoints of the structural series Ni20Al3-2yB6+8y for 0.3 y 1 are in conflict with the experimental
phase region and certainly provoke further experimental studies.
The possibility of ternary phase formation by reaction of transition metal borides with Al in terms of the
electron structure of the transition metals was discussed by [1981Ser].
Invariant Equilibria
Figure 1 presents the reaction scheme for the Ni-rich part of the system. The maximum melting point of
congruently-melting 1, was said to be at a composition close to 60Ni-9Al-31B (at.%), however, no melting
temperature was reported [1962Sta1]. Four ternary invariant reactions were proposed by [1962Sta1],
although no temperatures were given and composition of the phases involved can only be guessed from a
graph presented; see Table 2. Furthermore the B-Ni binary phase diagram adopted by [1962Sta1] has been
revised since, requiring amendments to the reactions proposed by [1962Sta1]: the ternary eutectic reaction
L (Ni)+ 1+Ni3B, originally had Ni2B as a product phase, but the transition reaction U1, L+NiAl Ni3Al+ 1
and the ternary eutectic reaction E1, L (Ni)+Ni3Al+ 1, are unchanged. The primary solidification region
for “Ni3B2” [1962Sta1] needs to be replaced by the phases o-Ni4B3and m-Ni4B3. According to [1962Sta1]
there are maximum points on three of the monovariant curves. These correspond to the pseudobinary
equilibria L (Ni)+ 1, L NiAl+ 1 and L Ni3B+ 1.
The fourth reaction, L 1+NiAl+NiB, as stated by [1962Sta1], is rather unlikely, as this region of the
ternary phase diagram is relatively complex due to binary reactions, which will extend into the ternary in a
manner currently unknown.
The thermodynamic calculation [1999Cam] lists the same four ternary invariant reactions as observed by
[1962Sta1]. Calculated reaction temperatures and compositions of the liquid phases involved are given
dependent on two different assessments for the Al-Ni binary, [1997Ans] and [1998Hua]. There are,
however, a series of major discrepancies, as seen from the comparison in Table 2.
A detailed study by DTA and Knudsen-effusion mass spectroscopy [1990Dha] comparing four binary
alloys, Ni1-xAlx, x = 0.20, 0.23, 0.24 and 0.26 with those containing 0.5 at.% B, showed that minor additions
of boron altered considerably the phase boundaries.
Liquidus Surface
A liquidus surface for the region with more than 50 at.% Ni was constructed by [1962Sta1]. As mentioned
under “Invariant Equilibria”, it needs revision to comply with the accepted binary B-Ni system. The region
with less than 30 at.% B is shown in Fig. 2. Due to casting alloys in air (eventual burn up of boron),
Stadelmaier's reaction isotherms, E1, E2 and U1 may have shifted to lower boron contents than shown
[1962Sta1]. This would be in better agreement to a non-depleted eutectic E1.
Isothermal Sections
A partial isothermal section at 1000°C (see Fig. 3) was determined by [1973Cha] for the region Ni-NiAl-B.
Phase equilibria at 800°C are presented in Fig. 4 and are essentially based on the investigation by
[1973Cha]: alloys containing more than 60 at.% Al were annealed at 600°C. However, no complete 600°C
isothermal section was reported by [1973Cha]. For an extensive discussion of the homogeneity region of
the 1 phase, see section “Solid Phases”. Both isothermal sections, Fig. 3 and Fig. 4, have been amended to
comply with the accepted binary boundary systems. Changes in particular concern the phase AlB12 as well
as the solubility of Al and Ni in ( B).
69
Landolt-BörnsteinNew Series IV/11A1
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Al–B–Ni
Thermodynamics
A thermodynamic modelling of the system Al-B-Ni was performed by [1999Cam] using the CALPHAD
approach with Redlich-Kister polynomial description of the Gibbs energy functions [1985Sun]. The binary
systems Al-B and B-Ni were included in the modelling. In contrast to earlier treatment, boron was taken as
an interstitial element in the solid metal solutions and in Ni3Al [1999Cam]. Although most of the
experimental phase relations are revealed by the thermodynamic calculation, there are three major points of
disagreement:
(i) a rather high thermal stability of AlB12 favours equilibria with AlB12 over those with ( B) i.e. at 800°C
rather AlB12+NiB, AlB12+Ni8AlB11, AlB12+Ni5AlB4, than ( B)+Ni8AlB11, ( B)+Ni5AlB4;
(ii) a higher stability is calculated at 1000°C for the two-phase equilibrium m-Ni4B3+Ni8AlB11 than the
experimentally observed NiB+ 1;
(iii) the calculated homogeneity region of 1 is still significantly smaller than experimentally observed.
With respect to transient liquid bonding, particularly the location of the three-phase field 1+(Ni)+liquid at
1200°C and 1300°C was discussed with respect to the variation obtained in the calculation, when two
different assessments were used for the Al-Ni binary, namely [1997Ans] and [1998Hua].
Based on the thermodynamic assessment [1999Cam], TLP-simulations and experiments were performed by
[2000Cam] monitoring the diffusion path for the TLP bonds in a Ni-10.3Al (at.%) alloy + Ni-10B (at.%)
filler material at 1315°C after isothermal holds of 1, 900, 1800 and 3600 sec. Composition-dependent
diffusion mobilities were assessed for the ternary system. Adjusting the free energy of the 1 phase to yield
its experimentally observed mole fraction, the simulations predicted the observed precipitation and later
dissolution of the 1 phase during the bonding process [2000Cam]. The corresponding calculated
tie-triangle at 1315°C was given as: L(87Ni3Al10B)+ 1(69Ni310Al21B)+(Ni) (92.3Ni6.8Al0.5B) (read
from diagram in at.%).
Notes on Materials Properties and Applications
Low density, high oxidation resistance and unusual yield strength dependence on temperature have raised
considerable interest in boron-doped polycrystalline intermetallic alloys, NiAl and Ni3Al, as high
temperature structural materials. The acute increase in ductility when a small amount of boron (less than
1 at.%) is added to Ni3Al has evoked a series of investigations, which are briefly summarized in the
following. The microstructure of boron-doped N-atomized Ni3Al powders (Ni0.76Al0.24)99.75B0.25 and
(Ni0.76Al0.25)99B1, has been characterized by LOM and REM revealing remarkable variation in
solidification morphology and phase reaction as a function of powder size [1989Hua]: the degree of boron
segregation appeared to be significantly reduced, as the formation of M23B6-boride was suppressed in
powders below 30 m diameter.
Ultimate and yield strength at 20 and 800°C of monocrystalline Ni3Al increase with the B-content to reach
a maximum for 0.52 and 1.37 at.% B, dropping slowly for higher B-contents up to 2.22 at.% [1991Guo].
When the B-content exceeds 1.37 at.%B, a eutectic structure Ni3Al+Ni20Al3B6 was formed [1991Guo]. Arc
melting behavior of continuously cast thin sheet and cast ingots of Ni3Al containing B and Zr was studied
by [1991Li]. The evolution of recrystallization texture in cold rolled Ni76Al24(B) on annealing has been
investigated by [2000Cho] dividing the annealing process into three stages: recovery, reordering and
recrystallization.
Monitoring the distribution of boron in a rapidly solidified alloy, (Ni76B24)99.76B0.24, via atom probe
field-ion microscopy, [1987Hor] found B to segregate to both anti phase boundaries and grain boundaries.
A -0.4 to 1.2 nm thick boron-enriched phase was observed on most of the grain boundaries in a nonuniform
distribution. Microstructure and mechanical properties of rapidly solidified Ni-Al ribbons (68-90 at.% Ni)
with 0, 200, 2000 and 4000 mass ppm B showed absence of antiphase domain boundaries for hypo-eutectic
compositions but a bimodal distribution of APD: for hyper-eutectic compositions [1996Lim]: explanation
was based on the metastable Ni-Al phase diagram. Single crystals of Ni3Al, doped with 0 to 1 at.% B, were
examined by TEM after slight compressive deformation. APB and SISF (superlattice intrinsic stacking
fault) energies were calculated [1991Yan].
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Al–B–Ni
Intergranular segregation of B in Ni3Al was investigated by [1992Cho] in terms of equilibrium segregation
and segregation kinetics on high purity Ni76Al24 alloys containing 0.048, 0.144, 0.240 and 0.480 at.% B,
aged from 600 to 1050°C to attain equilibrium. The energy of binding of a B-atom to the grain boundary
was calculated to be in the range of 0.15-0.45 eV per atom increasing with increasing temperature and
decreasing bulk B-content [1992Cho]. The diffusion coefficient of B in Ni3Al at 500°C was given as 5
10-21m2 s-1, at 700°C between 10-16 and 10-17m2 s-1. The activation energy for diffusion of B in Ni3Al was
reported to be between 200 and 300 kJ mol-1.
Atomistic simulations (EAM= embedded atom method [2001Zhe, 2002Zhe], and LMTO= Linearized
Muffin Tin Orbital method [1990Che] have been employed to study the bulk effects of B on the Ni3Al -xB
grain boundary [2001Zhe, 2002Zhe] proposing that B atoms induce Ni for Al substitution and as a
consequence B for Ni substitution. It was found that when x increases from 0.1 to 1.0 the probability for B
to occupy interstitial sites decreases from 97.3 to 38.8 % whilst substitutional occupancy increases from 2.7
to 61.2 % [2001Zhe, 2002Zhe].
Defect strengthening and solution hardening by the addition of boron to NiAl alloys has been studied by
[1992Jay, 1993Wu, 1993Tan]. The addition of 0.05 mass% B was found to increase the lattice parameter
and the hardness of Ni-rich NiAl, whereas there was no effect for Al-rich NiAl.
The diffusive behavior of B-atoms in Ni3Al (0.98 at.% B) alloys was investigated by positron annihilation:
to achieve moderate segregation of B-atoms to grain boundaries without boride formation, the alloy was
recommended to be cooled in air after anneal at high temperature [1995Li].
Ni20Al3B6 was said to exhibit temperature independent susceptibility down to liquid nitrogen temperatures
[1967Hir]
By reacting compacted powders of 1Ni2B+5Al at 675°C under argon and subsequently dissolving the Al
with 6N KOH, [1966Jah] was able to produce a porous active B-Ni catalyst.
References
[1962Sta1] Stadelmaier, H.H., Fraker, A.C., “The Ni Corner of the Ni-Al-B Ternary System” (in
German), Metall, 16, 212-214 (1962) (Equi. Diagram, Crys. Structure, Experimental, 10)
[1962Sta2] Stadelmaier, H.H., Yun, T.S., “Ternary Borides with the Cr23C6-Structure” (in German),
Z. Metallkd., 53, 754-756 (1962) (Crys. Structure, Experimental, 13)
[1963Sta] Stadelmaier, H.H., Draughn, R.A., Hofer, G., “The Structure of Ternary Borides of the
Cr23C6 Type” (in German), Z. Metallkd., 54, 640-644 (1963) (Crys. Structure,
Experimental, 10)
[1966Jah] Jahnke, H., “Investigations on Nickel Borides from Ternary Nickel-Boron-Aluminium” (in
German), Bosch Technische Berichte, 1, 242-245 (1966) (Experimental, 0)
[1967Hir] Hirota, H., “Magnetic Properties of Borides with a Cr23C6-Type Structure”, J. Phys. Soc.
Jpn., 23(5), 512-516 (1967) (Experimental, Magn. Prop., 7)
[1973Cha] Chaban, N.F., Kuz’ma, Yu.B., “Isothermal Cross Sections of the Systems (Co,Ni)-(Al,
Si)-B”, Inorg. Mater., 9, 1886-1889 (1973), translated from Izv. Akad. Nauk SSSR, Neorg.
Mater., 9, 2136-2140 (1973) (Experimental, Equi. Diagram, Crys. Structure, #, 18)
[1981Ser] Serebryakova, T.I., “Reactions of Transition Metal Diborides with Aluminium”, Sov.
Powder Metall. Met. Ceram. (Engl. Trans.), 20, 705-708 (1981), translated from Poroshk.
Metall., (10), 45-49 (1981) (Crys. Structure, 9)
[1985Sun] Sundmann, B., Jansson, B., Andersson, J.O., “The Thermocalculated Databank System”,
Calphad, 9, 153-159 (1985) (Thermodyn., Calculation)
[1986Hua] Huang, S.C., Briant, C.L., Chang, K.-M., Taub, A.I., Hall, E.L., “Carbon Effects in Rapidly
Solidified Ni3Al”, J. Mater. Res., 1(1), 60-67 (1986) (Experimental, Mechan. Prop., 27)
[1987Hor] Horton, J.A., Miller, M.K., “Atom Probe Analysis of Grain Boundaries in Rapidly
Solidified Ni3Al”, Acta Metall., 35, 133-141 (1987) (Equi. Diagram, Experimental, 22)
[1987Kha] Khadkikar, P.S., Vedula, K., “An Investigation of the Ni5Al3 Phase”, J. Mater. Res., 2(2),
163-167 (1987) (Crys. Structure, Experimental, 7)
71
Landolt-BörnsteinNew Series IV/11A1
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Al–B–Ni
[1988Li] Li, X.Z., Kuo, K.H., “Decagonal Quasicrystals with Different Periodicities along the
Tenfold Axis in Rapidly Solidified Al-Ni Alloys”, Phil. Mag. Let., 58(3), 167-171 (1988)
(Experimental, Crys. Structure, 14)
[1989Ell] Ellner, M., Kek, S., Predel, B., “Ni3Al4 - A Phase with Ordered Vacancies Isotypic to
Ni3Ga4”, J. Less-Common Met., 154(1), 207-215 (1989) (Experimental, Crys. Structure, 26)
[1989Hua] Huang, S.C., Ritter, A.M., “Microstructure of Atomized Ni3Al-B Powder”, J. Mater. Res.,
4, 288-293 (1989) (Equi. Diagram, Experimental, 17)
[1989Sch] Schmid, E.E., “The Al-B-Ni (Aluminum-Boron-Nickel) System”, Bull. Alloy Phase
Diagrams, 10(5), 537-539 (1989) (Assessment, Crys. Structure, Equi. Diagram, 3)
[1990Sch] Schmid, E.E., “Al-B-Ni (Aluminum-Boron-Nickel)”, MSIT Ternary Evaluation Program,
in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart; Document ID: 10.14586.1.20, (1990) (Crys. Structure, Equi. Diagram,
Assessment, 5)
[1990Che] Chen, S.P., Voter, A.F., Albers, R.C., Boring, A.M., Hay, P.J., “Investigation of the Effects
of Boron on Ni3Al Grain Boundaries by Atomistic Simulations”, J. Mater. Res., 5(5),
955-970 (1990) (Calculation, Crys. Structure, Experimental, Mechan. Prop., 62)
[1990Dha] Dharwadkar, S. R., Hilpert, K., Kobertz, D., Venugopal, V., Nickel, H., “Differential
Thermal Analysis and Knudsen Effusion Mass Spectrometry in the Determination of Phase
Equilibrium Diagrams in Nickel-Based Superalloys”, High Temp. Sci., 28, 203-215 (1990)
(Equi. Diagram, Experimental, Phys. Prop., Thermodyn., 19)
[1991Guo] Guo, J., Sun, Ch., Li, H., Zhang, Zh., Tang, Y., Hu, Zh., “Effect of Boron Content on
Mechanical Properties of Monocrystalline Ni3Al”, Mater. Res. Soc. Symp. Proc.:
High-Temp. Ordered Intermetallic Alloys IV, 213, 655-659 (1991) (Experimental, Crys.
Structure, Mechan. Prop., Phys. Prop., 6)
[1991Kim] Kim, Y.D., Wayman, C.M., “Transformation and Deformation Behavior of Thermoelastic
Martensite Ni-Al Alloys Produced by Powder Metallurgy Method” (in Korean), J. Korean
Inst. Met. Mater., 29(9), 960-966 (1991) (Mechan. Prop., Experimental, 15)
[1991Li] Li, H., Chaki, T.K., “Cracking in the Weld Heat-Affected Zone of Continuously Cast Sheet
and Ingot of Ni3Al”, Mater. Res. Soc. Symp. Proc.: High-Temp. Ordered Intermetallic
Alloys IV, 213, 919-924 (1991) (Experimental, 16)
[1991Yan] Yan, W., Jones, I.P., Smallman, R.E., “The Effect of Boron on Dislocations in Ni3Al”, Phys.
Status Solidi A, 125A, 469-479 (1991) (Experimental, 17)
[1992Cho] Choudhury, A., White, C. L., Brooks, C. R., “The Intergranular Segregation of Boron in
Ni3Al: Equilibrium Segregation and Segregation Kinetics”, Acta Metall. Mat., 40(1), 57-68
(1992) (Equi. Diagram, Experimental, Kinetics, Theory, Thermodyn., 41)
[1992Jay] Jayaram, R., Miller, M.K., “An APFIM Analysis of Garin Boundaries and Precipitation in
Boron Doped NiAl”, Surf. Sci., 266, 310-315 (1992) (Experimental, Mech. Prop., 15)
[1992Mur] Murakami, Y., Otsuka, K., Hanada, S., Watanabe, S., “Crystallography of Stress-Induced
B2 7R Martensitic Transformation in a Ni-37.0 at.% Al Alloy”, Mater. Trans., JIM, 33(3),
282-288 (1992) (Crys. Structure, Experimental, 25)
[1992Var] Vardiman, R.G., “Microstructures in Aluminium, Ion Implanted with Boron and Heat
Treated”, Acta Metall. Mater., 40, 1029-1035 (1992) (Crys. Structure, Eperimental, 7)
[1993Kha] Khadkikar, P.S., Locci, I.E., Vedula, K., Michal, G.M., “Transformation to Ni5Al3 in a
63.0 at.% Ni-Al Alloy”, Metall. Trans. A, 24A, 83-94 (1993) (Equi. Diagram, Crys.
Structure, Experimental, 28)
[1993Tan] Tan, Y., Shinoda, T., Mishima, Y., Suzuki, T., “Defect Hardening by the Deviation from
Stoichiometry in NiAl”, J. Jpn. Inst. Metals, 57(2), 220-227 (1993) (Experimental, Crys.
Structure, Mech. Prop., Equi. Diagram, 65)
[1993Wer] Werheit, H., Kuhlmann, U., Laux, M., Lundström, T., “Structural and Electronic Properties
of Carbon-Doped -Rhombohedral Boron”, Phys. Status Solidi, B179, 489-511 (1993)
(Crys. Structure, Phys. Prop., Experimental, 51)
72
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ni
[1993Wu] Wu, T.C., Sass, S.L., “The Influence of Boron Additions on Microstructure of
Stoichiometric NiAl”, Scr. Metall. Mater., 28(10), 1287-1292 (1993) (Experimental, Crys.
Structure, 10)
[1994Dus] Duschanek, H., Rogl, P., “The System Al-B”, J. Phase Equilib., 15(5), 543-552 (1994)
(Crys. Structure, Equi. Diagram, Experimental, #, 78) see also ibid, 16(1), 6 (1995)
[1994Mur] Murthy, A.S., Goo, E., “Triclinic Ni2Al Phase in 63.1 Atomic Precent NiAl”, Met. Mater.
Trans., A, 25A(1), 57-61 (1994) (Crys. Structure, Experimental, 10)
[1995Li] Li, G., Deng, W., Xiong, L. Guo, J. Wang, Z., “Diffusive Behaviour of Boron in Ni3Al
(0.98at.%B) Investigated by Positron Annihilation Technique” (in Chinese), Nucl. Techn.,
18, 148-150 (1995) (Experimental)
[1996Lim] Lima, M.S.F., Ferreira, P.I., “Microstructure and Mechanical Properties of Ni-Al and
Ni-Al-B Alloys Produced by Rapid Solidification Technique”, Intermetallics, 4, 85-90
(1996) (Experimental, Mechan. Prop., Crys. Structure, 19)
[1996Pau] Paufler, P., Faber, J., Zahn, G., “X-Ray Single Crystal Diffraction Investigation on
Ni1+xAl1-x”, Acta Crystallogr. A, A52, C-319 (1996) (Crys. Structure, Experimental, 3)
[1996Vik] Viklund, P., Häußermann, U., Lidin, S., “NiAl3: A Structure Type of its Own?”, Acta
Crystallogr. A, A52, C-321 (1996) (Crys. Structure, Experimental)
[1997Ans] Ansara, I., Dupin, N., Lukas, H.L., Sundman, B., “Thermodynamic Assessment of the Ni-Al
System”, J. Alloys Compd., 247, 20-30 (1998) (Thermodyn., Equi. Diagram, 70)
[1997Bat] Battezzati, L., Antonione, C., Baricco, M., “ Undercooling of Ni-B and Fe-B Alloys and
Their Metastable Phase Diagrams”, J. Alloys Compd., 247(1-2), 164-171 (1997)
(Experimental, Equi. Diagram, 22)
[1997Bou] Bouche, K., Barbier, F., Coulet, A., “Phase Formation During Dissolution of Nickel in
Liquid Aluminium”, Z. Metallkd., 88(6), 446-451 (1997) (Thermodyn., Experimental, 15)
[1997Poh] Pohla, C., Ryder, P.L., “Crystalline and Quasicrystalline Phases in Rapidly Solidified Al-Ni
Alloys”, Acta. Mater., 45, 2155-2166 (1997) (Experimental, Crys. Structure, 48)
[1997Pot] Potapov, P.L., Song, S.Y., Udovenko, V.A., Prokoshkin, S.D., “X-Ray Study of Phase
Transformations in Martensitic Ni-Al Alloys”, Metall. Mater. Trans. A, 28A, 1133-1142
(1997) (Crys. Structure, Experimental, 40)
[1998Hil] Hillebrecht, H., Ade, M., “Al-Atoms Versus B4-Tetrahedra - A Surprising Mode of
Substitution in Tau-Borides Ni20Al3B6 and Ni20AlB14” (in German), Angew. Chem.,
110(7), 981-983 (1998) (Crys. Structure, Experimental, 21)
[1998Hua] Huang, W., Chang, Y. A., “A Thermodynamic Analysis of the Ni-Al System”,
Intermetallics, 6, 487-498 (1998) (Thermodyn., Equi. Diagram, 56)
[1998Rav] Ravelo, R., Aguilar, J., Baskes, M., Angelo, J.E., Fultz, B., Holian, B.L., “Free Energy and
Vibrational Entropy Difference between Ordered and Disordered Ni3Al”, Phys. Rev. B,
57(2), 862-869 (1998) (Thermodyn., Theory, Calculation, 43)
[1998Sim] Simonyan, A.V., Ponomarev, V.I., Khomenko, N.Yu., Vishnyakova, G.A., Gorshkov, V.A.,
Yukhvid, V.I., “Combustion Synthesis of Nickel Aluminides”, Inorg. Mater., 34(6),
558-561 (1998), translated from Neorgan. Mater., 34(6), 684-687 (1998) (Crys. Structure,
Experimental, 12)
[1999Bur] Burkhardt, U., Grin, Y., “Refinement of the Aluminium Diboride Crystal Structure”,
Abstract 13th International Symposium on Boron, Borides and Related Compounds, Dinard,
France, P13, (1999) (Crys. Structure, 3)
[1999Cam] Campbell, C.E., Kattner, U.R., “A Thermodynamic Assessment of the Ni-Al-B System”,
J. Phase Equilib., 20(5), 485-496 (1999) (Assessment, Equi. Diagram, 50)
[2000Hig] Higashi, I., “Crystal Chemistry of -AlB12 and -AlB12”, J. Solid State Chem., 154,
168-176 (2000) (Crys. Structure, Experimental, 18)
[2000Cam] Campbell, C.E., Boettinger, W.J., “Transient Liquid-Phase Bonding in the Ni-Al-B
System”, Metall. Trans. A, 31A, 2835-2847 (2000) (Equi. Diagram, Experimental, 37)
73
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ni
[2000Cho] Chowdhury, S.G., Ray, R.K., Jena, A.K., “Texture Evolution During Recrystallization in a
Boron-doped Ni76Al24 Alloy”, Mater. Sci. Eng. A, A277, 1-10 (2000) (Crys. Structure,
Experimental, Mechan. Prop.)
[2000Hal] Hall, A., Economy, J., “The Al(L)+AlB12 AlB2 Peritectic Transformation and Its Role in
the Formation of High Aspect Ratio AlB2 Flakes”, J. Phase Equilib., 21(1), 63-69 (2000)
(Equi. Diagram, Experimental, 21)
[2001Zhe] Zheng, L.-P., Li, D.-X., Qiu, S., Zhou, W.-J., Jiang, B.-Y., “Dependence of Ni, Al and B
Bondary Concentrations on the B Bulk Concentration for the Ni3Al-x at.% B Grain
Boundary”, Nucl. Instrum. Methods Phys. Res./B, 184, 354-360 (2001) (Experimental,
Phys. Prop., 20)
[2002Zhe1] Zheltov, P., Grytsiv, A., Rogl, P., Velikanova, T.Ya., Research at Univ. Vienna, (2002)
(Equi. Diagram, Crys. Structure)
[2002Zhe] Zheng, L.-P., Li, D.-X., Zhu, Z.-Y., Jiang, W.-Z., Jiang, B.-Y., Liu, X.-H., “Monte Carlo
Simulation Study of the Bulk Effects of Boron on the Ni3Al-x at.% B Grain Boundary”,
Mater. Lett., 56, 65-70 (2002) (Equi. Diagram, Experimental, Phys. Prop., 13)
[2003Gry] Grytsiv, A., Rogl, P., “Aluminium-Boron-Carbon”, MSIT Ternary Evaluation Program, in
MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart, to be published, (2003) (Equi. Diagram, Crys. Structure, Review, 116)
[2003Sal] Saltykov, P., Cornish, L., Cacciamani, G., “Al-Ni (Aluminium-Nickel)”, MSIT Binary
Evaluation Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science
International Services GmbH, Stuttgart; to be published, (2003) (Equi. Diagram, Review,
164)
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
( Al) hP2
P63/mmc
Mg
a = 269.3
c = 439.8
at 25°C, 20.5 GPa [Mas2]
( Al)
< 660.452
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
dissolves 0.01 at.% Ni at 639.9°C
[Mas2]
(Ni)
< 1455
cF4
Fm3m
Cu
a = 352.40 at 25°C [Mas2]
dissolves 20.2 at.% Al at 1385°C [Mas2]
dissolves 0.3 at.% B at 1093°C[Mas2]
( B)
< 2092
hR333
R3m
B
a = 1093.30
c = 2382.52
a = 1096.5
c = 2386.8
a = 1096.15
c = 2385.44
a = 1095.84
c = 2385.46
[Mas2, 1993Wer]
dissolves up to ca 2 at.%Ni at 1035°C
at AlB31 [V-C2]
for NiB48.5 [V-C2]
for NiB 20 [V-C2]
Al2B3
525
hR*
Al2B3 (?)
a = 1840
c = 896
at 60 at.% B [1992Var]
Metastable?
74
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ni
AlB2
956±5
hP3
P6/mmm
AlB2
a = 300.6
b = 325.2
a = 300.67 ± 0.01
b = 325.36 ± 0.02
a = 300.43± 0.03
b = 325.19 ± 0.06
temperature from [2000Hal]
[1994Dus]
[2002Zhe1]
[1999Bur] for Al0.9B2
AlB12
2050
tP216
P41212
AlB12
a = 1015.8
c = 1427.0
a = 1014.93 ± 0.07
c = 1425.0 ± 0.5
[1994Dus]
exp. = 2.65 Mgm-3
[2002Zhe1]
AlB12 oP384
P212121
AlB12
a = 1014.4
b = 1657.3
c = 1751.0
[1994Dus, 2000Hig] metastable phase or
ternary product stabilized by small
amounts of impurity metals present in Al
flux grown material; exp.= 2.56Mgm-3
NiAl3< 856
oP16
Pnma
NiAl3
a = 661.3 ± 0.1
b = 736.7 ± 0.1
c = 481.1 ± 0.1
a = 659.8
b = 735.1
c = 480.2
[1996Vik] [Mas2]
[1997Bou, V-C2]
Ni2Al3< 1138
hP5
P3m1
Ni2Al3
a = 402.8
b = 489.1
36.8 to 40.5 at.% Ni [Mas2]
[1997Bou, V-C2]
Ni3Al4< 702
cI112
Ia3d
Ni3Ga4
a = 1140.8 ± 0.1 [1989Ell, V-C2]
NiAl
< 1651
cP2
Pm3m
CsCl
a = 286.0
a = 287
a = 288.72 ± 0.02
a = 287.98 ± 0.02
42 to 69.2 at.% Ni [Mas2]
[1987Kha]
at 63 at.% Ni [1993Kha]
at 50 at.% Ni [1996Pau]
at 54 at.% Ni [1996Pau]
Ni5Al3< 723
oC16
Cmmm
Pt5Ga3
a = 753
b = 661
c = 376
63 to 68 at.% Ni [1993Kha, Mas2]
at 63 at.% Ni [1993Kha]
Ni3Al
< 1372
cP4
Pm3m
AuCu3
a = 356.77
a = 358.9
a = 356.32
a = 357.92
a = 357.3
73 to 76 at.% Ni [Mas2]
[1986Hua]
at 63 at.% Ni [1993Kha]
disordered [1998Rav]
ordered [1998Rav]
for Ni75Al24B [V-C2]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
75
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ni
Ni2Al9 mP22
P21/c
Ni2Al9
a = 868.5 ± 0.6
b = 623.2 ± 0.4
c = 618.5 ± 0.4
= 96.50 ± 0.05°
Metastable
[1988Li, 1997Poh]
NixAl1-x tP4
P4/mmm
AuCu
m**
a = 383.0
c = 320.5
a = 379.5
c = 325.6
a = 379.5
c = 325.6
a = 375.1
c = 330.7
a = 379.9 to 380.4
c = 322.6 to 323.3
a = 371.7 to 376.8
c = 335.3 to 339.9
a = 378.00
c = 328.00
a = 418
b = 271
c = 1448
= 90°
= 93.4°
= 90°
Martensite, metastable
0.60 < x < 0.68
[1993Kha]
at 62.5 at.% Ni [1991Kim]
at 63.5 at.% Ni [1991Kim]
at 66.0 at.% Ni [1991Kim]
at 64 at.% Ni [1997Pot]
at 65 at.% Ni [1997Pot]
[1998Sim]
[1992Mur]
Ni2Al hP3
P3m1
CdI2
aP126
P1
a = 407
c = 499
a = 1252
b = 802
c = 1526
= 90°
= 109.7°
= 90°
Metastable
[1993Kha]
[1994Mur]
D1 decagonal Metastable [1988Li]
D4 decagonal Metastable [1988Li]
Ni3B
< 1156
oP16
Pnma
Fe3C
a = 521.99
b = 661.46
c = 436.30
a = 530.62
b = 667.50
c = 444.14
at 25°C [V-C2, Mas2]
at 1100°C [V-C2]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
76
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ni
# for a discussion of phase region and equilibrium conditions, see section “Solid Phases”.
Ni2B
< 1125
tI12
I4/mcm
CuAl2
a = 499.1
c = 424.7
[V-C2, Mas2]
o-Ni4B3
< 1025
oP28
Pnma
o-Ni4B3
a = 1195.40
b = 298.15
c = 656.84
at 41.4 at.% B [V-C2, Mas2]
m-Ni4B3
< 1031
mC28
C2/c
m-Ni4B3
a = 642.82
b = 487.95
c = 781.90
= 103.47°
at 43.9 at.% B [V-C2, Mas2]
NiB
< 1035
oC8
Cmcm
CrB
a = 292.9
b = 739.2
c = 296.1
[V-C2, Mas2]
* 1, Ni20Al3B6+x
Ni23B6
cF116
Fm3m
Cr23C6
a = 1048.5
a = 1048
a = 1062
a = 1049.5
a = 1055.2
a = 1048.5 9
a = 1051.10
a = 1051.93
a = 1056.89
a = 1058.95
a = 1059.22
a = 1061.67
-
Ni7.1Al0.8B2.1 [V-C2]
Ni20Al3B6 [1973Cha]; 1000°C
Ni20Al3B12 [1973Cha]; 1000°C
alloy 65Ni10Al25B [1962Sta2]; 800°C#
alloy 60Ni10Al30B [1962Sta2]; 800°C#
Ni20.5Al2.5B6 [1998Hil]
Ni20Al3B6 [1998Hil]
Ni20Al2.7B7 [1998Hil]
Ni20Al2.4B8.4 [1998Hil]
Ni20Al1.1B13.5 [1998Hil]
Ni20Al1.2B13.2 [1998Hil]
Ni20AlB14 [1998Hil]
metastable, [1997Bat]
* 2, Ni5AlB4
800
- - [1973Cha]
* 3, Ni8AlB11(h)
> 800
monoclinic a = 3580
b = 1093
c = 1630
= 112°
[1973Cha], from single crystal rotation
photographs
* 3, Ni8AlB11(r)
800
- - [1973Cha]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
77
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ni
Table 2: Invariant Equilibria (data are only available for the liquid phase)
* calculated data refer to the Al-Ni binary modeled by [1998Hua]; data changed slightly if the model of [1997Ans]
was used; for details see original work by [1999Cam].# values read from small diagram [1962Sta1].
Reaction T [°C]
Experimental,
[1962Sta1]
T [°C]
Calculated,*
[1999Cam]
Type Phase Composition (at.%)
Experimental#Composition (at.%)
Calculated [1999Cam]
Ni Al B Ni Al B
L NiAl+ 1 - - e, max L - - - - - -
L+NiAl Ni3Al+ 1 <1369 1348 U1 L 69 13 18 73.8 24.1 2.1
L (Ni)+ 1 - - e, max L 75 7 18 - - -
L (Ni)+Ni3Al+ 1 <U1 1349 E1 L 69 10 18 75.4 22.5 2.1
L (Ni)+Ni3B+ 1 <1093 1090 E2 L 79 3 18 83.8 0.03 16.2
L NiAl+NiB+ 1 - 692 E3 L 52 10 38 34.2 17.9 47.9
Ni3Al+NiAl+τ
1
Fig. 1: Al-B-Ni. Partial reaction scheme
Al-Ni A-B-C
l + (Ni) Ni3Al
1372 p1
L NiAl + τ1
e (max)
Al-B-Ni
L+NiAl Ni3Al+τ
1<1369 U
1
B-Ni
l Ni3B+Ni
2B
1125 e2
L+(Ni)+Ni3Al
l Ni3Al + NiAl
1369 e1
L (Ni) + τ1
e (max)
L (Ni)+Ni3Al+τ
1< U
1E1
L (Ni)+Ni3B+τ
1<1093 E
2
(Ni)+Ni3Al+τ
1
(Ni)+Ni3B+τ
1
L+Ni3B+τ
1
l (Ni)+Ni3B
1093 e3
L+Ni3Al+τ
1
L+NiAl+τ1
78
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ni
60
70
80
90
10 20 30 40
10
20
30
40
Ni Ni 50.00B 50.00Al 0.00
Ni 50.00B 0.00Al 50.00 Data / Grid: at.%
Axes: at.%
p1
e1
(Ni)
τ
e3
Ni3B
e2
NiAl
Ni3Al
E2
E1
U1
Tmax
max
max max
Fig. 2: Al-B-Ni
Partial liquidus
surface in the Ni-rich
region after
[1962Sta1]
20
40
60
80
20 40 60 80
20
40
60
80
Ni B
Al Data / Grid: at.%
Axes: at.%
AlB12
L
Ni2Al3
NiAl
Ni3Al
(Ni)τ
1
τ3, Ni8AlB11(h)
NiBm-Ni4B3o-Ni4B3Ni2BNi3B
(βB)
Fig. 3: Al-B-Ni.
Isothermal section at
1000°C
79
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ni
20
40
60
80
20 40 60 80
20
40
60
80
Ni B
Al Data / Grid: at.%
Axes: at.%
τ2, Ni5AlB4
τ1
(Ni)
Ni3Al
NiAl
Ni2Al3
NiAl3
L
AlB2
AlB12
NiBm-Ni4B3o-Ni4B3Ni2BNi3B
τ3, Ni8AlB11(r)
(βB)
Fig. 4: Al-B-Ni.
Isothermal section at
800°C
80
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
Aluminium – Boron – Titanium
Anatoliy Bondar
Literature Data
The Al-rich corner in the system has been of great interest due to the fact that Ti and B additions are widely
used as grain refiner in the aluminium casting industry. The extensive literature on the phase relationship
including Al-base phase was repeatedly assessed by Hayes & Lukas [1991Hay, 1990Hay, 1989Hay],
Abdel-Hamid et al. [1986Abd, 1985Abd1, 1985Abd2] and others. However there were some confusions
and contradicting conclusions. The main concern whether the (Ti,Al)B2 solid solution is stable or
metastable. The cogent evidences of [1999Fje, 1999Zup, 1998Zup1, 1998Zup2, 1994Tok] have confirmed
instability of mixed diboride (Ti,Al)B2 in agreement with data of Abdel-Hamid et al. [1986Abd, 1985Abd1,
1985Abd2, 1984Abd] and others. Hayes & Lukas [1991Hay, 1990Hay, 1989Hay] stated that their
computed results show compatibility of the mixed boride phase (Al,Ti)B2 existence with all the
experimental results in the literature. However, their isopleth at 98 mass% Al and 1300°C liquidus isotherm
are not affected by whether the continuous solid solution (Al,Ti)B2 is stable or not.
Fjellstedt et al. [2001Fje, 1999Fje] prepared samples from pure Al (99.998 mass% purity), TiB2 (97 %), and
AlB2 (98 %) in a high-frequency induction furnace. The alloys were heated in Al2O3 crucible at 1530°C for
~1 h, then they were heat treated at 700, 800, and 900°C for 240-600 h. The samples were examined with
optical microscopy and SEM equipped with EDS. Besides, the Ti and B solubility in the (Al) melt was
calculated using a subregular solution model.
Zupanic et al. [1999Zup, 1998Zup1, 1998Zup2] prepared alloys by arc melting in purified Ar and
aluminothermal synthesis at 1050-1100°C. Some alloys were heated and cooled at a rate of 0.1-10 K min-1
from 500 to 1400°C in alumina crucibles. The specimens were annealed at 800 ± 2°C for 1000 h, being put
into alumina crucibles and sealed into evacuated silica tubes, followed by quenching in water bath, as well
as from 650 to 1000°C for 70 h and at 1600°C 10 h followed by cooling at 60 K min–1. The samples were
studied with X-ray powder diffractometer, light microscopy, and SEM (with EDS).
Stolz et al. [1995Sto, 1994Sto] used pure Al of 99.999 mass% purity and commercial master-alloys (~99.7
%). The samples were produced by casting in Ar and heat treated at 577°C for 20 days. They were examined
with XRD, DTA, Auger electron spectroscopy and SEM supplemented with EDS equipment.
Abdel-Hamid et al. [1985Abd1,1985Abd2, 1984Abd] used Al of 99.995 or 99.98 mass% purity, powder B
(99.7 %) and Ti. The samples prepared in the range from 700 to 1000°C were studied by optic microscopy,
SEM (with EPMA), and TEM, as well as melt composition was determined using electromagnetic
separation or decantation.
The Ti-rich alloys were investigated in [2002Art, 1992Gra, 1991Hym, 1991Sch, 1990Hym, 1989Hym, etc.]
not so comprehensively as the Al-rich one. In [2002Art] alloys were studied by methods of metallography,
XRD, DTA, EPMA, microhardness and hot hardness.
Hyman et al. [1991Hym, 1989Hym] studied arc melted and splat-quenched samples made of high-purity Ti
(<200 ppm O), Al (99.99 mass% Al), and nitrogen-free B powder (99.7 %). Optical microscopy, SEM, and
TEM were used to study structure.
In [1991Sch] two samples were studied with TEM using EDX analysis and high-resolution imaging. Flakes
of Ti-25Al-4B and Ti-48Al-5B (at.%) compositions were produced by electron beam melting and splat
quenching, and in addition they were annealed in quartz capsules at 800, 1000, and 1200°C for 1 h.
Binary Systems
The binary systems used were as followed: Al-B [2000Hal, 1994Dus], Al-Ti [1997Zha] and B-Ti
[1986Mur, 1987Mur]. For invariant equilibria of ( Ti), ( Ti) and phases with melt the [1997Zha] data
were used (recently experimentally confirmed for the lp + ( Ti) ( Ti) equilibrium by [1999Jun]).
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Nevertheless, somewhat less Ti contents for the lp + TiAl3 ( Al) equilibrium (0.1 at.% or 0.18 mass% Ti
for lp [2001Fje, 2000Ohn, 1992Kat]) seem to be preferred as more close to experimental data, as well close
to [E], [S], etc.
Solid Phases
No stable ternary phases have been reported. The binary phases, relevant to phase equilibria under
consideration, are listed in Table 1. Hayes & Lukas [1991Hay, 1990Hay, 1989Hay] reported that all of the
experimental evidence to date is consistent with complete solid solubility between AlB2 and TiB2 to form
(Ti,Al)B2. Namely the continuous solid solution (Ti1-xAlx)B2 was found in [1998Joh] to be in commercial
master alloys. This is the case that the mixed diboride (Ti,Al)B2 was synthesised by the reaction of molten
Al 99.99 with K2TiF6 and KBF4 at 750 and 1050°C in [1999Zup]. However, the mixed diboride (Ti,Al)B2
was shown to approach slowly toward the compositions of pure diborides at 800°C. At 800 and 1600°C
apparently pure diborides or TiB2 and AlB12, respectively, are in equilibrium with Al melt. Besides, the
almost pure diborides crystallise from the melt at cooling rates as slow as 0.1°C/min [1999Zup]. The same
result was reported before already in [1984Abd]. Crystallisation was also found in [1999Fje, 1998Zup1] to
yield titanium diboride not richer in Al than (Ti~0.99Al~0.01)B2. In the same time EDS analysis of [1999Fje]
showed that in samples annealed at 800 and 900°C, prepared by melting in crucible at 1630°C, the Al
solubility in TiB2 was on the level of standard deviations (on average 0.11±0.10 at.% Al) and the same was
for AlB12 and AlB2 (on average 0.03±0.02 and 0.05±0.04 at.% Ti). The close EDS data were obtained in
[1998Zup1].
In [1998Zup1] a special study was devoted to the problem of mutual solubility of TiB2 and AlB2. Two
alloys prepared by arc melting were heated and cooled at rates of 0.1-10 K min–1 from 500 to 1400°C in
alumina crucibles. The specimens were annealed at 800 ± 2°C for 1000 h, being put into alumina crucibles
and sealed into evacuated silica tubes, followed by quenching in water bath. In any case the compositions
of Al and Ti rich diborides were quite close to pure TiB2 and AlB2. The situation was not changed even
after annealing at 800°C for 1000 h.
In [1992Gra] conventional and high resolution TEM were applied to study the as-cast alloy
Ti-40.9Al-0.97B (at.%) prepared with arc-melting on water-cooled copper hearth in Ar (< 0.1 ppb O2) using
pure initial materials (the ingot of 35 g mass). Two monoborides were identified as having the FeB and CrB
crystal structure types. The former contains thin layers of the latter and in the latter there were found
nanoscale intergrowths of Ti3B4 and TiB2 of Ta3B4 and AlB2 crystal structure types, respectively. Clear
orientation relationships were revealed in all cases. Examination of sample annealed at 1150°C for 100 h
evidenced that the CrB crystal structure monoboride is metastable. The metastable TiB was postulated in
[1992Gra] to form instead of the stable Ti3B4 and TiB2 due to promoting kinetic factors.
Data on boron solubility in titanium aluminides are rare: [ 1984Sig, 1977Gur] reported unrealistic high
solubility of B in TiAl3 (1 and 8 mass% B, respectively) at unchanged lattice parameters. There is relevant
theoretical consideration [1991Kho] (using linearized combination of muffin-tin orbitals total energy
calculations) that boron atoms in phase should be accommodated substitutionally into aluminium sites.
A sputter deposition of Ti-7Al-7B (at.%) alloy on Ta substrate was single phase, it was identified with TEM
and XRD as metastable fcc structure [1995Loe]. A 900°C annealing yields the TiB dispersion embedded in
a single phase hcp matrix ( Ti).
A rapidly solidified alloy Al-5Ti-0.2B (mass%) contained diboride and metastable TiAl3 intermetallide of
AuCu3 structure type [1994Chu].
Invariant Equilibria
The reaction scheme (Fig. 1 and Table 2) for the Ti rich region is based on data of [2002Art, 1991Hym,
1990Hym]. Then there is a lack for phase fields between + TiB2 and TiAl3 + TiB2. The Al-rich portion
is based on data of [2001Fje, 1998Zup2, 1985Abd1].
The examination of samples in the region Al-TiB2-AlB2, which were annealed at 800 and 900°C, showed
the four-phase invariant equilibrium L + AlB12 AlB2 + TiB2 to be between the above-mentioned
temperatures [2001Fje]. A thermodynamic modelling, where the excess Gibbs energy calculated by
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interpolating between the three binary systems, resulted in 880°C [2001Fje]. It is consistent with
[1998Zup2] where the AlB12 phase was stable at 900°C and its sizes and volume fraction decreased during
annealing at 800°C, with its decomposition being not complete even after 1000 h exposure.
Thus, in the Al-B-Ti system there are two cascades of monovariant and invariant solidification reactions
that are originated in the B-Ti side and quasibinary eutectic e2 and come to the end in the Al-B side (e4
eutectic point at 659.7°C). Besides, as found in [1998Zup2], at conventional cooling rates the AlB2 diboride
does not crystallize and a metastable four-phase equilibrium L + TiB2 ( Al) + AlB12 takes place, which
is involved with a binary metastable three-phase equilibrium l ( Al) + AlB12 at ~655°C.
There are some contrary versions of solidification scheme in the Al-rich corner. As mentioned above Hayes
& Lukas [1991Hay, 1990Hay, 1989Hay] calculated the phase diagram on the assumption of stability of
mixed diboride (Ti,Al)B2. Their temperature of the invariant equilibrium L + TiAl3 ( Al) + TiB2 was
found to be 664.73°C. Stolz et al. [1994Sto, 1995Sto] accepted the diboride (Ti,Al)B2 stability and, basing
on two DTA effects of 660 and 666°C obtained for the three-phase ( Al) + TiB2 + TiAl3 alloys, reported
existence of the ternary peritectic reaction L + TiAl3 + TiB2 ( Al) at 666°C and xTi = 99.942 ± 0.04
mass %. Although these temperature effects are consistent with careful measurements of Bäckerud et al.
[1993Joh, 1991Bae1, 1991Bae2] (obtained as temperatures of incipient solidification and grain growth),
however, the ternary peritectic reaction existence dictates more boron content in solid ( Al) than in Al melt
that seems improbable. Besides, there are DTA data of Maxwell & Hellawell [1972Max], which are lower
only by 1°C, consistent with the L + TiAl3 ( Al) + TiB2 invariant equilibrium proposed (Figs. 1, 4d, and
8). Some other variants are criticized elsewhere [1985Abd1, 1985Abd2].
Liquidus and Solidus Surfaces. Phase Equilibria at Melting (Solidification)
The phase equilibria at alloy melting were reported for the Ti-rich region, from ( Ti) + TiB to +TiB2 phase
fields [2002Art, 1989Hym, 1990Hym, 1991Hym], and for the TiAl3 - TiB2 - AlB12 - Al portion [2001Fje,
1998Zup2, 1989Hay, 1986Sig, 1985Abd1, 1984Sig, 1976Jon].
The Ti-rich solidus surface projection after [2002Art] is presented in Fig. 2 and characterised by the
extensive two-phase ( Ti) + TiB field containing a maximum that corrensponds to the quasi-binary eutectic
Le (Ti~0.8Al~0.2) + TiB at ~1560°C. Close to the B-Ti side the combined eutectic crystallisation of ( Ti)
and TiB phases takes place practically at constant B content (around 7.5-7.0 at.%) (Fig. 3). In the vicinity
of the quasi-binary (Ti~0.8Al~0.2)+TiB eutectic and at higher Al content the liquidus curve of combined
metal-metallide/boride crystallization smoothly goes down to ~1 at.% B at 45-55 at.% Al [1990Hym,
1991Hym]. In what follows the liquidus line reaches as little B content as ~10-4 at.% in the Al-corner
[1989Hay, 1985Abd1].
The above-mentioned data are in agreement with [1991Sch] where a Ti-25Al-4B (at.%) flake sample,
prepared by electron beam melting and splat quenching, contained faceted TiB dispersoids free of Al, which
had distinct orientation with the ( Ti) matrix. The Ti-48Al-5B (at.%) sample prepared in the same manner
was three-phase + 2 + TiB2, with no orientation relationship being found.
Liquidus isotherms of the Al-corner from thermodynamic calculation of [2001Fje, 1989Hay] are shown in
Fig. 4. The TiB2 solubility after [2001Fje] practically follows the dependence
logTi·B2 = A + B/T
(where A and B are constants and T is temperature in K). The [2001Fje] data may be digitised as:
log B = –0.504 logTi + 2.15 – 6820/T
(where Ti and B are in at.%) that gives A = 4.28 and B = –1.36⋅104. After transformation of Ti and B from
at.% to mass % the parameters A = 3.74 and B = -1.36⋅104 are seen to be between the data of Stolz [1995Sto,
1994Sto] (A = 2.70 ± 0.01 and B = –1.27·10-4 ± 1·10-2) and Finch [1972Fin] (A = 5.22 and B = -1.62⋅104)
as well as Hayes and Lukas [1989Hay]. In comparison with the above mentioned, data of Kolesov et al.
[1990Kol] seem to be too overestimed, what is presumably related to the presence of solid TiB2 in molten
Al samples taken for chemical analysis.
As shown in Fig. 4a the liquidus curves of double saturation are so close to the Al-Ti and Al-B sides that
only logarithmic scales enable presentation of phase equilibria in the Al-corner in a single diagram (Fig.
4d). Some features of logarithmic phase diagram were outlined elsewhere [1976Jon]. Here it is worth to
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note that co-lines in a logarithmic phase diagram should connect phase compositions under equilibrium with
a curve (see Fig. 6) instead of straight line (as in Figs. 5 and 7).
The concept of the ( Al) phase solidification becomes clear from Figs. 5 to 9 (along with Figs. 1, 4b and
Table 2). Corrections for instability of the (Ti,Al)B2 continuous solid solution were introduced in Fig. 5
(thick dashed lines), but the overestimated boron solubility in TiAl3 was kept unchanged in both
Figs. 5 and 7.
Isothermal Sections
The 1000°C isothermal section (Fig. 10) was constructed in the Ti-rich portion of the system by Rogl et al.
[1994Rog] based on EPMA data for three alloys levitation melted and annealed at 1000°C for 250 h. Initial
materials were powder Al, Ti (both of 99.9 mass% minimum purity), and B of 99.8 mass% purity.
[1994Tok] reported equilibrium at 1100°C between 2, TiB and TiB2 (X-ray and EPMA data), repeating
the 1000°C section of [1994Rog].
Data of [1964Rie] on phase equilibria at 1200°C are rather scarce, negligible solubility of B in titanium
aluminides and Al in titanium borides and existence of the TiB2 + TiB + (Ti) phase field.
In [1991Sch] Ti-25Al-4B and Ti-48Al-5B (at.%) samples, produced by electron beam melting and splat
quenching followed by annealing in quartz capsules at 800, 1000, and 1200°C for 1 h, contained 2+TiB
(the former) and +TiB2+ 2 (the latter) in agreement with [1994Rog, 1994Tok].
In [1999Li] an alloy Ti-46Al-0.1B (at.%) was studied in the temperature range 1000 to 1250°C. A 0.1 at.%
B addition was found to bias the ( 2)/ ( 2) + and ( 2) + / boundaries to the Al-rich side by ~0.5
at.%, with decreasing the ( Ti) 2 + equilibrium by 18°C.
Temperature – Composition Sections
A vertical section at constant 98 mass% Al (Fig. 11) was calculated in [1989Hay] on the two assumptions
of two separate diborides and mixed diboride (Ti,Al)B2, respectively. The only difference is: in the case of
mixed diboride the field L+TiB2+AlB2 does not exist, and liquid Al coexist with either the mixed diboride
(Al,Ti)B2 or the two separate diborides TiB2 and AlB2, respectively. The metastable section TiB2 - AlB2
was constructed in order to explain qualitatively experimental data [1998Zup1, 1998Zup2] (Fig. 12) and
takes into account the absence of AlB2 in as-cast alloys.
Thermodynamics
Thermodynamic modeling in the Al-B-Ti system was restricted to equilibria of Al-based phases (solid and
liquid) [2001Fje, 1991Hay, 1994Sto, 1995Sto, 1990Hay, 1989Hay, 1986Sig, 1984Sig, 1976Jon]. Only
Sigworth’s work [1986Sig] took into consideration a parameter of interaction between Ti and B as = 1500
(at 820°C). The parameter influence may be seen in Fig. 7. In other works an interpolation between the
three binary systems was applied. Thermodynamic parameters used in [2001Fje] are represented in Tables
3 and 4.
Notes on Materials Properties and Applications
In situ titanium matrix composites reinforced with TiB were produced in [1991Sob, 1994Sob] using
plasma-arc-melting/centrifugal atomization. Powders were compacted by heating at 1065°C for 2 h
followed by extrusion. Composites contained 0.11-0.12 mass% O, 0.07-0.13 mass% C, 0.005-0.027 mass%
N, and 11-29 ppm H. Their tensile properties are presented in Table 5.
In [2002Art] Vickers hardness was measured on as-cast eutectic and hypoeutectic (Ti) + TiB alloys. A
marked growth of hardness was found with Al alloying. The difference in the hardness of the alloy
Ti79.7Al12.8B7.5 and the binary Ti92.5B7.5 eutectic is about 2 GPa in the temperature interval from RT to
600°C. At 800°C this difference is smaller (~0.5 GPa) but still four times higher then in the basic
binary alloy.
Al-based in-situ composites reinforced with TiB2 particles were recently reviewed by Tjong & Ma
[2000Tjo]. Stir casting technique was used in [2000Tee] to produce in-situ aluminium matrix composite,
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containing ( Al) + TiB2 + TiAl3. Elemental Ti of 99.5 mass% purity and B of 99.5 mass% in stoichiometric
composition corresponding to 15 vol.% TiB2 were added to molten Al at 1040°C (18 min. exposition) and
1080°C (12 min.). Its room temperature tensile properties were as UTS = 225 MPa, 0.2% y = 167 MPa,
Young modulus E = 85 GPa, and elongation of 3.4 %. Aluminium matrix composite reinforced by TiB2 (as
well as by oxides Al2O3 and TiO2) was obtained via the in situ reaction Al + TiO2 + B2O3 Al2O3 + TiB2
[2001Lue].
In [2000Lu] a Ti66.3Al18.7B15 powder mixture was blended via MA (mechanical alloying) technique. Along
with elemental Ti and Al, a number of phases ( , 2, TiAl3, TiB, and TiB2) were detected after MA and
annealing at 720 and 850°C. The analogical technique, MA followed by HIP, was used to prepare
composites TiAl - (0, 10, 15, and 20 ) vol.% TiB2 in [1999Och] (for all the samples strain rate sensitivity
exponent was 0.3 at 1100°C).
Miscellaneous
Boron additions from ~0.03 to 0.1-0.2 at.% had an influence on lamellar formation on TiAl alloys
[2002Zha].
In [1996Har] Al-Ti-B alloys suitable for Al grain refining were obtained from oxide precursors, B2O3 and
TiO2 by reduction with Al in the presence of cryolite.
The grain refinement of Al alloys with Al-Ti-B master-alloys has been extensively studied for more than a
half of century. Detailed review of experimental results and a number of theories to explain them (in
particular, cumulative action of TiB2 and excess Ti) are out of the frame of the present issue and they are in
detail described elsewhere [1999Eas1, 1999Eas2, 1998Sch, 1995Moh, 1993Joh, 1991Bae1, 1991Bae2].
Only modern experimental observations and theoretical justifications are outlined below.
As shown AlB2 is a weak grain refiner for unalloyed aluminium alloys. Furthermore, a grain refinement test
showed that boride particles with a wide distribution in both composition (being on average at [Ti]/[B] <
2.2 in mass%) and size give a poorer grain-refining effect [1998Joh]. On the other hand, intermetallide
TiAl3 is accepted as strong refiner, although some doubts are cast whether it acts alone, even in quite pure
Al alloys. So, the TiB2 nucleant was revealed by SEM study (using EDS) in an Al-0.115 mass% Ti alloy
produced of Al of 99.99 mass% purity containing 5·10-5 mass% B as contamination, where Ti was
introduced from K2TiF6 (data could not themselves exclude (Ti,Al)B2 mixed diboride) [2002Mik1].
Data on grain refining efficiency of pure TiB2 have no single meaning, although an Al-2.2Ti-1B (mass%)
master alloy is taken for granted to be inefficient refining addition for unalloyed Al. Introduction of
synthetic TiB2 crystals shows that they do not nucleate Al grains alone [1995Moh]. In presence of excess
0.01 mass% Ti, effectiveness of the same TiB2 crystals was observed and TiAl3 was detected at excess 0.05
mass% Ti.
So, the cumulative refining effect of TiB2 and excess Ti is established unambiguously. An Al-5Ti-1B
(mass%) master alloy is accepted as the most effective in Al grain refining. As found in [1993May] (TEM,
scanning Auger microscopy, etc.) it contains duplex aluminide TiAl3 particles as either rough or faceted
blockies and entrained diboride platelets.
Incipient Ti content ensuring acceptance level of refinement for Al grains was found to be much below the
binary Al-Ti peritectic composition (0.1 at.% Ti or 0.18 mass% Ti [2000Ohn]), depending on the purity
of Al:
[2000Mik] found that ~0.05 mass% Ti (from K2TiF6) has sufficient effect for 99.7 % purity Al (~2 10-4
mass% B as contamination);
an Al-5Ti-1B (mass%) addition becomes effective at 0.1 % content, e.i. at ~0.005 mass% Ti and ~0.001
mass% B (~0.003 at.% Ti and ~0.002 at.% B) for 99.7 % purity Al [1976Jon, 2000Mik];
in [1999Eas2] aluminium of 99.97 mass% purity was refined at 0.01 mass% Ti and 0.03 mass % TiB2
(demonstrating cumulative action as addition of only Ti needs 0.055 mass%);
an analogical result was obtained in [1992Joh] where master alloys Al-4.8Ti-1B, Al-5.3Ti-0.1B, and
Al-6.2Ti-0.003B (mass%) added to Al of 99.995mass% purity showed effectiveness in increasing order of
boron content (the 0.5% addition of the Al-5Ti-1B master alloy effectively refines the 99.995 % Al, 0.025
mass% Ti and 0.005mass% B [1991Bae2]).
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The results obtained and reviewed were considered by Mohanty & Gruzleski [1995Moh] as experimental
validation of the hypernucleation theory of Jones [1988Jon], which suggests that excess titanium segregates
in the TiB2/melt interface and results in precipitation of a thin layer of TiAl3 and hence activation of the
TiB2 refining ability. Really, such a TiAl3 interlayer was observed between the surface of TiB2 particles
and ( Al) phase in [1998Sch], where a Al85Y8Ni5Co2 alloy containing Al-4.5Ti-1.8B (mass%) refiner and
excess Ti up to ~0.1 at.% was studied with TEM after rapid quenching from 1300°C (along with the three
phases, the samples contained an amorphous matrix). In the three phases the close packed planes (and
corresponding directions) were reported to be parallel: {0001}TiB2||{112}TiA3||{111}( Al). Based on these
data Schumancher et al. [1998Sch] proposed a duplex nucleation theory, per se being concretization of
Jones’ hypernucleation theory. In [2001Mik], however, an intermediate layer of ~10 nm thickness, detected
at the boundary between ( Al) and intermetallide of composition (Ti0.8Zr0.2)0.22Al0.78, was found to be
close to amorphous (in an alloy Al-0.24Ti-0.18Zr (mass%) prepared from Al of 99.7 mass% purity).
In light of the necessity of excess titanium regarding the TiB2 stoichiometry, it is appropriate to mention
here that the TiB2 particles are poorly wetted by molten Al, the contact angle was measured to be 114° at
1000°C in vacuum or Ar [1966Yas]. A slightly different result was reported by [1972Sam]: 98° at 900°C
in vacuum.
Another interpretation of the role of excess Ti was proposed in [1999Eas1, 1999Eas2, 1996Sig, 1993Joh,
1992Joh] involving crystal growth stage. The solute titanium is required to slow down the growth of ( Al)
grains. So, Easton & StJohn [1999Eas1, 1999Eas2] state that the excess Ti provides constitutional
undercooling in front of the growing interface so that in the constitutionally undercooled layer further
nucleation can take place more easily. At high ratio Ti/B the Ti partition was found to be similar in the
binary Al-Ti and ternary Al-B-Ti systems [2002Mik2]. The EMPA data of [2002Mik2] for an Al-0.053
mass% Ti as-cast alloy produced of Al of 99.7 mass% purity (that suggests B contamination of ~2 10-4
mass%, e.i. in total 0.030 at.% Ti and ~5 10-4 at.% B; solidification at cooling rate of 1 K/s) point out that
the maximum Ti content reaches 0.33 mass% Ti (0.19 at.%) inside ( Al) grains. Concerning the
constitutional undercooling resulting from the action of excess Ti, Jones & Pearson [1976Jon] estimated it
for the binary Al-Ti alloys as ~0.07 K that means its effect should play a secondary part.
Thus, the hypernucleation theory of Jones [1988Jon] seems to get experimental validation. Concerning
arguments of Sigworth [1996Sig] against the theory, they would not have seemed so forcible if the author
had used the ternary phase diagram instead of treating data for ternary and even more multicomponent
alloys with the Al-Ti binary one. Just what is required to be taken into consideration is the appropriate phase
diagram at solidification of Al alloys (in the manner of [1986Sig], [1976Jon], [1975Max], [1971Mar] and
others). And in the case of “a peritectic metastable reaction” of [1993Joh], which “can occur a few degrees
above the stable peritectic point” (relatively to the binary Al-Ti system), it turns out to be a phase
transformation between ternary solidus and liquidus surfaces. Although the state of the art Al-B-Ti phase
diagram is far from perfection, it appears to be applicable in treating data on grain refinement of Al with
Ti+B additions in most cases.
References
[1964Rie] Rieger, W., Nowotny, H., Benesovsky, F., “Investigations in the Systems Transition Metal
(T) – Boron - Aluminium” (in German), Monatsh. Chem., 95(4-5), 1417-1422 (1964) (Equi.
Diagram, Crys. Structure, Experimental, 11)
[1966Yas] Yasinskaya, G.A., “The Wetting of Refractory Carbides, Borides and Nitrides by Molten
Metals”, Sov. Powder Metall Met. Ceram. (Engl. Transl.), 43 (7), 557-569 (1966); translated
from Poroshkov. Metall., (7), 53-56 (1966) (Phys. Prop., Experimental, 5)
[1971Mar] Marcantonio, J. A., Mondolfo, L. F., “Grain Refinement in Al Alloyed with Titanium and
Boron”, Metall. Trans., 2, 465-471 (1971) (Equi. Diagram, Experimental, Review, 13)
[1972Fin] Finch, N. J., ”The Mutual Solubility of Titanium and Boron in Pure Aluminium”, Metall.
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[1972Max] Maxwell, I., Hellawell, A., ”The Constitution of the System Al-Ti-B with Reference to
Aluminum-Base Alloys”, Metall. Trans., 3(6), 1487-1493 (1972) (Crys. Structure, Equi.
Diagram, Experimental, 11)
[1972Sam] Samsonov, G.V., Panasyuk, A.D., Borovikova, M.S., “Wettability of Borides of IVa-VIa
Subgroups Metals with Molten Metals”, in “Wettability and Surface Properties of Melts and
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(Phys. Prop., Experimental, 7)
[1975Max] Maxwell, I., Hellawell, A., ”An Analysis of the Peritectic Reaction with Particular
Reference to Al-Ti Alloys”, Acta Metall., 23(8), 901-909 (1975) (Equi. Diagram,
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[1976Jon] Jones, G. P., Pearson, J., “Factors Affecting the Grain-Refinement of Aluminum Using
Titanium and Boron Additives”, Metall. Trans. B, B7, 223-234 (1976) (Equi. Diagram,
Thermodyn., Phys. Prop., Calculation, Experimental, Review, 12)
[1977Gur] Gurin, V.N., Korsukova, M.M., Popov, V.E., Elizarova, O.V., Belousov, N.N., Kuz’ma,
Yu.B., “Solid Solutions of B, C, and Si in Transition Metal Aluminides”, in “Monocrystals
of Refractory and Rare Metals, Alloys, and Compounds” (in Russian), Tananayev, I.V. et
al. (Eds.), Nauka, Moscow, 39-42 (1977) (Equi. Diagram, Crys. Structure, Experimental, 6)
[1984Abd] Abdel-Hamid, A., Hamar-Thibault, S., Durand, F., “Nature and Morphology of Crystals
Rich in Ti and B in Al-rich Al-Ti-B alloys” (in French), J. Cryst. Growth, 66, 195-204
(1984) (Equi. Diagram, Crys. Structure, Experimental, 19)
[1984Sig] Sigworth, G. K., “The Grain Refining of Aluminum and Phase Relationships in the Al-Ti-B
System”, Metall. Trans. A, A15(2), 277-282 (1984) (Equi. Diagram, Thermodyn.,
Calculation, Review, 28)
[1985Abd1] Abdel-Hamid, A., Durand, F., ”Liquid-Solid Equilibria of Al-Rich Al-Ti-B Alloys. Part I:
Nature of the Four- and Three-Phase Reactions”, Z. Metallkd., 76(11), 739-743 (1985)
(Equi. Diagram, Experimental, Review, 31)
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Nature of the Four- and Three-Phase Reactions”, Z. Metallkd., 76(11), 739-743 (1985) (31)
(Equi. Diagram, Experimental, Review, 31)
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Relationships in the Al-Ti-B System”, Metall. Trans. A, A17, 349 (1986) (Equi. Diagram,
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87
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
[1990Hym] Hyman, M., Ph.D. Thesis, Univ. of California (1990); quoted from [1992Gra]
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Refining Performance of Ti-Al-B Master Alloys”, Mater. Sci. Technol, 9, 97-103 (1993)
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[1994Bra] Braun, J., Ellner, M., Predel, B., “On the Structure of the High Temperature Phase
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88
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
[1994Rog] Rogl, P., Bauer, J., Bohn, M., “On the Phase Relations in the Al-B-Ti Ternary System”,
Annual Report COST 507 II, Group A, 1994, 1-10 (1994) (Equi. Diagram, Experimental,
10)
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TiB Whisker-Reinforced in Situ Titanium Matrix Composites”, Acta Metall. Mat., 42(8),
2579-2591 (1994) (Mechan. Prop., Experimental, 25)
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Aluminium-Titanium-Boron Alloys and Determination of Mixing Enthalpy of Liquid
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Diagram, Crys. Structure, Experimental, Review, 151)
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the CALPHAD XXIII-CAMSE 94 Meeting”, Calphad, 18(4), 337-368 (1994) (Equi.
Diagram, Experimental, 0)
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FCC Solid Solution During Sputter Deposition of Ti-Al-B Alloys”, Mater. Sci. Eng. A, 202,
188-192 (1995) (Crys. Structure, Experimental, 18)
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Metal. Mater., 43(5), 2001-2012 (1995) (Crys. Structure, Phys. Prop., Experimental,
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- Solubility of TiB2 in Aluminium Melts”, Aluminium, 71(3), 350-355 (1995) (Equi.
Diagram, Crys. Structure, Experimental, 20)
[1996Har] Hardman, A., Hayes, F. H., “Al-Ti-B Grain Refining Alloys from Al, B2O3 and TiO2”, Mat.
Sci. Forum, 217-222, 247-252 (1996) (Phys. Prop., Experimental, 7)
[1996Sig] Sigworth, K., “Communication on Mechanism of Grain Refinement in Aluminum”, Scr.
Mater., 34(6), 919-922 (1996) (Phys. Prop., Review, 12)
[1997Zha] Zhang, F., Chen, S.L., Chang, Y.A., Kattner, U.R., “A Thermodynamic Description of the
Ti-Al System”, Intermetallics, 5, 471-482 (1997) (Equi. Diagram, Thermodyn.,
Experimental, Assessment, 45)
[1998Joh] Johnsson, M., Jansson, K., “Study of Al1-xTixB2 Particles Extracted from Al-Ti-B Alloys”,
Z. Metallkd., 89(6), 394-398 (1998) (Phys. Prop., Experimental, 19)
[1998Sch] Schumancher, P., Greer, A.L., Worth, J., Evans, P.V., Kearns, M.A., Fisher, P., Green,
A.H., “New Studies of Nucleation Mechanisms in Aluminium Alloys: Implications for
Grain Refinement Practice”, Mater. Sci. Technol., 14, 394-404 (1998) (Equi. Diagram,
Crys. Structure, Experimental, 46)
[1998Zup1] Zupanic F., Spaic, S., Krizman, A., “Contribution to Ternary System Al-Ti-B Part 1: Study
of Diborides Present in the Aluminium Corner”, Mater. Sci. Technol., 14, 601-607 (1998)
(Equi. Diagram, Crys. Structure, Experimental, 16)
[1998Zup2] Zupanic, F., Spaic, S., Krizman, A., “Contribution to Ternary System Al-Ti-B Part 2 - Study
of Alloys in Al-AlB2-TiB2 Triangle”, Mater. Sci. Technol., 14(2), 1203-1212 (1998) (Equi.
Diagram, Crys. Structure, Experimental, Review, 24)
[1999Eas1] Easton, M., StJohn, D., “Grain Refinement of Aluminium Alloys: Part I. The Nucleant and
Solute Paradigms - A Review of the Literature”, Metal. Mater. Sci. A, A30, 1613-1623
(1999) (Phys. Prop., Review, 79)
[1999Eas2] Easton, M., StJohn, D., “Grain Refinement of Aluminium Alloys: Part II. Confirmation of,
and a Mechanism for, the Solute Paradigm”, Metal. Mater. Sci. A, A30, 1625-1633 (1999)
(Phys. Prop., Experimental, Review, 23)
[1999Fje] Fjellstedt, J., Jarfors, A.E.W., Svendsen, L, “Experimental Analysis of the Intermediary
Phases AlB2, AlB12 and TiB2 in the Al-B and Al-Ti-B Systems”, J. Alloys Compd., 283,
192-197 (1999) (Equi. Diagram, Crys. Structure, Experimental, 27)
89
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
[1999Jun] Jung, I.-S, Kim, M.-C., Lee, J.-H., Oh, M.-H., Wee, D.-M., “High Temperature Phase
Equilibria near Ti-50 at% Al Composition in Ti-Al System Studied by Directional
Solidification”, Intermetallics, 7, 1247-1253 (1999) (Equi. Diagram, Experimental, 20)
[1999Li] Li, J., Zong, Y., Hao, Sh., “Effects of Alloy Elements (C, B, Fe, Si) on the Ti-Al Binary
Phase Diagram”, J. Mater. Sci. Technol., 15(1), 58-62 (1999) (Equi. Diagram,
Experimental, 12)
[1999Och] Ochiai, S., “High Temperature Deformation Properties of Hip Processed Titanium
Boride-Titanium Aluminide”, Metal Powder Rep., (1), 36 (1999) (Mechan. Prop.,
Experimental, 0)
[1999Zup] Zupanich, F., Spaic, S., “Transformation of Diborides in Al-Ti-B Alloys Prepared by an
Aluminothermic Synthesis”, Metall., 53(3), 125-130 (1999) (Equi. Diagram, Crys.
Structure, Experimental, 20)
[2000Hal] Hall, A., Economy, J., “The Al(L) + AlB12 - AlB2 Peritectic Transformation and its Role in
the Formation of High Aspect Ratio AlB2 Flakes”, J. Phase Equilib., 21(1), 63-69 (2000)
(Equi. Diagram, Experimental, 21)
[2000Hig] Higashi, I., “Crystal Chemistry of -AlB12 and -AlB12”, J. Solid State Chem., 154,
168-176 (2000) (Experimental, Crys. Structure, 18)
[2000Lu] Lu, L., Lai, M.O., Wang, H. Y., “Synthesis of Titanium Diboride TiB2 and Ti-Al-B Metal
Matrix Composites”, J. Mater. Sci., 35, 241-248 (2000) (Phys. Prop., Experimental, 17)
[2000Mik] Mikhalenkov, K.V.; Lysenko, S.I.; Reif, W., “Grain Refinement of Aluminium with
Titanium, Zirconium, and Ternary Master-Aloys AlTiB and AlTiC. Part 1” (in Rusian),
Casting Processes, (2), 21-31 (2000) (Phys. Prop., Experimental, 15)
[2000Ohn] Ohnuma, I., Fujita, Y., Mitsui, H., Ishikawa, K., Kainuma, R., Ishida, K., “Phase Equilibria
in the Ti-Al Binary System”, Acta Mater., 48, 3113-3123 (2000) (Equi. Diagram, Crys.
Structure, Thermodyn., Experimental, Assessment, 37)
[2000Tee] Tee, K.L., Lu, L., Lai, M.O., “In-situ Stir Cast Al-TiB2 Composite: Matrix Modification”,
Z. Metallkd., 91(3), 251-257 (2000) (Mechan. Prop., Experimental, 17)
[2000Tjo] Tjong, S.C., Ma, Z.Y., ”Microstructural and mechanical characteristics of in situ metal
matrix composites”, Mater. Sci. Eng. A, 29, 49-113 (2000) (Mechan. Prop., Review, 219).
[2001Bra] Braun, J., Ellner, M., “Phase Equilibria Investigations on the Aluminium-Rich Part of the
Binary System Ti-Al”, Metall. Mater. Trans. A, A32, 1037-1048 (2001) (Equi. Diagram,
Crys. Structure, Experimental, 34)
[2001Fje] Fjellstedt, J., Jarfors, A.E.W., “Experimental and Theoretical Study of the Al-Rich Corner
in the Ternary Al-Ti-B System and Reassessment of the Al-Rich Side of the Binary Al-B
Phase Diagram”, Z. Metallkd., 92(6), 563-571 (2001) (Equi. Diagram, Thermodyn.,
Experimental, Calculation, Review, 36)
[2001Lue] Lü, L., Lai, M.O., Su, Y., Teo, H.L., Feng, C.F., “In Situ TiB2 Reinforced Al Alloy
Composites”, Scr. Mater., 45, 1017-1023 (2001) (Mechan. Prop., Experimental, 12)
[2001Mik] Mikhalenkov, K.V., Reif, W., “Experimental Observation of the Boundary Between
Nucleating Center and Aluminum Matrix” (in Russian), Metallofiz. Noveishie Technol.,
23(4), 1049-1055 (2001) (Crys. Structure, Experimental, 6)
[2002Art] Artyukh, L.V., Bilous, O.O., Bondar, A.A., Borysov, D.B., Burka, M.P., Martsenyuk, P.S.,
Tsyganenko, N.I., Shapoval, T.A., “Phase Equilibria in the Ternary System Ti-Al-B and
High-Temperature Strength of Alloys” in “Science for Materials in the Frontier of
Centuries: Advantages and Challenges”, International Conference, Kyiv (Ukraine), 102
(2002) (Equi. Diagram, Experimental, 0)
[2002Mik1] Mikhalenkov, K.V., “Partition of Titanium at Crystallization of Aluminium” (in Russian),
Casting Processes, (2), 37-41 (2002) (Equi. Diagram, Experimental, 11)
[2002Mik2] Mikhalenkov, K.V., Reif, W., “Grain Refinement of Aluminium at Hypoperitectic
Additions of Titanium” (in Russian), Theory and Practice Metallurgy, 2, 6-13 (2002) (Equi.
Diagram, Crys. Structure, Experimental, 14)
90
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
[2002Riz] Rizzoli, C., Salamakha, P.S., Sologub, O.L., Bocelli, G., “X-Ray Investigation of the
Al-B-N Ternary System”, J. Alloys Compd. 343, 135-141 (2002) (Experimental, Crys.
Structure, 28)
[2002Zha] Zhang, W.J., Deevi, S.C., “An Analysis of the Lamellar Transformation in TiAl Alloys
Containing Boron”, Mater. Sci. Eng. A, A337, 17-20 (2002) (Phys. Prop., Experimental, 25)
Table 1: Crystallographic Data of Solid Phases
Phases/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/Referenses
( Al)
< 665
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
Temperature from [1997Zha] at 0.8 at.%
Ti
( B)
<2092
hR333
R3m
B
a = 1093.30
c = 2382.52
[Mas2, 1993Wer]
( Ti)
< 1490
hP2
P63/mmc
Mg
a = 295.06
c = 468.35
[Mas2]
( Ti)
1670- 882
cI2
Im3m
W
a = 330.65 [Mas2]
AlB2
980 to <400
hP3
P6/mmm
AlB2
a = 300.5
c = 325.7
[2002Riz]
AlB12
2050 to <500
tP216
P41212
AlB12
a = 1016.1
c = 1428.3
[2000Hig]
2, Ti3Al
< 1166
hP8
P63/mmc
Ni3Sn
a = 577.5
c = 465.5
[V-C2]
, TiAl
< 1463
tP4
P4/mmm
AuCu
a = 400.0
c = 407.5
a = 398.4
c = 406.0
at 50.0 at.% Al [2001Bra]
at 62.0 at.% Al [2001Bra]
TiAl2< 1215
tI24
I41/amd
HfGa2
a = 397.0
c = 2497.0
[2001Bra]
TiAl3 (h)
1387-735
tI8
I4/mmm
TiAl3(h)
a = 384.9
c = 860.9
[2001Bra]
TiAl3 (l)
< 950 (Ti-rich)
tI32
I4/mmm
TiAl3 (l)
a = 387.7
c = 3382.8
[2001Bra]
TiAl3metastable
cP4
Pm3m
AuCu3
a = 397.2 0.1 [1994Bra, 1994Chu]
91
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
Table 2: Composition of Liquid in Invariant Equilibria in the Al-B-Ti System
TiB
< 2180
oP8
Pnma
FeB
a = 610.5
b = 304.8
c = 454.2
[1987Mur]
TiB
Metastable
oC8
Cmcm
CrB
[1992Gra]
Ti3B4
< 2200
oI14
Immm
Ta3B4
[1987Mur]
TiB2
< 3225
hP3
P6/mmm
AlB2
a = 302.8 to 304.0
c = 322.8 to 323.4
a = 303.006
c = 323.009
for the binary system binary [1987Mur]
for the ternary Al-40B-17.5Ti (mass%)
as-cast alloy [1998Zup1]
(Ti1-xAlx)B2
metastable
hP3
P6/mmm
AlB2
a = 302.64 0.05
c = 323.18 0.09
(extracted from
Al-2.6Ti-1.4B
(mass%) master
alloy [1992Joh]
0 x 1, metastable [1999Fje,
1999Zup, 1998Zup1, 1998Zup2,
1994Tok, 1986Abd, 1985Abd1,
1985Abd2]
Ti86Al7B7
metastable
fcc a = 421.0(2) [1995Loe]
Equilibrium T [°C] Point in
Fig. 1
Composition of liquid (at.%) Comments/
ReferencesAl Ti B
L +( B) AlB12 + TiB2 unknown U1 unknown presumably
T<2050°C
L ( Ti) + TiB ~1560 e2 20 34.5 5.5 [2002Art]
L + TiB Ti3B4 + ( Ti) <1545 U2 44 54.6 1.4 [1990Hym]
L + Ti3B4 TiB2 + ( Ti) below U2 U3 45 53.7 1.3 [1990Hym]
L + ( Ti) ( Ti) + TiB2 below U3 U4 49 50 1.0 [1991Hym]
L + ( Ti) + TiB2 below U4 U5 55.5 43.8 0.7 [1991Hym]
L + Ti5Al11 TiAl3(h) + TiB2 <1393 U6 unknown presumably T
is ~1390°C
L + AlB12 AlB2 + TiB2 880 U7 to balance ~4·10-6 ~2.5 [2001Fje,
1998Zup2]
L + TiAl3(h) ( Al) + TiB2 ~664.5 U8 to balance
to balance
~0.08
0.1015
6.7·10-5
1.8·10-5[1985Abd1]
[1989Hay]
L + TiB2 ( Al) + AlB2 ~660 U9 to balance 6.7·10-6 ~0.06 [1985Abd1]
L + TiB2 ( Al) + AlB12 655 meta-
stable
to balance ~4·10-6 0.05 [1998Zup2]
Phases/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/Referenses
92
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
Table 3:Thermodynamic Stability of Phases Being in Equilibrium with Solid and Liquid Aluminium
Phases [2001Fje]
Table 4: Optimised Parameters for Al-rich Melt [2001Fje]
Table 5: Tensile Properties of Titanium Matrix Composites at 25°C [1994Sob, 1991Sob]
Reaction (Standard State) 0Gf (J mol)–1
Al(l) + 2( B) AlB2 –119007 + 63.3886 T
Al(l) + 12( B) AlB12 –286607 + 8.76206 T
Ti(hcp) + 2( B) TiB2 –331761 + 22.9143 T
3Al(l) + Ti(hcp) TiAl3 –185871 + 64.5540 T
Liquid 0Li, j1Li, j
2Li, j
(Al,B) –394.627 – 2.02086 T 19322.4 10486.3
(Al,Ti) –196807 + 54.0763 T 73896.5
(Ti,B) –160670 – 37.3860 T –152116 + 47.0434 T
Composition
(mass%)
Annealed at 704°C for 24 h Annealed at 1200°C for 1 h
plus at 600°C for 24 h
Annealed at
815°C for
24 h
Yield
Stress
[MPa]
Elon-
gation
(%)
Modulus
E
[GPa]
K1c
[MPa m1/2]
Yield
Stress
[MPa]
Elon-
gation
(%)
K1c
[MPa m1/2]
K1c
[MPa m1/2]
Ti-6Al-0.5B 1055 8.1 135 38 896 3 57 42
Ti-6Al-1B 1158 1.5 142 23 68 16.5
Ti-7.5Al-1B 1241 0 17 1241 3.5 22.5 20
93
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
Fig
. 1:
Al-
B-T
i. R
eact
ion s
chem
e at
soli
dif
icat
ion o
f al
loys
[2002A
rt,
2001F
je,
1991H
ym
, 1990H
ym
, 1985A
bd1]
B-T
iA
l-T
iA
l-B
Al-
B-T
i
l +
(βT
i) (
αTi)
1490
p4
l(β
B)
+ T
iB2
2080
e 1
L +
TiB
T
i 3B4 +
(βT
i)?
U2
l +
(βB
) αA
lB12
2050
p3
L (
βTi)
+ T
iB
1560
e 2(m
ax)
l +
TiB2
Ti 3
B4
2200
p1
l +
Ti 3
B4
TiB
2180
p2
l (
βTi)
+ T
iB
1530
e 3
l +
(αT
i)γ
1463
p5
l+
Ti 5
Al 11
TiA
l 3(h
)
1393
p6
l +
TiA
l 3(h
) (
αAl)
665
p8
l +
αA
lB12
AlB2
956
p7
l (
αAl)
+A
lB2
659.7
e 4
L +
(βB
) αA
lB12
+ T
iB2
?U1
L +
Ti 3
B4
TiB2
+ (
βTi)
?U3
L +
(βT
i) (
αTi)
+ T
iB2
?U4
L +
(αT
i)γ
+ T
iB2
?U5
L+
Ti 5
Al 11
TiA
l 3(h
)+T
iB2
1390
U6
L+
TiA
l 3(h
)(α
Al)
+T
iB2
664.5
U8
L+
αAlB12
AlB2+
TiB2
880
U7
L+
TiB2
(αA
l)+
AlB2
660
U9
(βB
)+αA
lB12+
TiB2
TiB
+T
i 3B4+
(βT
i)
Ti 3
B4+
TiB2+
(βT
i)
(βT
i)+
(αT
i)+
TiB2
(αT
i)+
γ+T
iB2
Ti 5
Al 11+
TiA
l 3(h
)+T
iB2
TiA
l 3(h
)+(α
Al)
+T
iB2
TiB2+
(αA
l)+
AlB2
αAlB12+
AlB2+
TiB2
?
94
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
20
40
60
80
20 40 60 80
20
40
60
80
Ti Al
B Data / Grid: at.%
Axes: at.%
AlB2TiB2
880°C
~660°C
~664.5°C
~2080°C
~2050°C
659.7°C
956°Cmax, 3225°C
665°C
αAlB12
(βB)
(αAl)TiAl3
1500°C
1510
°C15
25°C
1540
°C
max
, ~15
60°C
1545
°C
(βTi)
TiB
50
60
70
80
90
10 20 30 40 50
10
20
30
40
50
Ti Ti 40.00Al 60.00B 0.00
Ti 40.00Al 0.00B 60.00 Data / Grid: at.%
Axes: at.%
TiB
(βTi)
TiB2
~1560°C
e1
p2
p1
U3U2e2,
p4 p5(αTi) γ
U4 U5
Ti3B4
Fig. 2: Al-B-Ti.
Partial solidus surface
projection.
Ti-rich region is from
[2002Art],
Al-rich region is from
[2001Fje, 1998Zup2,
1985Abd1, 1984Sig]
Fig. 3: Al-B-Ti.
Liquidus surface
projection in the
Ti-rich region
[2002Art, 1991Hym,
1990Hym]
95
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
Ti 0.20Al 99.80B 0.00
Al
Ti 0.00Al 99.80B 0.20 Data / Grid: at.%
Axes: at.%
1300°C
1200°C
1100°C
1000°C900°C
Ti 0.00Al 99.99B 0.01 Data / Grid: a
Axes: at.%
900°C
800°C
700°C
Ti 0.01Al 99.99B 0.00
Al
Ti 0.00Al 99.99B 0.01 Data / Grid: at.%
Axes: at.%
900°C
800°C
700°C
Fig. 4b: Al-B-Ti.
Liquidus surface in
the Al-rich regoin as
projection on Gibbs'
triangle [1989Hay]
Fig. 4a: Al-B-Ti.
Liquidus surface in
the Al-rich regoin as
projection on Gibbs'
triangle [2001Fje]
96
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
Ti 0.50Al 99.50B 0.00
Al
Ti 0.00Al 99.50B 0.50 Data / Grid: at.%
Axes: at.%
1300°C
Al1
1
10-4
10-6
10-2
100B
100
Ti
10-1010-810-610-410-2
U9
U7
U8
1000°C900°C
800°C700°C
B,at.%
Ti, at.%
��Al)
� �Al �
Al�
TiB 2
TiAl
Fig. 4c: Al-B-Ti.
Liquidus surface in
the Al-rich regoin as
projection on Gibbs'
triangle [1989Hay]
Fig. 4d: Al-B-Ti.
Liquidus surface in
the Al-rich region as
projection on
logarithmic scale after
[2001Fje]
97
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
Al
Soli
d(
Al)
�
1 0.01 10 10 10 10-4 -6 -8 -
1
0.0
10-4
10-6
10-8
10-
TiA
l 3
AlB2
Ti, mass%
B,mass%
Liquid AlLiquid Al
TiA
l 3
AlB2
B,mass%
1
0.01
10-4
10-6
10-8
10-10
Al
1 0.01 10 10 10 10-4 -6 -8 -
Ti, mass%TiB
2
B
Tia)
100
100
TiB
2
b) Ti
100
B100
Fig. 5: Al-B-Ti. Phase equilibria in the range of melting/solidification of (Al) phase at 666°C (a), 664°C (b), 662°C
(c), 660.2°C (d), 660°C (e) and 659.708°C (f) after [1984Sig]
Al
Soli
d(
Al)
�
1 0.01 10 10 10 10-4 -6 -8 -10
1
0.0
10-4
10-6
10-8
10-
TiA
l 3
Ti, mass%B,mass%
Liquid AlLiquid Al
TiA
l 3
B,mass%
1
0.01
10-4
10-6
10-8
10-10
Al
1 0.01 10 10 10 10-4 -6 -8 -10
Ti, mass%c) d)
Soli
d(
Al)
�
TiB
2
TiB
2
B
Ti
100
100
Ti
100
B100
AlB2 AlB2
Al
Solid ( Al)�
1 0.01 10 10 10 10-4 -6 -8 -10
1
0.0
10-4
10-6
10-8
10-10
TiA
l 3
AlB2
Ti, mass%
B,mass%
LiquidA
l
Liquid Al
TiA
l 3
AlB2
B,mass%
1
0.01
10-4
10-6
10-8
10-10
Al
1 0.01 10 10 10 10-4 -6 -8 -10
Ti, mass%f)e)
Solid ( Al)�
TiB
2
TiB
2
B
Ti
100
100
Ti
100
B100
98
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
L + TiB + AlB2 2 L + AlB2
AlB2
L+
TiB 2L
+T
iB+
TiA
l2
3
L+
TiAl 3
L
Al
TiB 2
TiAl310-210-1 10-1010-4 10-810-6
10-1
10-2
10-4
10-6
B,at.%
Ti, at.%
100B
100
Ti
10-810-6
10-4
10-6
10-40.011
0.01
1
AlB2
TiA
l 3
Liquid Al
Al
Ti, mass%
B,mass%
100B
100
Ti
TiB
2
Fig. 6: Al-B-Ti.
Partial isothermal
section at 727°C
[1976Jon]
Fig. 7: Al-B-Ti.
Partial isothermal
section at 820°C
[1986Sig].
The solid line gives the
TiB2 solubility
calculated taking into
account the interaction
coefficient of Ti and B as
= –1500.
The dashed straight line
is calculated without
interaction between Ti
and B
99
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
�
�
�
�
��
TiB2
TiB2
TiB2
�TiB
2
TiB2
B
AlB2
U8
U9
U7
��Al)
p8TiAl3Ti Al
e4
p7
liquid
��Al) solid solutiontie lines
TiB2
TiB2
��
TiB2
TiB2 AlB12
Ti Al
B
TiB2
TiB2
�AlB12
e
U ��Al)
Fig. 8: Al-B-Ti.
Schematic
representation of
invariant and
monovariant equilibria
including phases of
liquid Al and solid
( Al) [1998Zup2,
1985Abd1]
Fig. 9: Al-B-Ti.
Schematic
representation of
metastable liquidus
projection in the
Al-AlB12-TiB2 region
[1998Zup2]
100
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
40
60
80
20 40 60
20
40
60
Ti Ti 33.30Al 66.70B 0.00
Ti 33.30Al 0.00B 66.70 Data / Grid: at.%
Axes: at.%
(βTi) (αTi) α2γ TiAl2
TiB2
Ti3B4
TiB
750
1000
1250
1500
1750
2000
2250
Ti 1.14Al 98.86B 0.00
Ti 0.00Al 95.15B 4.85B, at.%
Tem
pera
ture
, °C
L+TiAl3+TiB2
L+TiB2+AlB2
L+TiB2
L
2 4
Fig. 10: Al-B-Ti.
Partial isothermal
section at 1000°C
[1994Rog]
Fig. 11: Al-B-Ti.
Vertical section at
constant 98 mass% Al
[1989Hay]
101
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–B–Ti
3225°C
~1700°C
L + TiB2
<1700°C
L+( Al)+ AlB� 12�
� Al)+ AlB12� �( Al) + TiB + AlB� 2 12�
L + TiB + AlB2 12�
L + AlB12�
L
Al
Temperature,°C
TiB2 AlB
2
655°C~<
Fig. 12: Al-B-Ti.
Qualitative
metastable section
TiB -AlB [1998Zup2]
102
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Be–Cu
Aluminium – Beryllium – Copper
Gautam Ghosh, Hans Leo Lukas, Günter Effenberg and Bernd Grieb
Literatute Data
Earlier investigations of phase equilibria primarily involved microstructural observations, age hardening
behavior and hardness measurements [1929Mas1, 1929Mas2, 1936Ams, 1938Koc, 1938Fil, 1939Bal].
[1936Ams] reported the phase boundaries involving , and at 400, 500, 600, 700, 800 and 850°C.
[1936Ams] used alloys containing up to 2 mass% Be and 5 mass% Al. [1938Fil] used alloys up to 5 mass%
Be and 12.5 mass% Al, and determined vertical sections at 0.6, 1.5, 3.0 and 5.0 mass% Be.
The first comprehensive studies of phase equilibria were carried out by [1946Bad] in the Al-corner and by
[1957Nic, 1958Nic] in the copper-rich region. Nickel applied metallography, differential thermal analysis
(DTA), X-ray and dilatometry to investigate the Cu-corner up to 18 at.% Al and 26 at.% Be. The alloys were
prepared from the pure elements and annealed in a hydrogen atmosphere at 800°C to produce a
homogeneous state. Badaeva [1946Bad] investigated the Al-rich corner by DTA. A considerable number of
alloys were grouped into 6 series of constant Cu:Be mass ratios of 20:1, 12:1, 10:1, 7:1, 5:1 and 2:1. Within
each series the Cu content varied from 0 to about 50 mass% except in the 2:1 series in which the Cu content
was 0.07 to 33.67 and correspondingly the Be content 0.03 to 16.33 mass%. Part of the results of [1946Bad]
are reflected in Fig. 1, Fig. 2 and Fig. 11.
[1979Dri], [1980Cha] and [1990Eff] presented reviews of the Cu-rich part.
Binary Systems
The Al-Be system is accepted from [Mas], the Al-Cu binary phase diagram is accepted from the assessment
of [2003Gro], and the Be-Cu system is accepted from [2003Wat]. The phases called 0 and 1 by [Mas] are
identical to the ’ phase of [1957Nic]. The (Al) solvus in Al-Cu was calculated using the COST 507 data
set [1998Ans], as for this boundary the resolution in [2003Gro] is not sufficient.
Solid Phases
In the composition range investigated no ternary phase has been found. The phase of the Be-Cu system
has a large homogeneity range towards Al [1958Nic]. In an alloy with about 18 at.% Al and 43 at.% Be, he
found a cubic Laves phase containing superstructure reflections in the X-ray diffraction pattern, and
proposed a model of an ordering in this phase. This model, however, should be taken with caution, as its
symmetry is reduced from cubic to tetragonal, but no other evidence of this symmetry-reduction is reported.
[1967Sta] verified the 200, 222 and 420 superstructure X-ray reflections in an alloy of composition
CuBe2Al, but this alloy also contains (CuAl2) indicating that the phase contains less Al than according to
the formula CuBe2Al. It is not clear, if this phase is a ternary solid solution of the binary Cu-Be phase or
a ternary phase.
The phases originating from the binary systems are listed in Table 1. The distinction between 0 and 1 in
the Al-Cu system as made by [Mas, 1957Nic] could not verify by optical metallography.
[1987Kar] determined the solubility of Be in the phase by metallographic analysis as 0.8 mass% and by
EDS as 2.07 mass% (3 or 7 at.% respectively). They consider the metallographic determination as the most
accurate, the value corresponds to a solubility limit at the composition CuBe0.1Al1.9.
[1977Mye] investigated the effect of Al on the solubility of Cu in Be by ion implantation followed by
annealing at 500°C. They found that Al has no significant effect on the solubility of Cu in Be.
The combined solubilities of Be and Cu in (Al) [1946Bad] are shown in Fig. 1, Cu increases significantly
the solubility of Be in Al.
103
Landolt-BörnsteinNew Series IV/11A1
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Al–Be–Cu
The solubilities of Al and Be in the ternary (Cu) solid solution where investigated by [1958Nic] at 800, 700,
600, 500 and 400°C by means of optical metallography and X-ray diffraction and they are shown in Fig. 2.
With decreasing temperature the maximum solubility of Al remains almost constant whereas that of Be
decreases.
Invariant Equilibria
The reaction scheme of the Cu-rich part, shown in Fig. 3a, is based on the results of [1957Nic]. Six ternary
invariant equilibria are reported by [1957Nic] and listed in Table 2. The compositions of all phases are taken
from [1957Nic], the equilibria are plotted in Figs. 4 and 5. Slight changes have been made to comply with
the accepted binaries. In particular, [1957Nic] observed a thermal effect at 1014°C and attributed it to the
invariant reaction L+ 0 + 0. In view of the accepted Al-Cu binary where 0 is not distinguished from ,
the nature of this invariant reaction can not be ascertained. Also, limited information preclude speculation
of any other invariant reaction that would be compatible with the Al-Cu binary. As a result, the participation
of the transition reaction U1 is not considered in the reaction scheme and the binary L+ 0 is considered
to participate directly into the transition reaction U2.
In the Al-rich corner of the ternary system [1946Bad] found an invariant equilibrium at 558°C. These
authors reported the (Al) solid solution to have a two-phase equilibrium with the phase besides the
two-phase equilibria (Al)+( Be) and (Al)+ known from the binary systems. That means, there are at least
two invariant four-phase equilibria in the Al corner. As the temperature 558°C is higher than that of the
binary eutectic L +(Al) the second one at 558°C must be a transition reaction L+ +(Al). This implies,
that the composition of the liquid phase is on the Be-poor side of the tie line (Al)- . The first invariant
equilibrium, L+( Be) +(Al) is very near to the Al-Be edge of the ternary system and was not explicitly
detected in the investigations of [1946Bad]. A tentative reaction scheme of the Al-rich corner is given in
Fig. 3b. Both invariant equilibria are included in Table 2. The compositions of liquid and (Al) are estimated
from the results of [1946Bad], that of from [1987Kar].
Liquidus Surface
Figure 4 shows the monovariant curves separating the areas of primary crystallization of (Cu), , 0, 1 and
in the Cu-rich corner. Liquidus isotherms were not reported in [1957Nic]. The monovariant curve, in
which liquid is in equilibrium with + , disappears at a critical tie line between and at 871°C.
The liquidus surface of the Al-rich corner in Fig. 6 was constructed by [1946Bad] from six T-C sections. It
is modified by adding tentatively the curve of double saturation L+( Be)+ , which was not given by
[1946Bad].
Solvus Surfaces
[1946Bad] gave isotherms of the (Al) solvus surface at 530, 480, 390 and 300°C. They did not draw the
lines of double saturation of (Al) with respect to + or +( Be). The line, where (Al) is saturated with +
can easily be deduced from the kinks of the isotherms given by [1946Bad]. The line of double saturation
(Al) with +( Be) is very near to pure Al (xAl > 99.5 at.%). The resulting diagram is shown in Fig. 1, where
also the (Al) traces of the three-phase equilibria L+(Al)+ , L+(Al)+ and L+(Al)+( Be) are given
tentatively, i.e. the boundaries between liquidus and solvus.
Isothermal Sections
Using a large number of alloys, [1957Nic] determined isothermal sections of the Cu-rich part
(xCu > 30 at.%) at 800, 600 and 500°C which are shown in Fig. 7, Fig. 8 and Fig. 9. Minor adjustments have
been made along the Al-Cu and Be-Cu edges to comply with the accepted binaries. Schematic isothermal
sections (without scaling) at 647, 640, 560 and 490°C were given by [1957Nic] to clarify the phase relations
in the solid state.
104
Landolt-BörnsteinNew Series IV/11A1
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Al–Be–Cu
Temperature – Composition Sections
Cu-rich region [1957Nic]: an isopleth at 3 mass% Be is given in Fig. 10.
Al-rich region [1946Bad]: an isopleth at constant Cu:Be mass-ratio of 20:1 (mole ratio 2.836:1) is given in
Fig. 11. The Al-rich part of the diagram is tentatively completed by the additional information given by
[1946Bad] for the (Al) solvus (Fig. 1).
Thermodynamics
Thermodynamic properties of ternary alloys have not been determined. [1998Man] observed that the (A2)
1 (DO3) ordering transition is first-order. In a Cu-Be-22.72Al (at.%) alloy, the transition temperatures
are 511 and 496°C on heating and cooling, respectively. The ordering enthalpy is 1160±50 J mol-1. On the
other hand the enthalpy change associated with the martensitic transformation ( 1 18R) is 200 J mol-1.
The entropy change associated with these two transformations are comparable.
Notes on Materials Properties and Applications
The copper-rich Be-Cu alloys with addition of aluminium have technical relevance because of their good
hardenability.
The ternary alloys in the vicinity of Cu-3.5Be-23Al (at.%) exhibit shape memory phenomenon. Guenin
[1995Gue] has provided a review of these results. The shape memory effect is strongly influenced by the
quench rate of the phase which determines the formation of , 2 and 2 phases, though in minor amounts,
and the vacancy concentration [1998Man, 1999Man, 1999Rom]. [1999Rom] observed that 1 ordering
transition is associated with a marked increase in vacancy concentration. Also, these vacancies are primarily
single vacancy type [1998Man]. The migration energy for the vacancies in Cu-3.55Be-22.72Al (at.%)
alloy is 1.0 ± 0.1 eV [1999Rom].
The shape memory behavior is also strongly influenced by stress [1992Hau, 2001Bal]. [1992Hau] studied
the martensitic transformation in a Cu-11.6Al-0.52Be (mass%) alloy using single crystals oriented along
[001] direction. The alloy has a natural Ms of –10°C. Below Ms, reorientation of ’ (18R) or ’ (2H)
martensite followed by ’ ’’ (18R2) and then ’’ ’ transformation takes place with increasing stress.
Above Ms, ’ and ’ ’ transformation takes place with increasing stress.
[1991Rio] measured the temperature dependence of single crystal elastic constants of Cu-11.36Al-0.78Be
(mass%) and Cu-0.47Be-11.65Al (mass%) alloys by pulse echo technique. [1999Man] determined the
phonon dispersion curves of b Cu-3.55Be-22.72Al (at.%) alloy using inelastic neutron scattering technique,
and also the specific heat by differential scanning calorimetry. Using the phonon dispersion results, the
elastic constants were calculated based on fifth-neighbor force constant.
[1946Har] developed casting and heat treatment procedure of (2 to 6)Cu-(0.1 to 1)Be-Al (mass%) alloys.
He noted that Be in excess of 0.75 mass% tends to cause a decrease in useful properties. These alloys have
high tensile strength, high thermal stability and good oxidation resistance.
Upon adding Be into Cu-Al alloys the cavitation-erosion resistance improves significantly.
Miscellaneous
[1967Pot] determined the partitioning ratio of Cu, between solid (Be) and liquid, in two-phase Al-Be alloys
as function of temperature and discussed the results in view of purification of Be by treating with liquid Al.
[1982Bre] presented a review of decomposition kinetics and microstructures of and phases, and
associated properties. In the temperature range of 400 to 550°C, the decomposition kinetics and the
microstructure of Al-Be-Cu alloys are sensitive to alloy composition [1962Phi, 1968Hor, 1969Hor]. In
general, the following transformations are observed: 1 , 1 2, 1 ( + 2) and 1 ( + 2+ ).
105
Landolt-BörnsteinNew Series IV/11A1
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Al–Be–Cu
References
[1929Mas1] Masing, G., Dahl, O., “Ternary Beryllium Containing Alloys on the Copper Base” (in
German), Wiss. Veroeff. Siemens-Konzern, 8(1), 202-210 (1929) (Experimental, 1)
[1929Mas2] Masing, G., Dahl, O., “Aluminium Alloys Containing Beryllium”, Siemens-Werke/
Wissenschaftliche Veroeffentlichungen, 8, 248-256 (1929/30) (Experimental, Equi.
Diagram, 3)
[1931Pre] Preston, G.D., “An X-ray Investigation of Some Copper-Aluminium Alloys”, Philos. Mag.,
12, 980-993 (1931) (Crys. Structure, Experimental, 11)
[1936Ams] Amsterdamsky, Ya.A., “Influence of Aluminium on Properties Copper-Beryllium Alloys”
(in Russian), Metallurgiya, (11), 90-102 (1936) (Equi. Diagram, 6)
[1938Koc] Koch, W., Röntgen, P., “On the Influence of Beryllium in Brass Alloys. I. Investigation of
Texture” (in German), Metall-Wirtschaft, 17, 997-1005 (1938) (Experimental, 3)
[1938Fil] Filin, N.A., Iokhel, L.L., “Constitution and Properties of Alloys in the
Copper-Aluminium-Beryllium (Copper Corner)” (in Russian), Metallurgiya, (12), 81-92
(1938) (Equi. Diagram, Experimental)
[1939Bal] Ballay, M., “Properties of Some Aluminium Alloys with Be (Glucinium)” (in French),
Compt. Rend. Acad. Sci. Paris, 208(17), 1309-1311 (1939) (Experimental, 6)
[1946Bad] Badaeva, T.A., Sal’dau, P.Ya., “Ternary Solid Solution of Copper and Beryllium in
Aluminium” (in Russian), Izv. Sekt. Fiz.-Khim. Anal., 16(2), 251-274 (1946) (Equi.
Diagram, Experimental, #, *, 16)
[1946Har] Harrington, R.H., “New Aluminium Alloys Containing Small Amounts of Beryllium”,
Trans. Am. Soc. Metals, 36, 311-323 (1946) (Experimental, 2)
[1957Nic] Nickel, O., “Equilibria in the Al-Be-Cu System I. The Ternary Phase Diagram” (in
German), Z. Metallkd., 48, 417-424 (1957) (Equi. Diagram, Experimental, #, *, 20)
[1958Nic] Nickel, O., “Equilibria in the Al-Be-Cu System II. Additional Investigations of Solubility
Isotherms, Structures and Microstructure-Evolution“ (in German), Z. Metallkd., 49, 47-62
(1958) (Equi. Diagram, Experimental, #, 31)
[1962Phi] Philip, T.V., Mack, D.J., “Effect of Ternary Elements on the Eutectoid Transformation in
Al Bronze”, Trans. Met. Soc. AIME, 224, 34-42 (1962) (Experimental, 16)
[1967Pot] Potard, C., Bienvenu, G., Schaub, B., “Distribution of Fe, Cu and Mo Impurities Between
the Solid and Liquid Phases in Al-Be Alloys” (in French), Thermodynamics of Nuclear
Materials, Vienna, 67, Int. At. Energy Agency, 809-825 (1967) (Experimental, 11)
[1967Sta] Stadelmaier, H.H., Hofer, G., “Phases with Diamond Sublattice Structure in Ternary
Beryllium Alloys” (in German), Monatsh. Chem., 98, 45-48 (1967) (Crys. Structure,
Experimental, 2)
[1968Hor] Hori, M., “Effects of Addition of Be and both Be and Fe on -> + 2 Transformation of
Cu-Al Alloys” (in Japanese), Nippon Kinzoku Gakkai Shi, 32(10), 1003 (1968) (Crys.
Structure, Equi. Diagram, Experimental, 11)
[1969Hor] Hori, M., “Tempering Transformations of Copper-Aluminium-Beryllium and
Copper-Aluminium-Beryllium-Iron Alloys” (in Japanese), Nippon Kinzoku Gakkai Shi,
33(8), 878-882 (1969) (Crys. Structure, Equi. Diagram, Experimental, 11)
[1977Mye] Myers, S.M., Smugeresky, J.E., “Low-Temperature Solubility of Cu in Be, in Be-Al and in
Be-Si Using Ion Beams”, Metall. Trans., 8A, 609-616 (1977) (Experimental, 16)
[1979Ald] Aldinger, F., Petzow, G.,“Constitution of Beryllium and its Alloys” in “Beryllium Science
and Technology”, Vol. 1, Webster, D., London, G. (Eds.), Plenum Press, New York (1979)
(Equi. Diagram, Crys. Structure, Review, 302)
[1979Dri] Drits, M.E., Bochvar, N.R., Guzei, L.S., Lysova, E.V., Padezhnova, E.M., Rokhlin, L.L.,
Turkina, N.I., “Cu-Al-Be” (in Russian), in “Binary and Multicomponent Copper-Base
Systems”, Nauka, Moskow, 69-70 (1979) (Equi. Diagram, 5)
106
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Be–Cu
[1980Cha] Chang, Y.A., Neumann, J.P., Mikula, A., Goldberg, D., “The Al-Be-Cu
(Aluminum-Beryllium-Copper) System”, Bull. Alloy Phase Diagrams, 1(1), 46-48 (1980)
(Equi. Diagram, Review, 19).
[1982Bre] Brezina, P., “Heat Treatment of Complex Aluminium Bronzes”, Int. Met. Rev., 27(2),
77-120 (1982) (Equi. Diagram, Experimental, 210)
[1985Mur] Murray, J.L., “The Aluminium - Copper System”, Int. Met. Rev., 30, 211-233 (1985) (Equi.
Diagram, Review, #, *, 230)
[1987Kar] Karov, J., Yondelis, W.V., “Solubility of Beryllium in CuAl2”, Mater. Sci. Technol., 3,
394-395 (1987) (Crys. Structure, Experimental, 5)
[1990Eff] Effenberg, G., Ghosh, G., Grieb, B., “Al-Be-Cu (Aluminium-Beryllium-Copper)”, MSIT
Ternary Evaluation Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials
Science International Services, GmbH, Stuttgart; Document ID: 10.11588.1.20, (1990)
(Crys. Structure, Equi. Diagram, Assessment, 6)
[1991Rio] Rios-Jara, D., Belkahla, S., Canales, A., Flores, H., Guenin, G., “Elastic Constants
Measurements of Copper-Aluminum-Beryllium Alloys”, Scr. Metal. Mater., 25(6),
1351-5 (1991) (Phys. Prop., Experimental, 7)
[1992Hau] Hautcoeur, A., Eberhardt, A., Patoor, E., Berveiller, M., “Thermomechanical Behaviour of
Monocrystalline Cu-Al-Be Shape Memory Alloys and Determination of the Metastable
Phase Diagram”, J. Phys. IV, 5, C8-459-464 (1992) (Crys. Structure, Equi. Diagram,
Experimental, 12)
[1995Gue] Guenin, G., “Martensitic Transformation and Thermomechanical Properties”, Key Eng.
Mater., 101-102, 339-392 (1995) (Crys. Structure, Equi. Diagram, Phys. Prop., Review, 73)
[1998Ans] Ansara, I., Dinsdale, A.T., Rand, M.H., COST 507, Thermochemical Database for Light
Metal Alloys, Vol. 2, European Communities, Luxembourg, 311-315 (1998) (Equi.
Diagram, Thermodyn., Assessment)
[1998Man] Manosa, L., Jurado, M., Gonzalez-Comas, A., Obrado, E., Planes, A., Zaretsky, J., Stassis,
C., Romero, R., Somoza, A., Morin, M., “A Comparative Study of the Post-Quench
Behavior of Cu-Al-Be and Cu-Zn-Al Shape Memory Alloys”, Acta Mater., 46(3),
1045-1053 (1998) (Crys. Structure, Experimental, 36)
[1999Man] Manosa, L., Zarestky, J., Bullock, M., Stassis, C., “Low-Lying Phonon Dispersion Curves
of D03 Cu3Al(+Be)”, Phys. Rev. B, 59(14), 9239-9242 (1999) (Crys. Structure,
Experimental, 14)
[1999Rom] Romero, R., Somoza, A., “Point Defects Behavior in beta Cu-Based Shape Memory
Alloys”, Mater. Sci. Eng. A, A273-275, 572-576 (1999) (Crys. Structure, Experimental, 25)
[2001Bal] Balo, S.N., Ceylan, M., Aksoy, M., “Effects of Deformation on the Microstructure of a
Cu-Al-Be Shape Memory Alloy”, Mater. Sci. Eng. A, 311, 151-156 (2001) (Crys. Structure,
Equi. Diagram, Experimental, 18)
[2002Gul] Gulay, L.D, Harbrecht, B., “The Crystal Structures of the 1 and 2 Phases in the Al-Cu
System”, Abstr. VIII Int. Conf., “Crystal Chemistry of Intermetallic Compounds”,
September 2002, Lviv, P139, 73 (2002) (Crys. Structure, Experimental, 5)
[2003Gro] Gröbner, J., “Al-Cu (Aluminum-Copper)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; to be published, (2003) (Crys. Structure, Equi. Diagram, Assessment, 68)
[2003Wat] Watson, A., “Be-Cu (Beryllium-Copper)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; to be published, (2003) (Crys. Structure, Equi. Diagram, Assessment, 10)
107
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Be–Cu
Table 1: Crystallographic Data of Solid Phases
Phase /
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
< 660.452
cF4
Fm3m
Cu
a = 404.88 pure Al [V-C]
( Be)
1289-1109
cI2
Im3m
W
a = 255.15 pure Be [V-C]
( Be)
< 1270
hP2
P63/mmc
Mg
a = 228.58
c = 358.43
pure Be [V-C]
(Cu) cF4
Fm3m
Cu
a = 361.48 pure Cu [V-C]
, BeCu
< 930
cP2
Pm3m
CsCl
a = 270.2 [V-C]
, Be4...2Cu
< 1219
cF24
Fm3m
Cu2Mg
a = 596.9 [1979Ald]
18.2 - 37.6 at.% Cu
, BeCu2
AlCu3
CI2
Im3m
W
a = 280
a = 295.64
solid solution from
BeCu2 to AlCu3 (h2) [V-C]
[V-C]
0, AlCu3
1037-964
- - [Mas]
2, AlCu3
< 363
DO22 long period
superlattice [Mas]
0, Al4Cu9(h)
1022-780
cubic - probably disordered form of 1
1, Al4Cu9(r)
< 873
cP52
P43m
Al4Cu9
a = 870.6 [V-C]
31-40 at.% Al
1, Al2Cu3
958-848
- - [Mas]
2, Al2Cu3
850-560
hP6
P63/mmc
NiAs
a = 414.6
c = 506.3
T = 630°C [V-C]
, Al2Cu3
686-RT
- - [Mas]
1, Al4Cu5
590-560
oF88 4.7
Fmm2
Cu47.8Al35.5
a = 812.67
b = 1419.85
c = 999.28
[Mas, 1985Mur]
structure: [2002Gul]
108
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Be–Cu
Table 2: Invariant Equilibria
2, Al4Cu5
< 570
oI24 3.5
Imm2
Cu11.5Al9
a = 409.72
b = 703.13
c = 997.93
55.2 to 56.3 at.% Cu
[Mas, 1985Mur]
structure: [2002Gul]
1, AlCu(h)
< 624
o*32 a = 401.5
b = 1202
c = 865.2
49.8 to 52.4 at.% Cu
[Mas, 1985Mur]
Pearson symbol: [1931Pre]
2, AlCu
< 563
mC20 a = 1206.6
b = 410.5
c = 691.3
[V-C]
, Al2Cu
< 590
tI12
I4/mmc
Al2Cu
a = 606.6
c = 487.4
a = 604.2 ± 1.0
c = 484.8 ± 1.0
at Cu0.98Al2.08
[1987Kar]
at Cu0.86(Al1.92Be0.22)
Reaction T [°C] Type Phase Composition (at.%)
Al Be Cu
L + 0 + 890 U2 L
0
7.9
2.9
10.0
2.1
32.4
43.4
29.9
66.0
59.7
53.7
60.1
31.9
L + + 875 U3 L 13.6
4.6
16.9
16.9
28.4
63.6
20.1
25.4
58.0
31.8
63.0
57.7
(Cu) + 647 emax
(Cu)
4.1
6.8
0.4
24.7
7.4
47.6
71.2
85.8
52.0
+ (Cu) + 560 U4
(Cu)
18.0
0.8
15.4
0.2
8.9
47.6
2.9
69.7
73.1
51.6
81.7
30.1
(Cu) + 1 + 490 E1
(Cu)
1
20.4
16.6
26.7
0.4
7.5
1.4
8.5
69.6
72.1
82.0
64.8
30.0
L + ( Be) (Al) + 640 U5 L
(Al)
96
99.5
3
0.4
1
0.1
L + (Al) + 558 U6 L
(Al)
83.6
96.3
64
1.4
1.5
3
15
2.2
33
Phase /
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
109
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Be–Cu
Be 5.00Cu 0.00Al 95.00
Be 0.00Cu 5.00Al 95.00
Al Data / Grid: at.%
Axes: at.%300°C
480°C
530°C
390°C
U6
e6
e5
U5
Fig. 1: Al-Be-Cu.
Solubility isotherms
for Be and Cu in (Al)
[1946Bad]
10
90
10
Be 20.00Cu 80.00Al 0.00
Cu
Be 0.00Cu 80.00Al 20.00 Data / Grid: at.%
Axes: at.%
800700
600
500 400°C
Fig. 2: Al-Be-Cu.
Solubilities of Al and
Be in the ternary (Cu)
solid solution
110
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Be–Cu
Fig. 3a: Al-Be-Cu. Reaction scheme in the Cu-rich corner
Be-Cu Al-Be-Cu Al-Cu
1 + δ γ933 p
3
β (Cu) + γ647 e
max
L + ? β + γ0
1014 U1
l + β γ0
1037 p1
l + γ β900 p
4
1 + (Cu) β863 p
5
β (Cu) + γ618 e
3
L + γ0
β + δ890 U2
L + δ β + γ875 U3
β (Cu) + γ1
+ δ> 490 E1
β + γ (Cu) + δ> 560 U4
β (Cu) + γ1
559 e4
ε1
l + ε2
848 e2
ε1 + γ
1 ε2
850 p6
l + γ0
ε1
958 p2
1 (Cu) + β1032 e
1
L + β + γ0 L + γ
0 + δ
?
L + β + δ γ0
+ β + δ
δ + β + γL + β + γ
871
(Cu) + γ + δ(Cu) + β + δ
(Cu) + γ1
+ δ
Fig. 3b: Al-Be-Cu. Tentative reaction scheme in the Al-rich corner
Al-Be A-B-C
l (Al) + (αBe)
645 e5
Al-Be-Cu
L+(αBe) (Al)+δ640 U5
(αBe) + (Al) + δ
Al-Cu
l (Al) + θ548 e
6
L + (Al) + δ
L + δ (Al) + θ558 U6
L +(αBe) + δ
L +δ+θ
δ + (Al) + θ
111
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Be–Cu
20
40
60
40 60 80
20
40
60
Be 70.00Cu 30.00Al 0.00
Cu
Be 0.00Cu 30.00Al 70.00 Data / Grid: at.%
Axes: at.%
e4E1490
560
U4
e3
647max.
20
40
60
40 60 80
20
40
60
Be 70.00Cu 30.00Al 0.00
Cu
Be 0.00Cu 30.00Al 70.00 Data / Grid: at.%
Axes: at.%
δ875°C U3 871°C (Cu)
β
γ0
890°CU2
γp3 p5
e1
p1
δ
Fig. 5: Al-Be-Cu.
Solid state reactions
comprising γ1+β+δcurve going from U2
to E1 and δ+β+γ curve
going from U3 to U4
Fig. 4: Al-Be-Cu.
Reactions during
solidification
112
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Be–Cu
10
10
90
Be 20.00Cu 0.00Al 80.00
Be 0.00Cu 20.00Al 80.00
Al Data / Grid: at.%
Axes: at.%
900°C
800°C
700°C
600°C
580°C
560°C
(Al)
θ
640°C
620°C
U6
δ
U5
(αBe)
20
40
60
40 60 80
20
40
60
Be 70.00Cu 30.00Al 0.00
Cu
Be 0.00Cu 30.00Al 70.00 Data / Grid: at.%
Axes: at.%
(Cu)(Cu)+β
β
β+γ
β+γ 0
γ0
β+γ 0+δ
β+δ
β+γ+δδ
γ+δ γ
Fig. 6: Al-Be-Cu.
Liquidus surface of
the Al-rich corner
[1946Bad]
Fig. 7: Al-Be-Cu.
Isothermal section of
the Cu-rich corner at
800°C
113
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Be–Cu
20
40
60
40 60 80
20
40
60
Be 70.00Cu 30.00Al 0.00
Cu
Be 0.00Cu 30.00Al 70.00 Data / Grid: at.%
Axes: at.%
(Cu)(Cu)+γ
(Cu)+β+γ
β
γ1
β+γ1
β+γ1+δγ1+δ
β+δ
δ
γ(C
u)+β
β+γ+δ β+γ
20
40
60
40 60 80
20
40
60
Be 70.00Cu 30.00Al 0.00
Cu
Be 0.00Cu 30.00Al 70.00 Data / Grid: at.%
Axes: at.%
γ1
(Cu)+γ1
(Cu)+β+γ1
(Cu)+β
(Cu)
(Cu)+γ(Cu)+δ1
(Cu)+β+δ
β
β+γ1
β+γ1+δβ+δ
δ
γ+δ γ
(Cu)+γ+δ
Fig. 8: Al-Be-Cu.
Isothermal section of
the Cu-rich corner at
600°C
Fig. 9: Al-Be-Cu.
Isothermal section of
the Cu-rich corner at
500°C
114
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Be–Cu
10 20400
500
600
700
800
900
1000
Be 17.90Cu 82.10Al 0.00
Be 15.10Cu 58.00Al 26.90Al, at.%
Tem
pera
ture
, °C
(Cu)+γ+δ1
(Cu)+δ1(Cu)+γ
(Cu)+β+γ
(Cu)+β
L+(Cu)+β
L+(Cu)
L
L+β
L+β+γ' L+γ'
L+γ'+δ1
γ'
β+γ'β
β+γ+δ1
β+δ1
β+γ
(Cu)+β+δ1
(Cu)+γ'+δ1
β+γ'+δ1
γ'+δ1
70 80 90
500
600
700
Be 10.53Cu 29.47Al 60.00
AlAl, at.%
Tem
pera
ture
, °C
660.452°
L+(Al)+δ
(Al) +δ+θ
L+θ+δ
L+δL
L+ (Al)
L+(Al)+δ(Al)+θ
(Al)
Fig. 10: Al-Be-Cu.
Isopleth in the
Cu-rich corner at
constant Be content 3
mass%
Fig. 11: Al-Be-Cu.
Isopleth along
constant mass ratio
Cu:Be = 20:1 (mole
ratio = 2.8:1)
115
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Be–Mg
Aluminium – Beryllium – Magnesium
Sybille Stiltz
Literature Data
[1926Kro] investigated eight alloys by metallography and hardness measurements up to 3.21 mass% Be and
1.4 mass% Mg. The alloys were prepared in spinel crucibles, coated with Al2O3. The Al used contained
0.07 mass% Si and about 0.25 mass% Fe. The ingots were aged for 30 min at 550°C or 640°C, quenched in
water and annealed for 48h at 150°C or 170°C, respectively. [1929Mas] studied the Al-rich corner by
thermal and microscopical analysis of 10 alloys with constant Al content of 90 and 80 mass%. Two vertical
sections and a partial liquidus surface were presented. Using the data of [1929Mas], partial isothermal
sections at the ternary eutectic temperature, 449°C, at room temperature [1943Mon] and at a temperature
slightly below 447°C (solid state) [1952Han, 1934Fus] were presented. In the review work of [1952Han]
the Al-rich part of the liquidus surface including the four phase plane at 449°C were shown. Sections of the
Al-Be-Mg system with 0.6, 10, 20, 30 and 50 mass% Be were investigated by thermal, chemical and
microstructural analysis [1966Nag]. The stratification boundaries in the molten state were determined.
Starting materials were 99.99% Al, 99.91% Mg and distilled 99.4% Be. The samples were prepared by
using Al-Be and Al-Mg master alloys. The results of [1966Nag] were cited in the review work of [1966Age]
and [1970Fri]. Mechanical properties such as the modulus of elasticity of Al-Be and Al-Be-Mg alloys were
investigated by [1970Fri]. Hardness values were published by [1926Kro].
The present evaluation was published in the MSIT Evaluation Program earlier and reflects today’s state of
knowledge.
Binary Systems
The binary systems Al-Be, presented by [Mas] and Al-Mg by [1981Sch] are accepted and used as boundary
systems.
The equilibrium phase diagram of the Be-Mg system has not yet been determined. A eutectic reaction
l (Mg) + MgBe13 is mentioned [1987Nay]. A sketch of this phase diagram is shown by [1976Mof].
Solid Phases
All stable phases are listed in Table 1.
Invariant Equilibria
A ternary eutectic reaction occurs at 449°C [1929Mas, 1952Han] (Table 2). It agrees with the data of
[1966Nag] who determined it at 445 ± 3°C. Beyond this the reaction scheme contains a further tentative,
very probable ternary invariant transition reaction L+Be13Mg +(Be). The invariant reactions of the
binary Al-Mg system lead to degenerate ternary four phase equilibria (Fig. 1).
Liquidus Surface
The liquidus surface (Fig. 2) contains the partially tentative boundary line of the miscibility gap (L1+L2),
reported by [1966Nag]. Its critical point as well as the tie lines are unknown.
Figure 2 shows the ternary eutectic point E and the likewise partially tentative lines of double saturation
according to [1929Mas].
Isothermal Sections
Isothermal sections for the Al-rich part of the system were given by [1943Mon] for room temperature (Fig.
3) and by [1943Mon] and [1952Han] for T ~ 447°C after solidification. The section of [1952Han] is
confined to about 35 mass% Mg and differs only in the homogeneity range of , compared to the isothermal
116
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Be–Mg
section at room temperature [1943Mon]. Mondolfo's section for T ~ 447°C extends to about 40 mass% Mg.
In the region 35 to 40 mass% Mg it has to be taken as tentative and is not consistent with the accepted
boundary Al-Mg system [1981Sch].
Temperature – Composition Sections
Two vertical sections, partially tentative, at 90 and 80 mass% Al were presented [1929Mas]. The isopleths
at 80 and 90 mass% Al are consistent with the accepted binary phase diagrams Al-Be [Mas] and Al-Mg
[1981Sch]. The latter isopleth contains a three-phase-field + +(Be), whereas after [1981Sch] does not
occur in this composition range. The liquidus lines had to be lowered by about 30 K respectively at their
start in the boundary Al-Be system (Figs. 4 and 5).
Three temperature-composition cuts for 50, 60 and 0.6 mass% Be were established [1966Nag]. The liquidus
and solidus temperatures are corrected as well with respect to the binary Al-Be system [Mas] (Figs. 6, 7, 8).
References
[1926Kro] Kroll, W., “Age Hardenable Aluminium Alloys” (in German), Metall und Erz, 23, 613-616
(1926) (Experimental, 6)
[1929Mas] Masing, G., Dahl, O., “Beryllium Containing Aluminium Alloys” (in German), Wiss.
Veröff. Siemens-Konzern, 8, 248-256 (1929) (Equi. Diagram, Experimental, 3)
[1934Fus] Fuss, V., “Metallography of Aluminium and Its Alloys” (in German), Verlag J. Springer,
Berlin, 167-168 (1934) (Equi. Diagram, Review, 1)
[1943Mon] Mondolfo, L.F., “Metallography of Aluminium Alloys”, Wiley & Sons, Inc., New York,
London; Chapman and Hall Ltd., London, 56-57 (1943) (Equi. Diagram, Review, 1)
[1952Han] Hanemann, H., Schrader, A., “Ternary Aluminium Alloys” (in German), in “Atlas
Metallographicus”, Verlag Stahleisen M.B.H., Düsseldorf, Vol. III, part 2, 57-59, Tafel 1
(1952) (Equi. Diagram, Crys. Structure, Experimental, Review, 1)
[1966Age] Ageev, N.V., “Phase Diagrams of Metallic Systems” (in Russian), Moscow, 130-130a
(1966) (Equi. Diagram, Review, 1)
[1966Nag] Nagorskaya, N.D., Gol'denberg, A.E., Novoselova, A.V., Borisova, A.P., Fridlyander, I.N.,
Yatsenko, K.P., “Phase Diagram of Part of the Al-Be-Mg System”, Izv. Akad. Nauk SSSR,
Met., 5, 137-147 (1966) (Equi. Diagram, Crys. Structure, Experimental, 25)
[1968Sam] Samson, S., Gordon, E.K., “The Crystal Structure of -Mg23Al30”, Acta Crystallogr., B24,
1004-1013 (1968) (Crys. Structure, Experimental, 32)
[1970Fri] Fridlyander, I.N., Yatsenko, K.P., Nekrasova, G.A., Sandler, V.S., Semenova, Z.G., Gulin,
A.N., “Relationships Between Changes in the Structure and Properties of Beryllium-
Aluminium Alloys”, Met. Sci. Heat Treat., 7, 599-603 (1970), translated from Metall. Term.
Obra. Metallov, 7, 50-55 (1970) (Experimental, 8)
[1976Mof] Moffat, W.G., “Handbook of Binary Phase Diagrams”, Business Growth Services, General
Electric Co., New York , (1976) (Equi. Diagram, Review, #)
[1981Sch] Schürmann, E., Voss, H.-J., “Investigation of the Melting Equilibria of
Magnesium-Lithium-Aluminium Alloys, Part 4, Melting Equilibria of the Binary System
Magnesium- Aluminium” (in German), Giessereiforschung, 33, 43-46 (1981) (Equi.
Diagram, Experimental, #, 17)
[1982Mur] Murray, J.L., “The Al-Mg (Aluminium-Magnesium) System”, Bull. Alloy Phase Diagrams,
3, 60-74 (1982) (Equi. Diagram, Review, 112)
[1987Nay] Nayeb-Hashemi, A.A., Clark, J.B., “The Be-Mg (Beryllium-Magnesium) System”, Bull.
Alloy Phase Diagrams, 8, 57-58 (1987) (Equi. Diagram, Review, 25)
[2003Luk] Lukas, H.L.,“Al-Mg (Aluminium-Magnesium)”, MSIT Binary Evaluation Program, in
MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart; to be published, (2003) (Crys. Structure, Equi. Diagram, Assessment, 49)
117
Landolt-BörnsteinNew Series IV/11A1
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Al–Be–Mg
Table 1: Crystallographic Data of Solid Phases
Table 2: Invariant Equilibria
Phase/
Temperature Range
[°C]
Pearson Symbol/
Prototype
Lattice Parameters
[pm]
Comments/References
(Be)(h)
1289-1270
cI2
Im3m
W
a = 255.2 at 1260°C [L-B]
(Be)(r)
1270
hP2
P63/mmc
Mg
a = 228.66
c = 358.33
at 22°C [L-B]
, (Mg)
650
hP2
P63/mmc
Mg
a = 320.94
c = 521.03
at 25°C [L-B]
, (Al)
660.5
cF4
Fm3m
Cu
a = 404.96 at 25°C [L-B]
, Mg2Al3< 453
cF1168
Fd3m
Mg2Al3
a = 2823.9 1168 atoms on 1704 sites per unit cell
[2003Luk]
39.4 at.% Mg [L-B, 1981Sch]
and [1982Mur]
, Mg23Al30
450-428
hR159
R3
Mg23Al30
a = 1282.54
c = 2174.78
[1968Sam, 1981Sch]
159 atoms refer to hexagonal unit cell
[2003Luk]
, Mg48Al52
452-410
- - [1981Sch]
, Mg17Al12
460
cI58
I43m
Mn
a = 1048.11
a = 1053.05
a = 1057.91
52.58 at.% Mg [L-B]
56.55 at.% Mg [L-B]
60.49 at.% Mg [L-B]
Be13Mg cF112
Fm3c
NaZn13
a = 1016.6 at room temperature [L-B]
Al-Be-Mg
Reaction T [°C] Type Phase Composition (at.%)
Al Be Mg
L + + (Be) 449 E L
, (Al)
, Mg2Al3
(Be)
67.86
88.28
60.6
0
0.02
0
0
100
32.12
11.72
39.6
0
118
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Be–MgB
e-M
gA
l-M
gA
l-B
eA
l-B
e-M
g
l 1 (B
e) +
l2
1270
e 1
Fig
. 1:
A
l-B
e-M
g.
Rea
ctio
n s
chem
e
l +
γ ξ
452
p2
l 2+
(B
e) B
e 13M
g
950
p1
l 2 δ
+ B
e 13M
g
650
e 2
l +
ξ ε
450
p3
1100 (
c 1)
l α
+ β
450
e 4
l β
+ ε
448
e 5
l γ
+ δ
438
e 6
ε β
+ ξ
428
e 7
ε β
+ γ
410
e 8
L
γ, B
e 13M
g
463
d1
l 2 α
+ (B
e)
644
e 3
L +
Be 13
Mg
γ +
(B
e)?
U
γ +
(B
e) +
Be 13
Mg
L +
γξ,
(B
e)452
D1
L +
ξε,
(B
e)450
D2
Lε
+ β,
(B
e)448
D3
Lδ
+ γ
+ B
e 13M
g435
E2
γ +
δ +
Be 13
Mg
L +
γ +
(B
e)
ξ +
ε +
(Be)L
+ ξ
+ (B
e)
L +
ε +
(B
e)
ξγ
+ ε,
(B
e)428
D4
εβ
+ γ,
(B
e)410
D5
β +
γ +
(Βe)
γ +
ε +
(Be)
β +
ε +
(Be)
Lα
+ β
+ (B
e)449
E1
α +
β +
(Βe)
L
β, (
Be)
451
d2
ξ +
γ +
(B
e)
119
Landolt-BörnsteinNew Series IV/11A1
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Al–Be–Mg
20
40
60
80
20 40 60 80
20
40
60
80
Be Mg
Al Data / Grid: at.%
Axes: at.%
E1
p3p2
e3
e4
e4
e5
e1
L1+L2
(Be)
α
β
Fig. 2: Al-Be-Mg.
Liquidus surface
20
40
60
80
20 40 60 80
20
40
60
80
Be Mg
Al Data / Grid: at.%
Axes: at.%
β + γ + (Be)
β + (Be)
α + β + (Be)
α + (Be)
Fig. 3: Al-Be-Mg.
Isothermal section of
the Al-corner at room
temperature after
[1943Mon]
120
Landolt-BörnsteinNew Series IV/11A1
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Al–Be–Mg
10 20300
400
500
600
700
800
900
1000
1100
Be 0.00Mg 10.97Al 89.03
Be 24.96Mg 0.00Al 75.04Be, at.%
Tem
pera
ture
, °C
α+(Be)
α
508°C
α+(Be)+Lα+L
605°C
(Be)+L
L
1006°C
10 20300
400
500
600
700
800
900
1000
1100
Be 42.82Mg 0.00Al 57.18
Be 0.00Mg 21.70Al 78.29Mg, at.%
Tem
pera
ture
, °C
α+β+(Be)
α+(Be)
α+(Be)+L L+α
540°C
644°C
(Be)+L
L
449
Fig. 4: Al-Be-Mg.
Vertical section at 90
mass% Al
[1929Mas]
Fig. 5: Al-Be-Mg.
Vertical section at 80
mass% Al; after
[1929Mas]
121
Landolt-BörnsteinNew Series IV/11A1
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Al–Be–Mg
40 50
500
750
1000
1250
Be 41.82Mg 23.26Al 34.92
Be 42.81Mg 0.00Al 57.19Al, at.%
Tem
pera
ture
, °C
α+β+(Be)α+(Be)
644°C
L+(Be)
1100°C
L1+L2+(Be)
L1+L2L
449
20400
500
600
700
800
900
1000
1100
1200
1300
Be 74.14Mg 11.01Al 14.85
Be 74.96Mg 0.00Al 25.04Al, at.%
Tem
pera
ture
, °C
α+β+(Be)α+(Be)
L+(Be)
644°C
L1+L2+(Be) k'
LL1+L2
1150°C
449
Fig. 7: Al-Be-Mg.
Partial vertical
section at 20 mass%
Be; after [1966Nag]
Fig. 6: Al-Be-Mg.
Partial vertical
section at 50 mass%
Be; after [1966Nag]
122
Landolt-BörnsteinNew Series IV/11A1
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Al–Be–Mg
60 70 80 90400
500
600
700
Be 1.70Mg 42.05Al 56.25
Be 1.78Mg 0.00Al 98.22Al, at.%
Tem
pera
ture
, °C
α+β+(Be)
α+(Be)
L+α+(Be)
L+α
L
650°C644°C
449
Fig. 8: Al-Be-Mg.
Partial vertical
section at 0.6 mass%
Be; after [1966Nag]
123
Landolt-BörnsteinNew Series IV/11A1
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Al–C–Fe
Aluminium – Carbon – Iron
Gautam Ghosh
Literature Data
After preliminary investigations [1930Kei, 1931Soe] the first detailed studies of the iron corner of the
system were reported by [1934Mor, 1936Vog] and [1938Loe]. The system was reinvestigated later by
[1968Nis, 1969Loe, 1980Gor1] and [1980Gor2]. For studying the Fe-rich side [1968Nis] prepared 24
ternary alloys using electrolytic Fe, graphite (99.8% C) and Al (99.99%) in an argon atmosphere. As C does
not dissolve in liquid Al-Fe alloys [1936Vog, 1938Loe] and [1968Nis], the ternary alloys were always
prepared by adding Al to liquid C-Fe alloys. They were isothermally annealed between 1000 and 1250°C
over a period of 1.5 to 6h in an argon atmosphere. Then the samples were quenched in iced brine and
examined by means of X-ray diffraction, metallography and hardness measurements. Using thermodynamic
data from [1987Yok] liquidus curves were calculated which agree fairly well with the values measured at
1600°C [1955Chi, 1963Mor]. [1986Sch] investigated the iron rich part of the liquidus surface by isothermal
saturation of melts and by thermal analysis. [1987Sch] calculated the surfaces of primary crystallization of
Fe, Fe and graphite.
[1989Ode] investigated the ternary system in the temperature range of 1500 to 2300°C. He reported
isothermal sections of the entire system and also the solubility of C in two Al-Fe liquid alloys. Using 99.99
mass% Fe, [1989Ode] prepared several binary Al-Fe alloys, which were equilibrated in graphite crucibles,
heated in a graphite resistance furnace above atmospheric pressure of high purity Ar. Isothermal sections
were constructed from the chemical analyses and metallographic observations.
These results were assessed by [1987Rag], [1990Gho] and [1993Rag].
Recently, [1995Pal] reinvestigated the phase equilibria of the Fe-corner and reported the liquidus surface,
three isothermal sections and three temperature-composition sections. [1995Pal] used 99.99% Al, 99.97%
Fe and graphite. They prepared 50 ternary alloys by arc melting. The alloys were equilibrated at 1200 (24
or 2 h), 1000 (50h) and 800°C (240h) and water quenched. The microstructure and phases were
characterized by EPMA, SEM and XRD.
The effect of pressure on the phase equilibria has been studied by [1978Kam, 1992Put]. [1996Koc]
presented a review of the effect of pressure on the Al-C-Fe phase equilibria. [1978Kam] determined the
liquid/solid equilibria of Fe-rich alloys up to 10 GPa. [1992Put] quenched ternary alloys from 1527 to 25°C
at a pressure of 6 GPa. They determined the solid-state phase equilibria using metallography, microprobe
and XRD techniques.
All these results have been reviewed by [1987Rag, 1993Rag, 2002Rag]. Raghvan [2002Rag] has provided
an update summerizing these results.
Binary Systems
The Al-C binary is accepted from [2003Per]. Both liquid and solid solubilities of C in Al are very limited
and the only reported compound in this system is Al4C3. The Al-Fe binary is accepted from [2003Pis]. The
C-Fe binary is adopted from [1982Kub]. Since Al is a graphite stabilizer the stable form (graphite) of the
C-Fe diagram is accepted here.
Solid Phases
The known solid phases are listed in Table 1. So far only one ternary phase Fe3AlCx( ) has been reported
[1934Mor, 1938Loe, 1958Hue, 1961Hen, 1962Mas, 1964Bae, 1964Pal, 1968Nis, 1971Kuc, 1973Nud,
1975Ver, 1976Pog]. Structurally, Fe and Al form an AuCu3-type superlattice in which C atoms occupy
interstitial positions. The x in the formula Fe3AlCx can vary from 0.5 to 1.0. [1985Cho] reported the
variation of lattice parameter as a function of x: a = 366.26±0.33+0.59x, in pm. However, to account for the
atom distributions and deviation from stoichiometry the formula Fe4-yAlyCx has been suggested [1985And]
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Landolt-BörnsteinNew Series IV/11A1
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Al–C–Fe
for the phase. [1985And] did not report the ranges for x and y. Adopting this formula, [1995Pal] reported
the composition dependence of lattice parameter of as: a = 362.5+0.14 (at.% Al)+0.72 (at.% C), in pm.
This empirical relationship is valid in the composition range between Fe3.2Al0.8C0.71 and Fe2.8Al1.2C0.42.
The data of [1983Lys] also confirm the increase in lattice with Al content in phase.
Invariant Equilibria
Figure 1 shows the partial reaction scheme based on the experimental results for the Fe-rich alloys
[1995Pal]. However, [1993Rag] presented a complete reaction scheme based on the thermodynamic
calculations of [1991Kum].
The invariant temperatures for U1, U2 and U3 reactions differ by less than 20°C compared with earlier
results [1938Loe, 1969Loe, 1985Gor, 1986Sch]. Within the composition range studied by [1969Loe], the
solidification was not complete, and the complete path starting from the U2 reaction is not known. The
temperature of the U4 reaction is 825°C [1995Pal] which higher than 780°C reported by [1980Gor2]. The
temperature of the three-phase peritectic reaction p2 is 1410°C [1995Pal], and the temperature of the
three-phase eutectic reaction e1 is 1335°C [1995Pal] which is much lower than 1410°C suggested by
[1986Sch]. The compositions of the phases [1995Pal] participating in the invariant reactions are listed in
Table 2. The predicted invariant temperatures [1991Kum], based on thermodynamic modeling, for U1, U2,
U3 and U4 reactions agree within 5°C of the experimental values reported by [1995Pal].
Liquidus Surface
Figure 2 shows the liquidus surface and the extent of the fields of primary crystallization of the phases ,
, and graphite [1995Pal]. They observed significant differences in compositions of phases participating
in the invariant equilibria, particularly , , and , compared with earlier results [1938Loe, 1969Loe,
1980Gor1]. The liquidus surfaces of both [1936Vog, 1980Gor1] were rejected. [1936Vog] assumed that the
double carbide reported by [1934Mor] was a ternary solid solution of the high temperature phase of the
Al-Fe system. [1980Gor1] presented the liquidus surface as Al-C-Fe containing both graphite and
cementite. However, here we accept the stable form of the C-Fe diagram. With the addition of Al to the
binary C-Fe alloys, the temperature of the graphite eutectic reaction increases [1930Kei, 1931Soe, 1938Loe,
1977Car, 1988Mag] and the eutectic carbon content decreases up to the addition of about 10 mass% Al.
Isothermal Sections
Figures 3, 4, 5 show isothermal sections of the Al-C-Fe system at 2000°C, 1850°C and 1700°C respectively
after [1989Ode]. Isothermal sections of the Fe-rich corner have been investigated several times [1934Mor,
1936Vog, 1938Loe, 1959Vyk, 1968Nis] and [1995Pal]. Three isotherms at 1200, 1000, and 800°C reported
by [1995Pal] are shown in Figs. 6, 7 and 8, respectively. [1968Nis] reported isothermal sections at 1250,
1200, 1100 and 1000°C. The results of [1968Nis] and [1995Pal] essentially agree very well in terms of the
topology of the phase fields. However, the main differences between these two sets of results are that
[1995Pal] reported higher Al solubility in , higher C solubility in , and larger homogeneity range of the
phase. The isothermal section determined by [1934Mor] is essentially the same as [1968Nis] except for
the extents of the ( + ), ( + +graphite) and ( + + ) regions. As aluminum is a graphitizing element, the
fraction of graphite formation increases with the addition of aluminum, giving a maximum at about 4
mass% Al and then decreases to about zero at 10 mass% Al. The double carbide Fe3AlCx appears in the
composition range of about 10-17 mass% Al. Beyond 17 mass% Al, graphite again dominates the phase
equilibria. As shown in Figs. 6, 7 and 8 with increasing temperature the homogeneity range of increases.
Temperature – Composition Sections
[1936Vog] determined several isopleths at 2, 7, 10, 13 and 20 mass% Al and at 0.5, 1.0, 1.4, 2.0 and 2.7
mass% C. [1938Loe] reported the vertical sections at 0.5, 7, 10 and 15 mass% Al and 0.4, 0.7, 1.1 and 2.2
mass% C. [1967Ken] determined a vertical section at 0.3 mass% C.
125
Landolt-BörnsteinNew Series IV/11A1
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Al–C–Fe
[1995Pal] reported three vertical sections at 5, 10.5 and 23 at.% C. These are shown in Figs. 9, 10 and 11,
respectively.
Thermodynamics
Thermodynamics of ternary Al-C-Fe alloys have been reported by [1955Chi, 1963Mor, 1973Rim, 1974Sig,
1977Cho, 1983Jan, 1983Vre, 1987Yok] and [1991Kum]. Among these, the thermodynamic modeling of
[1991Kum] is the most comprehensive. Aluminum increases the activity of C in liquid iron. [1978Zhu,
1979Zhu] provided the thermodynamic explanations of the composition dependence of the graphitizing
power of Al in ternary alloys.
[1987Yok] calculated isothermal sections at 2027 and 1600°C. On the other hand, [1991Kum] calculated
eight isothermal sections at 2000, 1850, 1700, 1300, 1200, 1100 and 800°C, and also presented a complete
reaction scheme.
Notes on Materials Properties and Applications
The atomic and magnetic structures of the phase have been discussed by several authors [1985And,
1994Mor, 1994Oda, 1995Fuj, 1998Iva]. The latter authors found that the stoichiometric Fe3AlC is
paramagnetic while non-stoichiometric Fe3AlC0.64 is ferromagnetic with Tc = 210°C. The magnetic
moment of Fe is determined primarily by the nearest neighbour C atoms. Quantum-mechanical calculations
show that the transition from para to ferromagnetic state, with increasing Al content, is caused by the charge
transfer and p-d hybridization [1994Mor].
[1989Jun] and [1997San] investigated the strength, ductility and creep of Fe3AlCx alloys. These were either
single phase, duplex and three-phase microstructures containing ( Fe) and/or graphite phase. The strength
and ductility were sensitive to microstructure. [1989Jun] found that the creep exponent is 4.4 ± 1.1, and
activation energy is 355 kJ mol-1 for single phase , 365 kJ mol-1 for +graphite microstructure, 244
kJ mol-1 for +( Fe) microstructure, and 365 kJ mol-1 for +( Fe)+graphite microstructure. On the other
hand, [1997San] reported that in Fe3AlCx (0.3 x 0.8) alloys the stress exponent for creep is 3 and
activation energy lies between 250 to 320 kJ mol-1.
The hardening, softening, tensile and compressive properties of B2 alloys [2001Mun, 2001Oca, 2001Rad,
2002Bal]. The hardening and softening of the B2 phase have been attributed to the precipitation of
Fe3AlC0.5 and graphite, respectively.
[1991Jia] investigated the shape memory behavior in an Fe-7Al-2C (at.%) alloy. They found that the shape
memory effect is restricted by the alloy brittleness and precipitation of carbide. The precipitation of phase
during aging of martensite has also been reported by [1982Suy] and [1983Lys].
Miscellaneous
[1989Ode] reported the solubility of C in liquid Fe-12.5Al (at.%) and Fe-25.0Al (at.%) alloys over an
extended temperature range. The C solubility can be expressed as:
In Fe-12.5 at.% Al:
C = - 0.55067+0.01112 T (in °C)
In Fe-25.0 at.% Al:
C = - 8.46728+0.01373 T (in °C)
The solid solubility of C in Al-Fe ferrite has been measured by [1966Jae]. Whose results, in the temperature
range of 548 to 723°C and up to 2.1 mass% Al, can be described by the empirical equation:
log (mass% C) = - 2200/T+0.0675 (mass% Al)+0.52,
where T is in K.
Using single crystals, [1995Pal] investigated the effect of C on the order-disorder transition temperature
involving ( Fe) and B2 phases. Their results are shown in Fig. 12. It is obvious that at a constant Al content,
C increases the order-disorder temperature. This was attributed to the fact that in B2 structure six Fe atoms
create favorable sites for the C atoms.
126
Landolt-BörnsteinNew Series IV/11A1
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Al–C–Fe
[1978Kam] reported that under high pressure, cementite is stabilized despite the presence of significant
quantity of graphitizing elements. Also, under high pressure the primary crystallization products of liquid
Fe-rich ternary alloys were reported to be austenite, graphite, cementite and diamond.
Figure 13 shows the 25°C isothermal section at pressure of 6 GPa. An important feature to be noted that in
addition to the binary phases at ambient pressure, high pressure phases FeAl6, Fe7C3 and diamond.
[1991Sar] investigated the microstructure of Fe-(8 to 10) wt.% Al-(1.8 to 2.4) wt.% C alloys by melt
spinning and levitation melting. They found the melt spun alloys yielded + ’(L12) microstructure while
levitation melting always yielded + +Fe3C microstructure.
Fe-rich alloys containing Al and C undergoes martensitic transformation [1986And]. One particular feature
of Al-C-Fe martensite that has receive numerous attention is the abnormally high tetragonality [1972Lys,
1980Dra, 1980Lys, 1981Koz, 1981Lys, 1986Lys, 1986Pro1, 1986Pro2, 1992Ueh]. The abnormal
tetragonality has been attributed to the presence of short-range order, nanoscale fcc ordered (L12) domains
and the elastic strain fields around them.
References
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Arch. Eissenhuettenwes., 4, 221-224 (1930) (Equi. Diagram, Experimental, 8)
[1931Soe] Soehnenchen, E., Piwowarsky, E., “The Influence of the Alloy Elements Ni, Si, Al and P on
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111-120 (1931) (Experimental, 49)
[1934Mor] Morral, F.R., “The Constitution of Iron-Rich Iron-Aluminium-Carbon Alloys”, J. Iron Steel
Inst., London, 130, 419-428 (1934) (Equi. Diagram, Experimental, #, *, 45)
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Experimental, #, 20)
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Carbides in Alloy Steels and Their Effects on the Mechanical Properties”, Mem. Sci. Rev.
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Fiz. Metall. Metalloved., 14, 633-635 (1962) (Experimental, Mechan. Prop., 12)
[1963Mor] Mori, T., Fujimura, K., Kanoshima, H., “Effects of Aluminium, Sulphur and Vanadium on
the Solubility of Graphite in Liquid Iron”, Mem. Fac. Eng. Kyoto Imp. Univ., 25, 83-105
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[1964Bae] Bäcker, L., “Contribution on the Study of the Distribution of Alloy Constituents Between
Cementite and Ferrite in Steels”, Mem. Sci. Rev. Metall., 61, 865-892 (1964) (Experimental,
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Alloys”, Sov. Phys.-Crystallogr., (Engl. Transl.), 9, 163-165 (1964), translated from
Krystallografiya, 9, 209-212 (1964) (Crys. Structure, Experimental, 9)
[1966Jae] Jaeniche, W., Brauner, J., Heller, W., “Effect of Aluminium on the Damping Curve and
Solubility of Carbon in Iron”, Arch. Eissenhuettenwes., 37, 719-728 (1966)
(Experimental)
127
Landolt-BörnsteinNew Series IV/11A1
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Al–C–Fe
[1967Ken] Kenford, A.S., Rance, V.E., Turner, S., “Constitution, T-T-T Characteristics and
Hardenability of a 0.3% Steel with Al Additions up to 2.45%”, J. Iron Steel Inst., London,
205, 665-667 (1967) (Experimental, #, 11)
[1968Nis] Nishida, K., “A Study of Fe-Al-C Alloys” (in Japanese), Hokkaido Daigaku Kogakubu
Kenkyu Hokoku, (48), 71-108 (1968) (Equi. Diagram, Experimental, #, 8)
[1969Loe] Loehberg, K., Ueberschaer, A., “On the Additional Transition Reaction in the Fe Corner of
the Fe-C-Al System” (in German), Giessereiforschung, 21, 171-173 (1969) (Equi. Diagram,
Experimental, #, *, 6)
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Containing 6.43% C”, (in French), Compt. Rend. Acad. Sci. Paris, Ser. C, 272C, 898-901
(1971) (Crys. Structure, Experimental, 10)
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Three- and Multicomponent Systems” (in German), Thesis, Tech. Univ. Clausthal, (1973)
(Experimental, 40)
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Cast Iron”, Int. Conf. Solidification Casting, Sheffield, Vol. 1, Metals Society, London,
115-124 (1977) (Experimental, #, 19)
[1977Cho] Choudary, U.V., Belton, G.R., “Activities of Carbon- Saturated in Fe-Al Alloys and
Stability of Al4C3 at 1873 K”, Metall. Trans. B, 8B, 531-534 (1977) (Experimental,
Thermodyn., 23)
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on the Equilibria with the Melt in the Iron-Carbon System Under High Pressure”, Phys. Met.
Metallogr., 45, 101-111 (1979), translated from Fiz. Metall. Metalloved., 45, 569-579
(1978) (Equi. Diagram, Experimental, Thermodyn. *, 27)
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Graphitizing Elements”, Izv. Akad. Nauk SSSR, Met., (5), 210-218 (1978) (Thermodyn., 8)
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Graphitizing Elements”, Met. Forum, 2, 127-136 (1979) (Experimental, Thermodyn., 13)
[1980Dra] Drachinskaya, A.G., Lysak, L.I., Storchak, N.A., “Role of Mn and Al in Alterning the
Crystalline Structure of Martensite Heated in the Low-Temperature Range”, Phys. Met.
Metallogr., 47, 80-86 (1980) (Crys. Structure, Experimental, 22)
[1980Gor1] Gorev, K.V., Gurinovich, V.I., “The Diagram of State of Fe-Al-C Alloys with a Low
Content of Aluminium”, Vest. Akad. Navuk B. SSR (Fiz.-Tekh.) Navuk, (4), 26-30 (1980)
(Equi. Diagram, Experimental, 7)
[1980Gor2] Gorev, K.V., Gurinovich, V.I., Topalov, Yu.F., “Phase Composition and Structure of Iron
Alloys with Carbon and Aluminium Adjacent to the Iron Corner”, Vest. Akad. Navuk B. SSR
(Fiz.-Tekh.) Navuk, (3), 27-34 (1980) (Experimental, 7)
128
Landolt-BörnsteinNew Series IV/11A1
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Al–C–Fe
[1980Lys] Lysak, L.I., Drachinskaya, A. G., Andryushchenko, V.A., “On the Nature of the
Abnormally High Tetragonality of the Martensite Lattice of Fe-Al-C Alloys”, Russ. Metall.,
6, 166-167 (1980) (Crys. Structure, Experimental, 12)
[1981Koz] Kozlova, O.S., Makarov, V.A., “Mössbauer Study of the Austenite of Alloy Fe-Al-C”,
Phys. Met. Metallogr., 48, 63-67 (1981) (Crys. Structure, Experimental, 17)
[1981Lys] Lysak, L.I., Drachinskaya, A.G., Andryushchenko, V.A., Bogaichuk, I.L., “The Role of
Aluminium and Carbon in the Formation of the Anomalous Tetragonality of the
-Martensite of Fe-Al-C” (in Russian), Fiz. Met. Metalloved., 52(5), 1068-1073 (1981)
(Crys. Structure, Experimental, 13)
[1982Kub] Kubaschewski, O., “Iron-Aluminium and Iron-Carbon”, Iron - Binary Phase Diagrams,
Springer Verlag, Berlin, 5-9, 23-31 (1982) (Equi. Diagram, Review, #, 26, 21)
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Fe-Cmax-Co, Fe-Cmax-Cu Alloys”, Metal. Odlew., 9, 99-118 (1983) (Experimental, 10)
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Composition of Alloy Fe-Al-C on Formation of an Ordered Carbide Phase”, Phys. Met.
Metallogr., 56(3), 183-185 (1983) (Experimental, 5)
[1983Vre] Vrestal, J., Pokorna, A., “Effects of Aluminium on the Thermodynamic Activity of Carbon
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in the -Phase of Fe-Al-C Alloys”, Phys. Met. Metallogr., 60(4), 50-55 (1985) (Crys.
Structure, Experimental, 13)
[1985Cho] Cho W.K., Han, K.H., “Phase Constitution and Lattice Parameter Relationships in Rapidly
Solidified (Fe0.65Mn0.35)0.83Al0.17-xC and Fe3Al1-xC Pseudobinary Alloys”, Metall. Trans.
A, 16A, 5-10 (1985) (Crys. Structure, Experimental, *, 14)
[1985Gor] Gorev K.V., Gurinovich, V.I., “The Stable Phase Diagram of Fe-C-Al Alloys in the
Iron-Rich Region” (in Russian), in “Stable and Metastable Phase Equilibria in Metallic
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[1986And] Andrushchenko V.A., Lysak, L.I., “Two Stage Kinetics of the Martensitic Transformation
in Alloy Fe-Al-C”, Phys. Met. Metallogr., 61(1), 92-97 (1986) (Crys. Structure,
Experimental, 9)
[1986Lys] Lysak, L.I., Drachinskaya, A.G., Andryushchenko, V.A., “Influence of Atomic Ordering on
the Phase and Structural Changes in High-Carbon Alloys of the Fe-Al-C System”, Met. Sci.
Heat Treat. (USSR), (7), 485-487 (1986), translated from Metalloved. Term. Obrab. Met.,
(7), 20-21 (1986) (Crys. Structure, Experimental, 6)
[1986Pro1] Prokoshkin, S.D., Kaputkina, L.M., Bernshtein, M.L., Moszhukhin, V.E., Andreeva,S.A.,
“The Structure of Martensite During Cluster Formation and Two-Phase Decomposition”,
Acta Metall., 34(1), 177-186 (1986) (Crys. Structure, Experimental, 29)
[1986Pro2] Prokoshkin, S. D., Kaputkina, L. M., Bernshtein, M. L., “The Mechanism of
Low-Temperature Lattice Changes of Martensite with Abnormal Tetragonality. Part 2.
Martensite with Abnormally High Tetragonality”, Scr. Metall., 20, 299-304 (1986) (Crys.
Structure, Experimental, 20)
[1986Sch] Schürmann, E., Schweinichen, J.V., “Investigation of the Liquidus Equilibria of Iron Rich
Carbon Containing Ternary Systems Fe-C-X with X = Al, Cu, Ni and Cr” (in German),
Giessereiforschung, 38, 125-132 (1986) (Review, Equi. Diagram, Experimental, 63)
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Ternary Iron Alloys. Part I”, ASM International, Metals Park, OH, 89-97 (1987) (Equi.
Diagram, Review, 30)
[1987Sch] Schürmann, E., Schweinichen, J.V., Völker R., Fischer, H., “Calculation of the / resp.
Liquidus Surfaces of Iron and the Liquidus Surface of Carbon as well as the Lines of Double
129
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–C–Fe
Saturation in Iron Rich Carbon Containing Ternary and Higher Systems Fe-C-X1-X2” (in
German), Giessereiforsch., 39, 104-113 (1987) (Review, Equi. Diagram, Thermodyn., 19)
[1987Yok] Yokokawa, H. Fujishige, M., Ujie, S., Dakiya, M., “Phase Relations Associated with the
Aluminum Blast Furnace: Aluminum Oxycarbide Melts and Al-C-X (X=Fe,Si) Liquid
Alloys”, Metall. Trans. B, 18B, 433-444 (1987) (Review, Thermodyn., 74)
[1988Mag] Magnin, P., Kurz, W., “ Stable and Metastable Eutectic Temperatures of Fe-C with Small
Additions of a Third Element”, Z. Metallkd., 79, 282-284 (1988) (Experimental, 5)
[1989Jun] Jung, I., Sauthoff, G., “High-Temperature Deformation Behavior of the Perovskite-type
Phases Fe3AlC and Ni3AlC”, Z. Metallkd., 80, 490-496 (1989) (Experimental, 45)
[1989Ode] Oden, L.L., “Phase Equilibria in the Al-Fe-C System: Isothermal Sections 1500°C to
2300°C”, Metall. Trans. A, 20A, 2703-2706 (1989) (Experimental, Equi. Diagram, #, *, 12)
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MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart; Document ID: 10.13509.1.20 (1990) (Equi. Diagram, Review, 40)
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Mater., 25(11), 2435-2440 (1991) (Experimental, 13)
[1991Kum] Kumar K.C.H., Raghavan, V., “A Thermodynamic Analysis of the Al-C-Fe System”,
J. Phase Equilib., 12(3), 275-286 (1991) (Equi. Diagram, *, 32)
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Undercooled Fe-Al-C and Fe-(Ni, Mn)-Al-C Alloys”, Mater. Sci. Eng. A, 136, 141-149
(1991) (Crys. Structure, Equi. Diagram, Experimental, 12)
[1992Put] Putyatin, A.A., Davydov, V.E., Nesterenko, S.N., “High Temperature Interactions in the
Fe-Al-C System at 6 GPa Pressure”, J. Alloy. Compd., 179(1-2), 165-175 (1992) (Equi.
Diagram, Experimental, #, *, 16)
[1992Ueh] Uehara, S., Kajiwara, S., Kikuchi, T., “Origin of Abnormally Large Tetragonality of
Martensite in High Carbon Iron Alloys Containing Aluminum”, Mater. Trans., JIM, 33(3),
220-228 (1992) (Crys. Structure, Experimental, 34)
[1993Rag] Raghavan, V., “Al-C-Fe (Aluminum-Carbon-Iron)”, J. Phase Equilib., 14(5), 615-616
(1993) (Equi. Diagram, Review, 10)
[1994Mor] Moravetski, V.I., Andryushchenko, V.A., Sheludchenko, L.M., “Computer Simulation of
the Electronic Structure of the Fe(4-y)Al(y)C Carbide Phase in its Para- and Ferromagnetic
States”, J. Phys. Chem. Solids, 55(2), 195-200 (1994) (Crys. Structure, Theory, 9)
[1994Oda] Oda, K., Fujimura, H., Ino, H., “Local Interactions in Carbon-Carbon and Carbon-M (M:
Al, Mn, Ni) Atomic Pairs in FCC -Iron”, J. Phys., Condens. Matter, 6, 679-692 (1994)
(Experimental, 32)
[1995Fuj] Fujimura, H., Ino, H., “Ordering of -Phase and Formation of -Phase in Melt-Quenched
Fe-Al-C Alloys and Treir Magnetic Structures” (in Japanese), J. Jpn. Inst. Met., 59(7),
686-693 (1995) (Crys. Structure, Equi. Diagram, Moessbauer, 29)
[1995Pal] Palm, M., Inden, G., “Experimental Determination of Phase Equilibria in the Fe-Al-C
System”, Intermetallics, 3, 443-454 (1995) (Equi. Diagram, Experimental, #, *, 33)
[1996Koc] Kocherzhinski, Yu.A., Kulik, O.G., “Equilibrium Phase Diagrams and Manufacture of
Synthetic Diamond”, Powder Metall. Met. Ceram., 35(7-8), 470-483 (1996) (Equi.
Diagram, Experimental, 37)
[1997San] Sanders, W., Sauthoff, G., “Deformation Behaviour of Perovskite-type Phases in the
System Fe-Ni-Al-C. I: Strength and Ductility of Ni3AlCx and Fe3AlCx Alloys with Various
Microstructures”, Intermetallics, 5, 361-375 (1997) (Equi. Diagram, Experimental, 57)
[1998Iva] Ivanovskii, A.L., Sabiryanov, R.F., Skazkin, A.N., “Band Structure and Magnetic
Properties of M3M’C Antiperovskites (M=Mn, Fe; M’= Zn, Al, Ga, Sn)”, Phys. Solid State,
40(9), 1516-1519 (40) (Calculation, 16)
[2001Mun] Munitz, A., Fields, R.J., “Mechanical Properties of Hot Isostatically Pressed Nanograin Iron
and Iron Alloy Powder”, Powder Met., 44(2), 139-147 (2001) (Crys. Structure,
Experimental, Mechan. Prop., 14)
130
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–C–Fe
[2001Oca] Oca, C.G., Morris, D.G., Munoz-Morris, M.A., “The Role of Carbon and Vacancies in the
Quench Hardning and Age Softening of a Fe-40Al-C Alloy”, Scr. Mater., 44(4), 561-568
(2001) (Experimental, Mechan. Prop., 14)
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Properties of FeAl Based Intermetallic Alloy”, Scr. Mater., 45(9), 1077-1082 (2001) (Crys.
Structure, Experimental, Mechan. Prop., 18)
[2002Bal] Baligidad, R.G., Radhakrishna, A., “Effect of B, Zr, Ce and Nb Addition on Structure and
Mechanical Properties of High Carbon Fe-10.5 wt% Al Alloy”, J. Mater. Sci. Lett., 21(16),
1231-1235 (2002) (Experimental, Mechan. Prop., 17)
[2002Rag] Raghavan, V., “Al-C-Fe (Aluminum-Carbon-Iron)”, J. Phase Equilib., 23 (6), 508-510
(2002) (Equi. Diagram, Review, 6)
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Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart, to be published, (2003) (Equi. Diagram, Review, 19)
[2003Pis] Pisch, A., “Al-Fe (Aluminum-Iron)” MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; to be published, (2003) (Equi. Diagram, Review, 58)
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al) cF4
Fm3m
Cu
a = 404.88 Pure Al at 24°C
[V-C]
(C) hP4
P63/mmc
C (graphite)
a = 246.4
c = 671.1
[V-C]
, ( Fe)(h2) cI2
Im3m
W
a = 293.78 pure Fe at 1480°C
[V-C]
, ( Fe)(h1) cF4
Fm3m
Cu
a = 366.60 pure Fe at 1167°C
[V-C]
, ( Fe)(r) cI2
Im3m
W
a = 286.65 pure Fe at 20°C
[V-C]
Al4C3 hR7
R3m
Al4C3
a = 855.0
= 22.28°
[V-C]
1, Fe3Al
552
cF16
Fm3m
BiF3
a = 579.23 [V-C]
Solid solubility ranges from 22.5 to 36.5
at.% Al
2, FeAl
1310
cP2
Im3m
CsCl
a = 290.9 [V-C]
Solid solubility ranges from 22 to 54.5
at.% Al
131
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–C–Fe
Table 2: Invariant Equilibria
, Fe2Al31215-1092
cI16 [1982Kub]; Solid solubility ranges from
54.5 to 62.5 at.% Al
, FeAl2 1154
aP18
P1
FeAl2
a = 487.8
b = 646.1
c = 880.0
= 91.75°
= 73.27°
= 96.89°
[V-C]
Solid solubility ranges from 65.5 to 67
at.% Al
, Fe2Al5 1171
oC56
Cmcm
a = 767.5
b = 640.3
c = 420.3
Solid solubility ranges from 71 to 72.5
at.% Al
, Fe4Al13
1160
mC102
C2/m
Fe4Al13
a = 1548.9
b = 808.3
c = 1247.6
= 107.72°
[V-C]
Solid solubility ranges from 74.5 to 75.5
at.% Al
sometimes called FeAl3 in the literature
, Fe3AlCx cP5
Pm3m
CaTiO3
a = 366.6 to 366.8
a = 375.8
0.5 x 1.0
Solid solubility is up to 14 at.% C and 21
at.% Al [V-C]
Reaction T [°C] Type Phase Composition (at.%)
Al C Fe
L + + 1315 U1 L
6
20.2
27.0
24.5
24.0
7.9
0.7
4.0
8.5
71.9
72.3
71.5
67.7
L + + C 1295 U2 L
C
34.2
27.3
33.7
0.0
5.4
8.7
0.7
100.0
60.4
64.0
65.6
0.0
L + + C 1282 U3 L
C
13.4
19.0
16.5
0.0
12.4
13.0
4.5
100.0
74.2
68.0
79.0
0.0
+ + C 825 U4
C
8.5
17.6
8.5
0.0
4.7
14.6
0.7
100.0
86.7
67.8
90.0
0.0
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
132
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–C–Fe
Fig. 1: Al-C-Fe. Reaction scheme
C-Fe
l + α γ1495 p
1
L + (C) κ1410 p
2
Al-C-Fe
L + α γ + κ1315 U1
Al-C
γ α + (C)
738 e3
l γ + (C)
1154 e2
L + κ γ + (C)1282 U3
γ + κ α + (C)825 U4
L α + κ1335 e
1
L + κ α + (C)1295 U2
α + γ + κL + γ + κ
κ + γ + (C)
α + κ + (C)
κ + α + (C) L + α + (C)
?
60
70
80
90
10 20 30 40
10
20
30
40
Fe Fe 50.00Al 50.00C 0.00
Fe 50.00Al 0.00C 50.00 Data / Grid: at.%
Axes: at.%
U2α
p2
U1
U3κ
graphite
1300
1200
1400
1500 1350
e2
p1
γ
14501300
1500e1
Fig. 2: Al-C-Fe.
Liquidus surface
133
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–C–Fe
20
40
60
80
20 40 60 80
20
40
60
80
Fe Al
C Data / Grid: at.%
Axes: at.%
L
Al4C3L+(C)
L+Al4C3
L+(C)+Al4C3
(C)Fig. 3: Al-C-Fe.
Isothermal section at
2000° C
20
40
60
80
20 40 60 80
20
40
60
80
Fe Al
C Data / Grid: at.%
Axes: at.%
L
Al4C3L+(C)
L+Al4C3
L+(C)+Al4C3
(C)Fig. 4: Al-C-Fe.
Isothermal section at
1850°C
134
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–C–Fe
20
40
60
80
20 40 60 80
20
40
60
80
Fe Al
C Data / Grid: at.%
Axes: at.%
L+(C)+Al4C3Al4C3
L+Al4C3
L
L+(C)
(C)Fig. 5: Al-C-Fe.
Isothermal section at
1700°C
60
70
80
90
10 20 30 40
10
20
30
40
Fe Fe 50.00Al 50.00C 0.00
Fe 50.00Al 0.00C 50.00 Data / Grid: at.%
Axes: at.%
α
α+(C)
α+κ+(C)
κ+(C)
κ
α+κγ+κ
γ+κ+
(C)
γ+(C)
γ
L+γ
L
L+(C)
L+γ+
(C)
α+γ
Fig. 6: Al-C-Fe.
The isothermal
section at 1200°C
135
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–C–Fe
60
70
80
90
10 20 30 40
10
20
30
40
Fe Fe 50.00Al 50.00C 0.00
Fe 50.00Al 0.00C 50.00 Data / Grid: at.%
Axes: at.%
α
α+(C)
α+κ+(C)κ+(C)
κ
α+κα+κ
+γγ+κ
γ+κ+(C)γ+(C)
γα+γ
Fig. 7: Al-C-Fe.
The isothermal
section at 1000°C
60
70
80
90
10 20 30 40
10
20
30
40
Fe Fe 50.00Al 50.00C 0.00
Fe 50.00Al 0.00C 50.00 Data / Grid: at.%
Axes: at.%
κ
κ+(C)
α+κ+(C)
α+κ
α+κ+(C)
α+(C
)
γ+(C)
γ α+γα
Fig. 8: Al-C-Fe.
The isothermal
section at 800°C
136
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–C–Fe
10 20 30 40700
800
900
1000
1100
1200
1300
1400
1500
Fe 95.00Al 0.00C 5.00
Fe 50.00Al 45.00C 5.00Al, at.%
Tem
pera
ture
, °C
γ+L
γ
γ+(C)
α+(C)
α+κ
α+(C)
α+L+(C)
L+(C)α
+ κ+(C
)
α+γ+κ
α+γ
α +κ +
(C)
κ+γ
α+L
L
1315
1282
1295
825
7
56
21
3
4
1: L+α+γ2: L+α+κ3: L+γ+κ4: L+γ+(C)5: γ+(C)6: κ+γ+(C)7: α+γ+(C)
Fig. 9: Al-C-Fe.
The vertical section
at a constant C
content of 5.0 at.%
10 20 30700
800
900
1000
1100
1200
1300
1400
1500
Fe 89.50Al 0.00C 10.50
Fe 49.50Al 40.00C 10.50Al, at.%
Tem
pera
ture
, °C
L+(C)
α+L+(C)
L+κ+(C)
α+(C)
α+κ+(C)
L
L+γ
γ+(C)
α+(C) α+κ+(C)
κ
L+κ
κ+γ
κ +γ+
(C)
α +γ+κ
α+κ
κ+(C) 1295
1282
825
L+κ+γ
L+γ+(C)
α+γ+(C)
Fig. 10: Al-C-Fe.
The vertical section
at a constant C
content of 10.5 at.%
137
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–C–Fe
10 20800
900
1000
1100
1200
1300
1400
1500
1600
Fe 77.00Al 23.00C 0.00
Fe 47.00Al 23.00C 30.00C, at.%
Tem
pera
ture
, °C
L
L+(C)
L+κ+(C)
α+κ+(C)
κ+(C)
κα+κ
1: α+κ+L
α+L
L+κ1315
α
1295
α+γ+κ
3: γ+κ
α+γ
5: L+γ
2: γ+κ+L
6: α+γ+L
4: γ
1
234
56
Fig. 11: Al-C-Fe.
The vertical section
at a constant Al
content of 23.0 at.%
30 40
700
800
900
1000
1100
1200
1300
Fe 80.00Al 20.00
Fe 55.00Al 45.00
Al, at.%
Tem
pera
ture
, °C A2
B2
0 at.% C0.5-1.0 at.% CFig. 12: Al-C-Fe.
The effect of C on the
order-disorder
temperature of Al-Fe
alloys
138
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–C–Fe
20
40
60
80
20 40 60 80
20
40
60
80
Fe Al
C Data / Grid: at.%
Axes: at.%
Al4C3+κ+Dia
Fe7C3+κ+Dia
Al4C3
FeAl6Fe4Al13Fe2Al5FeAl2FeAlFe3Al
Fe3C
Fe7C3
Fe3AlC(κ)
Fig. 13: Al-C-Fe.
The isothermal
section at a pressure
of 6 GPa and at 25°C
139
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–C–Si
Aluminium – Carbon – Silicon
Hans Leo Lukas, updated by K.C. Hari Kumar
Literature Data
Phase diagram of the Al-C-Si system is of interest e.g. in the development of carbothermic reduction
process for producing aluminium from alumina and also for understanding interfacial reaction between
aluminium and silicon carbide in the of Al-based metal matrix composites containing SiC.
A ternary phase with the stoichiometry Al4SiC4 was first reported by [1961Bar]. Its presence was later
ascertained by [1978Sch, 1979Sch, 1980Ino1, 1980Ino2, 1984Beh, 1984Bey, 1984Kid, 1987Ode1,
1987Yok, 1990Ode, 1990Via]. [1961Bar] additionally proposed a polymorphic transition of Al4SiC4 phase,
but could not index the X-ray diffraction pattern. Other investigators could not confirm the transformation
of Al4SiC4, though [1978Sch, 1979Sch] described the presence of a low temperature phase between
Al4SiC4 and Al5C3N that formed a continuous series of solid solutions at high temperatures. Another
ternary phase, Al4Si2C5 was established by [1980Ino1, 1980Ino2] to be stable only at temperatures between
1900 and 1970°C. This phase could be retained at room temperature by rapid or moderately rapid cooling.
Other researchers [1984Kid, 1987Ode1] could not verify this phase, despite several attempts to prepare it.
[1984Kid] reported the existence of another phase Al8SiC7 that formed sluggishly between 2000 and
2100°C by a peritectic reaction. Existence of this phase was later confirmed by [1990Via].
[1987Ode1] determined the section Al4C3-SiC between 1900 and 2300°C by thermal analysis and X-ray
diffraction of hot pressed samples. The same authors determined the solubility of carbon in the liquid phase
at 2000 and 2150°C by chemical analysis of samples equilibrated in graphite crucibles and then rapidly
cooled. The carbide phases in equilibrium with melt were identified by X-ray diffraction. By careful
micrography, the authors verified that the parts of the samples analyzed corresponded to a homogeneous
liquid at the equilibration temperature. Complete isothermal sections at 2150 and 2000°C, as well as a
reaction scheme, were reported.
[1990Via] studied the Al-C-Si system under atmospheric pressure and at temperatures up to 1627°C, using
X-ray diffraction, optical microscopy, scanning electron microscopy and electron microprobe analysis.
Metastable isothermal sections at 567 and 997°C (i.e. without ternary carbides), stable isothermal section
at 1497°C, and stable and metastable liquidus projections near the Al-corner were elucidated. From the
results obtained, a thermodynamic model based on stable and metastable phase equilibria in the Al-C-Si
ternary system was set up in order to provide a general description of the chemical interaction between
aluminium and SiC. [2001Aks] also determined the metastable state of the phase diagram in Al-C-Si system
between 700 to 900°C, employing essentially same techniques as [1990Via]. Using their own experimental
data and data from literature they constructed metastable phase diagrams and their non-equilibrium variants
to explain specific features of crystallization of Al-SiC composite materials.
[1966Rom] investigated microstructure and mechanical properties of an Al-SiC composite material.
[1982Lil, 1985Lil] measured the compositions of the gaseous species in equilibrium with an Al-SiC mixture
and analyzed them thermodynamically. [1984Bey] determined the heat capacity of Al4SiC4 between 5.26
and 1047 K (774°C). [1984Beh] measured the partial pressure of Al(g) above Al4SiC4+SiC+C using
Knudsen Cell with mass spectrometry and evaluated thermodynamic functions of Al4SiC4. Referring to the
formation of Al4SiC4 from Al4C3 and SiC, the values are smaller than the uncertainties. [1987Ode2]
measured the molar heat capacity in the temperature range 174-1174°C and the enthalpy of peritectic
decomposition of Al4SiC4 and Al8SiC7 by DSC.
[1982Doe, 1987Yok, 1993Wen, 1996Gro] calculated the ternary phase diagram based on data from the
binary subsystems and the ternary phases. [1982Doe, 1987Yok] considered only the ternary carbides
Al4SiC4 and Al4Si2C5. [1993Wen, 1996Gro] included ternary phases Al4SiC4 and Al8SiC7, but ignored
Al4Si2C5 in their calculation of the phase diagram.
The present evaluation updates the work of [1990Luk] taking into account all literature published
since then.
140
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–C–Si
Binary Systems
Binary systems Al-Si [2003Luk] and Al-C [2003Per] are from the MSIT Binary Evaluation Program. The
C-Si phase diagram is from [1996Gro].
Solid Phases
Table 1 gives crystallographic details of the solid phases of the system. All the three ternary carbides lie
along Al4C3-SiC plane. Crystal structures of Al4SiC4 and Al4Si2C5 proposed by [1980Ino2] were said to
contain alternating layers of the Al4C3 and SiC structures. Al4Si2C5 is treated as metastable, since other
investigators could not establish its presence. For Al8C7Si, only the unit cell dimensions were given
[1984Kid].
Pseudobinary Systems
There are no true pseudobinary sections known in the system, although the section Al4C3-SiC below solidus
may be treated as pseudobinary (Fig. 5), since the amount of the phase C(gr.) is extremely low in this region.
Invariant Equilibria
The invariant equilibria associated with the liquid phase are given in Table 2. Figure 1 shows the reaction
scheme after [1987Ode1, 1996Gro] assuming the phase Al4C5Si2 to be metastable. All invariant reaction
temperatures and compositions are calculated using the thermochemical data from [1996Gro]. They are in
reasonable agreement with experimental data.
Liquidus Surface
The liquidus surface, calculated according to [1996Gro] is shown in Fig. 2. Isotherms above 2400°C are
drawn with dotted lines to indicate that at these temperatures gas phase should be present. A schematic view
of the Al corner is given in Fig. 2a. The calculated mole fractions of carbon for all the lines shown are
below 10-8.
Isothermal Sections
The calculated isothermal sections at 2150°C and 2000°C are shown in Fig. 3 and Fig. 4 respectively. They
agree well with those reported by [1987Ode1].
Temperature – Composition Sections
Figure 5 is the calculated vertical section along the Al4C3-SiC plane according to [1996Gro]. The solubility
of Si in Al4C3 is about 2 at.% at 2085°C. Note that the phase C(gr.) is not indicated in the sub-solidus region
of the diagram, since its amount is very low (< 6 10-4 mole%).
References
[1961Bar] Barczak, V.J., “Optical and X-Ray Powder Diffraction Data for Al4SiC4”, J. Am. Ceram.
Soc., 44, 299 (1961) (Experimental, Crys. Structure, 1)
[1966Rom] Romadin, Yu.P., Prosvirov, E.N., Pogodin-Alekseev, G.I., “Structure and Equilibria of a
Composite of Aluminium with Silicon Carbide” (in Russian), Metall. Term. Obra.
Metallov., (2), 46-48 (1966) (Experimental, 0)
[1978Sch] Schneider, G., “Investigations of Equilibria in the Si, Al, Be/C, N System” (in German),
Thesis, Univ. Stuttgart, (1978) (Experimental, Equi. Diagram, Crys. Structure, 71)
[1979Sch] Schneider, G., Gauckler, L.J., Petzow, G., “Phase Equilibria in the Si, Al, Be/C, N System”,
Ceramurgia Int., 5, 101-104 (1979) (Experimental, Equi. Diagram, Crys. Structure, 8)
[1980Ino1] Inoue, Z., Inomata, Y., Tanaka, H., “A New Phase of Aluminium Silicon Carbide,
Al4Si2C5”, J. Mater. Sci., 15, 255-256 (1980) (Experimental, Crys. Structure, 4)
141
Landolt-BörnsteinNew Series IV/11A1
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Al–C–Si
[1980Ino2] Inoue, Z., Inomata, Y., Tanaka, H., “X-Ray Crystallographic Data on Aluminium Silicon
Carbide, Al4SiC4 and Al4Si2C5”, J. Mater. Sci., 15, 575-580 (1980) (Experimental, Crys.
Structure, 4)
[1982Doe] Doerner, P., “Constitutional Investigations on High Temperature Ceramics of the
B-Al-C-Si-N-O System by Means of Thermochemical Calculations” (in German,), Thesis,
Univ. Stuttgart, 1982, (Thermodyn., Calculation, 126)
[1982Lil] Lilov, S.K., “Investigation of Aluminium Solubility Process in Silicon Carbide”, Cryst. Res.
Technol., 17, 783-786 (1982) (Theory, Thermodyn., 13)
[1984Beh] Behrens, R.G., Rinehart, G.H., “Vaporization Thermodynamics and Enthalpy of Formation
of Aluminum Silicon Carbide”, J. Am. Ceram. Soc., 67, 575-578 (1984) (Experimental,
Thermodyn., 13)
[1984Bey] Beyer, R.P., Johnson, E.A., “Heat Capacity of Aluminum Silicon Carbide (Al4SiC4) from
5.26 to 1047 K”, J. Chem. Thermodyn., 16, 1025-1029 (1984) (Experimental, Thermodyn.,
13)
[1984Kid] Kidwell, B.L., Oden, L.L., Mcune, R.A., “2Al4C3·SiC: A new Intermediate Phase in the
Al-Si-C System”, J. Appl. Crystallogr., 17, 481-482 (1984) (Experimental, Crys. Structure,
10)
[1984Ole] Olesinski, R.W., Abbaschian, G.J., “The C-Si (Carbon-Silicon) System”, Bull. Alloy Phase
Diagrams, 5, 486-489 (1984) (Review, Equi. Diagram, 28)
[1985Lil] Lilov, S.K., “Thermodynamic Analysis of the Equilibrium Composition of the Gas Phase in
the SiC-Al System” (in Russian), Electroprom-st. Priborostr., 20(2), 17-19 (1985) (Theory,
Thermodyn., 13)
[1987Ode1] Oden, L.L., McCune, R.A., “Phase Equilibria in the Al-Si-C System”, Metall. Trans. A,
18A, 2005-2014 (1987) (Experimental, Equi. Diagram, #, *, 19)
[1987Ode2] Oden, L.L., Beyer, R.P., “Heat Capacity of 2Al4C3·SiC from 447 to 1447 K and Enthalpy
of Peritectic Decomposition of Al4C3.2Al4C3 SiC, and Al4C3 SiC”, Thermochim. Acta,
115, 11-19 (1987) (Experimental, Thermodyn., 11)
[1987Yok] Yokokawa, H., Fujishige, M., Ujiie, S., Dokiya, M., “Phase Relations Associated with the
Aluminum Blast Furnace: Aluminum Oxycarbide Melts and Al-C-X (X=Fe,Si) Liquid
Alloys”, Metall. Trans. B, 18B, 433-444 (1987) (Review, Equi. Diagram, Thermodyn., 74)
[1990Ode] Oden, L.L., McCune, R.A., “Contribution to the Phase Diagram Al4C3-AIN-SiC”, J. Am.
Ceram. Soc., 77, 1529-1533 (1990) (Experimental, Equi. Diagram)
[1990Via] Viala, J.C., Fortier, P., Bouix, J., “Stable and Metastable Phase Equilibria in the Chemical
Interaction between Aluminium and Silicon Carbide”, J. Mater. Sci., 25(3), 1842-1850
(1990) (Experimental, Equi. Diagram, 28)
[1990Luk] Lukas, H.L., ”Al-C-Si (Aluminium - Cardon - Silikon),” MSIT Ternary Evaluation
Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International
Services GmbH, Stuttgart; Document ID: 10.13552.1.20, (1990) (Crys. Structure, Equi.
Diagram, Assessment, 19)
[1991Sch] Schuster, J.C., “A Reinvestigation of the Thermal Decomposition of Aluminum Carbide
and the Constitution of the Al-C System”, J. Phase Equilib., 12 (5), 546-549 (1991) (Equi.
Diagram, Experimental, 22)
[1996Gro] Gröbner, J., Lukas, H., Aldinger, F., “Thermodynamic Calculation of the Ternary System
Al-Si-C”, Calphad, 20(2), 247-254 (1996) (Calculation, Equi. Diagram, Thermodyn., 37)
[1993Wen] Wen, H.M.Sc., “Thermodynamic Calculations and Constitution of the Al-B-C-N-Si-Ti
System” (in German), Thesis, Univ. Stuttgart 1993, 1-183 (1993) (Calculation, Equi.
Diagram, Thermodyn., 223)
[2001Aks] Aksenov, A.A., Belov, N.A., Medvedeva, S.V., “The Al-Si-C Phase Diagram and Its Use
for Microstructural Analysis of MMCp and MMCf Composite Materials”, Z. Metallkd.,
92(9), 1103-1110 (2001) (Equi. Diagram, Experimental, 15)
142
Landolt-BörnsteinNew Series IV/11A1
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Al–C–Si
[2003Luk] Lukas, H.L., “Al-Si (Aluminum-Silicon)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart, to be published, 2003 (Assessment, Equi. Diagram, Crys. Structure, 29)
[2003Per] Perrot, P., “Al-C (Aluminium-Carbon)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart, to be published, (2003) (Equi. Diagram, Crys. Structure, Assessment, 19)
Table 1: Crystallographic Data of Solid Phases
Table 2: Invariant Equilibria
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
< 660.452
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
(C)
< 3827 (subl.)
hP4
P63/mmc
C (graphite)
a = 246.12
c = 670.9
at 25°C [Mas2]
(Si)
< 1414
cF8
Fd3m
C (diamond)
a = 543.06 at 25°C [Mas2]
Al4C3
< 2156
hR7
R3m
Al4C3
a = 330.75
c = 2490.6
[1991Sch]
SiC, SiC
< 2824
cF8
Fd3m
ZnS (sphalerite)
a = 435.8 [V-C] only stable modification of SiC?
[1984Ole]
* Al8SiC7
< 2085
hP16 a = 331.27(7)
c = 1924.2(4)
[1984Kid]
* Al4SiC4
1920
hP18
Al5C3N
a = 327.71
c = 2167.6
[1961Bar,1980Ino2]
* Al4Si2C5
~1970-1910
hR11
Al6C3N2
a = 325.12
c = 4010.8
[1980Ino2] metastable
by [V-C] erroneously given as hR22
Reactions T [°C] Type Phase Composition (at. %)
Al C Si
L + (C) + Al4C3 Al8SiC7 2085 P1 L 71.3 13.7 15
L + (C) Al8SiC7 + Al4SiC4 2080 U1 L 69.8 13 17.2
L + (C) Al4SiC4 + SiC 2075 U2 L 65.6 11.6 22.8
L + Al4C3 (Al) + Al8SiC7 655 U3 L 99.07 < 10-8 0.93
L + SiC (Si) + Al4SiC4 612 U4 L 85.8 < 10-8 14.2
L + Al8SiC7 (Al) + Al4SiC4 605 U5 L 91.57 < 10-8 8.43
L (Al) + (Si), Al4SiC4 577 D1 L 87.9 ~0.0 12.1
143
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–C–Si
Fig
. 1:
A
l-C
-Si.
Rea
ctio
n s
chem
e
Al-
CA
l-S
iA
-B-C
l +
C
Al 4
C3
2156
p2
l (
Al)
+ S
i
577
e 1
L +
C
Al 4
SiC4
ca.
2080
p3
Al-
C-S
i
L +
C +
Al 4
C3
Al 8
SiC7
2085
P1
C-S
i
l +
C
SiC
2823
p1
l (
Al)
, A
l 4C3
660.5
d2
L (
Al)
+ S
i, A
l 4S
iC4
577
D1
L +
Al 8
SiC7
(A
l) +
Al 4
SiC4
605
U5
L +
Al 4
C3
(A
l) +
Al 8
SiC7
655
U3
L +
C
Al 4
SiC4 +
SiC
2075
U2
L +
C
Al 8
SiC7
+ A
l 4S
iC4
2080
U1
l S
i, S
iC
1414
d1
L +
C +
Al 8
SiC7
C +
Al 4
C3
+ A
l 8S
iC7
C +
Al 8
SiC7
+ A
l 4S
iC4 L +
(A
l) +
Al 8
SiC7
(Al)
+ A
l 4C3
+ A
l 8S
iC7
L +
Al 8
SiC7 +
Al 4
SiC4
L +
Al 4
SiC4
+ S
iC
C +
Al 4
SiC4 +
SiC
(Al)
+ A
l 8S
iC7 +
Al 4
SiC4
L +
(A
l) +
Al 4
SiC4 (A
l) +
Si
+ A
l 4S
iC4
L +
SiC
S
i +
Al 4
SiC4
612
U4
Al 4
SiC4 +
Si
+ S
iC
L +
Al 4
SiC4 +
Si
L +
Al 4
C3 +
Al 8
SiC7
144
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MSIT®
Al–C–Si
20
40
60
80
20 40 60 80
20
40
60
80
Al Si
C Data / Grid: at.%
Axes: at.%
d2
U3U4U5
e1D1
d1
4200
4000
3800
3600
3400
3200
3000
2800
26002400
22002000
(C)
SiCAl4C3
U1
U2
P1
p3
p2p1
Al8SiC4
Fig. 2: Al-C-Si.
Liquidus surface
80
90
10 20
10
20
Al Al 7C 3Si
Al 70.00C 0.00Si 30.00 Data / Grid: at.%
Axes: at.%
d2
U3 U4U5e1, D1
from P1
from U1from U2
from d1
Fig. 2a: Al-C-Si.
Schematic liquidus
surface near the
Al-corner
145
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MSIT®
Al–C–Si
20
40
60
80
20 40 60 80
20
40
60
80
Al Si
C Data / Grid: at.%
Axes: at.%
L+SiC
L+(C)+SiCL+(C)
L
SiCAl4C3
L+(C)+Al4C3
(C)
20
40
60
80
20 40 60 80
20
40
60
80
Al Si
C Data / Grid: at.%
Axes: at.%
Al4C3
L+Al4C3
Al8C7SiAl4C4Si
(C)+SiC+Al4C4Si
L+SiC+Al4C4Si
L+SiC
L
SiC
(C)
Fig. 3: Al-C-Si.
Isothermal section at
2150°C
Fig. 4: Al-C-Si.
Isothermal section at
2000°C
146
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ca–Li
Aluminium – Calcium – Lithium
Joachim Gröbner
Literature Data
The first investigations in the ternary Al-Ca-Li system was published by [1986Lee] who calculated vapor
pressures over ternary melts on the basis of thermodynamic data of binary Al and Li liquid alloys. [1990Mil]
reported, in the form of an abstract, that the equilibria between the binary Laves phases CaAl2 (Cu2Mg
structure type) and Li2Ca (MgZn2 structure type) does not occur on the 33.33 at.% Ca section. A ternary
Laves phase of the Ni2Mg structure type occurs on this section and enters into equilibrium with CaAl2 and
Li2Ca. No further details were given. [1992Mil] reported crystal structure determination of a ternary phase
“LixCa8-xAl3”. This phase is part of ternary solubility of the later reported binary phase Ca8Al3 [2001Kev].
[1993Nes] synthesized series of compounds LixCaAl2-x in Mo crucibles and structurally characterized them
afterwards. They confirmed the ternary MgNi2 type Laves phase between 0.80 x 1.0 and a second one
of MgZn2 type between 0.80 x 1.0. A schematic ternary phase diagram is shown. Small ternary
solubilities of the binary Laves phases CaAl2 and Li2Ca were indicated. In this isothermal section two
additional ternary phases were included. The phase Li11Ca6Al12 is reported later in detail by [1996Hae].
For the further phase with the composition LixCa8Al7-x no information is given in the text.
Phase equilibria in the Al-Ca-Li system were studied by [1988Gan, 1999Gan, 2000Gan] using X-ray phase
and differential thermal analyses. A partial isothermal section up to 33 at.% Ca at 150°C is given by
[1999Gan]. [2000Gan] show additionally six vertical sections and a constructed partial liquidus surface. In
these investigations neither the existence of a large solubility range of the Laves phase, nor the earlier
reported ternary phases was considered. In contrast recent experimental work in this system [2003Jan]
confirmed clearly the stability of the ternary Laves phase of the Ni2Mg structure and the phase Li11Ca6Al12.
The phase Li2Ca6Al2 reported by [1993Nes] was not confirmed in this work.
Binary Systems
For Al-Li [2002Gro] and Al-Ca [2002Ted] the evaluation in MSIT Binary Evaluation Program already
assessed binary diagrams were used. The binary system Ca-Li was taken from [Mas2].
Solid Phases
No complete solid solution between the two binary Laves phases Li2Ca and CaAl2 was observed. [1993Nes]
found a two-phase field between Li2Ca and “LiCaAl”. Towards CaAl2 a continuous series Ca(LixAl2-x) of
two phases, 1 crystallizing in the MgZn2 (0.80 x 1.0) structure type and 2 in the MgNi2 (0.25 x
0.75) structure type were found. Additional two ternary phases were reported by [1993Nes]. [1996Hae]
determined the crystal structure of 3, Li11Ca6Al12, one of these phases. The second phase, 4, LixCa8Al7-x,
was found to be metastable by [2003Jan]. All phases together with the crystallographic data are given in
Table 1.
Liquidus Surface
A partial liquidus surface constructed from thermoanalytic results is shown by [2000Gan]. It is questionable
since it is in contradiction with all other authors and therefore is not reproduced here.
Isothermal Sections
The only isothermal section is given by [1999Gan, 2000Gan] at 150°C. It is partial up to 33 at.% Ca and
disregard the already earlier known ternary phases. Figure 1 shows the isothermal sections at room
temperature concerning the investigations of [1993Nes] and [2003Jan].
147
Landolt-BörnsteinNew Series IV/11A1
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Al–Ca–Li
Temperature – Composition Sections
Six vertical sections from CaAl2 to Li2Ca, CaAl2 to Li, CaAl2 to Li9Al4, CaAl4 to LiAl, CaAl2 to LiAl and
CaAl2 to Li3Al2 are given by [2000Gan]. They are classified to be tentative because they are in substantial
contradiction with the established ternary phases.
References
[1982McA] McAlister, A.J., “The Al-Li (Aluminum-Lithium) System”, Bull. Alloy Phase Diagrams,
3(2), 177-183 (1982) (Equi. Diagram, Thermodyn., Review, #,*, 31)
[1986Lee] Lee, J.J., Sommer, F., “Thermodynamic Properties of Li in Liquid Aluminum Alloys” (in
Korean), Taehan Kumsok Hakhoechi, 24(10), 1185-1189 (1986) (Experimental, Theory,
Thermodyn., 23)
[1988Gan] Ganiev, I.N., Ikromov, A.Z., Kurbanova, H.A., Kinzhibalo, V.V., “Physical Chemical
Analysis of the Alloys of the Systems Al-Zn-Sc(Y,La,Ce,Pr,Nd) and Al-Li-Ca”
(in Russian), 7th Vsesoyuznoe Sovescchanie po Phisiko-Chimicheskomu Analizu
Metallicheskih Sistem, Frunze, 333 (1988) (Equi. Diagram, Experimental, 0)
[1990Mil] Miller, G.J., Nesper, R., Curda, J., “Laves Phases in the Ca/Li/Al System: Structural
Characteristics and Chemical Bonding”, 15th Congress and General Assembly Internat.
Union Crystallography, Bordeaux, France, Abstract Vol. C-270 (1990) (Crys. Structure,
Experimental, 3)
[1992Mil] Miller, G.J., Nesper, R., “Ca8-xLixAl3: Defects and Substitution in the Fe3Al Structure
Type”, J. Alloy. Compd., 185(2), 221-234 (1992) (Crys. Structure, 22)
[1993Mil] Miller, G.J., Li, F., Franzen, H.F., “The Structural Phase Transition in Calcium-Aluminum
Compound (CaAl4): A Concerted Application of Landau Theory and Energy Band Theory”,
J. Am. Chem. Soc., 115(9), 3739-3745 (1993) (Crys. Structure, 26)
[1993Nes] Nesper, R., Miller, G.J., “A Covalent View of Chemical Bonding in Laves Phases
CaLixAl(2-x)”, J. Alloy. Compd., 197(1), 109-121 (1993) (Crys. Structure, Experimental,
Equi. Diagram, 26)
[1996Hae] Haeussermann, U., Woerle, M., Nesper, R., “Ca6LixAl23-x, Sr9Li7+xAl36-x and
Ba2Li3+xAl6-x: New Ternary Intermetallic Compounds Linking Close-Packed Metal
Structures and Zintl Phases”, J. Am. Chem. Soc., 118, 11789-11797 (1996) (Crys. Structure,
Experimental, 20)
[1998Hua] Huang, B., Corbett, D., “Two New Binary Calcium-Aluminium Compounds: Ca13Al14 with
a Novel Two-Dimensional Aluminium Network, and Ca8Al3, an Fe3Al-Type Analogue”,
Inorg. Chem., 37(22), 5827-5833 (1998) (Crys. Structure, Experimental, 30)
[1999Gan] Ganieva, N.I., Nazarov, Kh.M., Ganiev, I.N., “Phase Equilibrium in Al-Li-Ca-(Sr,Ba)
Systems at 423 K”, Russ. Metall., (5), 131-133 (1999) (Equi. Diagram, Experimental, 7)
[2000Gan] Ganiev, I.N., Nazarov, H.M., Ganieva, N.I., “The Al-Li-Ca System in the Aluminium Rich
Region” (in Russian), Metally, (3), 124-127 (2000) (Equi. Diagram, Experimental, 3)
[2001Kev] Kevorkov, D., Schmid-Fetzer, R.,“The Al-Ca System Part 1: Experimental Investigation of
Phase Equilibria and Crystal Structures”, Z. Metallkd., 92, 946-952 (2001) (Equi. Diagram,
Experimental, 14)
[2002Gro] Gröbner, J., “Al-Li (Aluminium - Lithium)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), Materials Science International Services GmbH, Stuttgart;
Document ID: 20.13517.1.20 (2002) (Equi. Diagram, Review, 29)
[2002Ted] Tedenac, J.-C., Kevorkov, D., Velikanova, T., “Al-Ca (Aluminum - Calcium)”, MSIT
Binary Evaluation Program, in MSIT Workplace, Effenberg, G. (Ed.), Materials Science
International Services GmbH, Stuttgart; Document ID: 20.12711.1.20 (2002) (Equi.
Diagram, Review, 13)
[2003Jan] Janz, A., “Untersuchung von Phasengleichgewichten im System Al-Ca-Li”, (in German)
Proc. 10th Int. Studententag der Metallurgie, Montanuniversität Leoben, Austria, 76-80
(2003) (Equi. Diagram, Experimental, *, 10)
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Al–Ca–Li
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
( Al)
< 660.452
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
( Ca)
842-443
cI2
Im3m
W
a = 448.0 [Mas2]
( Ca)
< 443
cF4
Fm3m
Cu
a = 558.84 at 25°C [Mas2]
(Li)
< 180.6
cI2
Im3m
W
a = 351.0 pure Li at 25°C [V-C2]
Li2Ca hP12
P63/mmc
MgZn2
a = 631.3
c = 1028
[Mas2]
Li9Al4 ( )
347-275
mC26
C2/m
a = 1915.51
b = 542.88
c = 449.88
= 107.671°
[1982McA]
Li9Al4 ( `)
< 275
? ?
Li3Al2 ( )
< 520
hR15
Rm
a = 450.8
c = 1426
[1982McA]
60 to 61at.% Li [Mas2]
LiAl ( )
< 704
cF16
Fd3m
NaTl
a = 637 at 50 at.% Li [1982McA]
45 to 61 at.% Li [Mas2]
CaAl4 (h)
700-170
tI10
Al4Ba
a = 435.3
b = 1107
[V-C2]
CaAl4 (l)
< 170
mC10 a = 615.26 ± 0.15
b = 617.30 ± 0.13
c = 632.90 ± 0.14
= 118.026 ± 0.016°
[1993Mil]
CaAl2< 1086
cF24
Fd3m
Cu2Mg
a = 804.0 [V-C2] Powder X-ray diffraction
Ca13Al14
< 633
mC54 a = 1555.1 ± 0.4
b = 987.3 ± 0.2
c = 972.6 ± 0.2
= 108.09 ± 0.02°
[1998Hua]
Single-crystal X-ray diffraction
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Landolt-BörnsteinNew Series IV/11A1
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Al–Ca–Li
Ca8Al3< 578
aP22
Ca8In3
a = 948.4 ± 0.3
b = 959.2 ± 0.3
c = 967.1 ± 0.3
= 99.02 ± 0.03°
= 101.13 ± 0.03°
a = 947.0 ± 0.2
b = 960.2 ± 0.2
c = 964.6 ± 0.2
= 99.17 ± 0.02°
= 101.08 ± 0.02°
[1998Hua]
Single-crystal X-ray diffraction
[1992Mil]
at 0.13 at.% dissolved Li
* 1, LixCaAl2-x hP12
P63/mmc
MgZn2
a = 582.0 to 626.8
c = 936.6 to 1021.9
0.80 x 1.0
[1993Nes]
* 2, LixCaAl2-x hP24
Ni2Mg
a = 573.0 to 579.6
c = 1856.4 to 1875.4
0.25 x 0.75 [1993Nes]
* 3, Li11Ca6Al12 cF116
Fm3m
Th6Mn23
a = 1343.0 [1996Hae]
* 4, LixCa8Al7-x ? ? [1993Nes]
metastable [2003Jan]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
20
40
60
80
20 40 60 80
20
40
60
80
Li Ca
Al Data / Grid: at.%
Axes: at.%
CaAl4(l)
CaAl2
Ca13Al14
Ca8Al3
Li2Ca
Li9Al4
Li3Al2
LiAlτ
3
τ1
τ2
(αCa)
Fig. 1: Al-Ca-Li.
Isothermal section at
room temperature
150
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ca–Si
Aluminium – Calcium – Silicon
Rainer Schmid-Fetzer
Literature Data
The liquidus surface of the Al-corner has been studied and fundamental agreement was obtained between
most of the earlier experimental work [1926Doa, 1927Gro, 1928Shi] and reviewing papers [1934Fus,
1943Mon, 1952Han, 1960Spe, 1969Wat]. Samples were made from Al-Ca and Al-Si master alloys under a
CaCl2 or KCl-NaCl-BaCl2 protective layer. Their composition was checked by chemical analysis, and
thermal and metallographic analyses were performed [1926Doa]. A dominating CaSi2 liquidus surface
extending close to the Al-corner and an eutectic type Al-CaSi2 pseudobinary system was deduced from
these data [1926Doa] and essentially confirmed by similar studies [1928Shi, 1962Kol] and [1966Tom]. The
coexistence of (Al) and a compound, assumed to be CaSi2, was also seen in micrographs of Al-rich samples
that were cast, forged or hot rolled, annealed for 30 min at 460°C and then used for Brinell and tensile tests
[1927Gro]. Similar interpretations are given in [1934Fus, 1943Mon] and also by [1952Han] who made
additional experiments to quantify the location of ternary eutectics and accepts the binary phase CaAl4instead of CaAl3 as given in previous literature. The interpretation of an (Al)-CaSi2 equilibrium is, however,
inconsistent with reports on some ternary compounds that form after annealing for a long time. [1967Gla]
studied 39 samples in the Al-Si-CaSi2-CaAl2 subsystem at 400°C by X-ray methods and metallography and
detected the compound CaAl2Si2 ( ) in equilibrium with (Al), (Si), CaSi2, CaAl4, CaAl2 and another
ternary compound, CaAl1-xSi1+x( ) [1965Bod]. [1967Gla] also prepared single crystals of and performed
a detailed X-ray structure analysis. The phase was also observed by electron microprobe in Al-20 mass%
Si samples containing 0.13 to 2.6 mass% Ca, which were equilibrated at 800°C, cast and found to consist
of (Al)+(Si)+ [1976Tag]. The precipitation of and Ca2Si was found in metallurgical grade silicon (< 0.5
mass% Al, <0.3 mass% Ca) by optical metallography and electron microscopy (SEM, TEM, EMPA)
[1990Ang].
The CaAl1-xSi1+x( ) phase was also prepared at x = 0 by [2002Ima] and in the range -0.4 < x < 0.2 by
[2002Lor], studied by X-ray diffraction and also for their superconducting behavior with a transition
temperature of 7.8 K for CaAlSi [2002Ima].
The congruent melting point of was reported at 975°C by DTA [1994Ang] and the pseudobinary eutectic
L +(Si) at 927°C, and the “pseudobinary” eutectic L +CaSi2 at 925°C. [1994Ang] also performed a
brief Calphad-type thermodynamic analysis of the ternary system and produced calculated isopleths. This
included the modelling of the Ca-activity in ternary liquids on the Al0.5Si0.5 - Ca section at 1350°C. This
Ca-activity was experimentally determined by [1975Sch] with 11 alloys at 1350°C and 3 alloys at 1210°C
using the boiling point method. The activity coefficients of Al and Ca in molten Si at 1450-1550°C were
determined by the Knudsen effusion method and also by a chemical equilibrium technique from the
distribution between liquid silicon and lead at 1450°C [1999Mik]. Two other compounds, Ca3Al6Si2 ( )
and Ca2Al4Si3 ( ) were prepared by pressing CaAl2-Si mixtures, heating to 700-1000°C, quenching and
studying by X-ray analysis [1955Chr, 1956Chr]. The reaction was complete only above 900°C and the
mutual equilibria CaAl2+ , + and +(Si) were observed at 1000°C, but not the phase located between
and (Si). The phase completely decomposes into and some Al and Ca at 1200°C, while the phase
only starts to decompose at this temperature, probably due to Ca-loss to the gas phase [1956Chr]. The most
Ca-rich compound, Ca3Al2Si2 ( ) was fused from the elements in corundum crucibles under argon,
continuously agitated for 4h at 1150-1200°C and slowly cooled to room temperature within 12h. Single
crystals could be extracted from the sample and a detailed X-ray structure analysis was performed
[1977Wid]. The composition change during preparation was found to be negligible by chemical analysis of
a similarly prepared Ba3Al2Si2 compound [1977Wid].
The present evaluation continues and updates the one published in [1990Sch] with respect to both new
ternary and binary data.
151
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Al–Ca–Si
Binary Systems
The Al-Si system is accepted from [Mas2]. The Al-Ca system is taken from [2002Ted]. The Ca-Si system
is accepted from [2000Man], however, the shape of the liquidus lines may need some revision as indicated
by thermodynamic calculations [2003Gro].
Solid Phases
Data on all solid phases reported in this system are given in Table 1.
Electronic structure calculations of the stability of Al2Si26- chains in the compound Ca3Al2Si2 suggest that
all Si atoms reside in the twofold sites and all Al atoms in the threefold ones [1988Li].
Bonding in the CaAl2Si2 ( ) structure type was studied theoretically [1988Zhe]. The same structure type
was experimentally found to form also in 13 different, though related, ternary systems [1980Klu].
[1975Eml] mentioned the possible existence of a phase Ca0.8Al1.2Si, which is not included in Table 1.
Pseudobinary Systems
The Al-CaSi2 section has been quoted as a eutectic pseudobinary system in the earlier literature [1926Doa]
to [1952Han]. The primary crystallization of CaSi2 from Al-rich liquids is probably metastable in view of
the formation of on that section. The phase may have been misinterpreted as CaSi2 in the metallographic
examination, since the conclusions in the basic early work on Al-Ca-Si [1926Doa] rely on the assumption
that no ternary compounds exist. The calculated isopleths Al-CaSi2 and Si-CaAl2 [1994Ang] contain the
phase, however, they are based on old versions of the Ca-Si and Al-Ca binaries and cannot be accepted. In
addition, the phases , , and had not been considered by [1994Ang]. Thermodynamic calculations
performed in the present assessment were based on the recent binaries and they show that both sections are
not pseudobinary systems. The Al-poor side of the Al-CaSi2 section exhibits phase fields of liquid with CaSi
and Ca14Si19. However the partial section Al-CaAl2Si2 ( ) is a pseudobinary eutectic as shown in Fig. 1,
according to the present calculation. Similarly, the Si-poor side of the Si-CaAl2 section exhibits phase fields
of liquid with CaSi. However the partial section Si-CaAl2Si2 ( ) is also a pseudobinary eutectic as shown
in Fig. 2, according to the present calculation. The calculated eutectic temperature 933°C is in close
agreement with the experimental value 927°C [1994Ang].
Invariant Equilibria
The three invariant equilibria of the Al-corner, given in Table 2, are from the present thermodynamic
calculation. Earlier work [1952Han] assumed the participation of CaSi2 instead of in the equilibria max,
E and D (with reported temperatures of 637, 615.8, and 576.5°C). This cannot be accepted as described in
the previous section. Also a eutectic reaction L (Al)+(Si)+ was given with a liquid composition of 0.7
at.% Ca [1966Tom]. This is virtually impossible based on the thermodynamic calculation, which shows that
this invariant (D) is essentially degenerate to the binary Al-Si eutectic. [1966Tom] also reported from
microradiograph examinations that the Ca-content in (Si) is much smaller than in (Al).
Liquidus Surface
The liquidus surface of the Al-corner given in Fig. 3 is from the present thermodynamic calculation. It
deviates from that given by [1952Han] as discussed in the previous section.
Isothermal Sections
An isothermal section at about 400°C is given in Fig. 4 [1967Gla, 1955Chr] and [1956Chr]. The equilibria
around the and phases are estimated by dashed lines. Both phases form above 900°C with appreciable
reaction rates [1955Chr] and are presumably stable down to 400°C. The reported - (Si) equilibrium at
1000°C [1955Chr] cannot be accepted in view of the congruent melting point of at 975°C.
The equilibria above 33 at.% Ca have not bee studied experimentally. The dashed tie line Ca5Si3-CaAl2(and the three more Ca-rich ones) given dashed in Fig. 4 are based on the present thermodynamic
152
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ca–Si
calculation, disregarding the and phases and the mutual solubilities along the CaAl2-CaSi2 section. No
tie lines can be given around these phases.
The precipitation of and Ca2Si in metallurgical grade silicon (< 0.5 mass% Al, <0.3 mass% Ca)
[1990Ang] supports the existence of the (Si)+ +Ca2Si equilibrium with negligible solubility in (Si).
Thermodynamics
The measured Ca-activities [1975Sch] in the ternary liquid phase along the equal molar fractions of Al and
Si at 1350°C are well represented by the thermodynamic calculation of [1994Ang] shown in Fig. 5
Notes on Materials Properties and Applications
Si and Ca are important additions to Al-alloys. The CaAl1-xSi1+x( ) phase shows superconducting behavior
[2002Ima, 2002Lor]. The de-oxidation of steel using complex Ca-Al-Si de-oxidizers was discussed by
[1983Gho].
Miscellaneous
The dissolution of CaSi2 from Al-Ca-Si alloys in HCl was discussed by [1953Tou].
References
[1926Doa] Doan, G., “On the Al-Ca-Si System” (in German), Z. Metallkd., 18, 350-355 (1926) (Equi.
Diagram, Experimental, #, 15)
[1927Gro] Grogan, J.D., “The Influence of Calcium on Aluminium Containing Silicon”, J. Inst. Met.,
37, 77-91 (1927) (Experimental, 6)
[1928Shi] Shinoda, G., “Improvement of Aluminium Alloy with X-Ray Study” (in Japanese), Nippon
Kogyo Kwai Shi, 44, 544-557 (1928) (Equi. Diagram, Experimental, 12)
[1934Fus] Fuss, V., Metallography of Al and its Alloys (in German), translated from Anderson, R.J.,
Sherwood Press Inc., Cleveland, Berlin, 163-166 and 207-219 (1936) (Equi. Diagram,
Review, #, 300)
[1943Mon] Mondolfo, L.F., Metallography of Aluminum Alloys, Wiley & Sons, Inc., New York, 61-63
(1943) (Equi. Diagram, Review, #, 3)
[1952Han] Haneman, H., Schrader, A., “Ternary Aluminum-Alloys” in “Atlas Metallographicus
(III/2)” (in German), Verlag Stahleisen, Düsseldorf, 62-65 (1952) (Equi. Diagram, Crys.
Structure, Review, Experimental, #, *, 5)
[1953Tou] Tournaire, M., Renouard, M., “Contribution to a Study of Al-Mg-Si Alloys” (in French),
Revue de Metallurgie/Memoires, 50, 328-332 (1953) (Experimental, 0)
[1955Chr] Chrétien, A., Freundlich, W., Deschanvres, A., “On Two New Ternary Ca-Al-Si
Compounds” (in French), Compt. Rend., 241, 1781-1783 (1955) (Equi. Diagram,
Experimental, #, 2)
[1956Chr] Chrétien, A., Freundlich, W., Deschanvres, A., “Properties of the New Ternary Compounds,
Ca3Al6Si2 and Ca2Al4Si3” (in French), Compt. Rend., 242, 784-785 (1956) (Crys.
Structure, Experimental, 2)
[1960Spe] Spengler, H., “The Importance of Research on Eutectics and its Application to Ternary
Eutectic Aluminium Alloys” (in German), Metallwiss. Tech., 14(3), 201-206 (1960)
(Experimental, 11)
[1962Kol] Kolachev, B.A., “Quasi-Binary Sections of Ternary Systems, Studied by Withdrawing a
Solid Phase from a Melt” (in Russian), Tr. Mosk. Aviats. Tekhnol. Inst., 5, 124-132 (1962)
(Equi. Diagram, Experimental, #, 4)
[1965Bod] Bodak, O.I., Gladyshevsky, E.I., Zarechnyuk, O.S., Cherkashin, E.E., “Compounds with
Structures of the AlB2 Type in the Ternary Systems” (in Russian), Visn. Lviv. Univ., Ser.
Khim., 8, 75-79 (1965) (Crys. Structure, Experimental, 8)
153
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ca–Si
[1966Tom] Tomochiro, I., Yamamoto, R., Fujisawa, K., “Mechanism of Structural Changes of Lo-Ex”
(in Japanese), Keikinzoku, 16, 30-35 (1966) (Equi. Diagram, Experimental, #, 2)
[1967Gla] Gladyshevsky, E.I., Kripyakevich, P.I., Bodak, O.I., “Crystal Structure of CaAl2Si2 and
Analogous Compounds” (in Russian), Ukrain. Fiz. Zhur., 12, 447-453 (1967) (Equi.
Diagram, Experimental, #, *, 16)
[1969Wat] Watanabe, H., Sato, E., “Phase Diagrams of Aluminum-Base Systems” (in Japanese),
Keikinzoku, 19(11), 499-535 (1969) (Equi. Diagram, 232)
[1975Eml] Emlin, B.I., Gasik, M.I., Kilesso, S.N., Elt’sova, Z.V., Vukelich, S.B., “Phase Composition
of Al-Si Alloys” (in Russian), Izvest. v. u. z. Tsvetn. Metall., 4, 156-158 (1975) (Equi.
Diagram, Experimental, 7)
[1975Sch] Schuermann, E., Fueders, P., Litterscheidt, H., “Vapor Pressure of Ca Above Ca-Si, Ca-Al
And Ca-Al-Si Alloys” (in German), Arch. Eisenhuettenwes., 46(8), 473-476 (1975)
(Experimental, Thermodyn., 5)
[1976Tag] Tagami, M., Serita, Y., Komatsu, K., “The Influence of Ca Additions on the Grain Size of
Primary Si Crystals in a Hypereutectic Al-20% Si Alloy”, J. Jpn. Inst. Light Met., 26,
385-390 (1976) (Equi. Diagram, Experimental, *, 20)
[1977Wid] Widera, A., Schaefer, H., “Preparation and Crystal Structure of A3Al2Si2 (A = Ca, Sr, Ba)”
(in German), Z. Naturforsch. B, 32B, 1349-1351 (1977) (Crys. Structure, Experimental, 3)
[1980Klu] Kluefers, P., Neumann, H., Mewis, A., Schuster, H.-U., “AB2X2 Compounds with the
CaAl2Si2 Structure, VIII (1)” (in German), Z. Naturforsch. B, 35(10), 1317-1318 (1980)
(Crys. Structure, Experimental, 4)
[1983Gho] Ghosh, A., Naik, V., “Deoxidation of Steel with Ca-Si-Al and Mg-Si-Al Complex
Deoxidizers: a Thermodynamic Analysis”, Tool Alloy Steels, 17(7), 239-244 (1983)
(Experimental, 16)
[1988Li] Li, J., Hoffmann, R., “Ca3Al2Si2: An Inorganic Structure Analogous to but not Isoelectronic
with Polyacene”, J. Phys. Chem., 1988, 92(4), 887-893 (1988) (Crys. Structure, Theory, 18)
[1988Zhe] Zheng, C., Hoffmann, R., “Complementary Local and Extended Views of Bonding in the
ThCr2Si2 and CaAl2Si2 Structures”, J. Solid State Chem., 72(1), 58-71 (1988) (Crys.
Structure, Theory, 13)
[1990Ang] Anglezio, J.C., Servant, C., Dubrous, F., “Characterization of Metallurgical Grade Silicon”
J. Mater. Res., 5, 1894-1899 (1990) (Equi. Diagram, Crys. Structure, Experimental, 11)
[1990Sch] Schmid-Fetzer, R., ”Al-Ca-Si (Aluminium - Calcium - Silicon),” MSIT Ternary Evaluation
Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International
Services GmbH, Stuttgart; Document ID: 10.15085.1.20, (1990) (Crys. Structure, Equi.
Diagram, Assessment, 15)
[1993Mil] Miller, G.J., Li, F., Franzen, H.F., “The Structural Phase Transition in Calcium-Aluminum
Compound (CaAl4): A Concerted Application of Landau Theory and Energy Band Theory”,
J. Am. Chem. Soc., 115(9), 3739-3745 (1993) (Crys. Structure, 26)
[1994Ang] Anglezio, J.C., Servant, C., Ansara, I., “Contribution to the Experimental and
Thermodynamic Assessment of the Al-Ca-Fe-Si System - I. Al-Ca-Fe, Al-Ca-Si, Al-Fe-Si
and Ca-Fe-Si Systems”, Calphad, 18(3), 273-309 (1994) (Equi. Diagram, Calculation, 71)
[1998Hua] Huang, B., Corbett, D., “Two New Binary Calcium-Aluminium Compounds: Ca13Al14 with
a Novel Two-Dimensional Aluminium Network, and Ca8Al3, an Fe3Al-Type Analogue”,
Inorg. Chem., 37(22), 5827-5833 (1998) (Crys. Structure, Experimental, 30)
[1999Mik] Miki, T., Morita, K., Sano, N., “Thermodynamic Properties of Si-Al, -Ca, -Mg Binary and
Si-Ca-Al, -Ti, -Fe Ternary Alloys”, Mater. Trans., JIM, 40(10), 1108-1116 (1999)
(Thermodyn., Experimental, 22)
[2000Man] Manfrinetti, P., Fornasini, M.L., Palenzona, A., “The Phase Diagram of the Ca-Si System”,
Intermetallics, 8, 223-228 (2000) (Equi. Diagram, Crys. Structure, Experimental, #, 31)
[2002Ima] Imai, M., Nishida, K., Kimura, T. Abe, H., “Superconductivity of Ca(Al0.5Si0.5)2, a Ternary
Silicide with the AlB2-Type Structure”, Appl. Phys. Lett., 80(6), 1019-1021 (2002) (Crys.
Structure, Experimental, Superconduct., 26)
154
Landolt-BörnsteinNew Series IV/11A1
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Al–Ca–Si
[2002Lor] Lorenz, B., Lenzi, J., Cmaidalka, J., Meng, R.L., Sun, Y.Y., Xue, Y.Y., Chu, C.W.,
“Superconductivity in the C32 Intermetallic Compounds AAl(2-x)Six, with A = Ca and Sr;
and 0.6<x<1.2”, Physica C, 383(3), 191-196 (2002) (Crys. Structure, Electr. Prop.,
Experimental, Phys. Prop., 10)
[2002Ted] Tedenac, J.-C., Kevorkov, D., Velikanova, T., “Al-Ca (Aluminum - Calcium)”, MSIT
Binary Evaluation Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials
Science International Services GmbH, Stuttgart, Document ID: 20.12711.1.20 (2002)
(Equi. Diagram, Assessment, Crys. Structure, 13)
[2003Gro] Gröbner, J., Chumak, I., Schmid-Fetzer, R., “Experimental Study of Ternary Ca-Mg-Si
Phase Equilibria and Thermodynamic Assessment of Ca-Si and Ca-Mg-Si Systems”,
Intermetallics, in print (2003)
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
( Al) hP2
P63/mmc
Mg
a = 269.3
c = 439.8
at 25°C, 20.5 GPa [Mas2]
( Al)
< 660.452
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
( Ca) ? ? at 25°C, 1.5 GPa [Mas2]
( Ca)
842-443
cI2
Im3m
W
a = 448.0 [Mas2]
( Ca)
< 443
cF4
Fm3m
Cu
a = 558.84 at 25°C [Mas2]
(Si)
< 1414
cF8
Fd3m
C-diamond
a = 543.06 at 25 °C [Mas2]
CaAl4 (h)
700 - 170
tI10
I4/mmm
Al4Ba
a = 435.3
b = 1107
[V-C2]
CaAl4 (l)
< 170
m*10
?
?
a = 615.26 ± 0.15
b = 617.30 ± 0.13
c = 632.90 ± 0.14
= 118.026 ± 0.016
[1993Mil]
CaAl2< 1086
cF24
Fd3m
Cu2Mg
a = 804.0 [V-C2] Powder X-ray diffraction
Ca13Al14
< 633
mC54
C2/m
Ca13Al14
a = 1555.1 ± 0.4
b = 987.3 ± 0.2
c = 972.6 ± 0.2
= 108.09 ± 0.02°
[1998Hua] Single-crystal X-ray
diffraction
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Al–Ca–Si
Ca8Al3< 578
aP22
P1
Ca8In3
a = 948.4 ± 0.3
b = 959.2 ± 0.3
c = 967.1 ± 0.3
= 99.02 ± 0.03°
= 101.13 ± 0.03°
= 119.55 ± 0.03°
[1998Hua] Single-crystal X-ray
diffraction
CaSi2< 1030
hR18
R3m
CaSi2
a = 386.3
c = 3071.0
[2000Man]
Ca14Si19
1085- 900
hR198
R3c
Ca14Si19
a = 867.2
c = 6844.5
[2000Man]
Ca3Si4< 910
hP42
P63/m
Ca3Si4
a = 854.1
c = 1490.6
[2000Man]
CaSi
< 1320
oC8
Cmcm
CrB
a = 459
b = 1079.5
c = 391
[2000Man]
Ca5Si3< 1240
tI32
I4/mcm
Cr5B3
a = 764.1
c = 1487.6
[2000Man]
Ca2Si
< 1270
oP12
Pnma
anti-PbCl2
a = 766.7
b = 479.9
c = 900.2
[2000Man]
* , Ca3Al2Si2 oI14
Immm
Ca3Al2Ge2
a = 400 ± 1
b = 1824 ± 2
c = 457.6 ± 1.0
ordered variant of Ta3B4 [1977Wid]
* , CaAl2Si2< 975
hP5
P3m1
La2O2S
a = 413 ± 1
c = 714.5 ± 1.5
La2O3-type superstructure [1967Gla].
Congruent melting [1994Ang]
* ,
CaAl1-xSi1+x
hP3
AlB2
a = 419.05
c = 439.92
at x = 0 [2002Ima]
composition range x = -0.35 to + 0.55
[1967Gla] or
x = -0.4 to + 0.2 [2002Lor]
* , Ca3Al6Si2< 1150
hP c/a = 1.64 [1956Chr]
* , Ca2Al4Si3 cP18 a = 715 [1956Chr]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
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Al–Ca–Si
Table 2: Invariant Equilibria in the Al-rich Corner
Reaction T [°C] Type Phase Composition (at.%)
Al Ca Si
L + CaAl2 + CaAl4 688 U L
CaAl2
CaAl4
85.4
66.7
40
80
11.7
33.3
20
20
2.9
0
40
0
L (Al) + 649 emax L 97.96 0.65 1.39
L (Al) + + CaAl4 610 E L
(Al)
CaAl4
94
99.99
40
80
5.4
0
20
20
0.6
0.01
40
0
L (Al) + (Si), 577 D L
(Al)
(Si)
87.9
98.5
0
40
0
0
0
20
12.1
1.5
100
40
50 60 70 80 90500
600
700
800
900
1000
Ca 20.00Al 40.00Si 40.00
AlAl, at.%
Tem
pera
ture
, °C
β+(Al)
649°C
975°C
660.3°C
L
β+L
β (Al)
Fig. 1: Al-Ca-Si.
The pseudobinaty
section CaAl2Si2 - Al
157
Landolt-BörnsteinNew Series IV/11A1
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Al–Ca–Si
50 60 70 80 90800
900
1000
1100
1200
1300
1400
1500
Ca 20.00Al 40.00Si 40.00
SiSi, at.%
Tem
pera
ture
, °C
β+(Si)
L+(Si)
L
(Si)β
933°C
1414°C
975°C
Fig. 2: Al-Ca-Si.
The pseudobinary
section CaAl2Si2 - Si
10
90
10
Ca 20.00Al 80.00Si 0.00
Al
Ca 0.00Al 80.00Si 20.00 Data / Grid: at.%
Axes: at.%
Al4Ca (Al)
β
D
E
e1, 613°C
649
800
p1, 700°C
CaAl2
700
800
900°C
U
Fig. 3: Al-Ca-Si.
Liquidus surface of
the Al-rich corner
(>80 at.% Al)
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Landolt-BörnsteinNew Series IV/11A1
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Al–Ca–Si
20
40
60
80
20 40 60 80
20
40
60
80
Ca Al
Si Data / Grid: at.%
Axes: at.%
CaAl4CaAl2
δ
εγ
α
β
CaSi2
CaSi
Ca2Si
Ca3Si4
Ca5Si3
Ca8Al3 Ca13Al14
(Ca)(Al)
(Si)Fig. 4: Al-Ca-Si.
Isothermal section at
400°C; some tie lines
above 33 at.% Ca are
estimated. Equilibria
with the phases α,
CaSi, and Ca3Si4 are
not given
0.0 20 40 60 80 1000.0
0.2
0.4
0.6
0.8
1.0
Al
Si
Ca
[1975Sch]
calculated [1994Ang]
Ca, at.%
aCa
50.0050.000.00
Al
Si
Ca
0.000.00
100.00
Fig. 5: Al-Ca-Si.
Calculated activities
of Ca in the liquid
phase at 1350°C and
xAl = xSi
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Al–Cd–Cu
Aluminium – Cadmium – Copper
Qingsheng Ran, updated by Pierre Perrot
Literature Data
The partial system Al-Cd-Al2Cu was studied by thermal analysis and metallography [1962Boc, 1974Wat]
and by electrical resistivity and lattice spacing measurements [1974Wat]. Samples were prepared from
99.999% Al, 99.99% Cu and Cd (KD0) [1962Boc] or from 99.99% Al, 99.99% Cu and 99.9% Cd
[1974Wat]. 40 samples were examined by [1974Wat] for constructing the liquidus projection of this
section. The samples were homogenized in silica ampoules at 430°C for 24h. No experimental details were
given by [1962Boc]. The results of [1962Boc] were summarized as liquidus isotherms. The proposed
temperature of the ternary monotectic-eutectic reaction is in good agreement with that of [1974Wat]. Some
other works concerned the phase relationships in the solid state near the Al-corner. [1965Boc] carried out
electrical conductivity measurements on samples of 54 compositions at 530, 500 and 400°C, some
microstructural observations and determined the simultaneous solid solubility of Cd and (Cu) in (Al).
Samples with up to 8Cu-0.3Cd (mass%) were prepared from materials of nearly the same purity as used by
[1962Boc] and then annealed in evacuated silica tubes at 530, 500 and 400°C for 50, 100 and 500h,
respectively. The samples were then quenched in cold water. Before measuring the electrical conductivity
the surface of the samples was removed by polishing. Cheng et al. established first the Cu-rich corner with
more than 70 mass% Cu [1965Che] and then studied the whole isothermal section at room temperature
[1966Che, 1975Che]. The experimental methods used by [1965Che, 1966Che] and [1975Che] are similar.
Spectroscopically pure Cd, Al of 99.994% and Cu of >99.9% purity were melted in vacuum in a high
frequency induction furnace, Al-Cd-Cu putting Cd on the bottom and Cu on the top and locating the heating
coil first on top and moving it downwards to prevent Cd evaporation. The massive alloys were annealed and
then filed to powder. The powders were then annealed again and cooled slowly to room temperature. The
melting and heat treatment procedures were carried out in evacuated silica tubes. The phases were
determined by X-ray diffraction. The annealing and heat treatments were different. Annealing of massive
alloys: 500-700°C for 1-2 weeks [1965Che]; 350-700°C for 4-7 weeks [1966Che]; 200-600°C for 2 weeks
[1975Che]. Annealing of powders: 400-450°C for 2 days [1965Che]; a little lower than for massive alloys
for 2 days [1966Che]; 150-450°C for 2 days [1975Che]. Cooling: 10 K/h [1965Che]; 5 K/h [1966Che]; 10
K/h [1975Che]. The number of alloys examined are: 111 [1965Che]; 278 [1966Che]; 251 [1975Che]. The
results of [1966Che, 1975Che] are identical, but differ slightly from [1965Che]. According to [1965Che]
Cu2Cd is in two phase equilibrium with (Cu), , , 2, respectively, whereas [1965Che, 1975Che] observed
only the two phase equilibrium between Cu2Cd and (Cu). The reason for these differences was analyzed by
[1975Che]. The Al-corner in the solid state was also studied by [1974Wat] at 520°C on 45 alloy
compositions. The results are in good agreement with the other works.
The present evaluation continues and updates that of [1991Ran].
Binary Systems
The boundary binary systems Al-Cu, Al-Cd and Cd-Cu are respectively accepted from [2003Gro],
[1980Ell, 1982McA] and [1990Sub].
Solid Phases
No ternary compound was observed. Some binary compounds have solubilities for the third element. The
isothermal section at room temperature, given in Fig. 1, is from [1966Che, 1975Che, 1979Dri]. All solid
phases mentioned in the presented diagrams are listed in Table 1.
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Al–Cd–Cu
Pseudobinary Sections
The section Cd - ,Cu2Al was proposed to be a pseudobinary one by [1962Boc], what was confirmed by
electrical resistivity, lattice spacings and thermal analysis measurements [1974Wat] and modified for taking
into account the peritectic decomposition of ,CuAl2 at 591°C. Figure 2 shows this section, redrawn from
[1974Wat]. The sections Cd - ,CuAl2 and Cd - 1,CuAl(r) are characterized by a miscibility gap in the
liquid phase theoretically described by [1991But].
Invariant Equilibria
The section Cd - involves a pseudobinary monotectic. A ternary monotectic and eutectic were determined
[1962Boc, 1974Wat]. The ternary invariant equilibria are given in Table 2, the compositions given there are
approximate values only. A reaction scheme of the partial Al-Cd-CuAl2 system is plotted in Fig. 3.
Liquidus Surface
A partial liquidus surface of the region Al-Cd-CuAl2 after [1974Wat, 1981Wat] is given in Fig. 4. The
extension of the lines of double saturation in the cadmium corner are too small to be plotted and therefore
are neglected. [1962Boc] plotted liquidus isotherms into the liquidus projection. But the curvatures are
smaller than expected from the binary and pseudobinary boundaries so that these liquidus isotherms are not
very reliable. This reliability can not be checked because [1962Boc] did not give the data by which the
diagram was constructed. Therefore no isothermal line for the liquidus is drawn in Fig. 4.
Isothermal Sections
Partial isothermal sections of the Al-corner in a quite small composition region were constructed by
[1965Boc] for 530, 500 and 400°C and by [1974Wat] for 520°C. The two sets of results are in good
agreement. Taking the binary diagrams into consideration, Al-Cd-Cu sections at 500 and 400°C are
Al-Cd-Cu drawn in Fig. 5a and Fig. 5b. The isothermal section at room temperature (Fig. 1) is taken from
[1966Che] and [1975Che]. It includes also the earlier work [1965Che] and is similar to the diagram
reproduced by [1980Cha].
Notes on Materials Properties and Applications
Dilatometric tests on Cu4Al and CdCu4Al alloys have been carried out by [1969Kar]. The addition of Cd
shortens the time of occurrence of the Guinier-Preston zones and formation of a ” phase. [1984Zol]
showed that the strength properties of cast Al-Cu alloys may be improved by addition of Cd, then ageing at
170°C, due to the precipitation of a metastable ” phase.
References
[1931Pre] Preston, G.D., “An X-ray Investigation of some Copper-Aluminium Alloys”, Philos. Mag.,
12, 980-993 (1931) (Crys. Structure, Experimental, 11)
[1962Boc] Bochvar, O.S., Pokhodaev, K.S., “On the Phase Diagram of the Al-Cu-Cd System” (in
Russian), Issled. Splavov Tsvet. Metallov, (3), 93-97 (1962) (Equi. Diagram, Experimental,
*, 8)
[1965Boc] Bochvar, O.S., Pokhodaev, K.S., “The Solubility of Cu and Cd in Al” (in Russian),
Metalloved. Legkikh. Splavov, Akad. Nauk SSSR, Inst. Met., 88-92 (1965) (Equi. Diagram,
Experimental, #, *, 6)
[1965Che] Cheng, C.H., Kan, Y.P., Li, T.H., “A Phase Diagram of the Cu-Rich Alloys of the Ternary
System Al-Cd-Cu” (in Chinese), Chinese J. Phys. (Peking), 21, 1487-1493 (1965) (Equi.
Diagram, Experimental, *, 10)
[1966Che] Cheng, C.H., Chen, Y.C., Kann, Y.P., Li, T.H., “Phase Diagram of
Aluminium-Cadmium-Copper System at Room Temperature” (in Chinese),
Kexue-Tongbao, 17, 121-122 (1966) (Equi. Diagram, Experimental, #, 11)
161
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cd–Cu
[1969Kar] Karlinski, W., “Dilatometric Investigation of the Decomposition Processes of Solid
Solution in AlCu4 and AlCu4Cd Alloys”, Pr. Inst. Mech. Precyz., 17(1), 49-53 (1969) (Equi.
Diagram, Mechan. Prop., Experimental, 13)
[1974Wat] Watanabe, H., Okamoto, T., Kono, N., “Study on the Phase Diagram at the Al Corner of the
Al-Cu-Cd Alloy System” (in Japanese), J. Jpn. Inst. Light Met., 24, 246-253 (1974) (Equi.
Diagram, Experimental, #, *, 11)
[1975Che] Cheng, C.S., Chen, Y.C., Li, D.X., “Phase Diagram of the Alloys of the Ternary System of
Aluminium-Copper-Cadmium” (in Chinese), Chinese J. Phys. (Peking), 24(3), 174-179
(1975) (Equi. Diagram, Experimental, #, 15)
[1979Dri] Drits, M.E., Bochvar, N.R., Guzei, L.S., Lysova, E.V., Padezhnova, E.M., Rokhlin, L.L.,
Turkina, N.I., “Cu-Al-Cd” (in Russian), Binary and Multicomponent Copper-Base Systems.
Nauka, Moscow, 74 (1979) (Equi. Diagram, 2)
[1980Ben] Bennett, L.H., “The Cd-Cu (Cadmium-Copper) System”, Bull. Alloy Phase Diagrams, 1(1),
62-63 (1980) (Equi. Diagram, Review, #, 7)
[1980Cha] Chang, Y.A., Neumann, J.P., Mikula, A., Goldberg, D., “The Al-Cd-Cu
(Aluminum-Cadmium-Copper) System”, Bull. Alloy Phase Diagrams, 1(1), 58-59 (1980)
(Equi. Diagram, Review, #, 10)
[1980Ell] Elliott, R.P., “The Al-Cd (Aluminum-Cadmium) System”, Bull. Alloy Phase Diagrams,
1(1), 60-63 (1980) (Equi. Diagram, Review, #, 19)
[1981Wat] Watanabe, H., Sato, E., “Phase Diagram in Aluminium Alloys” (in Japanese), J. Jpn. Inst.
Light Metals, 31(1), 64-79 (1981) (Equi. Diagram, Experimental, 22)
[1982McA] McAlister, A.J., “The Al-Cd (Aluminum-Cadmium) System”, Bull. Alloy Phase Diagrams,
3(2), 172-177 (1982) (Equi. Diagram, Review, Thermodyn., #, 16)
[1984Zol] Zolotorevskii, V.S., Istomin-Kastrovskii, V.V., Bakirov, Zh., T., Rokhlina, A.L.,“Influence
of Cadmium on the Position of the Solvus Line for the ” Phase Formation in Al-Cu
Alloys”, Russ. Metall., (4), 216-217 (1984), translated from Izv. Akad. Nauk SSSR, Met.,
(4), 208-209 (1984) (Equi. Diagram, Experimental, 4)
[1985Mur] Murray, J.L., “The Al-Cu System”, Int. Met. Rev., 30, 211-233 (1985) (Equi. Diagram, Crys.
Structure, Review, 230)
[1989Mee] Meetsma, A., de Boer, J.L., van Smaalen, S., “Refinement of the Crystal Structure of
Tetragonal Aluminum-Copper (Al2Cu)”, J. Solid State Chem., 83(2), 370-372 (1989) (Crys.
Structure, Experimental, 17)
[1990Sub] Subramanian, P.R., Laughlin, D.E., “The Cd-Cu (Cadmium-Copper) System”, Bull. Alloy
Phase Diagrams, 11 (2), 162-169 (1980) (Equi. Diagram, Crys. Structure, Review, #, 57)
[1991But] Butt, M.T.Z., Bodsworth, C., “Liquid Immisicibility in Ternary Metallic Systems”, Mater.
Sci. Technol., 7(9), 795-802 (1991) (Equi. Diagram, Theory, Review, 39)
[1991Ran] Ran, Q., ”Aluminium-Cadmium-Copper),” MSIT Ternary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; Document ID: 10.11613.1.20, (1991) (Crys. Structure, Equi. Diagram,
Assessment, 6)
[1994Mur] Murray, J.L., “Al-Cu (Aluminium-Copper)” in Phase Diagram of Binary Copper Alloys,
Subramanian, P.R., et al. (Eds.), ASM Intl., Materials Park, OH, 18-42 (1994) (Equi.
Diagram, Crys. Structure, Thermodyn., Review, #, 226)
[1998Liu] Liu, X.J., Ohnuma, I., Kainuma, R., Ishida, K., “Phase Equilibria in the Cu-rich Portion of
the Cu-Al Binary System”, J. Alloys Compd., 264, 201-208 (1998) (Equi. Diagram,
Experimental, #,*,25)
[2002Gul] Gulay, L.D., Harbrecht, B., “The Crystal Structures of the 1 and 2 Phases in the Al-Cu
System”, Abstr. VIII Int. Conf. “Crystal Chemistry of Intermetallic Compounds”,
September 2002, Lviv, P139, 73 (2002) (Crys. Structure, Experimental, 5)
[2003Gro] Gröbner, J., “Al-Cu (Aluminium - Copper)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; to be published, (2003) (Equi. Diagram, Assessment, Crys. Structure, 68)
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Al–Cd–Cu
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments / References
(Al)
< 660.45
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
0 to 2.48 at.% Cu
0 to 0.113 at.% Cd [1980Ell]
(Cd)
< 321.11
hP2
P63/mmc
Mg
a = 297.87
c = 561.66
21°C, pure, [1980Ben]
0 to 4.5 at.% Al [1980Ell]
(Cu)
< 1064.87
cF4
Fm3m
Cu
a = 361.46 25°C, pure, [Mas2]
0 to 19.7 at.% Al
2, Cu1-xAlx< 363
-
-
TiAl3long period
super-lattice
a = 366.8
c = 368.0
0.22 x 0.235 [Mas, 1985Mur]
76.5 to 78.0 at.% Cu
at 76.4 at.% Cu
(subcell only)
1, Cu9Al4< 890
cP52
P3m
Cu9Al4
a = 870.23
a = 870.68
62 to 68 at.% Cu[Mas2, 1998Liu];
powder and single crystal [V-C2]
from single crystal [V-C]
, Cu1-xAlx< 686
hR*
R3m
a = 1226
c = 1511
0.381 x 0.407 [Mas2, 1985Mur]
59.3 to 61.9 at.% Cu
at x = 38.9 [V-C]
1, Cu47.8Al35.5(h)
590-530
oF88 - 4.7
Fmm2
Cu47.8Al35.5
a = 812
b = 1419.85
c = 999.28
55.2 to 59.8 at.% Cu [Mas2, 1994Mur]
structure: [2002Gul]
2, Cu11.5Al9(r)
< 570
oI24 - 3.5
Imm2
Cu11.5Al9
a = 409.72
b = 703.13
c = 997.93
55.2 to 56.3 at.% Cu [Mas2, 1985Mur]
structure: [2002Gul]
1, CuAl(h)
624-560
o*32 a = 408.7
b = 1200
c = 863.5
49.8 to 52.4 at.% Cu
[V-C2, Mas2, 1985Mur]
Pearson symbol: [1931Pre]
2, CuAl(r)
< 560
mC20
C2/m
CuAl(r)
a = 1206.6
b = 410.5
c = 691.3
= 55.04
49.8 to 52.3 at.% Cu
[V-C2]
, CuAl2< 591
tI12
I4/mcm
CuAl2
a = 606.7
c = 487.7
31.9 to 33.0 at.% Cu [1994Mur]
single crystal [V-C2, 1989Mee]
CuCd3
< 397
hP28
P63/mmc
Al5Co2
a = 810
c = 876
[1980Ben, 1990Sub]
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Al–Cd–Cu
Table 2: Invariant Equilibria
Cu5Cd8
< 563
cI52
I43m
Cu5Zn8
a = 965.4 34 to 47.8 at.% Cu
[1980Ben, 1990Sub]
Cu4Cd3
< 547
cF1124
F43m
Cd3Cu4
a = 2587.1 55.9 to 58.2 at.% Cu
[1980Ben, 1990Sub]
Cu2Cd
< 549
hP12
P63/mmc
MgZn2
a = 496
c = 799
[1980Ben]
Reaction T [°C] Type Phase Composition (at.%)
Al Cd Cu
L1 L2 + 586 e2 L1
L2
65.4
4
65.7
2.9
94.3
2.5
31.7
1.7
31.8
L1 + 1 L2 + ~ 582 U1 L1
1
L2
~ 66
49.5
~ 3
65.7
~ 3
1
~ 95
2.5
~ 31
49.5
~ 2
31.8
L1 L2 + (Al) + 544 E1 L1
L2
(Al)
77.7
2.2
97.7
66
6.1
97.0
0.1
2.0
16.2
0.8
2.0
32
L (Cd) + 321 e4 L
(Cd)
~0
0
66.7
~100
100
0
~0
0
33.3
L (Al) + (Cd) + 320 E2 L
(Al)
(Cd)
0.5
98.9
0
66.7
99
0.1
100
0
0.5
1.0
0
33.3
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments / References
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Al–Cd–Cu
20
40
60
80
20 40 60 80
20
40
60
80
Cu Cd
Al Data / Grid: at.%
Axes: at.%
θ
η2
ζ2
δγ
1
α2
(Cu)
CdCu2Cd3Cu4 Cd8Cu5 Cd3Cu
(Cd)
Fig. 1: Al-Cd-Cu.
Isothermal section at
room temperature
10 20 30 40 50 60
300
400
500
600
700
800
Cd Cu 33.30Cd 0.00Al 66.70Al, at.%
Tem
pera
ture
, °C
L1+L2
(Cd)+θ
586
321.11
L1+θ
L2+θ
L2+η1
591°C
Fig. 2: Al-Cd-Cu.
The pseudobinary
(Cd) - CuAl2 system
165
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cd–Cu
Fig
. 3:
A
l-C
d-C
u.
Rea
ctio
n s
chem
e of
the
par
tial
syst
em A
l-C
d-C
uA
l 2
Al-
Cu
Al 2
Al-
Cd
Cd
-Cu
Al 2
Al-
Cd
-Cu
l 1 l2
+ (
Al)
650
e 1
l (
Al)
+ θ
548.2
e 3
L1
L2 +
(A
l) +
θ544
E1
l 1 l2 +
θ586
e 2
L (
Al)
+ (
Cd)
+ θ
320
E2
l (
Al)
+ (
Cd)
320.4
e 5l
(C
d)
+ θ
321
e 4
L +
(A
l) +
θ
(Al)
+ (
Cd)
+θ
l +
η1
θ591
p1
L1 +
η1
L2 +
θ582
U1
L1 +
η1 +
θ
166
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cd–Cu
2.5
2.0
1.5
1.0
0.5
0.0
0.080.060.040.020.00 0.10
(Al) + + L�
(Al) + L(Al)
(Al) + �
Cd, at.%
Cu,at.%
Al
20
40
60
80
20 40 60 80
20
40
60
80
Cu Cd
Al Data / Grid: at.%
Axes: at.%
E1
e1
e3
e2
(Al)
θ
U1
η1
p1
(Cd)
Fig. 5a: Al-Cd-Cu.
Partial isothermal
section at 500°C
Fig. 4: Al-Cd-Cu.
Schematic liquidus
surface of the region
Al - Cd - CuAl2
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Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cd–Cu
2.5
2.0
1.5
1.0
0.5
0.0
0.080.060.040.020.00 0.10
(Al) + + L�
(Al) + L(Al)
(Al) + �
Al
Cu,at.%
Al
Fig. 5b: Al-Cd-Cu.
Partial isothermal
section at 400°C
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Al–Cd–Mg
Aluminium – Cadmium – Magnesium
Lazar Rokhlin, updated by Hans J. Seifert, Andriy Grytsiv, Riccardo Ferro and Yuriy Voroshilov
Literature Data
There are many data available on the phase equilibria in the Al-Cd-Mg ternary system. The liquidus surface
is reported by [1925Val, 1926Val, 1935Hau, 1937Koe, 1938Jae, 1938Rie, 1946Mik]. The isothermal
sections have been reported by various groups, at 395°C by [1946Mik], 302°C by [1993Kal], 230°C by
[1938Rie] and [1946Mik] reports the phase equilibria at room temperature (25°C). Several vertical sections
are given by [1926Val, 1937Koe, 1946Mik].
[1925Val] and [1926Val] investigated the system by thermal analysis and studied the alloys’
microstructures; which allowed them to determine the boundaries of the miscibility gap, the liquidus
surfaces and phase transformations involved, across the entire composition range of the system.
The liquidus surface and the (Mg) solid solubility limits in alloys containing up to 22Al-5.2Cd (at.%) were
examined by [1935Hau] using thermal analysis and metallography. The Mg corner of the Al-Cd-Mg phase
diagram was investigated by [1937Koe]. There is agreement between the results of [1935Hau] and
[1937Koe]. [1938Rie] investigated numerous alloys by X-ray diffraction and metallography, constructed a
projection of the liquidus surface, an isothermal section at 230°C and re-determined the boundaries of the
miscibility gap. The liquidus and solidus surfaces proposed by [1938Jae] show invariant reactions and
strongly contradict both, the result [1938Rie] and the accepted Al-Cd binary system.
[1946Mik] also investigated many alloys by thermal analysis and metallography. From this work results a
description of the liquidus surface, 13 isopleths and isothermal sections at 25 and 395°C. Solid phase
interactions in the system at 302°C have been examined by [1993Kal] by means of superposition of
diffusion zones and the isothermal section at this temperature was constructed. The purity of the starting
materials was better than 99.99% for Al and Cd and 99.95% for Mg.
The present evaluation was published in the MSIT Evaluation Program earlier and reflects today’s state of
knowledge.
Binary Systems
The binary phase relations for the systems Al-Cd and Cd-Mg are accepted as described by [Mas2]. For the
Al-Mg phase diagram several different versions have been proposed over time. The most consistent
description is that by [2003Luk] which is integrated into the present evaluation. It is based on experimental
investigations of the Al-Mg system between 47 and 63 at.% Al, and calculated phase diagram equilibria
presented by [1998Lia].
Solid Phases
No ternary compounds have been found in the Al-Cd-Mg system. The crystal structures of the binary phases
are listed in Table 1. Adding Cd decreases the solubility of Al in solid (Mg) [1935Hau, 1937Koe, 1946Mik],
how Cd effects the solubility of Al at different temperatures [1935Hau] is shown in Fig. 1. The results of
[1935Hau] agree with those of [1937Koe] and seem to be reliable. The phase can take up to about 1 at.%
Cd at 395°C and about 0.6 at.% Cd at 20°C [1946Mik]. The phase contains at these temperatures more
than 5 at.% Cd and 4 at.% Cd [1946Mik]. The solid solubility of Al in (Mg,Cd) at room temperature seems
to be negligible [1946Mik]. The solubility of Cd at 302°C in the Al-Mg phases , , and as found by
[1993Kal] are listed in Table 2. The ordered phases of the Cd-Mg system have the following concentration
limits: ´ (MgCd3) - from 25 to 32 at.% Mg, ´´ (MgCd) - from 38 to 60 at.% Mg, ´´´ (Mg3Cd) - from 65
to 82 at.% Mg.
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Al–Cd–Mg
Invariant Equilibria
The invariant equilibria have not been determined reliably yet in spite of the many investigations. [1925Val]
and [1926Val] reported a eutectic reaction at 395°C with the eutectic point at about 45Mg-37.5Cd-17.5Al
(at.%). This result is close to that of [1946Mik] who reported a ternary eutectic equilibrium point at
54Mg-32Cd-14Al (at.%) and 396 ± 0.5°C. However, in the diagram presented the ternary eutectic point is
approached by only two monovariant eutectic reactions: L (Al)+ and L +(Mg,Cd). This is incorrect
because it indicates an equilibrium of five phases at the eutectic point. Thus, it is not clear which solid
phases are formed during the ternary eutectic reaction [1925Val, 1926Val]. The data of [1926Val] suggests
the occurrence of a reaction L1 L2+(Al)+X where X is most likely the phase, but there is no proof of this
in the literature. [1976Mon] proposed a similar reaction, with the X phase being unknown. [1938Rie]
informs about two invariant equilibria in this system, but the nature and temperatures of the invariant
equilibria are not clear.
The invariant equilibria proposed by all these works can not be accepted because they are contradictory and
adopted on incorrect Cd-Mg phase diagram.
Liquidus Surface
Figure 2 shows a tentative liquidus surface. The region of immiscibility after [1946Mik] extends up to
53Mg-15Al (at.%) and is appreciably larger than determined by [1926Val, 1938Jae, 1938Rie]. The
isotherms of the liquidus surface are taken from [1946Mik] with minor corrections according to the
accepted binary diagrams.
Isothermal Sections
Isothermal sections of the Al-Cd-Mg phase diagram are reported by [1938Rie, 1938Jae, 1946Mik,
1993Kal]. They contain a number of incorrect features originating from erroneous edge binary Cd-Mg and
Al-Mg systems and have been amended accordingly. The isothermal sections of Figs. 3 and 4 are based on
[1938Rie, 1946Mik, 1993Kal] with modification being applied to match with the accepted edge
binary systems.
The compositions of coexisting phases in the three-phase equilibria at 302°C were determined by [1993Kal]
by microprobe analyses (see Table 2). These data have been used in this evaluation to construct the
isothermal section at 302°C (Fig. 3).
Although [1993Kal] (Table 2) postulates a homogeneity range of about 1 at.% Mg for the phase, it is
treated here as a line compound (Fig. 3) to be consistent with the well established Al-Mg binary diagram.
The isothermal section at 230°C after [1938Rie] was adopted to the accepted binary systems (Fig. 4). The
isothermal sections constructed by [1946Mik] for temperatures of 25 and 395°C are incompatible with both,
the accepted binary phase diagrams and the isothermal sections after [1938Rie] and [1993Kal] at 302°C and
at 230°C. Therefore these data are not presented here.
References
[1925Val] Valentin, J., Chaudron, G., “On the Solidification of Ternary Al-Mg-Cd Alloys” (in
French), Compt. Rend., 180, 61-63 (1925) (Experimental, Equi. Diagram, 7)
[1926Val] Valentin, J., “Contribution to the Study of Ternary Alloys” (in French), Rev. Metall., 23,
295-314 (1926) (Equi. Diagram, Experimental, 5)
[1935Hau] Haughton, J.I., Pain, J.M, “Alloys of Magnesium. Part III. Constitution of the
Magnesium-Rich Alloys Containing Aluminium and Cadmium”, J. Inst. Met., 57, 287-296
(1935) (Equi. Diagram, Experimental, 11)
[1937Koe] Köster, W., Dullenkopf, W., “The Mg-Corner of the Mg-Al-Cd System” (in German),
Z. Metallkd., 29, 202-204 (1937) (Equi. Diagram, Experimental, 3)
[1938Jae] Jaenecke, E., “On Mg-Cd Containing Ternary Alloys and the Binary Mg-Cd Phase Diagram
II” (in German), Z. Metallkd., 30, 424-429 (1938) (Equi. Diagram, Review, 21)
170
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cd–Mg
[1938Rie] Rieder, K., “X-Ray and Micrographic Investigations on the Al-Mg-Cd Phase Diagram” (in
German), Z. Metallkd., 30, 15-16 (1938) (Equi. Diagram, Experimental, 4)
[1946Mik] Mikheeva, V.I., Vasil’eva, V.P., Kryukova, O.N., “Physico-Chemical Analysis of
Magnesium-Rich Alloys of Magnesium-Aluminium-Cadmium System” (in Russian), Izv.
Sekt. Fiz.-Khim. Anal., 16, 275-294 (1946) (Equi. Diagram, Experimental, 21)
[1968Sam] Samson, S., Gordon, E.K., “The Crystal Structure of -Mg23Al30”, Acta Crystallogr., B24,
1004-1013 (1968) (Crys. Structure, Experimental, 32)
[1976Mon] Mondolfo, L.F., “Aluminium Alloys: Structure and Properties”, Butterworths,
London-Boston, 463 (1976) (Equi. Diagram, Crys. Structure, Phys. Prop., Review, 8)
[1981Sch] Schürmann, E., Voss, H.-J., “Study of the Melting Equilibria of Mg-Li-Al Alloys” (in
German), Giessereiforschung, 33, 43-46 (1981) (Equi. Diagram, Experimental, 17)
[1993Kal] Kalmykov, K.B., Dunaev, S.F., Slyusarenko, E.M., “Interaction of Elements in the
Al-Cd-Mg at 575 K” (in Russian), Vestn. MGU Khim, 34(4), 384-387 (1993) (Equi.
Diagram, Experimental, 3)
[1997Su] Su, H.-L., Harmelin, M., Donnadieu, P., Baetzner, C., Seifert, H.J., Lukas, H.L., Effenberg,
G., Aldinger, F., “Experimental Investigation of the Mg-Al Phase Diagram from 47-63 at.%
Al”, J. Alloys Compd., 247, 57-65 (1997) (Experimental, Crys. Structure, Equi. Diagram, #,
*, 20)
[1998Lia] Liang, P., Su, H.-L., Donnadieu, P., Harmelin, M.G., Quivy, A., Ochin, P., Effenberg, G.,
Seifert, H. J., Lukas, H.-L., Aldinger, F., “Experimental Investigation and Thermodynamic
Calculation of the Central Part of the Mg-Al Phase Diagram”, Z. Metallkd., 89, 536-540
(1998) (Equi. Diagram, Thermodyn., Experimental, Theory, *, 33)
[2003Luk] Lukas, H.L.,“Al-Mg (Aluminium-Magnesium)”, MSIT Binary Evaluation Program, in
MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart; to be published, (2003) (Crys. Structure, Equi. Diagram, Assessment, 49)
Table 1: Crystallographic Data of Solid Phases
Phase /
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
< 660
cF4
Fm3m
Cu
a = 404.96 pure Al at 25°C [Mas2]
(Mg,Cd)
< 650
hP2
P63/mmc
Mg
a = 297.88
c = 561.67
a = 320.94
c = 521.05
pure Cd at 21°C [Mas2]
pure Mg at 25°C [Mas2]
, Mg2Al3< 452
cF1168
Fd3m
Mg2Al3
a = 2823.9 1168 atoms on 1704 sites per unit cell
[2003Luk]
60-62 at.% Al [1997Su]
, Mg23Al30
410-250
hR159
R3
Mg23Al30
a = 1282.54
c = 2174.78
[V-C, 1981Sch, 1968Sam]
159 atoms refer to hexagonal unit cell
[2003Luk]
, Mg17Al12
< 458
cI58
I43m
Mn
a = 1048.11
a = 1053.05
a = 1056
a = 1057.91
52.58 at.% Mg [L-B]
56.55 at.% Mg [L-B]
58.62 at.% Mg (Mg17Al12) [P]
60.49 at.% Mg [L-B]
171
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cd–Mg
Table 2: Solid Phases Compositions in the Three-Phase Fields of the Al-Cd-Mg System at 302°C [1993Kal]
´, MgCd3
< 125
hP8
P63/mmc
Ni3Sn
a = 623.35
c = 504.50
at 24.8 at.% Mg and 25°C
[Mas2, V-C2]
´´, MgCd
< 253
oP4
Pmma
AuCd
a = 500.51
b = 322.17
c = 527.00
at 49.7 at.% Mg and 18°C
[Mas2, V-C2]
´´´, Mg3Cd
< 186
hP8
P63/mmc
Ni3Sn
a = 631.3
c = 507.4
at 75.0 at.% Mg and 25°C
[Mas2, V-C2]
Three-Phase Field Phase Composition (at.%)
Al Cd Mg
+ + (Al)
(Al)
0.9
61.3
95.6
42.1
0.5
0.3
57.0
38.2
4.1
+ + 2.1
60.5
54.2
36.9
0.4
3.1
61.0
39.1
42.7
+ + 2.9
53.1
42.7
34.9
3.0
7.0
62.2
43.9
50.3
Phase /
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
172
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cd–Mg
90
10
10
Mg Mg 85.00Cd 15.00Al 0.00
Mg 85.00Cd 0.00Al 15.00 Data / Grid: at.%
Axes: at.%
200°C
291°C
358°C
420°C
Fig. 1: Al-Cd-Mg.
Boundaries of (Mg)
solid solution at
different
temperatures
20
40
60
80
20 40 60 80
20
40
60
80
Mg Cd
Al Data / Grid: at.%
Axes: at.%
600
550
500450
?
?
?
L1+L2
(Al)
(Al)
e1,450.5
e2,449.5
e3,436
450
l1, 650°C
l2, 650e4, 320δ(Mg,Cd)
δ(Mg,Cd)
γ
β ?
Fig. 2: Al-Cd-Mg.
Tentative liquidus
surface
173
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cd–Mg
20
40
60
80
20 40 60 80
20
40
60
80
Mg Cd
Al Data / Grid: at.%
Axes: at.%
(Al)+δ+ββ
δ(Mg,Cd)
δ+β+ε
δ+ε+γ
ε
γ
(Al) + δ
δ + γ
(Al)
20
40
60
80
20 40 60 80
20
40
60
80
Mg Cd
Al Data / Grid: at.%
Axes: at.%
(Al) + δ + ββ
δ(Mg,Cd)
δ + ε + γ
γ
(Al) + δ
δ + γ
α'''
α''' + δ(Mg,Cd)
(Al)
Fig. 3: Al-Cd-Mg.
Isothermal section at
302°C
Fig. 4: Al-Cd-Mg.
Isothermal section at
230°C
174
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Co
Aluminium – Cerium – Cobalt
Oksana Bodak
Literature Data
Critical analysis of the literature data has been carried out by [1991Gri], based on 11 articles, from which
the following information could be retrieved: the partial isothermal section at 600°C [1980Zar],
composition and structure of several compounds such as CeCoAl4 [1974Yar, 1977Ryk], CeCoAl [1971Oes,
1983Gri], Ce2Co15Al2 [1962Zar], structure of the phases at 33.3 [1968Man, 1982Eva] and 16.7 at.% Ce
(RCo5-xAlx) [1976Zak, 1982Eva], enthalpy of formation of the CeCoAl compound [1987Shi].
Three new works contain the results of investigations concerning crystal structure and magnetic properties
of the CeCoAl4 compound [1997Moz] and the Ce2Co17-xAlx phase [1999Hu, 1999She1, 1999She2].
The samples were generally prepared by arc melting the pure metals. Both annealed and as cast alloys were
investigated. Mainly the X-ray diffraction methods were used for crystal structure determination. Only the
CeCoAl4 crystal structure was studied also by neutron diffraction [1997Moz]. Magnetic properties were
studied by means of a SQUID magnetometer in the 5-300 K temperature range and in magnetic fields up to
5 T [1997Moz, 1999Hu]. Extracting sample magnetometer in fields up to 65 kOe was used by [1999She1,
1999She2]. Foner magnetometer and Faraday method were used in older works.
Binary Systems
Ce-Co and Al-Ce binary systems were taken from [Mas2]. Al-Co system was accepted from the [2003Gru]
assessment.
Solid Phases
Four ternary compounds were found in the system, for all of them the crystal structure has been determined:
1, CeCo2Al8 by [1974Yar], 3, CeCoAl4 by [1977Ryk, 1997Moz]. [1962Zar] described the Ce2Co15Al2ternary phase. The existence of this phase was confirmed by [1999Hu, 1999She1, 1991She2]. However the
stability ranges of the rhombohedral phase significantly differ in these articles: it is Ce2Co15-14Al2-3
according to [1999Hu], and Ce2Co16-14Al1-3 according to [1999She2]. Moreover, in the latter article, at the
composition Ce2Co13-12Al4-5 a hexagonal phase similar to CaCu5 was reported. This discrepancy may
result from different investigation temperatures (1000°C in [1999She1, 1999She2]). An earlier
investigation of the Ce1-xCo5Alx composition, annealed at 1000°C, was made by [1982Eva]. It showed that
substitution of 1 to 3 at.% Al (0.06 x 0.18) for Ce in CeCo5 produces a mixture of the 1:5 and 2:17
phases; there are two variations of the 2:17 phase which are isostructural with the hexagonal Th2Ni17 type
and rhombohedral Th2Zn17 type phases respectively. At the composition Ce0.76Co5Al0.24 (4 at.% Al) the
alloy consists of the 2:17 type phases and the metallographic appearance is single phase.
Some uncertainty is with the CeCoAl compound. [1968Man, 1969Tes] adopted for this phase the MgZn2
type structure. Previously [1971Oes] had proposed a different crystal structure, even though [1968Man]
reported the presence of an additional phase. [1980Zar] also reports that CeCoAl does not belong to MgZn2
type structure. Complete investigation of the CeCoAl structure using single-crystal technique was
performed by [1983Gri]: he determined a monoclinic structure related to MgZn2.
The crystal structure of all the phases included in the investigated part of the system is presented in Table 1.
Isothermal Section
The Al-Ce-Co isothermal section at 600°C is presented in Fig. 1. It is built according to [1980Zar], but
modified taking into account new data on the Al-Co system [2003Gru]. The CeCo5-xAlx phase is reported
to exist in the ternary [1976Oes, 1980Zar, 1982Eva] but, at this temperature, it is not stable in the Ce-Co
subsystem.
175
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Co
Miscellaneous
In most cases, the magnetic properties of CeCoAl, CeCoAl4 and of the solid solutions based on Ce2Co17,
CeCo5 and CeCo2 were investigated. Only for CeCoAl phase also the enthalpy of formation was measured
[1987Shi].
References
[1962Zar] Zarechnyuk, O.S., Kripyakevich, P.I., ”The Crystal Structures of Ternary Compounds in the
Systems Cerium-Transition Metal-Aluminium” (in Russian), Kristallografiya, 7, 543-554
(1962) (Experimental, Crys. Structure, 9)
[1968Man] Mansey, R.C., Raynor, G.V., Harris, I.R. “Rare-Earth Intermediate Phases. VI. Pseudo
binary Systems Between Cubic Laves Phases Formed by Rare-Earth Metals with Fe, Co, Ni,
Al and Rh”, J. Less-Common Met., 14, 337-347 (1968) (Experimental, Crys. Structure, 6)
[1969Tes] Teslyuk, M.Yu., “Intermetallic Compounds with Structure of Laves Phases” (in Russian),
Intermetallic Compounds with Structure of Laves Phases, Moscow, Nauka, 1-138 (1969)
(Review, Crys. Structure, Equi. Diagram, 132)
[1971Oes] Oesterreicher, H., “Structural Studies of Rare-Earth Compounds RCoAl”, J. Less-Common
Met., 25, 228-230 (1971) (Experimental, Crys. Structure, 13)
[1974Yar] Yarmolyuk, Ya.P., Rykhal, R.M., Zarechnyuk, O.S., “Crystal Structure of CeFe2Al8 and
LaCoAl4” (in Russian), Tezisy Dokl.-Vses. Konf. Kristallokhim. Intermet., 2nd., 39-40
(1974) (Experimental, Crys. Structure, 10)
[1976Oes] Oesterreicher, H., McNeely, D., “Low-Temperature Magnetic Studies on Various
Substituted Rare Earth”, J. Less-Common Met., 45, 111 (1976) (Experimental, Crys.
Structure, 6)
[1976Zak] Zakharova, M.I., Gladyshev, S.N., Khatanova, N.A., Tulupov, I.F., Vereshnikov, E.E.,
Bal’zhinev, S.A., “Phase Composition and Structure of RCo5 Type Alloys with Additional
Elements (Cu, Al, Mn, Nb, Ni)”, Russ. Metall., (3), 156-159 (1976) translated from Izv.
Akad. Nauk SSSR, Met., (3), 205-209 (1976) (Crystal Structure, Experimental, 3)
[1977Ryk] Rykhal, R.M., Zarechnyuk, O. S., Yarmolyuk, Y.P., “Crystal Structure of the Compounds
LaCoAl4, GeCoAl4 and PrCoAl4” (in Ukrainian), Dop. Akad. Nauk Ukr. RSR A, Fiz-Mat.
Tekh. Nauki, 3, 265-268 (1977) (Experimental, Crys. Structure, 2)
[1980Zar] Zarechnyuk, O.S., Rykhal, R.M., Korin, V.V. “X-Ray Structural Study of Alloys of the
Ternary Cerium-Cobalt-Aluminium System in the Region 0-33.3 at.% Cerium” (in
Ukrainian), Dop. Akad. Nauk Ukr. RSR, 1A, 84-85 (1980) (Experimental, Crys. Structure,
Equi. Diagram, #, *, 9)
[1982Eva] Evans, J., Harris, I. R., “Constitution, Structure and Magnetic Properties of Some
Rare-Earth-Cobalt-Aluminium Alloys”, J. Mater. Sci., 17(1), 17-30 (1982) (Experimental,
Crys. Structure, 18)
[1983Gri] Grin, Yu. N., Sichevich, O.M., Bruskov, V.A., Rykhal, R.M., Yarmolyuk,Ya.P. “Crystal
Structure of CeAlCo and CeGaCo Compounds”, Sov. Phys. Crystallogr., 28(3), 346-347
(1983) (Experimental, Crys. Structure, 8)
[1987Shi] Shilov, A.L., “Heats of Formation of Intermetallic Compounds”, Russ. J. Phys. Chem.,
61(5), 719 (1987), translated from Zh. Fiz. Khim., 61, 1384-1385 (1987) (Experimental,
Thermodyn., 13)
[1988Gsc] Gschneidner, Jr.K.A., Calderwood, F.W., “The Aluminum-Cerium (Al-Ce) System”, Bull.
Alloy Phase Diagrams, 9(6), 669-72 (1988) (Review, 35)
[1991Gri] Grieb, B., “Aluminium-Cobalt-Cerium”, MSIT Ternary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart, Document ID: 10.14766.1.20 (1991) (Review, Equi. Diagram, Crys. Structure,
11)
176
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Co
[1997Moz] Moze, O., Tung, L.D., Franseand, J.J.M., Buschow, K.H.J., “Crystal Structure and the
Magnetic Properties of the Compound CeCoAl4”, J. Alloys Compd., 256, 45-47 (1997)
(Experimental, Crys. Structure, Magn. Prop., 8)
[1999Hu] Hu, S.J., Wei, X.Z., Zeng, D.C., Kou, X.C., Liu, Z.Y., Brueck, E., Klaasse, J.C.P., de Boer,
F.R., Buschow, K.H.J., “Structure and Magnetic Properties of Ce2Co17-xAlx Compounds”,
J. Alloys Compd., 283, 83-87 (1999) (Experimental, Crys. Structure, Magn. Prop., 10)
[1999She1] Shen, B., Cheng, Z., Zhang, S., Wang, J., Liang, B., Zhang, H., Zhan, W., “Magnetic
Properties of R2Co15Al2 Compounds with R= Y, Ce, Pr, Nd, Sm, Gd, Tb, Ho, Er, Tm”,
J. Appl. Phys., 85(5), 2787-2792 (1999) (Experimental, Crys. Structure, Magn. Prop., 43)
[1999She2] Shen, B., Wang, J., Zhang, H., Zhang, S., Cheng, Z., Liang, B., Zhan, W., Lin, C.,
“Magnetocrystalline Anisotropy of Ce2Co17-xAlx Compounds with x = 0-3”, J. Appl. Phys.,
85(8), 4666-4668 (1999) (Experimental, Crys. Structure, Magn. Prop., 6)
[2003Gru] Grushko, B, Cacciamani, G., “Al-Co (Aluminium-Cobalt)”, MSIT Binary Evaluation
Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International
Services GmbH, Stuttgart; to be published, (2003) (Equi. Diagram, Assessment, Crys.
Structure, 72)
Table 1: Crystallographic Data of Solid Phases
Phases/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
< 660.452
cF4
Fm3m
Cu
a = 404.88 [Mas2]
( Co)
1495-422
cF4
Fm3m
Cu
a = 354.46 [Mas2]
( Co)
< 422
hP2
P63/mmc
Mg
a = 250.71
c = 406.95
[Mas2]
Co2Al9< 970
mP22
P21/a
...
a = 855.6
b = 629.0
c = 621.3
= 94.76°
[2003Gru]
O-Co4Al13
< 1080
oP102
Pmn21
O-Co4Al13
a = 815.8
b = 1234.7
c = 1445.2
[2003Gru]
M-Co4Al13
1093-?
mC102
C2/m
Fe4Al13
a = 1517.3
b = 810.9
c = 1234.9
= 107.84°
[2003Gru]
Y
1127-?
either (o-Co4Al13)
or (m-Co4Al13)
...
Immm
mC34
C2/m
Os4Al13
a = 1531.0
b = 1235.0
c = 758.0
a = 1704.0
b = 409.0
c = 758.0
= 116.0°
[2003Gru]
177
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Co
Z
< 1158
C-centr. monocl. a = 3984.0
b = 814.8
c = 3223.0
= 107.97°
[2003Gru]
Co2Al5< 1188
hP28
P63/mmc
Co2Al5
a = 767.2
c = 760.5
[2003Gru]
Co1-xAlx< 1640
cP2
Pm3m
CsCl
a = 285.7
a = 286.2
a = 285.9
x = 0.52 [2003Gru]
x = 0.5
x = 0.43
Ce3Al11
1235-1020
tI10
I4/mmm
BaAl4
a = 437.4
c = 1012
[Mas2, V-C2]
Ce3Al11
< 1020
oI28
Immm
La3Al11
a = 439.5
b = 1302.5
c = 1009.2
[Mas2, V-C2]
CeAl3< 1135
hP8
P63/mmc
Ni3Sn
a = 654.1
c = 461.0
[Mas2, V-C2]
CeAl2-xCox
< 1480
cF24
Fd3m
MgCu2
a = 804.73
a = 801.5 ± 2
0 < x < 0.3 at 600°C [1980Zar]
x = 0 [1968Man]
x = 0.166 [1968Man]
CeAl
< 845
oC16
Cmc2 or Cmcm
CeAl
a = 926.9
b = 768.0
c = 576.1
[1988Gsc]
Ce3Al
655-250
cP4
Pm3m
AuCu3
a = 498.9 [1988Gsc]
Ce3Al
< 250
hP8
P63/mmc
Ni3Sn
a = 704.2
c = 545.1
[1988Gsc]
Phases/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
178
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Co
Ce2Co17-xAlx1220-~1050
hP38
P63/mmc
Th2Ni17
hP6
P6/mmm
CaCu5
a = 839
c = 816.3
a = 838
c = 812
a = 838.1
c = 814.0
a = 838.8
c = 814.4
a = 840.2
c = 816.4
a = 846.2
c = 1232.8
a = 843.0
c = 1235.1
a = 493.3
c = 411.6
a = 494.8
c = 409.3
x = 0 [1976Oes]
x = 0 [1962Zar] at 500°C
x = 0 [1999She2] at 1000°C
x = 0 [1999Hu] at 1000°C
x = 1 [1999She2]at 1000°C
x = 3 [1999She2] at 1000°C
x = 3.5 [1999Hu] at 1000°C two phase
sample (1:5)
x = 4 [1999Hu] at 1000°C
x = 5 [1999Hu] at 1000°C
Ce2Co17-xAlx1050
hR57
R3m
Th2Zn17
a = 837.8
c = 1220.6
a = 839.7
c = 1222.7
a = 841.1
c = 1225.4
a = 843.4
c = 1228.8
a = 843.3
c = 1230.2
x = 0 [Mas2, V-C2]
x = 1 [1999Hu]at 1000°C
x = 2 [1999Hu] at 1000°C
x = 2 [1999She2] at 1000°C
x = 3 [1999Hu] at 1000°C
Phases/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
179
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Co
CeCo5-xAlx
CeCo5
1134-600
hP6
P6/mmm
CaCu5
a = 491.97
c = 402.9
a = 491.6
c = 401.2
a = 493
c = 402
a = 492.92
c = 401.73
a = 492.87 ± 50
c/a = 0.815
a = 492.92 ± 50
c/a = 0.815
a = 493.00 ± 50
c/a = 0.815
a = 492.9
c = 402.2
a = 493.8
c = 403.2
a = 490.2
c = 410.5
a = 491.0
c = 410.4
a = 503
c = 407
0.03 < x < 1.2 at 600°C [1980Zar]
x = 0 [Mas2, V-C2]
x = 0 [1976Oes]
x = 0, at 600°C
[1980Zar]
x = 0, at 1000°C
[1982Eva]
x = 0.06 (Ce1-xCo5Alx) [1982Eva]
x = 0.12 (Ce1-xCo5Alx) [1982Eva]
x = 0.18 (Ce1-xCo5Alx) [1982Eva]
x = 0.3 [1976Oes]
x = 0.6 [1976Oes]
x = 0.9 [1976Oes]
x = 1.2 [1976Oes]
x = 1.2 [1980Zar]
Ce5Co19
< 1134
hR72
R3m
Ce5Co19
a = 494.75
c = 4874.34
[Mas2, V-C2]
Ce2Co7
< 1130
hP36
P63/mmc
Ce2Ni7
a = 494.9
c = 2449
[Mas2, V-C2]
CeCo3
< 1103
hR36
R3m
NbBe3
a = 496.4
c = 2481.4
[Mas2, V-C2]
CeCo2-xAlx< 1036
CF24
Fd3m
MgCu2
a = 714.67
a = 715
a = 717.6
a = 719
0.3 < x < 0 [1980Zar]
x = 0 [1968Man]
x = 0 [1980Zar]
x = 0.167 [1968Man]
x = 0.3 [1980Zar]
Ce24Co11 hP70
P63mc
Ce24Co11
a = 958.7
c = 2182.5
[V-C2]
* 1, CeCo2Al8 oP44
Pbam
CeFe2Al8
a = 1241
b = 1430
c = 412
[1974Yar, 1980Zar]
Phases/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
180
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Al–Ce–Co
* 2, Ce2Co15Al2 hR57
R3m
Th2Zn17
a = 844
c = 1230
a = 844
c = 1250
[1962Zar]
[1980Zar]
* 3, CeCoAl4 oC12
Pmma
LaCoAl4
a = 770.1
b = 408.2
c = 702.3
a = 7589
b = 404.8
c = 701.4
a = 766.024
b = 405.616
c = 691.355
[1977Ryk]
[1980Zar]
[1997Moz]
* 4, CeCoAl hP12
P63/mmc
MgZn2
mC12
C2/m
PdBi2
a = 514.0
c = 800.0
a = 549.0
c = 866.0
a = 1109.8(7)
b = 441.0(1)
c = 480.7(3)
= 104.61(5)°
[1969Tes]
[1968Man]
(related to MgZn2 ) [1983Gri]
Phases/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
20
40
60
80
20 40 60 80
20
40
60
80
Ce Co
Al Data / Grid: at.%
Axes: at.%
Ce3Al11
CeAl3
CeAl2
Co2Al9
Co2Al5
Co1-xAlx
CeCo2
CeCo3Ce5Co19
Ce2Co7Ce2Co17
O-Co4Al13
Zτ
1
τ5
τ3 τ
2
τ4
(Co)
Fig. 1: Al-Ce-Co.
Isothermal section at
600°C
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Al–Ce–Cu
Aluminium – Cerium – Copper
Peter Rogl, updated by Paola Riani, Pierre Perrot
Literature Data
No complete phase diagram exists for the Al-Ce-Cu system and information about the phase equilibria inthe Al-rich part of the system is mainly based on the investigations by [1961Gla1, 1964Zar, 1991Yun]. Thecrystallographic characterization of the ternary compounds is due to [1961Gla2, 1963Zar, 1964Che,1964Zar, 1968Dwi, 1976Bus, 1985Cor1, 1985Cor2], while interesting physical properties were reported by[1987Bau, 1988Fis, 1991Kim, 2000Jav] and structural properties by [1978Tak, 1985Rau, 1990Cor,1996Moz]. Investigations on magnetic properties were made by [1973Oes, 1982Fel, 1992Bau, 1996Moz,1998Jav, 1999Kon] and thermal effects studied by [2000Kon, 2001Che].[1961Gla1] was the first to examine the phase relations in the Al-rich corner employing X-ray,metallographic and chemical analysis and micro-hardness measurements on a total of 130 alloys. Ce-richspecimens were prepared from 99.9 mass% pure Al, 98.6% pure Ce and 99.89% pure Cu by melting theconstituents; Ce-poor specimens were prepared from a “hardener” alloy in Al2O3-crucibles under carnallite.All the alloys were annealed in vacuum at 500 and 400 2°C for 120 or 240 h, respectively and were finallyquenched in toluene. Lattice parameters were measured with a claimed precision of 0.01 pm on polishedsample surfaces in a back-reflection camera at 400 and 500°C for three series of alloys with constantamounts of 1 mass% Ce, 5 mass% Ce and 5 mass% Cu, respectively. The plots of the unit cell dimensionsversus concentration were used to establish the extension limits and vertices of the two- and three-phaseequilibria of the (Al) solid solution. A series of successive crystallographic investigations [1961Gla2,1963Zar, 1964Che, 1964Zar, 1990Cor, 1996Moz] confirmed and completed the description of the ternarycompounds originally reported by [1961Gla1], with some changes in the composition and homogeneityfields of the intermediate phases. A more complete version of the phase equilibria in the Al-rich part of the400°C isothermal section was presented in a review article by [1985Bod]. Similar preparation methods wereemployed by [1968Dwi, 1973Oes, 1982Fel, 1985Cor1, 1985Cor2]. [1991Yun] employed DTA andmicrostructural analysis to investigate the specimens prepared by melting the constituent metals andannealing them at 500°C for 240 h. The liquidus surface and a number of vertical sections in the Al-richregion have been constructed by [1991Yun]. The present evaluation updates and completes the evaluationmade earlier by P. Rogl in the MSIT Evaluation Program [1991Rog].
Binary Systems
The present evaluation of ternary data is consistent with the description of the edge binary diagrams Al-Ceby [2000Oka], Al-Cu by [2003Gro] and Ce-Cu by [2002Per].
Solid Phases
Crystallographic data of all the binary and ternary compounds are listed in Table 1. On the basis of X-raypowder data for 1(CeCu4Al8), [1963Zar] and [1976Bus] agree on the existence of complete atomic orderwith Ce in the 2a sites, Cu in 8f and Al in the 8i and the 8j sites of space group I4/mmm. There is, however,a slight discrepancy in the unit cell dimensions reported by the two research groups possibly due tohomogeneity differences. The existence of the 2 homogeneous range extending at 500°C fromCe2Cu6.5Al10.5 to Ce2Cu7.3Al9.7 was determined by [1963Zar]. From an analysis of the X-ray powderintensity data a partial atomic order was revealed for Ce2Cu6.5Al10.5 with Ce in the 6c-sites, Cu in 9d,(10.5Cu+7.5Al) in 18 h, Al in 6c (0, 0, 0.097) and Al in the 18f sites of space group R3m. Single crystal andpowder X-ray intensity data for 4(CeCuxAl4-x) (0.75 x 1.00) revealed Ce atoms in 2a, Al atoms in 4dand a statistical distribution of Cu and Al atoms in the 4e-positions (0, 0, 0.385(3)) [1964Zar]. A partiallyordered structure for CeCuAl3 and its conversion into the completely ordered BaNiSn3 type has beendescribed by [1995Hul]. According to [1996Moz] the refinement results of neutron powder diffraction
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patterns show that the CeCuAl3 compound does not crystallize as a disordered form of the ThCr2Si2structure but belongs to the more ordered BaNiSn3-type. Refinement of single crystal X-ray data of
3(CeCu6.5Al6.5) confirmed isotypism with the NaZn13 type and a statistical distribution of Cu, Al atomsin the 96i-sites (0, 0.1780(2), 0.1181(2)) of space group Fm3c with Ce in 8a and Cu in 8b. No indicationsfor the existence of a homogeneous range were made by [1985Cor1, 1985Cor2], however, significantlylarger cell parameters for a stoichiometry of “CeCu6Al6” were reported by [1982Fel].
Liquidus Surface
A projection of the liquidus surface was suggested by [1991Yun]. However it does not completely fit neitherthe vertical sections presented in the same work, nor the accepted binary diagrams, and therefore theliquidus projection is not reproduced in this evaluation. Figure 1 shows the primary crystallization domainsin the Al-CeAl2-CuAl2 part of the diagram after [1991Yun] with some modifications made to comply withthe accepted binary edge diagrams. The 1, CeCu4Al8 and 4,CeCuxAl4-x compounds are considered asstoichiometric and melt congruently at 825 and 1230°C, respectively. The stoichiometry given for
4,CeCuxAl4-x by [1991Yun] differs slightly from that proposed by [1964Zar]: 4,CeCuxAl4-x (with0.75 < x < 1). Invariant equilibria and reaction scheme are presented in Table 2 and Fig. 2, respectively.However it has to be noted that phase compositions at invariant reactions given by [1991Yun] in a tabularpresentation are not compatible with those shown in the diagram in the same publication. The values givenin Table 2 in the present evaluation are estimated from the diagram given by [1991Yun] and should beconsidered as tentative.For the 5,CeCuAl compound a peritectoid decomposition above 650°C was suggested by [2001Che], withthe formation of CeCu5-xAlx, CeAl2 and a new ternary phase with unknown structure corresponding to theCe2Cu2Al composition.
Isothermal Sections
Figures 3 and 4 show the equilibria in the Al-rich region at 400 and 500°C. The phase field distribution at400°C is mainly based on [1961Gla1] with small corrections made regarding to the position andhomogeneity ranges of the binary and ternary phases. The two-phase equilibrium
Ce3Al11 + 4CeCu0.75Al3.25 as shown in Figs. 3 and 4 was also observed at 800°C by [1964Zar], whereasalloys with 20 at.% Ce and with 40 and 50 at.% Al at 800°C were reported to reveal a two-phasedequilibrium between CeCuxAl4-x and CeCu5-xAlx (CaCu5 type). The extended solid solution of Al in CeCu5with the CaCu5 type structure is confirmed by [1978Tak], who claimed the existence of CeCu4Al andCeCu3Al2 with this structure, whilst an alloy “CeCu2Al3” was found to be multi-phase. There are, however,no details available concerning the extended solid solution CeCu4-xAlx reported by [1985Bod].
Temperature – Composition Sections
A number of vertical sections of the phase diagram, (Al)- 1,CeCu4Al8, (Al)- 4,CeCuAl4, 1,CeCu4Al8-
4,CeCuAl4 and 4,CeCuAl4-CeAl2, all showing a simple eutectic behavior were studied by [1991Yun].They are shown in Figs. 5, 6, 7 and 8. The eutectic temperatures have been accepted as given by the authors.However, the positions of the eutectic e5 (Fig. 5) and e4 (Fig. 6) have been modified for the sake ofcoherence with crystallization domains shown in Fig. 1.
Notes on Materials Properties and Applications
[1961Gla1] reported on the microhardness of the (Al) solid solution; a microhardness of 200 MPa for abinary (Al - 1 mass% Ce) alloy is compared with 420 MPa for a ternary (Al - 1 mass % Ce - 6 mass % Cu)alloy. The microhardness of CeCu4Al8 was 3860 100 MPa, and that of CeCuAl3 was 3170 100 MPa[1961Gla1]. From a magnetic analysis, CeCuAl exhibits a small value of susceptibility and does not ordermagnetically [1973Oes]. For the ternary compounds CeCu4Al8, Ce2Cu7Al10 and CeCu6.5Al6.5 physicalproperties have been investigated by [1985Rau], such as electrical resistivity (30 mK to 400 K),thermoelectric power (1.5 to 400 K), low field a.c. susceptibility (117 Hz, 30 mK to 4.2 K, in fields up to
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8 T) and the specific heat (from 100 mK to 4.2 K, 0-8 T) CeCu6.5Al6.5 shows a magnetic transition at 0.5K, which displays spin-glass-like behavior although representing a periodic lattice of local moments[1985Rau]. “CeCu6Al6” (NaZn13 type) was claimed to exhibit paramagnetic behavior of trivalent cerium down to 1.7K [1982Fel]. [1996Shc] carried out LIII X-ray absorption (77 and 300 K) and magnetic susceptibilitymeasurements on RCu4Al8 compounds finding peculiarities of the valence state of Ce and Yb in RCu4Al8.Finally [2000Kon] studied magnetic properties of CeCu4+xAl8-x (0 x 0.55) by specific heat andelectrical resistivity, 27Al-NMR and 63Cu-NQR measurements.Spin fluctuations in the Ce2Cu8Al9 phase have been studied by neutron scattering [1999Ooh].[1996Aoy] carried out an NMR study on the heavy fermion material CeCuAl3 and [1996Kon] studied byNMR the effect of high pressure on the heavy fermion anti-ferromagnet CeCuAl3, up to 15 kbar.Subsequently [1999Kon] investigated magnetic properties of CeCuxAl4-x for x = 0.8, 0.9, 1, 1.1, bymagnetic susceptibility, high-held magnetization, specific heat and electrical resistivity measurements onsingle crystal samples.Recent papers about magnetic properties of the RCuAl phases are the following. [2000Jav] reported a comparative study of CeNiAl and CeCuAl with respect to crystal structure and specificheat: magnetic ordering below 5 K has been proposed for CeCuAl, the coefficient of the specific heat is~150 mJ mol-1K-2, as obtained in the range 12-20 K. Subsequently the electrical resistivity andmagnetization measurements, carried out by [2001Che], revealed the occurrence of antiferromagneticordering in CeCuAl below TN = 5.2 K; moreover electronic structure has been investigated by core-levelphotoemission spectroscopy by [1993Sin].Finally [2001Li] studied the effect of Ce addition on the hydrogen absorption of Al-32.2Cu (mass%)eutectic alloy melt. CeCu6.5Al6.5 was said to be stable in air but dissolves slowly in diluted acids [1985Cor1,1985Cor2].
References
[1931Pre] Preston, G.D., “An X-ray Investigation of Some Copper-Aluminium Alloys”, Philos. Mag.,12, 980-993 (1931) (Crys. Structure, Experimental, 11)
[1961Gla1] Gladyshevsky, E.I., Kolobnev, I.F., Zarechnyuk, O.S., “Aluminium-Rich Alloys in the Al-Ce-Cu System”, Russ. J. Inorg. Chem., 6, 1075-1078 (1961), translated from Zhur. Neorg.
Khim., 6, 2103 (1961) (Experimental, Equi. Diagram, 4) [1961Gla2] Gladyshevsky, E.I., Kripyakevich, P.I., Teslyuk, M.Yu., Zarechnyuk O.S., Kuz'ma, Yu.B.,
“Crystal Structures of Some Intermetallic Compounds”, Sov. Phys. Crystallogr., 6, 207-208(1961) (Crys. Structure, 11)
[1963Zar] Zarechnyuk, O.S., Kripyakevich, P.I., “Crystal Structures of Ternary Compounds in theSystems Cerium - Transition Metal - Aluminium”, Sov. Phys. Crystallogr., 7, 436-446(1963) (Experimental, Crys. Structure, 9)
[1964Che] Cherkashin, E.E., Zarechnyuk, O.S., Kripyakevich, P.I., Kolobnev, I.F., “Crystal Structureof the Compounds in the Ce-Mn-Cu-Al System and in the Corresponding Ternary System”,Vopr. Teorii i Primeneniya Redkozem. Metal., Akad. Nauk SSSR, 151-152 (1964)(Experimental, Crys. Structure, 8)
[1964Zar] Zarechnyuk, O.S., Kripyakevich, P.I., Gladyshevskij, E.I., “Ternary IntermetallicCompounds with a BaAl4 Type Superlattice”, Sov. Phys. Crystallogr., 9, 706-708 (1965),translated from Kristallografiya, 9, 835-838 (1964) (Experimental, Crys. Structure, 6)
[1968Dwi] Dwight, A.E., Muller, M.H., Conner, Jr., R.A. Downey, J.W., Knott, H., “TernaryCompounds with the Fe2P Type Structure”, Trans. AIME, 242, 2075-2080 (1968)(Experimental, Crys. Structure, 14)
[1973Oes] Österreicher, H., “Structural and Magnetic Studies on Rare Earth Compounds RNiAl andRCuAl”, J. Less-Common Met., 30, 225-236 (1973) (Experimental, Crys. Structure, Magn.Prop., 21)
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[1976Bus] Buschow, K.H.J., van Vucht, J.H.N., van den Hoogenhof, W.W., “Note on the CrystalStructure of the Ternary Rare Earth - 3d Transition Metal Compounds of the Type RT4Al8”,J. Less-Common Met., 50, 145-150 (1976) (Crys. Structure, Experimental, 2)
[1978Tak] Takeshita, T., Malik, S.K., Wallace, W.E., “Crystal Structure of RCu4Ag and RCu4Al(R=Rare Earth) Intermetallic Compounds”, J. Solid State Chem., 23, 225-229 (1978)(Experimental, Crys. Structure, 8)
[1982Fel] Felner, I., Nowik, I., “Magnetic Properties of RM6Al6 (R=Light Rare Earth, M = Cu, Mn,Fe)”, J. Phys. Chem. Solids, 43, 463-465 (1982) (Experimental, Crys. Structure, Magn.Prop., 4)
[1985Bod] Bodak, O.I., Gladyshevskij, E.I., Ternary Systems with Rare Earth Metals, Vyshcha Schola,Lviv, 79-80 (1985) (Review, Crys. Structure, Equi. Diagram, 3)
[1985Cor1] Cordier, G., Czech, E., Schäfer, H., “On the Knowledge of the Compounds Ca4Cd5Al3,CaAg4Al7, CaCu6.5Al6.5, SrAg6.5Al6.5 and CeCu6.5Al6.5” (in German), J. Less-Common
Met., 108, 225-239 (1985) (Experimental, Crys. Structure, 33) [1985Cor2] Cordier, G., Czech, E., Schäfer, H., Woll, P., “Structural Characterization of New Ternary
Compounds of Uranium and Cerium”, J. Less-Common Met., 110, 327-330 (1985)(Experimental, Crys. Structure, 5)
[1985Mur] Murray, J.L., “The Aluminum-Copper System”, Int. Met. Rev., 30(5), 211-233 (1985)(Equi. Diagram, Crys. Structure, Review, 230)
[1985Rau] Rauchschwalbe, U., Gottwick, U., Ahlheim, U., Mayer, H.M., Steglich, F., “Investigationof New Lanthanum-, Cerium- and Uranium-Based Ternary Intermetallics”, J. Less-
Common Met., 111, 265-275 (1985) (Experimental, Crys. Structure, 31) [1987Bau] Bauer, E., Gratz, E., Pillmayr, N., “Heavy Fermion Behavior of the Nonmagnetic CeCu4Al
Compound”, Solid State Commun., 62(4), 271-274 (1987) (Magn. Prop., Experimental, 22)[1988Fis] Fisk, Z., Thompson, J.D., Ott, H.R., “Heavy-Electrons: New Materials”, J. Magn. Magn.
Mater., 76/77, 637-641 (1988) (Crys. Structure, Experimental, 21)[1988Gsc] Gschneidner Jr, K.A., Calderwood, F.W., “The Aluminum-Cerium (Al-Ce) System”, Bull.
Alloy Phase Diagrams, 9(6), 669-672 (1988) (Review, 35)[1989Mee] Meetsma, A., de Boer, J.L., van Smaalen S., “Refinement of the Crystal Structure of
Tetragonal Al2Cu”, J. Solid State Chem., 83(2), 370-372 (1989) (Crys. Structure,Experimental, 17)
[1990Cor] Cordier, G., Doersam, G., Roehr, C., “New Ternary Representatives of ThCr2Si2- and ofCaZn2Al2-Structure Types in the Systems A-T-X and RE-T-X (A = Calcium, Strontium,Barium; RE = Lanthanum, Cerium, Praseodymium; T = Copper, Silver, Gold andX = Aluminum, Gallium)” (in German), J. Less-Common Met., 166(1), 115-124 (1990)(Crys. Structure, Experimental, 19)
[1990Vrt] Vrtis, M.L., Jorgensen, J.D., Hinks, D.G., “The Structural Phase Transition in the RECu6Compounds (RE = La,Ce,Pr,Nd)” J. Solid State Chem., 84, 93-101 (1990) (Crys. Structure,Experimental, 26)
[1991Ell] Ellner, M., Kolatschek, K., Predel, B., “On the Partial Atomic Volume and the Partial MolarEnthalpy of Aluminium in Some Phases with Cu and Cu3Au Structures”, J. Less-Common
Met., 170, 171-184 (1991) (Experimental, Crys. Structure, 57)[1991Kim] Kim, S.M., Buyers, W.J.L., Lin, H., Bauer, E., “Structure of the Heavy Electron Compounds
Cerium-Copper-Aluminum Ce(CuxAl1-x)5 and Cerium-Copper-Gallium Ce(CuxGa1-x)5”,Z. Phys. B, 84(2), 201-203 (1991) (Crys. Structure, Experimental, 7)
[1991Rog] Rogl, P., ”Aluminium - Cerium - Copper”, MSIT Ternary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,Stuttgart; Document ID: 10.17383.1.20, (1991) (Crys. Structure, Equi. Diagram,Assessment, 18)
[1991Yun] Yunusov, I., Ganiev, I. N., Shishkin, E. A., “Aluminum-Copper-Cerium Phase Diagram inthe Aluminum-Rich Corner” (in Russian), Izv. Akad. Nauk SSSR, Met., (3), 200-203 (1991)(Assessment, Equi. Diagram, 4)
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[1992Bau] Bauer, E., “Anomalous Properties of Ce-Cu-Based Compounds”, J. Magn. Magn. Mater.,108(1-3), 27-30 (1992) (Electr. Prop., Experimental, 19)
[1993Sin] Singhal, R.K., Saini, N.L., Garg, K.B., Kanski, J., Ilver, L., Nilsson, P.O., Kumar, R., Gupta,L.C., “Study of some Cerium Intermetallics by Core-Level Photoemission”, J. Phys.:
Condens. Matter, 5, 4013-4020 (1993) (Experimental, Electr. Prop., 23)[1994Mur] Murray, J.L., “Al-Cu (Aluminum-Copper)”, in “Phase Diagrams of Binary Copper Alloys”,
Subramanian, P.R., Chakrabati, D.T., Laughlin D.E. (Eds.), ASM International, MaterialsPark, OH, 1994, 18-42, (Equi. Diagram, Review, 226)
[1994Sub] Subramanian, P.R., Laughlin, D.E., “Ce-Cu (Cerium-Copper)”, in “Phase Diagrams of
Binary Copper Alloys”, Subramanian, P.R., Chakrabarti, D.J., Laughlin, D.E. (Eds.), ASMInternational 10, 127-133 (1994) (Equi. Diagram, Review, 29)
[1995Hul] Hulliger, F., “On Rare Earth Gold Aluminides LnAuAl3 and Related Compounds”, J. Alloys
Compd., 218, 255-258 (1995) (Crys. Stucture, Magn. Prop., 14)[1996Aoy] Aoyama, S., Ido, H., Nishioka, T., Kontani, M., “NMR Studies on Heavy Fermion Materials
CeCuAl3 and CeCuGa3”, Czech. J. Phys., 46, 2069-2070 (1996) (Experimental, 4)[1996Goe] Goedecke, T., Sommer, F., “Solidification Behaviour of the Al2Cu Phase”, Z. Metallkd.,
87(7), 581-586 (1996) (Equi. Diagram, Crys. Structure, 8)[1996Kon] Kontani, M., Sugihara, N., Murase, K., Mori, N., “High Pressure NMR of Heavy Fermion
Antiferromagnets CeAl2 and CeCuAl3”, Czech. J. Phys., 46, 2067-2068 (1996)(Experimental, Phys. Prop., 4)
[1996Moz] Moze, O., Buschow, K.H.J., “Crystall Structure of CeCuAl3 and its Influence on MagneticProperties”, J. Alloys Compd., 245, 112-115 (1996) (Crys. Structure, Experimental, Magn.Prop., 9)
[1996Shc] Shcherba, I.D., Koterlyn, M.D., Kushnir, A.P., Kutjanskyj, R.R., Synjushko, V.G.,Tsybukh, Y.D., Yatsyk, B.M., Margolych, I.I., “Peculiarities of the Valence State of Ce andYb in RM4Al8 (R = Rare Earth; M = Cr, Mn, Fe, Cu)”, J. Magn. Magn. Mater., 157-158,688-689 (1996) (Magn. Prop., Experimental, 4)
[1998Jav] Javorsky, P., Havela, L., Sechovsky, V., Michor, H., Jurek, K., “Magnetic Behavior ofRCuAl Compounds”, J. Alloys Compd., 264, 38-42 (1998) (Crys. Structure, Experimental,15)
[1998Liu] Liu, X.J., Ohnuma, I., Kainuma R., Ishida, K., “Phase Equilibria in the Cu-rich Portion ofthe Cu-Al Binary System”, J. Alloys Compd., 264(1-2), 201-208 (1998) (Equi. Diagram,Crys. Structure, 25)
[1999Kon] Kontani, M., Motoyama, G., Nishioka T., Murase, K., “Magnetic Properties of CeCuxAl4-x
and CeCuxGa4-x Single Crystals”, Physica B, 261, 24-25 (1999) (Crys. Structure,Experimental, Magn. Prop., 7)
[1999Ooh] Oohara, Y., Kubota, M., Yoshizawa, H., Itoh, S., Nishioka, T., Kontani, M., “SpinFluctuations in Ce2Cu8Al9 and U2Cu8Al9”, J. Phys. Chem. Solids, 60(8-9), 1197-1198(1999) (Magn. Prop., Experimental, 4)
[2000Jav] Javorsky, P., Chernyavsky, A., Sechovsky, V., “Valence Fluctuator CeNiAl Versus Ce(3+)State in CeCuAl”, Physica B, 281-282, 71-72 (2000) (Crys. Structure, Experimental,Thermodyn., 6)
[2000Kon] Kontani, M., Hamada, M., Mizukoshi, T., Mukai, H., “NMR/NQR and Specific HeatStudies on the ThMn12-Type CeCu4+xAl8-x System”, Physica B, 284-288, 1267-1268(2000) (Crys. Structure, Experimental, Magn. Prop., Thermodyn., 6)
[2000Oka] Okamoto, H., Desk Handbook, in “Phase Diagrams for Binary Alloys”, ASM International,Materials Park, OH, 2000 (Experimental, Equi. Diagram)
[2001Che] Chevalier, B., Bobet, J.-L., “On the Synthesis and Physical Properties of the IntermetallicsCeCuAl”, Intermetallics, 9, 835-838 (2001) (Crys. Structure, Electr. Prop., Experimental,Phys. Prop., 9)
[2001Li] Li, W.H., Bian, X.F., Li, H.Y., Duan, Y.F., “Interaction Between Rare Earth Ce andHydrogen in Al-Cu Eutectic Alloy Melt”, Acta Metall. Sin., 37(8), 825-828 (2001)
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[2002Gul] Gulay, L.D., Harbrecht, B., “The Crystal Structures of the 1 and 2 Phases in the Al-CuSystem”, Abstr. VIII Int. Conf. “Crystal Chemistry of Intermetallic Compounds”,September 2002, Lviv, P139, 73 (2002) (Crys. Structure, Experimental, 5)
[2002Per] Perrot, P., Ferro, R., “Ce-Cu (Cerium-Copper)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,Stuttgart; Document ID: 20.16303.1.20, (2003) (Equi. Diagram, Assessment, 25)
[2003Gro] Groebner, J., “Al-Cu (Aluminium-Copper)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,Stuttgart, to be published, (2003) (Equi. Diagram, Assessment, 68)
Table 1: Crystallographic Data of Solid Phases
Phase/Temperature Range [°C]
Pearson Symbol/Space Group/Prototype
Lattice Parameters[pm]
Comments/References
(Cu)< 1084.62
Cu1-xAlx
cF4Fm3m
Cu
a = 361.46
a = 361.52a = 365.36
at 25°C [Mas2],0 to 19.7 at.% Al [Mas2]0 to 0.1 at.% Ce at 876°C [1994Sub][1991Ell], x = 0, quenched from 600°C[1991Ell], x = 0.152, quenched from 600°C
(Al)< 660.45
cF4Fm3m
Cu
a = 404.96 at 25°C [Mas2],0 to 2.48 at.% Cu [Mas2]
( Ce)798-726
cI2Im3m
W
a = 412 0 to 0.55 at.% Cu at 708°C [1994Sub]0 to 2.5 at.% Al at 720°C [2000Oka]
( Ce)726-61
cF4Fm3m
Cu
a = 510.10 0 to 0.37 at.% Cu at 708°C [1994Sub]
( Ce)61-(-177)
hP4P63/mmc
La
a = 308.10c = 1185.7
at 24°C [1994Sub]
( Ce)< -177
cF4Fm3m
Cu
a = 485 at –196°C [1994Sub]
, Cu3Al(h)1049-559
cI2Im3m
W
a = 295.64 70.6 to 82 at.% Cu [1985Mur][1998Liu]at 672°C in + (Cu) alloy
2, Cu1-xAlx< 363 TiAl3
Long period super-lattice
a = 366.8c = 368.0
0.22 x 0.235 [Mas2, 1985Mur]76.5 to 78.0 at.% Cuat 76.4 at.% Cu(subcell only)
0, Cu1-xAlxCu~2Al1037-800
cI52I43m
Cu5Zn8
0.31 x 0.402 [Mas2],0.32 x 0.38 [1998Liu]
1, Cu9Al4< 890
cP52P43m
Cu9Al4
a = 870.23a = 870.68
62 to 68 at.% Cu [Mas2, 1998Liu];powder and single crystal [V-C2]from single crystal [V-C]
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, Cu1-xAlx< 686
hR*R3m
a = 1226c = 1511
0.381 x 0.407 [Mas2, 1985Mur]59.3 to 61.9 at.% Cuat x = 0.389 [V-C]
1, Cu1-xAlx958-848
Cubic? - 0.379 x 0.40659.4 to 62.1 at.% Cu [Mas2, 1985Mur]
2, Cu2-xAl850-560
hP6P63/mmc
Ni2In
a = 414.6c = 506.3
0.47 x 0.78; 55.0 to 61.1 at.% Cu [Mas2, 1985Mur, V-C2]NiAs type in [Mas2, 1994Mur]
1, Cu47.8Al35.5(h)590-530
oF88 - 4.7Fmm2
Cu47.8Al35.5
a = 812b = 1419.85c = 999.28
55.2 to 57 at.% Cu [Mas2, 1994Mur]structure: [2002Gul]
2, Cu11.5Al9(r)< 570
oI24 - 3.5Imm2
Cu11.5Al9
a = 409.72b = 703.13c = 997.93
55.2 to 56.3 at.% Cu [Mas2, 1985Mur]structure: [2002Gul]
1, CuAl(h)624-560
o*32 a = 408.7b = 1200c = 863.5
49.8 to 52.4 at.% Cu [V-C2, Mas2, 1985Mur]Pearson symbol: [1931Pre]
2, CuAl(r)< 560
mC20C2/m
CuAl(r)
a = 1206.6b = 410.5c = 691.3
= 55.04°
49.8 to 52.3 at.% Cu[V-C2]
, CuAl2< 591
tI12I4/mcm
CuAl2 a = 606.7c = 487.7
32.05 to 32.6 at.% Cu at 549°C32.4 to 32.8 at.% Cu at 250°C [1996Goe]single crystal [V-C2, 1989Mee]
CeCu< 516
oP8Pnma
FeB
a = 737.0b = 462.3c = 564.8
[1994Sub]
CeCu2< 817
oI12Imma
CeCu2
a = 442.9b = 706.1c = 747.4
[1994Sub]
CeCu4-xAlxCeCu4< 796
oP20Pnnm
CeCu4
a = 458b = 810c = 935
0 x 2 [1985Bod]at x = 0 [1994Sub]
CeCu5-xAlx
CeCu5< 798
hP6P6/mmm
CaCu5
a = 525.1c = 417.3
a = 514.8c = 410.8
0 x 2.1 [1978Tak]at x = 2 [2001Che]
at x = 0 [Mas2, 1994Sub]
Phase/Temperature Range [°C]
Pearson Symbol/Space Group/Prototype
Lattice Parameters[pm]
Comments/References
188
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Cu
CeCu6938 - (-43)
oP28Pnma
CeCu6
a = 810.88b = 510.04c = 1016.21a = 810.09b = 509.78c = 1015.48
at 22°C [1990Vrt]
at -23°C [1990Vrt]
CeCu6< -43
mP28P21/c
LaCu6
a = 509.5b = 1014.66c = 809.31
= 90.485°a = 508.92b = 1013.26c = 807.89
= 91.148°a = 508.41b = 1012.79c = 807.31
= 91.442°
at -73°C [1990Vrt]
at -173°C [1990Vrt]
at -263°C [1990Vrt]
Ce3Al11<1020
oI28 Immm
La3Al11
a = 439.5b = 1302.c = 1009
[1988Gsc]
Ce3Al111235-1020
tI10I4/mmm
BaAl4
a = 437.7c = 1008
[1988Gsc]
CeAl3<1135
hP8P63/mmc
Ni3Sn
a = 654.7c = 461.0
[1988Gsc]
CeAl2<1480
cF24Fd3m
Cu2Mg
a = 806.1 [1988Gsc]. Dissolves Al2Cu.Al2Ce1-xCux (0 < x < 0.1) [1991Yun]
CeAl<845
oC16Cmc2 or Cmcm
CeAl
a = 926.9b = 768.0c = 576.1
[1988Gsc]
Ce3Al655-250
cP4Pm3m
AuCu3
a = 498.9 [1988Gsc]
Ce3Al< 250
hP8P63/mmc
Ni3Sn
a = 704.2c = 545.1
[1988Gsc]
* 1, CeCu4Al8< 925
tI26I4/mmm
ThMn12
a = 884c = 517a = 882.9c = 515.7a = 885c = 518
[1963Zar], [1964Che]
[1976Bus]
[1985Rau], [1961Gla2]
Phase/Temperature Range [°C]
Pearson Symbol/Space Group/Prototype
Lattice Parameters[pm]
Comments/References
189
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Cu
Table 2: Invariant Equilibria
* 2,Ce2CuxAl17-x hR57R3m
Th2Zn17
a = 898c = 1307a = 897c = 1306a = 896c = 1304
6.5 x 7.3 [1963Zar]at x = 6.5 [1963Zar]
at x = 7.0 [1985Rau]
at x = 7.3 [1963Zar, 1964Che]
* 3,CeCu6.5Al6.5 cF112Fm3c
NaZn13
a = 1182.2 0.04a = 1180a = 1187
[1985Cor1, 1985Cor2][1985Rau][1982Fel]
* 4,CeCuxAl4-x tI10I4/mmm
BaAl4
I4mm
BaNiSn3
a = 427c = 1075a = 425c = 1065
a = 425.693c = 1063.414
0.75 x 1 [1964Zar] at x = 0.75 [1964Zar]
at x = 1.0 [1964Zar]
at x = 0 neutron diffraction data [1996Moz]
* 5,CeCuAl hP9P63m
Fe2P
a = 717.6c = 419.8a = 717.9c = 420.1
[1968Dwi]
[1973Oes]
Reaction Type T [°C] Phase Composition (at.%)
Al Ce Cu
L + CeAl2 Ce3Al11 p1 1235 LCeAl2Ce3Al11
78.766.778.6
21.333.321.4
000
L CeAl2 + 4,CeCuxAl4-x e1 1220 LCeAl2
4
66.766.766.6
20.030.116.7
13.33.216.7
L + CeAl2 Ce3Al11 +
4,CeCuxAl4-x
U1 1150 LCeAl2Ce3Al11
4
77.066.721.466.6
18.033.378.616.7
5.00016.7
L 1,CeCu4Al8 +
4,CeCuxAl4-x
e2 850 L
1
4
62.161.566.6
8.77.716.7
29.230.816.7
L (Al) + Ce3Al11 e3 640 L(Al)Ce3Al11
96.010021.4
4.0078.6
000
Phase/Temperature Range [°C]
Pearson Symbol/Space Group/Prototype
Lattice Parameters[pm]
Comments/References
190
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Cu
L (Al) + 4,CeCuxAl4-x e4 595 L(Al)
4
96.098.466.6
2.00.816.7
2.00.816.7
L + 1,CuAl ,CuAl2 p2 591 L
1,CuAl2
67.850.267.2
000
32.249.832.8
L (Al) + 1,CeCu4Al8 e5 585 L(Al)
1
90.098.961.5
2.00.47.7
8.01.530.8
L + 1,CuAl ,CuAl2 +
1,CeCu4Al8
U2 584 L
1
1
73.050.267.261.5
1.5007.7
25.549.832.830.8
L (Al) + Ce3Al11 +
4,CeCuxAl4-x
E1 560 L(Al)Ce3Al11
4
95.010021.466.6
3.5078.616.7
1.50016.7
L (Al) + ,CuAl2 e6 548.2 L(Al)
,CuAl2
82.997.568.1
000
17.12.531.9
L (Al) + 1,CeCu4Al8 +
4,CeCuxAl4-x
E2 545 L(Al)
1
4
92.097.561.566.6
2.007.716.7
6.02.530.816.7
L (Al) + ,CuAl2 +
1,CeCu4Al8
E3 541 L(Al)
1
83.897.568.161.5
1.1007.7
15.12.531.930.8
Reaction Type T [°C] Phase Composition (at.%)
Al Ce Cu
191
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Cu
10
20
30
40
10 20 30 40
60
70
80
90
Ce 50.00Cu 0.00Al 50.00
Ce 0.00Cu 50.00Al 50.00
Al Data / Grid: at.%
Axes: at.%
e5
U2
e2
U1
e1
CeAl2
τ4,CeCuAl4
E2
E1
e3
e6
θ,CuAl2
η1,CuAl2
τ1,CeCu4Al8
θ,CuAl2
(Al)
Ce3A
l 11
τ4
τ1
e4
p2CeAl2
E3
p1
(Al)
Fig. 1: Al-Ce-Cu.
Liquidus projection and crystallisation domains of the Al-rich part
192
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Cu
Fig
. 2:
Al-
Ce-
Cu
.
Par
tial
rea
ctio
n s
chem
e
Al-
Ce
Al-
Cu
Al-
Ce-
Cu
L (
Al)
+ C
e 3A
l 11 +
τ4
560
E1
l +
CeA
l 2 C
e 3A
l 11
1235
p1
lC
eAl 2
+
τ 1
1220
e 1
L +
CeA
l 2 C
e 3A
l 11
+τ 1
1150
U1
l +
η1
θ591
p2
l (
Al)
+ C
e 3A
l 11
640
e 3
l (
Al)
+ θ
548.2
e 6
l (
Al)
+ τ4
595
e 4
l (
Al)
+ τ1
585
e 5
lτ 1
+ τ4
850
e 2l
θ +
τ1
?e ?
L +
η1
θ +
τ1
584
U2
L (
Al)
+ τ1 +
τ4
545
E2
L (
Al)
+ θ
+ τ1
541
E3
?
?
(Al)
+ τ1+
τ 4
(Al)
+ θ
+τ 1
(Al)
+C
e 3A
l 11+
τ 4
?
η 1+
θ+τ 1
CeA
l 2+
Ce 3
Al 11+
τ 1
193
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Cu
20
40
60
80
20 40 60 80
20
40
60
80
Ce Cu
Al Data / Grid: at.%
Axes: at.%
αCe3Al11
CeAl3
CeAl2
τ4CeAl
θ
η2
ξ2
δγ1
CeCu CeCu2 CeCu4CeCu5
βCe3Al
τ2
τ1
(Cu)(γCe)
(Al)
Ce 8.00Cu 0.00Al 92.00
Ce 0.00Cu 8.00Al 92.00
Al Data / Grid: at.%
Axes: at.%
(Al)
(Al)+αCe3Al11
(Al)+τ4
(Al)+τ1
(Al)+CuAl2
Fig. 3: Al-Ce-Cu.
Isothermal section at 400°C
Fig. 4: Al-Ce-Cu.
Isothermal section of the Al-rich region at 500°C
194
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Cu
10400
500
600
700
800
900
1000
1100
1200
1300
Al Ce 16.70Cu 16.70Al 66.60Ce, at.%
Tem
pera
ture
, °C
τ4
660°C
1230°C
595°Ce4
L
(Al)
142 6
400
500
600
700
800
900
1000
Al Ce 7.70Cu 30.80Al 61.50Ce, at.%
Tem
pera
ture
, °C
e5
925°C
660°C
585°C
τ1(Al)
L
62 4
Fig. 6: Al-Ce-Cu.
The Al - 4quasibinary section
Fig. 5: Al-Ce-Cu.
The Al - 1quasibinary section
195
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Cu
10700
800
900
1000
1100
1200
Ce 7.70Cu 30.80Al 61.50
Ce 16.70Cu 16.70Al 66.60Ce, at.%
Tem
pera
ture
, °C
e2
τ1τ4
1230°C
850°C
925°C
L
8 12 14 16
20 301100
1200
1300
1400
1500
Ce 16.70Cu 16.70Al 66.60
Ce 33.30Cu 0.00Al 66.70Ce, at.%
Tem
pera
ture
, °C
1220°C1230°C
e1
1480°C
τ4
L
CeAl2
Fig. 7: Al-Ce-Cu.
The 1 - 4quasibinary section
Fig. 8: Al-Ce-Cu.
The 4 - CeAl2quasibinary section
196
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Fe
Aluminium – Cerium – Iron
Bernd Grieb, updated by Alexander Pisch
Literature Data
The first investigation in this ternary system was made in 1925 by Meißner [1925Mei] to describe the
“clear-cross method” of Guertler in practical examples when Ce is added to Al-Fe alloys. [1969Zar]
examined the ternary system with 106 alloys from 0 to 33.3 at.% Ce using X-ray structural analysis.
[1988Sok] studied the phase behavior of 75 to 100 at.% Al at 550°C using X-ray structural analysis. An
isothermal section for the Al-rich corner at the same temperature is presented by [1992Rae] without
specifying sample preparation details and the purity of the starting materials. Their results are in good
agreement. Solid solutions of Al in binary Ce-Fe phases became of interest with a view to obtaining a
material with good permanent magnetic properties after the discovery of rare-earth metal (R)-transition
metal (TM) magnets. [1985Fra] published lattice parameters and magnetic properties of alloys along
CeFe2-CeAl2. [1998Kuc, 2000Kny] measured the structural, magnetic and optical properties of a
Ce2Fe15.3Al1.7. Samples were prepared by levitation melting in an induction furnace, annealed at 1000°C
for 8h and analyzed by X-ray diffraction and a vibrating sample magnetometer. No information of the purity
of the starting material is given. The structural and magnetic properties of RE2Fe17-xAlx phases have been
reviewed and compared by [2002Ram] A new ternary phase with the composition Ce6Fe11Al3 has been
discovered recently [1992Hu]. The sample has been prepared by melting the elements (Ce,Fe 3N purity, Al
5N) followed by an anneal for 120h at 600 - 800°C wrapped in Mo foil and sealed in quartz. The water
quenched samples have been investigated by XRD and Mössbauer spectroscopy to determine the magnetic
properties. The structure and magnetic properties of CeFe2Al8 have been studied by low temperature
neutron diffraction [2001Kol] and Mössbauer spectroscopy by [2000Tam, 2001Kol]. No magnetic ordering
of this compound has been detected. Ce enhances the mechanical properties of Fe-Al alloys. Because of the
very limited solid solubility of transition metals and rare-earth elements in Al rapid solidification processing
of Al alloys with Fe and Ce is necessary to avoid intermetallic compounds. [1986Ang, 1986Fie, 1986Jha,
1987Yan, 1988Aye, 1988Sok, 1998Fas, 2000Cha, 2002Zha] produced and investigated rapidly solidified
Al-Ce-Fe alloys and found besides binary Fe-Al phases, stable and metastable ternary phases. Enthalpies of
formation of three-component liquid alloys were published by [1984Esi].
This evaluation proceeds that of [1991Gri] and integrates the substantial amount of data published
since then.
Binary Systems
The Al-Fe binary system has been taken from[2003Pis]. [1996Sac] revised the Al-Ce system and their
diagram is accepted. The Al-rich compound in the Al-Ce system, previously reported as CeAl4, is now
known to have the Ce3Al11 stoichiometry. The composition CeAl4 taken by [1969Zar] is corrected to
Ce3Al11 in the ternary evaluation and in Fig. 1. Ce-Fe is accepted from [Mas].
Solid Phases
The ternary phase CeFe4Al8 ( 1) has been studied in detail [1961Gla, 1962Zar, 1969Zar, 1974Viv,
1976Bus]. [1969Zar] found additionally the ternary phases CeFe2Al10 ( 2), CeFe2Al7, CeFe1-1.4Al1-0.6 and
a solid solution of Al in the binary Ce2Fe17 compound with a maximum Al-content of about 60 at.% and
having a Th2Ni17 type structure. CeFe2Al10 ( 2) is iso-structural to YbFe2Al10 [1998Thi]. The lattice
parameters of the 3 Ce6Fe11Al3 ternary compound has been determined by [1992Hu]. This compound has
a La6Fe11Ga3 type structure. The structures of CeFe2Al7, and CeFe1-1.4Al1-0.6 were not determined. The
ternary phase CeFe2Al7 is possibly identical to 1 CeFe2Al8, observed and investigated by [1974Yar].
According to [1971Oes], the compounds of the composition RFeAl with light rare-earths show a two phase
region of cF24 (MgCu2) type together with an unidentified second phase, as opposed to all alloys RFeAl
197
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Fe
with heavy rare-earths which form a single phase of the hexagonal hP12 (MgZn2) structure type. The
formation of successive types of the Laves phase family in the pseudobinary system RFe2-RAl2 seems to
be connected with Fermi surface-Brillouin zone interactions. It is not completely understood, however, why
this does not hold for light and heavy rare-earth elements together, but it is likely that the larger size and
higher valencies of the former may contribute to their exceptional behavior. [1985Fra] suggests that the
solubility limit for the formation of the pure MgCu2 type structure for Ce(Fe1-xAlx)2 may be placed near
x = 0.125. [1986Ang] found five dispersed phases in the as-extruded Al-8.8Fe-3.7Ce and Al-8.9Fe-6.9Ce
alloys; metastable FeAl6, two metastable Al-Ce-Fe phases and the equilibrium phases Fe4Al13 and
CeFe2Al10. The unit cell of one of the metastable ternary phases was observed as orthorhombic. [1987Yan]
produced a metastable icosahedral phase in rapidly cooled Al-8.8Fe-3.3Ce. In addition [1988Aye] found
two compounds 2 CeFe2Al10 and CeFe5Al20 in the as-extruded conditions. CeFe5Al20 is described as
decagonal quasicrystal. The known structure types and crystal parameters of all described solid phases are
listed in Table 1. The ternary phase CeFe2Al8 listed by [V-C] with the source [1980Zar] is not described in
the latter paper. [1980Zar] investigated the phase CeCo2Al with structure type CeFe2Al8. The lattice
parameters in [V-C] are those of CeCo2Al8.
Invariant Equilibria
The formation of 2 follows the peritectic reaction Ce3Al11+L 2. The formation temperature is 940°C
[1988Sok].
Isothermal Sections
The investigation of [1925Mei] is rather sketchy and incorrect in the region up to 33.3 at.% Ce. The results
of [1969Zar] confirmed several ternary compounds and solid solution of Al in Ce2Fe17. Figure 1 shows the
phase equilibria of the ternary system at 500°C with a maximum Ce content of 33.3 at.%. CeFe2 is printed
by [1969Zar] as phase with no Al solubility. This is corrected in the figure after the results of [1985Fra].
The phase, CeFe1-1.4Al1-0.6, detected by [1969Zar] is plotted, but it is necessary to point out the conflict
with the results of [1971Oes] as described above. The phase CeFe2Al7 of [1969Zar] is printed with the
composition 1 CeFe2Al8 as in [1974Yar]. At 550°C for Al concentration of 75 to 100 at.% [1988Sok]
found the two-phase regions Al+ 2’, Al+FeAl3, Al+Ce3Al11 and the tree phase regions Al+ 2+FeAl3 and
Al+ 2+Ce3Al11. The ternary compound is not observed in quenched material. The isothermal section in the
Al-rich corner at 550°C as presented by [1992Rae] is identical to Fig. 1.
Temperature – Composition Sections
[1988Sok] published two isopleths. One describes the section between Ce3Al11 and Fe4Al13, the second
between Al and CeFe2Al (Fig. 2). The isopleth is taken only partially because the shape of the lines with
less than 97.8 at.% Al is estimated. The results are based on thermal analysis. The isopleth between Ce3Al11
and Fe4Al13 is not accepted because of inconsistency with the accepted binary Al-Ce.
Notes on Materials Properties and Applications
Magnetic properties of 2 CeFe4Al8 samples have been determined and analyzed by [1998Sch, 2000Hag,
2000Sik, 2001Gac] using neutron diffraction, specific heat and Mössbauer measurements. The magnetic
properties of a series of Ce2Fe17-xAlx solid solutions with x equal to 0.0, 0.88, 2.06, 2.80, 3.98, 5.15, 6.08,
7.21, 8.20, 9.08, 9.84, and 10.62 have been studied by magnetic measurements, neutron diffraction, and
Mössbauer spectroscopy by [1996Mis] and with 8 x 13 by susceptibility, magnetization and heat
capacity measurements by [2000Kon]. The Curie temperature increases from 238 K in Ce2Fe17 to a
maximum of 284 K in Ce2Fe14Al3. The Ce2Fe17-xAlx solid solutions behave as spin glasses for x greater
than 7 [1996Mis]. The magnetic moment of Ce2Fe15.3Al1.7 has been measured as Ms = 25.68 B
[2001Kny]. The origin for the magnetism of 2 CeFe2Al10 is the mixed Ce3+/Ce4+ valence [1998Thi].
Ce(Fe,Al)2 with an aluminium content of 6 at.% has a Curie temperature of 160K and a Néel temperature
of 136K [1997Fer]. The hydrogen storing capabilities of Ce(Fe,Al)2 have been investigated by [1997Spa],
198
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Fe
their magnetic properties by [1997Fer]. [2000Cha] investigated Ce(Fe1-xAlx)2 samples with X-ray
absorption spectroscopy (XAS) and confirmed the mixed valence of Ce upon Fe substitution to be the origin
of the anomalous magnetic behavior in this alloy.
References
[1925Mei] Meissner, K.L. “Some Examples of the Practical Use of the Clear-Cross Method” (in
German), Metall und Erz., 22, 243-247 (1925) (Experimental, Equi. Diagram, 9)
[1958Tay] Taylor, A., Jones, R.M., “Constitution and Magnetic Properties of Iron-Rich
Iron-Aluminium Alloys”, J. Phys. Chem. Solids, 6, 16-37 (1958) (Crys. Structure,
Experimental)
[1961Lih] Lihl, F., Ebel, H., “X-Ray Examination fo the Constitution of Iron-Rich Alloys of the
Iron-Aluminium System” (in German), Arch. Eisenhuettenwesen, 32, 483-487, (1961)
(Crys. Structure, Experimental)
[1961Gla] Gladyshevsky, E.I., Zarechnyuk, O.S., Teslyuk, M.Yu., Zarechnyuk, O.S., Kuz’ma, Yu.B.,
“Crystal Structures of some Intermetallic Compounds” (in Russian), Kristallografiya, 6,
267-268 (1961) (Experimental, Crys. Structure, 11)
[1962Zar] Zarechnyuk, O.S., Zarechnyuk, O.S., “The Crystal Structure of Ternary Compounds in the
System Ce-Transition Metal-Al” (in Russian), Kristallografiya, 7, 543-554 (1962)
(Experimental, Crys. Structure, 9)
[1969Zar] Zarechnyuk, O.S., Mys’kiv, M.G., Ryabov, V.R., “X-Ray Diffraction Study of the Phase
Composition of Ce-Fe-Al Alloys Containing up to 33.3 at.% Ce”, translated from Izv. Akad.
Nauk SSSR, Met., 2, 164-166 (1969) (Experimental, Crys. Structure, Equi. Diagram, #, *, 9)
[1971Oes] Oesterreicher, H., “Structural Studies of Rare-Earth Compounds RFeAl”, J. Less-Common
Met., 25, 341-342 (1971) (Experimental, Crys. Structure, 6)
[1974Viv] Vivchar, O.I., Zarechnyuk, O.S., “Compounds with the ThMn12 type Structure in R-Fe-Al
Systems” (in Russian), Tezisy Dokl. Vses. Konf. Kristallokhim., Rykhal, R.M., (Ed.),
“Intermetalicheskie Soedineniya”, 2nd, 41, (1974) (Experimental, Crys. Structure, 0)
[1974Yar] Yarmolyul, Ya.P., Rykhal, R.M., Zarechnyuk, O.S., “Crystal Structure of CeFe2Al8 and
LaCoAl4" (in Russian), Tezisy Dokl. Vses. Konf. Kristallokhim., Rykhal, R.M., (Ed.),
“Intermetalicheskie Soedineniya”, 2nd, 39-40 (1974) (Experimental, Crys. Structure, 0)
[1976Bus] Buschow, K.H.J., van Vucht, J.H.N., van den Hoogenhof,W.W., “Note on the Crystal
Structure of the Ternary Rare-Earth-3d Transition Metal Compounds of the Type RT4Al8”,
J. Less-Common Met., 50, 145-150 (1976) (Experimental, Crys. Structure, 2)
[1980Zar] Zarechnyuk, O.S., Rykhal, R.M., Korin, V.V., “X-Ray Study of the
Cerium-Cobalt-Aluminium Ternary System Alloys in the Range of 0 to 33.3 at.% of
Cerium” (in Russian), Dop. Akad. Nauk Ukrain. RSR, Ser. A. Fiz.-Mat. Tekh. Nauki, 42,
84-85 (1980) (Experimental, Crys. Structure, 8)
[1984Esi] Esin, Yu.O., Pletneva, E.D., Ermakov, E.D., Valishov, M.G., “Enthalpy of Formation of
Three-Component Liquid Alloys Fe-Ce-Si and Fe-Ce-Al” (in Russian), Izv. VUZ Chern.
Metall., 12, 1-4 (1984) (Experimental, Thermodyn., 15)
[1985Fra] Franceschini, D.F., da Cunha, S.F., “Magnetic Properties of Ce(Fe1-xAlx)2 for x 0.20”, J.
Magn. Magn. Mater., 51, 280-290 (1985) (Experimental, Crys. Structure, Magn. Prop., 13)
[1986Ang] Angers, L., “Particle Coarsening in Rapidly Solidified Al-Fe-Ce Alloys”, Diss. Abstr. Int.,
46, 288 (1986) (Experimental, Crys. Structure, 0)
[1986Fie] Field, R.D., Zindel, J.W., Fraser, H.L., “The Intercellular Phase in Rapidly Solidified Alloys
Based on the Al-Fe System”, Scr. Metall., 20, 415-418 (1986) (Experimental, Crys.
Structure, 8)
[1986Gri] Griger, A., Syefaniay, V., Turmezey T., “Crystallographic Data and Chemical
Compositions of Aluminum-Rich Al-Fe Intermetallic Phases”, Z. Metallkd., 77, 30-35
(1986) (Equi. Diagram, Crys. Structure, Experimental)
199
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Fe
[1986Jha] Jha, S.C., Sanders, Jr., T.H., “Microstructure of Melt-Spun Al-Fe and Al-Fe-Ce Alloys”,
The Metallurgical Society/AIME, Warrendale, Pennsylvania 15086, USA, 243-254
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Alloy”, J. Phys. F: Met. Phys., 17, L97-L99 (1987) (Experimental, Crys. Structure, 13)
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Assessment, 17)
[1992Hu] Hu, B.P., Coey, J.M.D., Klesnar, H., Rogl, P., “Crystal Structure, Magnetism and 57Fe
Moesbauer Spectra of Ternary RE6Fe11Al3 and RE6Fe13Ge Compounds”, J. Magn. Magn.
Mater., 117, 25-231 (1992) (Crys. Structure, Experimental, Magn. Prop., Moessbauer, 14)
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by Aluminum with Iron, Palladium and Cerium”, Russ. Metall.(Engl. Transl.), 6, 161-165
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[1993Kat] Kattner, U.R., Burton, B.P., “Aluminum-Iron” in Phase Diagrams of Binary Iron Alloys,
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Phase with the Approximate Composition Fe2Al5”, Acta Crystallogr., Sect. B: Struct.
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Relationship to Quasihomological Homotypical Structures”, Z. Kristallogr., 209, 479-487
(1994) (Crys. Structure, Experimental, 39)
[1996Mis] Mishra, S.R., Long, G.J., Pringle, O.A., Hu, Z., Yelon, W.B., Middleton, D.P., Buschow,
K.H.J., Grandjean, F., “A Magnetic Neutron Diffraction, and Mossbauer Spectral Study of
the Ce2Fe17-xAlx Solid Solutions”, J. Appl. Phys., 79(8), 5945 (1996) (Abstract, Crys.
Structure, Experimental, 0)
[1996Sac] Saccone, A., Cardinale, A.M., Delfino, S., Ferro, R., “Phase Equilibria in the Rare Eearth
Metals (R)-Rich Regions of the R-Al Systems (R=La, Ce, Pr, Nd)”, Z. Metallkd., 87(2),
82-87 (1996) (Equi. Diagram, Cryst. Structure, Experimental, 18)
[1997Fer] Fernandez, G.E., Gomez-Berisso, M., Trovarelli, O., Sereni, J.G., “Comparative Study of
the Ferro-Antiferromagnetic Transition in Ce(Fe, Co) and Ce(Fe, Al)2”, J. Alloys Compd.,
261, 26-31 (1997) (Experimental, Magn. Prop., Thermal Conduct., Thermodyn., 41)
[1997Kog] Kogachi, M., Haraguchi, T., “Quenched-in Vacansies in B2-Structured Intermetallic
Compound FeAl”, Mater. Sci. Eng. A, A230, 124-131 (1997) (Crys. Structure,
Experimental, 23)
[1997Spa] Spatz, P., Gross, K.J., Zuettel, A., Schlapbach, L., “Hydriding Properties of Ce(Mn,Al)2 and
Ce(Fe,Al)2 Intermetallic Compounds”, J. Alloys Compd., 260, 211-216 (1997) (Crys.
Structure, Experimental, 10)
[1998Ali] Aliravci, C.A., Pekgueleryuez, M.O., “Calculation of Phase Diagrams for the Metastable
Al-Fe Phases Forming in Direct-Chill (DC)-Cast Aluminium Alloy Ingots”, Calphad, 22,
147-155 (1998) (Calculation, Equi. Diagram, 20)
200
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Ce–Fe
[1998Kuc] Kuchin, A.G., Ermolenko, A.S., Khrabrov, V.I., “Magnetic State of Pseudobinary Alloys
Lu2Fe15.3M1.7 and Ce2Fe15.3M1.7 (M = Si and Al)”, Phys. Met. Metallogr. (Engl. Transl.),
86(3), 276-280 (1998) (Crys. Structure, Experimental, 0)
[1998Thi] Thiede, V.M.T., Ebel, T., Jeitschko, W., “Ternary Aluminides LnT2Al10(Ln =Y, La-Nd,
Sm, Cd-Lu and T=Fe,Ru,Os) with YbFe2Al10 Type Structure and Magnetic Properties of
the Iron-Containing Series”, J. Mater. Chem., 8(1), 125-130 (1998) (Crys. Structure,
Experimental, Magn. Prop., 31)
[1998Sch] Schobinger-Papamantellos, P., Buschow, K.H.J., Ritter, C., “Magnetic Ordering and Phase
Transitions of RFe4Al8 (R = La, Ce, Y, Lu) Compounds by Neutron Diffractioin”, J. Magn.
Magn. Mater., 186, 21-32 (1998) (Crys. Structure, Experimental, Magn. Prop., 13)
[1998Fas] Fass, M., Eliezer, D., Aghion, E., Froes, F.H., “Hardening and Phase Stability in Rapidly
Solidified Al-Fe-Ce Alloys”, J. Mater. Sci., 33(3), 833-837 (1998) (Equi. Diagram,
Experimental, Mechan. Prop., 22)
[1999Dub] Dubrovinskaia, N.A., Dubrovinsky, L.S., Karlsson, A., Saxena, S.K., Sundman, B.,
“Experimental Study of Thermal Expansion and Phase Transformations in Iron-Rich Fe-Al
Alloys”, Calphad, 23(1), 69-84 (1999) (Equi. Diagram, Experimental, 14)
[2000Kon] Konishi, K., Kamimori, T., Tange, H., Deguchi, H., Kawae, T., Takeda, K., “Magnetic
Properties of Heavy Fermion Compounds Ce2Fe17-xAlx”, Physica B, 284-288, 1275-1276
(2000) (Experimental, Magn. Prop., 6)
[2000Kny] Knyazev, Yu.V., Kuchin, A.G., Kuz'min, Yu.I., “Optical Properties of Intermetallic
Compounds Ce2Fe17 and Ce2Fe15.3M1.7 (M = Al, Si)”, Phys. Met. Metallogr., 89(6),
558-562 (2000) (Crys. Structure, Experimental, Magn. Prop., Optical Prop., 16)
[2000Tam] Tamura, I., Mizushima, T., Isikawa, Y., Sakurai, J., “Moessbauer Effect and Magnetization
Studies of CeFe2Al8 and LaFe2Al8”, J. Magn. Magn. Mater., 220, 31-38 (2000) (Crys.
Structure, Experimental, Moessbauer, 4)
[2000Sik] Sikora, W., Schobinger-Papamantellos, P., Buschow, K.H.J., “Symmetry Analysis of the
Magnetic Ordering in RFe4Al8 (R=La, Ce, Y, Lu and Tb) Compounds (II)”, J. Magn. Magn.
Mater., 213, 143-156 (2000) (Calculation, Crys. Structure, Magn. Prop., 8)
[2000Cha] Chaboy, J., Piquer, C., Garcia, L.M., Bartolome, F., Wada, Maruyama, H., Kawamura, N.,
“X-Ray Absorption Spectroscopy Study of the Instability of Ferromagnetism in CeFe2:
Effects of Co and Al Substitutions”, J. Appl. Phys., 87(9), 6809-6811 (2000) (Magn. Prop.,
11)
[2000Hag] Hagmusa, I.H., Brueck, E., de Boer, F.R., Buschow, K.H.J., “A Specific-Heat Study of
some RFe4Al8 Compounds (R = Ce, Pr, Nd, Dy, Ho, Tm)”, J. Alloys Compd., 298, 77-81
(2000) (Crys. Structure, Experimental, Thermodyn., 16)
[2001Gac] Gaczynski, P., Vagizov, F.G., Suski, W., Kotur, B., Iwasieczko, W., Drulis, H., “Magnetic
and Hyperfine Interaction in RFe4Al8 (R = Ce, Sc) Compounds”, J. Magn. Magn. Mater.,
225, 351-358 (2001) (Crys. Structure, Experimental, Magn. Prop., Moessbauer, 15)
[2001Ike] Ikeda, O., Ohnuma, I., Kainuma, R., Ishida, K., “Phase Equilibria and Stability of Ordered
BCC Phases in the Fe-Rich Portion of the Fe-Al System”, Intermetallics, 9, 755-761 (2001)
(Equi. Diagram, Experimental, Mechan. Prop., 18)
[2001Kny] Knyazev, Yu.V., Kuchin, A.G., Kuz'min, Yu.I., “Optical Conductivity and Magnetic
Parameters of the Intermetallic Compounds R2Fe17-xMx (R = Y, Ce, Lu; M = Al, Si)”,
J. Alloys Compd., 327, 34-38 (2001) (Crys. Structure, Experimental, Magn. Prop., Optical
Prop., 23)
[2001Kol] Kolenda, M., Koterlin, M.D., Hofmann, M., Penc, B., Szytula, A., Zygmunt, A., Zukrowski,
J., “Low Temperature Neutron Diffraction Study of the CeFe2Al8 Compound”, J. Alloys
Compd., 327, 21-26 (2001) (Crys. Structure, Experimental, Magn. Prop., 10)
[2002Ram] Rama Rao, K.V.S., Ehrenberg, H., Markandeyulu, G., Varadaraju, U.V., Venkatesan, M.,
Suresh, K.G., Murthy, V.S., Schidt, P.C., Fuess, H., “On the Structural and Magnetic
Properties of R2Fe(17-x)(A,T)x (R = Rare Earth; A = Al, Si, Ga; T = Transition Metal)
201
Landolt-BörnsteinNew Series IV/11A1
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Al–Ce–Fe
Compounds”, Phys. Status Solidi A, 189(2), 373-388 (2002) (Crys. Structure, Magn. Prop.,
Review, 51)
[2002Zha] Zhang, C., Wu, Y., Cai, X., Zhao, F., Zheng, S., Zhou, G., Wu, S., “Icosahedral Phase in
Rapidly Solidified Al-Fe-Ce Alloy”, Mater. Sci. Eng. A, A323, 226-231 (2002) (Equi.
Diagram, Experimental, 23)
[2003Pis] Pisch, A., “Al-Fe (Aluminum-Iron)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; to be published, (2003) (Equi. Diagram, Crys. Structure, Assessment, 58)
Table 1: Crystallographic Data of Solid Phases
Phase /
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
( Al) hP2
P63/mmc
Mg
a = 269.3
c = 439.8
at 25°C, 20.5 GPa [Mas2]
( Al)
< 660.452
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
( Fe) hP2
P63/mmc
Mg
a = 246.8
c = 396.0
at 25°C, 13 GPa [Mas2]
( Fe)
1538-1394
cI2
Im3m
W
a = 293.15 [Mas2]
( Fe)
< 1394-912
cF4
Fm3m
Cu
a = 364.67 at 915°C [V-C2, Mas2] dissolves up to
1.2 at.% Al
( Fe)
< 912
cI2
Im3m
W
a = 286.65
a = 286.64 to 289.59
a = 286.60 to 289.99
a = 286.60 to 290.12
at 25°C [Mas2] dissolves up to 45.0 at.%
Al at 1310°C
0 - 18.8 at.% Al, HT [1958Tay]
0 - 19.0 at.% Al, HT [1961Lih]
0 - 18.7 at.% Al, 25°C [1999Dub]
( ’Ce) oC4
Cmcm
U
a = 304.9
b = 599.8
c = 521.5
at 25°C, 5.4 GPa [Mas2]
( Ce)
798-726
cI2
Im3m
W
a = 412 [Mas2]
( Ce)
726-61
cF4
Fm3m
Cu
a = 516.10 [Mas2]
( Ce)
61-(-177)
hP4
P63/mmc
La
a = 368.10
c = 1185.7
at 25°C [Mas2]
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Al–Ce–Fe
( Ce)
< -177
cF4
Fm3m
Cu
a = 485 [Mas2]
Fe4Al13
< 1160
mC102
C2/m
Fe4Al13
a = 1552.7 to 1548.7
b = 803.5 to 808.4
c = 1244.9 to 1248.8
= 107.7 to 107.99°
a = 1549.2
b = 807.8
c = 1247.1
= 107.69°
74.16 - 76.70 at.% Al, [1986Gri]
sometimes called FeAl3 in the literature
at 76.0 at.% Al, [1994Gri]
Fe2Al5< 1169
oC24
Cmcm
-
a = 765.59
b = 641.54
c = 421.84
at 71.5 at.% Al, [1994Bur]
FeAl2< 1156
aP18
P1
FeAl2
a = 487.8
b = 646.1
c = 880.0
= 91.75°
= 73.27°
= 96.89°
at 66.9 at.% Al, [1993Kat]
1232-1102
cI16?
-
a = 598.0 at 61 at.% Al, [1993Kat]
FeAl
< 1310
cP2
Pm3m
CsCl
a = 289.48 to 290.5
a = 289.53 to 290.9
a = 289.81 to 291.01
a = 289.76 to 190.78
34.5 - 47.5 at.% Al, [1961Lih]
36.2 - 50.0 at.% Al, [1958Tay]
39.7 - 50.9 at.% Al, [1997Kog] 500°C
quenched in water
room temperature
Fe3Al
< 547
cF16
Fm3m
BiF3
a = 579.30 to 578.86
a = 579.30 to 578.92
~24-~37 at.% Al, [2001Ike]
23.1-35.0 at.% Al, [1958Tay]
24.7 - 31.7 at.% Al, [1961Lih]
Fe2Al9 mP22
P21/c
Co2Al9
a = 869
b = 635
c = 632
= 93.4°
metastable
81.8 at.% Al [1993Kat]
FeAl6 oC28
Cmc21
FeAl6
a = 744.0
b = 646.3
c = 877.0
a = 744
b = 649
c = 879
metastable
85.7 at.% Al [1993Kat]
[1998Ali]
FeAl4+x t** a = 884
c = 2160
(0 < x < 0.4) metastable
[1998Ali]
Phase /
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
203
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Al–Ce–Fe
Ce2(Fe1-xAlx)17
Ce2Fe17
hR57
R3m
Th2Zn17 a = 851.2
c = 1245
a = 855.5
c = 1249.5
a = 899.8
c = 1297
0 x 0.67
x = 0 [1969Zar]
x = 0.1 [1998Kuc]
x = 0.67 [1969Zar]
Ce(Fe1-xAlx)2
CeFee
cF24
Fd3m
MgCu2
a = 734 ± 2
a = 730.4
0 x 0.125
[1985Fra] x = 0.125
[V-C]
Ce3Al11
< 1020
oI28
Immm
Al11La3
a = 439.5
b = 1302.
c = 1009
[1988Gsc]
Ce3Al11
1235-1020
tI10
I4/mmm
Al4Ba
a = 437.7
c = 1008
[1988Gsc]
CeAl3< 1135
hP8
P63/mmc
Ni3Sn
a = 654.7
c = 461.0
[1988Gsc]
CeAl2< 1480
cF24
Fm3m
MgCu2
a = 806.1 [1988Gsc]
CeAl
< 845
oC16
Cmc2 or Cmcm
CeAl
a = 926.9
b = 768.0
c = 576.1
[1988Gsc]
Ce3Al CP4
Pm3m
AuCu3
a = 498.9 [1988Gsc]
Ce3Al hP8
P63/mmc
Ni3Sn
a = 704.2
c = 545.1
[1988Gsc]
* 1, CeFe4Al8 tI26
I4/mmm
ThMn12
a = 886
c = 508
a = 880.5
c = 504.8
[1961Gla]
[1976Bus]
* 2, CeFe2Al10 oC52
Cmcm
YbFe2Al10
a = 900.02
b = 1022.2
c = 907.3
[1998Thi]
* 3, Ce6Fe11Al3 a = 819.03
c = 2310.08
[1992Hu]
* 4, CeFe2Al8 oP44
CeFe2Al8
a = 1251
b = 1448
c = 407
[1974Yar]
Phase /
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
204
Landolt-BörnsteinNew Series IV/11A1
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Al–Ce–Fe
* 5, CeFe2Al7 ? ? [1969Zar]
perhaps CeFe2Al8
* 6, CeFe1-1.4Al1-0.6 ? ? [1969Zar],
not found and refused by [1976Bus]
* 7, CeFeAl orthorh. a = 1020
b = 1620
c = 420
metastable [1986Ang],
sample containing 7 to 9 mass% Fe and
3 to 7 mass% Ce
* 8, Ce7.4Fe27.4Al65.2 ? ? metastable [1987Yan]
* 9, CeFe5Al20 ? ? metastable [1988Aye]
decagonal quasicrystal
Phase /
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
20
40
60
80
20 40 60 80
20
40
60
80
Ce Fe
Al Data / Grid: at.%
Axes: at.%
τ6
CeFe2Ce2Fe17
FeAl2
Fe2Al5
FeAl3
τ1
τ5
τ2
Ce3Al11
CeAl3
CeAl2
FeAl
Fe3Al
(αFe)
(Al)Fig. 1: Al-Ce-Fe.
Isothermal section at
500°C, after
[1969Zar] (revised)
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Al–Ce–Fe
600
700
800
900
1000
1100
1200
Ce 0.80Fe 1.40Al 97.80
AlAl, at.%
Tem
pera
ture
, °C
L
CeAl2+L
L2+βCe3Al11
αCe3Al11+L
L+τ2
(Al)+τ2
αCe3Al11+L+τ2
CeAl2+βCe3Al11+L
Fig. 2: Al-Ce-Fe.
Isopleth along
CeFe2Al10 - Al
(partially), after
[1988Sok]
206
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Fe
Aluminium – Cobalt – Iron
Andy Watson
Literature Data
Phase relationships in the Al-Co-Fe system are relatively well known in the composition range up to
approximately 35 mass% Al. Both the Al-Fe system and the Al-Co systems contain ordered bcc structures
of the CsCl-type (cP2) and form extensive solid solution ranges between them. At intermediate
temperatures, the ( Fe) phase (cI2) in the Co-Fe system characterizes the ternary system. The major
contribution to the understanding of the liquidus and solidus relationships in the ternary system up to 35
mass% Al is due to [1933Koe], who examined alloys by thermal, metallographic and magnetic methods.
Equilibria in the Al rich region have been established by [1948Ray, 1982Ray] using X-ray investigations
of alloys that had undergone long annealing treatments. Thermal analysis was used to determine phase
boundaries in vertical sections at high Al-contents. [1941Edw] used X-ray measurements to define single
and 2-phase fields in Co-rich regions of the phase diagram. Alloys were prepared from pure material by
induction melting, homogenizing at 1300°C, annealing at 800°C for 1 day and quenching. Phase separation
of ordering alloys in the Fe rich range has been determined by electron microscopy and magnetization
measurements, [1949Iva] and [1987Miy]. More recently, a series of articles presenting the results of TEM
studies and calculated phase equilibria based on the Bragg-Williams-Gorsky approximation to model phase
separation have been published [1994Koz1, 1994Koz2]. Despite the similar alloy preparation and
experimental techniques employed, some disagreement was found with the previous work of [1987Miy] in
relation to the location of the phase boundaries of the two-phase regions associated with the phase
separation. A critical review of the then available data made by [1991Kub] provides the bases of the present
evaluation. 1999Koz] used the information from [1994Koz1] together with new studies in the remaining
regions of the section to produce a complete isothermal section for 650°C. Some solubility for the third
element was reported in FeAl2, Fe2Al5, FeAl3, Co2Al9, Co2Al5 and Co4Al13. Furthermore, DTA
investigations revealed how the A2+B2 phase field varied with temperature.
Binary Systems
The Al-Co and Al-Fe systems are taken from the MSIT Binary Evaluation Program [2003Gru, 2003Pis].
The Co-Fe diagram is taken from [2002Ohn].
Solid Phases
The Fe-rich region of the ternary system exhibits two different types of phase separation at temperatures
below 700°C. The disordered A2 phase ( ) separates into a two phase region comprising the A2 and the
ordered B2 ( ') phase of the Al-Fe and Co-Fe systems. Also, a region of '1+ '2 exists adjacent to the + '
two phase field. All known phases of the Al-Co-Fe system and those in equilibrium with (Al) are listed in
Table 1. No ternary phases have been found.
Invariant Equilibria
A ternary eutectic exists at 653.9°C as determined by [1948Ray] using thermal analysis. The composition
was estimated to be 1.55Fe-0.35Co-98.1Al (mass%) by interpolation of cooling curve data. A partial
reaction scheme for the Al corner is shown in Fig. 1.
Liquidus Surface
Figure 2 shows liquidus contours at Al contents greater than 40 at.% based on the results of [1933Koe] and
[1982Ray]. The 1400°C liquidus contour has been amended so that it converges with the Al-Co binary L
( Co) + CoAl eutectic point, in contrast to the original publication where two contours converge at the ends
207
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Fe
of the two solidus lines in the Al-Co binary. Also shown are projections of the liquidus and solidus lines
(the latter denoted a1a2 and b1b2). The monovariant reaction line extends from the peritectic point p1 in the
Co-Fe system to the eutectic point e1 in the Al-Co system and passes through a minimum; the composition
is approximately 70Co-7.5Al (mass%), but the temperature is uncertain. The ordered AlCo phase forms a
continuous solid solution with ( Fe) at appropriate temperatures. The maximum melting point of CoAl
(1645°C) persists in the ternary system as Fe replaces Co. The remainder of the liquidus surface of the
ternary system is unknown except for the surfaces in the extreme Al rich corner that were established by
[1948Ray] and depicted in Fig. 3.
Isothermal Sections
Figure 4 shows part of the isothermal section at 800°C as presented by [1941Edw], and Fig. 5 shows the
location of the phase boundary separating the A2 ( ) and B2 ( ') phase fields at 700°C, taken from
[1987Miy]. Figure 6 shows the complete isothermal section determined at 650°C taken from [1994Koz2,
1999Koz]. The iron rich part of the diagram showing equilibria between and ´ phases is in excellent
agreement with the diagram calculated at the same temperature [1999Koz, 2001Miy] by computer
simulation of the phase decomposition process using the Bragg-Williams-Gorsky approximation. Some
minor changes have been made to the points where the phase boundaries meet the binary edges to make the
section consistent with the accepted binary phase diagrams. Figures 7 and 8 are partial Al-rich sections
determined at 640 and 600°C by [1948Ray]. The lines depict two sides of the (Al)+Co2Al9+FeAl3three-phase region. There is some disparity between the locations of these phase boundaries (together with
those in the vertical sections presented by [1948Ray]) and those given in Fig. 6 [1999Koz]. For this reason,
the exact locations of the phase boundaries at high-Al contents remain unclear. Complete solubility exists
between CoAl and FeAl [1966Rid, 1973Sid]. A detailed discussion is given by [1982Ray].
Temperature – Composition Sections
Figures 9 and 10 show vertical sections at 98.75 and 97.5 mass% Al, respectively, taken from [1948Ray].
A third section (at 98.5 mass% Al) was also presented in the article, but the liquidus and eutectic
temperatures for 0 mass% Co were approximately 10°C lower than given in the accepted Al-Fe binary phase
diagram, and were not consistent with the other two vertical sections either. For this reason, this section has
been omitted from this review.
Notes on Materials Properties and Applications
[1996Cha] studied the crystal structure and the magnetic moment of (FexCo(1-x))0.9Al0.1 alloys where the
mean number of 3d+4s electrons per transition atom was 9-x for 0 < x < 1. It was found that the presence
of the Al atom causes inflation of the unit cell and a corresponding decrease in the magnetic moment of the
transition metals atoms. This resulted in a decrease in the Curie temperatures and an increase in the
resistivity. [2000Szy] conducted Mössbauer and magnetic studies of Fe3-xCoxAl. It was found that Co
modifies the lattice parameter and Debye temperature by causing lattice shrinkage through Al-Co pair
interactions. The magnetic moment of Co was measured as ~ 0.05 B at x = 0.0 and 1.15 B at x = 2.0. The
magnetic moment of Fe was given as ~1.9 B for x < 1 and 2.7 B for x = 2. The saturation magnetization
at room temperature and 1.2 T measured by VSM is
(x) = 5.47 × (2-1.2(1)x+0.46(4)x2) B.
Miscellaneous
The extent of the + ' phase field with respect to temperature was studied by DTA [1994Koz1].
Temperature contours are shown in Fig. 11. Small Al additions increase the ordering temperature of CoFe
[1955Gri]. Co additions lead to a slight increase of the ordering temperature of Fe3Al (D03) [1969Bul]. This
is a characteristic of elements (Co, Cr, Mn, Ni), which substitute to the Al site in Fe3Al [1999Mek].
208
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Al–Co–Fe
References
[1933Koe] Köster, W., “The System Iron-Cobalt-Aluminium” (in German), Arch. Eisenhuettenwes., 7,
263-264 (1933) (Equi. Diagram, Experimental, 2)
[1941Edw] Edwards, O.S., “An X-Ray Investigation of the Aluminium-Cobalt-Iron System”, J. Inst.
Met., 67, 66-77 (1941) (Crys. Structure, Equi. Diagram, Experimental, 16)
[1948Ray] Raynor, G.V, Waldron, M.B., “The Constitution of the Aluminium Rich Aluminium-
Cobalt-Iron Alloys, with Reference of the Role of Transitional Elements in Alloy
Formation”, Proc. Roy. Soc. A, 194, 362-374 (1948) (Equi. Diagram, Experimental, 12)
[1949Iva] Ivanov, I.O.S., Skryabina, M.A., “Phase Constitution of Alloys Between Iron and the
Compound CoAl” (in Russian), Izv. Akad. Nauk SSSR, Otdel. Khim. Nauk, 242-253 (1949)
(Crys. Structure, Equi. Diagram, Experimental, 12)
[1955Gri] Griest, A.J., Libsch J.F., Conard, G.P., “Effect of Ternary Additions of Si and Al on the
Ordering Reaction in Fe-Co”, Acta Metall., 3, 509-510 (1955) (Experimental, 7)
[1966Rid] Ridley, N., “Defect Structures in Binary and Ternary Alloys Based on CoAl”, J. Inst. Met.,
94, 255-258 (1966) (Crys. Structure, Equi. Diagram, Experimental, 9)
[1969Bul] Bulycheva, Z.N., Kondrat'ev, V.K., Pogosov V.Z, Svezhova, S.I., “The Effect of Chromium
and Cobalt on the Structure and Properties of Ordered Fe-Al Alloys” (in Russian), Sb. Tr.
Nauchno-Issled. Inst. Chern. Met., 71, 55-62 (1969) (Equi. Diagram, 7)
[1973Sid] Sidorenko, F.A., Kotov, A.P., Zelenin L.P., Gel'd, P.V., “Physical Properties of FeAl-CoAl
Solid Solutions” (in Russian), Fiz. Metall. Metalloved., 35, 218-219 (1973) (Crys. Structure,
Experimental, 5)
[1982Ray] Raynor, G.V., Rivilin, V.G., “Critical Evaluation of Constitution of Aluminium-Cobalt-Iron
System”, Int. Met. Rev., 27(3), 169-183 (1982) (Equi. Diagram, Review, 24)
[1987Miy] Miyazaki, T., Isobe, K., Kozakai T., Doi, M., “The Phase Separations of Fe-Al-Co Ordering
Alloys”, Acta Metall., 35(2), 317-326 (1987) (Equi. Diagram, Experimental, 30)
[1991Kub] Kubaschewski, O., “Aluminium - Cerium - Iron”, MSIT Ternary Evaluation Program, in
MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart; Document ID: 10.15955.1.20, (1991) (Crys. Structure, Equi. Diagram,
Assessment, 15)
[1994Bur] Burkhardt, U., Grin, J., Ellner, M., Peters, K., “Structure Refinement of the Iron-Aluminium
Phase with the Approximate Composition Fe2Al5”, Acta Crystallogr., Sect. B: Struct.
Crystallogr. Crys. Chem., B50, 313-316 (1994) (Crys. Structure, Experimental, 9)
[1994Koz1] Kozakai, T., Miyazaki, T., “Experimental and Theoretical Studies on Phase Separations in
the Fe-Al-Co Ordering Alloy System”, J. Mater. Sci., 29(3), 652-659 (1994) (Equi.
Diagram, Experimental, Calculation, 25)
[1994Koz2] Kozakai, T., Miyazaki, T., “Experimental And Theoretical Investigations on Phase
Diagrams of Fe Base Ternary Ordering Alloys”, ISIJ Int., 34(5), 373-383 (1994) (Equi.
Diagram, Magn. Prop., 18)
[1996Bur] Burkhardt, U., Grin, J., Ellner, M., Grin, Yu., “Powder Diffraction Data for the Intermetallic
Compounds Co2Al5, Monoclinic m-Co4Al13 and Orthorhombic o-Co4Al13”, Powder Diffr.,
11(2), 123-128, (1996) (Crys. Structure, Experimental, 23)
[1996Cha] Chadjivasiliou, S.C., Efthimiadis, K.G., Tsoukalas, I.A., Hesse, J., “Crystal Structure,
Magnetization and Resistivity of 3d-Transition Metal Alloys with 10% Al Admixtures”,
Mater. Res. Bull., 31(12), 1471-1477 (1996) (Crys. Structure, Magn. Prop., Experimental,
10)
[1996Gru] Grushko, B., Wittenberg, R., Bickmann, K., Freiburg, C., “The Constitution of Aluminium-
Cobalt Alloys between Al5Co2 and Al9Co2”, J. Alloys Compd., 233, 279-287 (1996) (Crys.
Structure, Equi. Diagram, Experimental, 18)
[1999Koz] Kozakai, T., Okamoto, R., Miyazaki, T., “Phase Equilibria in the Fe-Al-Co Ternary System
at 923 K”, Z. Metallkd., 90(4), 261-266 (1999) (Equi. Diagram, Experimental, #, 12)
209
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Fe
[1999Mek] Mekhrabov, A.O., Akdeniz, M.V., “Effect of Ternary Alloying Elements Addition on
Atomic Ordering Characteristics of Fe-Al Intermetallics”, Acta Mater., 47(7), 2067-2075
(1999) (Calculation, Theory, Thermodyn., 63)
[2000Szy] Szymanski, K., Biernacka, M., Dobrzynski, L., Perzynska, K., Recko, K., Satula, D.,
Waliszewski, J., Zaleski, P., “Mössbauer and Magnetic Studies of Fe3-xCoxAl”, J. Magn.
Magn. Mater., 210, 150-162 (2000) (Moessbauer, Magn. Prop., 36)
[2001Miy] Miyazaki, T., “Computational Investigation on the Microstructure Formation in
Multi-Component Alloy Systems Based on the Phase Field Method”, Calphad, 25(2),
231-239 (2001) (Calculation, Equi. Diagram, 15)
[2002Ohn] Ohnuma, I., Enoki, H., Ikeda, O., Kainuma, R., Ohtani, H., Sundman, B., Ishida, K., “Phase
Equilibria in the Fe-Co Binary System”, Acta Mater., 50, 379-393 (2002) (Equi. Diagram,
Thermodyn., Experimental, Assessment, 50)
[2003Gru] Grushko, B, Cacciamani, G., “Al-Co (Aluminium - Cobalt)”, MSIT Binary Evaluation
Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International
Services, GmbH, Stuttgart; to be published, (2003) (Equi. Diagram, Assessment, Crys.
Structure, 72)
[2003Pis] Pisch, A., “Al-Fe (Aluminum-Iron)” MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services, GmbH,
Stuttgart; to be published, (2003) (Equi. Diagram, Crys. Structure, Assessment, 58)
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
,Fe1-x-yCoxAly
(Al)
< 660.452
( Co)
1495-422
( Fe)(h1)
1394-912
cF4
Fm3m
Cu a = 404.96
a = 354.47
a = 364.67
pure Al at 25°C [Mas2]
pure Co at 25°C [Mas2]
pure Fe at 915°C [Mas2]
( Co)
< 422
hP2
P63/mmc
Mg
a = 250.71
c = 406.86
at 25°C [Mas2]
,Fe1-x-yCoxAly
( Fe)(h2)
1538-1394
( Fe)(r)
< 912
cI2
Im3m
W a = 293.15
a = 286.65
0 x 0.77 at y = 0
0 y 0.55 at x = 0
at 1480°C [Mas2]
at 25°C [Mas2]
',(FexAl1-x)(FeyCo1-y)
CoAl
< 1640
FeAl
< 1310
FeCo
< 730
cP2
Pm3m
CsCl
a = 286.2
a = 290.9
a = 285.71
0 y 1 at x = 0
[1966Rid]
50 at.% Al (from 20 to 54 at.% Al
at 1400°C) [2003Gru]
50 at.% Al (from 36 at 50 at.% Al at
500°C) [2003Pis]
50 at.% Co [V-C2] (from 25 to 70 at.%
Co at 500°C) [2002Ohn]
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Al–Co–Fe
Table 2: Invariant Equilibria
Co2Al5< 1188
hP28
P63/mmc
Co2Al5
a = 767.2
c = 760.5
[1996Gru]
[1996Bur]
O-Co4Al13
< 1080
oP102
Pmn21
O-Co4Al13
a = 815.8
b = 1234.7
c = 1445.2
[1996Gru]
[1996Bur]
Co2Al9< 970
mP22
P21/a
Co2Al9
a = 855.65
b = 629.0
c = 621.3
= 94.76°
[2003Gru]
Fe3Al
< 547
cF16
Fm3m
BiF3
a = 579.23 [V-C2]. Ordered D03 phase
FeAl2< 1156
aP18
P1
FeAl2
a = 487.8
b = 646.1
c = 880.0
= 91.75°
= 73.27°
= 96.89°
at 66.9 at.% Al [V-C2]
Fe2Al5< 1169
oC24
Cmcm
a = 765.59
b = 641.54
c = 421.84
at 71.5 at.% Al [1994Bur]
FeAl3< 1160
mC102
C2/m
FeAl3
a = 1549.2
b = 807.8
c = 1247.1
= 107.69°
at 76.0 at.% Al [2003Pis]
Sometimes called Fe4Al13 in the
literature
Reaction T [°C] Type Phase Composition (at.%)
Al Co Fe
L ( Co) + CoAl ? e (min) L ~14.9 ~63.5 ~21.5
L (Al) + FeAl3 + Co2Al9 653.9 E1 L
(Al)
FeAl3Co2Al9
99.08
~100
?
81.8
0.16
~0
?
18.2
0.76
~0
?
~0
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
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Al–Co–Fe
Fig. 1: Al-Co-Fe. Partial reaction scheme
Co-Fe Al-Co Al-Co-Fe
l (Al) + Co2Al
9
657 e3
l (Al) + FeAl3
655 e4
L (Al) + FeAl3
+ Co2Al
9653.9 E
1
L + FeAl3
+Co2Al9
l + (δFe) (γFe)
1504 p1
l (αCo) + CoAl
1400 e1
L (αCo) + CoAl
? e2
(min)
Al-Fe
(Al) + FeAl3
+ Co2Al9
20
40
60
80
20 40 60 80
20
40
60
80
Fe Co
Al Data / Grid: at.%
Axes: at.%
1300
1350 1400
1450 1500 1550
1600
1500
1450
1450
1400
b2
e1
a2
a1 b1
p1
α γ
α'
Fig. 2: Al-Co-Fe.
Part of the liquidus
surface
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Al–Co–Fe
Fe 2.00Co 0.00Al 98.00
Fe 0.00Co 2.00Al 98.00
Al Data / Grid: at.%
Axes: at.%
(Al)
E1
670
670
690
690Co2Al9
FeAl3
e3
e4
20
40
60
40 60 80
20
40
60
Fe 70.00Co 30.00Al 0.00
Co
Fe 0.00Co 30.00Al 70.00 Data / Grid: at.%
Axes: at.%
α
(γCo)
Al rich boundary ofthe CoAl phase
Fig. 3: Al-Co-Fe.
Liquidus surface of
the Al rich corner
Fig. 4: Al-Co-Fe.
Part of the isothermal
section at 800°C
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Al–Co–Fe
20
40
60
80
20 40 60 80
20
40
60
80
Fe Co
Al Data / Grid: at.%
Axes: at.%
FeAl3Fe2Al5
FeAl2
O-Co4Al13
Co2Al9
αα
α'
α'+α' α+α'
(Al)
(γCo)
Co2Al5
Z
1 2
60
70
80
90
10 20 30 40
10
20
30
40
Fe Fe 50.00Co 50.00Al 0.00
Fe 50.00Co 0.00Al 50.00 Data / Grid: at.%
Axes: at.%
α'
α
Fig. 6: Al-Co-Fe.
Isothermal section at
650°C
Fig. 5: Al-Co-Fe.
Isothermal section
(Fe-rich part) at
700°C
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Al–Co–Fe
Fe 10.00Co 0.00Al 90.00
Fe 0.00Co 10.00Al 90.00
Al Data / Grid: at.%
Axes: at.%
(Al)+FeAl3(Al)+FeAl3
+Co2Al9
(Al)+Co2Al9
(Al)
Fe 10.00Co 0.00Al 90.00
Fe 0.00Co 10.00Al 90.00
Al Data / Grid: at.%
Axes: at.%
(Al)+FeAl3
(Al)+FeAl3+Co2Al9(A
l)+C
o 2A
l 9
(Al)
Fig. 7: Al-Co-Fe.
Isothermal section at
640°C (Al-rich part)
Fig. 8: Al-Co-Fe.
Isothermal section at
600°C (Al-rich part)
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Al–Co–Fe
Fe 0.61Co 0.00Al 99.39
Fe 0.00Co 0.58Al 99.42Co, at.%
Tem
pera
ture
, °C
L
(Al)+L
(Al)+FeAl3+L
(Al)+FeAl3 (Al)+Co2Al9+FeAl3(Al)+Co2Al9
(Al)+Co2Al9+L
L+Co2Al9
650
660
670
0.20 0.40
700
Fe 1.22Co 0.00Al 98.78
Fe 0.00Co 1.16Al 98.84Co, at.%
Tem
pera
ture
, °C
L+Co2Al9+FeAl3
(Al)+Co2Al9+L(Al)+FeAl3+L
(Al)+Co2Al9+FeAl3
L
650
675
725
750
625
Fig. 9: Al-Co-Fe.
Isopleth at 98.75
mass% Al
Fig. 10: Al-Co-Fe.
Isopleth at 97.5
mass% Al
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Al–Co–Fe
20
40
60
80
20 40 60 80
20
40
60
80
Fe Co
Al Data / Grid: at.%
Axes: at.%
427°C577
677
727
Fig. 11: Al-Co-Fe.
Temperature limits of
the A2 + B2 phase
field
217
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Al–Co–Gd
Aluminium – Cobalt – Gadolinium
Oksana Bodak
Literature Data
Experimental studies in this system are mostly motivated by the search for magnetic properties. Solid
solutions extending over significant ranges of compositions are confirmed in the literature. These phases
are based on the binary compounds GdCo2, GdCo5 and GdAl2 and on the ternary compounds GdCo2-xAlx(0.98 x 1.46) and Gd2Co6Al11, discovered by [1978Pop].
Since then there are numerous new publications on this system concerning phase equilibria, crystal
structures or properties of phases. The CoAl-Gd isopleth was established by [1993Wan, 1994Wan]. They
also confirmed the existence of the ternary phase GdCoAl ( 4) and presence of a new ternary phase of
stoichiometry Gd(Co,Al)1.5. [1994Liu, 2001Gu] prepared a series of alloys in the Gd2Co17-xAlx (x = 0-5)
solid solution region to examine structures and properties. [1999She] investigated the structure and
magnetic anisotropy of the alloy Gd2Co15Al2. Crystal structure and magnetic properties of several alloys,
for example GdCo4Al, were studied by [1996Tha, 1997Gal. [2001Rou] reported the existence of the ternary
phase Gd2Co3Al9 including its structure and magnetic properties.
All samples were prepared by arc-melting from high-purity metals [1967Oes, 1970Shi, 1971Oes, 1973Zar,
1976Oes, 1978Pop, 1985Chu1, 1985Chu2, 1993Wan, 1994Liu, 1994Wan, 1997Che, 1997Gal, 1999She,
2000Jar, 2001Gu, 2001Rou]. They were investigated both in annealed and as cast state. For crystal structure
determination the X-ray powder method was used. Single crystal of GdCo4Al composition was grown by
tri-arc Czochralski apparatus [1996Tha]. In most cases magnetic properties were studied, such as Curie
temperature, magnetization, magneto-crystalline anisotropy [1978Pop, 1996Tha, 1997Che, 1999She,
2000Jar, 2001Gu, 2001Rou]. For these purpose different type of magnetometers were used to measure in
magnetic fields up to 5.5T and in a temperature range of 2-300 K. In [1997Gal] the magnetic measurements
were performed at 27-527°C and the temperature dependence of the electric resistivity was explored in the
range of 4.2-500 K. The XPS measurements were performed in [2001Jar].
The present evaluation builds on a critical review of the literature data made in the MSIT Ternary
Evaluation Program by [1991Gri]. It was based on published information pertaining to investigation of
samples within the composition GdAl2-GdCo2 [1967Oes, 1969Tes, 1971Oes] and GdCo5-xAlx (x = 0-1.75)
[1970Shi, 1976Oes, 1985Chu1, 1985Chu2]. Combing the earlier data with the isopleth established by
[1993Wan, 1994Wan] now allows to draw an isothermal section at 600°C.
Binary Systems
For phase relations in the binary Co-Gd the description given by [Mas2] still applies. The other edge binary
data are accepted as evaluated in the MSIT Binary Evaluation Program: Al-Co by [2003Gru] and Al-Gd by
[2002Bod].
Solid Phases
Four ternary phases were found in the system. Crystal structure was studied for three of them. Data about
composition and structure of phases of the Al-Co-Gd system are shown in Table 1. Crystal structure and
electronic structure of GdCoAl compound as well as its magnetic properties were subjected to investigation
by [2000Jar, 2001Jar].
Invariant Equilibria
The invariant ternary reactions given in Table 2 are mainly based on data from [1993Wan, 1994Wan].
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Al–Co–Gd
Isothermal Sections
A possible scheme of phase equilibria at 600°C shown in Fig. 1. It is obtained by combing (a) the data on
GdCo2-GdAl2 reported by [1967Oes, 1971Oes] (b) CoAl-Gd vertical section by [1993Wan, 1994Wan] and
(c) homogeneity ranges for the ternary as well as binary phases. According to the binary phase diagram
GdCo5 decomposes at ~850°C [Mas2], however in ternary alloys a phase with the same CaCu5 type (3)
structure was found in both as cast [1970Shi] and in alloys annealed at 900°C [1977Gal]. Figure 1 shows
how this phase with the CaCu5 structure possibly extends into ternary compositions.
Temperature – Composition Sections
The CoAl-Gd vertical section (Fig. 2) was determined by [1993Wan, 1994Wan]. At first sight this section
seems to describe a pseudobinary system but the abstract given by [1994Wan] points out that presence of a
three-phase field is possible on this section. According to [1993Wan, 1994Wan] solubility of Gd in CoAl
is about 0.5 at.% at 1040°C.
Miscellaneous
It is reported that the Curie temperature of solid solution phases decrease with increasing Al content
[1997Che, 2001Gu]. Gd2Co3Al9 presents two characteristic magnetic anomalies around 100 and 20 K
[2001Rou].
References
[1967Oes] Oesterreicher, H., Wallace, W.E., “Studies of Pseudo-Binary Laves-Phase Systems
Containing Lanthanides. I.”, J. Less-Common Met., 13, 91-102 (1967) (Experimental, Crys.
Structure, 22)
[1969Tes] Teslyuk, M.Yu., “Intermetallic Compounds with Structure of Laves Phases” (in Russian),
Nauka, Moscow, 1-136 (1969) (Review, Crys. Structure, Equi. Diagram, 312)
[1970Shi] Shidlovsky, I., Wallace, W.E., “Magnetic and Crystallographic Characteristics of the
Ternary Intermetallic Compounds Containing Lanthanides and Fe or Co”, J. Solid State
Chem., 2, 193-198 (1970) (Experimental, Crys. Structure, 23)
[1971Oes] Oesterreicher, H. “Structural Studies of Rare-Earth Compounds RCoAl”, J. Less-Common
Met., 25, 228-230 (1971) (Experimental, Crys. Structure, 13)
[1973Zar] Zarechnyuk, O.S., Rykhal, R.M., Vivchar, O.I. “Laves Phases in Ternary Systems
Rare-Earth Metal-Transition Metal of the IV Period-Aluminium”, Sb. Nauch. Rab. Inst.
Metallofiz, Akad. Nauk Ukr. SSR, 42, 92-94 (1973) (Experimental, Crys. Structure, 22)
[1976Oes] Oesterreicher, H., McNeely, D., “Low-Temperature Magnetic Studies on Various
Substituted Rare Earth (R)-Transition Metal(T) Compound RT5”, J. Less-Common Met.,
45, 111-116 (1976) (Experimental, Crys. Structure, 6)
[1978Pop] Pop, I., Coldea, M., Wallace, W.E., “NMR and Magnetic Susceptibility of Gd2Cu6Al11 and
Gd2Co6Al11 Intermetallic Compounds”, J. Solid State Chem., 26, 115-121 (1978)
(Experimental, Crys. Structure, 7)
[1985Chu1] Chuang, Y.C., Wu, C.H., Chen, H.B., “Structure and Decomposition Behaviour of
GdCo5--xMx Pseudo binary Compounds. II.-Decomposition Behaviour”, J. Less-Common
Met., 106(2), 219-228 (1985) (Experimental, Crys. Structure, 46)
[1985Chu2] Chuang, Y.C., Wu, C.H., Chen, B.H., “Structure and Decomposition Behaviour of
GdCo5-xMx Pseudobinary Compounds: I: Structure”, J. Less-Common Met., 106(1), 41-51
(1985) (Experimental, Crys. Structure, 34)
[1991Gri] Grieb B., ”Aluminium-Coblt-Gadolinium”, MSIT Ternary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; Document ID: 10.14294.1.20 (1991) (Crys. Structure, Equi. Diagram,
Assessment, 5)
219
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Gd
[1993Wan] Wan, J.L., Bi, Q.H., “Phase Diagram of Gd-CoAl Pseudo-Binary System”, Proc. 7th
National Symposium on Phase Diagrams, 27-30 (1993 (Experimental, Crys. Structure,
Equi. Diagram, #)
[1994Liu] Liu, J.P., Boer, F.R. de, Chatel, P.F. de, Coehoorn, R., Buschow, K.H.J., “On the 4f-3d
Exchange Interaction in Intermetallic Compounds”, J. Magn. Magn. Mater., 132, 159-179
(1994) (Magn. Prop., Review, 64)
[1994Wan] Wan Jinglong, Bi Qinghua, “Gd-CoAl Vertical Section of the Gd-Co-Al Phase Diagram”
(in Chinese), Acta Metall. Sin., 30(5), B204-207 (1994) (Experimental, Equi. Diagram, #, 5)
[1996Tha] Thang, C.V., Brommer, P.E., Colpa, J.H.P., Bruek, E., Menovsky, A.A., Thuy, N.P., Franse,
J.J.M., “Magnetocrystalline Anisotropy and R-Cu Exchange Interaction in Monocrystalline
RCo4Al (R = Y, Gd and Ho)”, J. Alloys Compd., 245, 100-111 (1996) (Experimental, Crys.
Structure, 40)
[1997Che] Cheng, Z.-H., Shen, B.-G., Zhang, J.-X., Liang, B., Guo, H.-Q., Kronmueller, H., “Influence
of Al Substitution on the Structure and Co-sublattice Magnetocrystalline Anisotropy of
Gd2Co17 Compounds”, Appl. Phys. Lett., 70(25), 3467-3469 (1997) (Experimental, Crys.
Structure, Magn. Prop., 8)
[1997Gal] Galatanu, A., Kottar, A., Artigas, M., Plugaru, N., Lazar, D.P., “Effect of Aluminium on
Phase Stability in the Gd3Co11(B,Al)4 System”, J. Alloys Compd., 262-263, 356-362 (1997)
(Experimental, Crys. Structure, 21)
[1999She] Shen, B., Cheng, Z., Zhang, S., Wang, J., Liang, B., Zhang, H., Zhan, W., “Magnetic
Properties of R2Co15Al2 compounds with R = Y, Ce, Pr, Nd, Sm, Gd, Tb, Ho, Er, Tm”,
J. Appl. Phys., 85(5), 2787-2792 (1999) (Experimental, Crys. Structure, Magn. Prop., 43)
[2000Jar] Jarosz, J., Talik, E., Mydlarz, T., Kusz, J., Boehm, H., Winiarski, A., “Crystallographic,
Electronic Structure and Magnetic Properties of the GdTAl; T = Co, Ni and Cu Ternary
Compounds”, J. Magn. Magn. Mater., 208, 169-180 (2000) (Experimental, Crys. Structure,
Magn. Prop., 23)
[2001Gu] Gu, Z.F., Liu, Z.Y., Zeng, D.C., Liang, S.Z., Klaasse, J.C.P., Brueck, E., De Boer, F.R.,
Buschow, K.H.J., “On the Occurence of Spin-Reorientation Transitions in R2Co17-xGax and
R2Co17-xAlx Compounds”, J. Alloys Compd., 319, 37-42 (2001) (Experimental, Crys.
Structure, Magn. Prop., 14)
[2001Jar] Jarosz, J., Talik, E., “Electronic Structure and ESR in GdTAl Ternary Compounds; T = 3d,
4d Transition Metals”, J. Alloys Compd., 317-318, 385-389 (2001) (Experimental, Crys.
Structure, Phys. Prop., 7)
[2001Rou] Routsi, Ch., Yakinthos, J.K., “Crystal Structure and Magnetic Properties of R2Co3Al9Compounds (R = Y, Pr, Gd, Tb, Dy, Ho, Er, Tm)”, J. Alloys Compd., 323-324, 427-430
(2001) (Experimental, Crys. Structure, Magn. Prop., 14)
[2002Bod] Bodak, O., “Al-Gd (Aluminum - Gadolinium)” MSIT Binary Evaluation Program,in MSIT
Workplace, Effenberg, G. (Ed.), Materials Science International Services GmbH Stuttgart;
Document ID: 20.12303.1.20 (2002) (Equi. Diagram, Assessment, 15)
[2003Gru] Grushko, B., Cacciamani, G., “Al-Co (Aluminium - Cobalt)”, MSIT Evaluation Program,
in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart, to be published (2003) (Equi. Diagram, Assessment, 72)
220
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Gd
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
( Gd)
1313-1200
cF4
Fm3m
Cu
a = 540.5 [Mas2, V-C2]
( Gd)
< 1200
hP2
P63/mmc
Mg
a = 363.3
c = 577.3
[Mas2, V-C2]
( Co)
422-1495
cF4
Fm3m
Cu
a = 354.46 [Mas2]
( Co)
< 422
hP2
P63/mmc
Mg
a = 250.71
c = 406.95
[Mas2]
(Al)
< 660.452
cF4
Fm3m
Cu
a = 404.88 [Mas2]
Co2Al9< 970
mP22
P21/a
a = 855.6
b = 629.0
c = 621.3
= 94.76°
[2003Gru]
O-Co4Al13
< 1080
oP102
Pmn21
O-Co4Al13
a = 815.8
b = 1234.7
c = 1445.2
[2003Gru]
M-Co4Al13
1093-?
mC102
C2/m
Fe4Al13
a = 1517.3
b = 810.9
c = 1234.9
= 107.84°
[2003Gru]
Y
1127-?
oI*
Immm
mC34
C2/m
Os4Al13
a = 1531.0
b = 1235.0
c = 758.0
a = 1704.0
b = 409.0
c = 758.0
= 116.0°
[2003Gru]
Z
< 1158
C-centr.monocl. a = 3984.0
b = 814.8
c = 3223.0
= 107.97°
[2003Gru]
Co2Al5< 1188
hP28
P63/mmc
Co2Al5
a = 767.2
c = 760.5
[2003Gru]
Co1-xAlx< 1640
cP2
Pm3m
CsCl
a = 285.7
a = 286.2
a = 285.9
x = 0.52 [2003Gru]
x = 0.5
x = 0.43
221
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Gd
GdAl3< 1125
hP8
P63/mmc
Ni3Sn
a = 633.2
c = 460.0
[2002Bod]
GdCoxAl2-x
< 1520
cF24
Fd3m
MgCu2
a = 790.3
a = 782.8
a = 775.9
x < 0.54
x = 0 [1967Oes]
x = 0.3 [1967Oes]
x = 0.45 [1967Oes]
Gd2Co17-xAlx< 1370
hR57
R3m
Th2Zn17
a = 838.5
c = 1220.8
a = 838.6
c = 1219.5
a = 840.0
c = 1223.2
a = 841.6
c = 1223.9
a = 841.8
c = 1227.2
a = 844.4
c = 1228.0
a = 844.4
c = 1228.0
a = 845.0
c = 1229.5
a = 847.6
c = 1231.3
a = 846.9
c = 1231.6
a = 851.0
c = 1237.2
a = 854.4
c = 1239.7
x = 0 [2001Gu]
x = 0 [1997Che]
x = 1 [2001Gu]
x = 1 [1997Che]
x = 2 [2001Gu]
x = 2 [1997Che]
x = 2 [1999She]
x = 3 [2001Gu]
x = 3 [1997Che]
x = 4 [2001Gu] at 1000°C
x = 4 [1997Che]
x = 5 [1997Che]
GdCo5
1350-850
hP6
P6/mmm
CaCu5
a = 496.0
c = 398.9
a = 498
c = 398
[Mas2, V-C2]
[1970Shi]
Gd2Co7
< 1295
hR54
R3m
Er2Co7
a = 502.4
c = 3632
[Mas2, V-C2]
GdCo3
< 1277
hR36
R3m
NbBe3
a = 502.6
c = 2445.6
[Mas2, V-C2]
GdCo2-xAlx< 1116
cF24
Fd3m
MgCu2
a = 724.9
a = 729.3
a = 732
x = 0 [1967Oes]
x = 0.2 [1967Oes]
x = 0.35 [1967Oes]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
222
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Gd
Table 2: Invariant Equilibria
* 1, Gd2Co6Al11 hP38
P63/mmc
Th2Ni17
a = 872.3
c = 893.1
[1978Pop]
* 2, Gd2Co3Al9 oS56
Cmcm
Y2Co3Ga9
a = 1275.7 ± 2
b = 757.0 ± 5
c = 945.0 ± 2
[2001Rou]
* 3, GdCo5-xAlx hP6
P6/mmm
CaCu5
a = 500
c = 399
a = 501
c = 404
a = 505.095
c = 403.958
a = 504
c = 406
a = 505
c = 407
~0.05 x 1.8
x = 0.25 [1970Shi]
x = 1 [1970Shi]
x = 1 [1997Gal]
x = 1.5 [1970Shi]
x = 1.75 [1970Shi]
* 4, GdCo2-xAlx< 1170
hP12
P63/mmc
MgZn2 a = 537.0
c = 857.1
a = 539.1
c = 853.2
a = 544.5
c = 861.7
a = 545.2
c = 861.2
0.98 x 1.46; [1967Oes, 1971Oes,
1993Wan, 1994Wan]
x = 1 [1971Oes]
x = 1 [1993Wan]
x = 1 [2000Jar]
x = 1.4 [1967Oes]
* 5, Gd(Co,Al)1.5
< 860
[1994Wan]
Reaction T [°C] Type Phase Composition (at.%)
Al Co Gd
L CoAl + 4 1040 e L
CoAl
4
37.25
~49.2
33.3
37.25
~50.3
33.3
25.5
~0.5
33.3
L 4 1170 congruent L, 4 33.3 33.3 33.3
L + 4 5 860 p L
4
5
24
33.3
30
24
33.3
30
52
33.3
40
L 5 + (Gd) 707 e L
5
(Gd)
18.25
30
-
18.25
30
-
63.5
40
100
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
223
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Gd
20
40
60
80
20 40 60 80
20
40
60
80
Gd Co
Al Data / Grid: at.%
Axes: at.%
GdAl3
GdAl2
Co2Al9
Co2Al5
Co1-xAlx
GdCo2GdCo3
Gd2Co7 Gd2Co17
O-Co4Al13Z
τ1
τ5
τ3
τ2
τ4
(αCo)
Fig. 1: Al-Co-Gd.
Scheme of presumable
phase equilibria at
600°C.
Section GdCo2 - GdAl2according to [1967Oes].
Section CoAl - Gd
according to [1993Wan,
1994Wan]
80 60 40 200
250
500
750
1000
1250
1500
1750
Gd Gd 0.00Co 50.00Al 50.00Gd, mass%
Tem
pera
ture
, °C L+τ4
>1170°C
L+CoAl
CoAl+τ4
(αGd)+τ5
L+τ5
L+(αGd)
L+(βGd)
CoAl
860°C
1640°C
L
1040°C
707°C
1313°C
1235°C
τ5 τ4
Fig. 2: Al-Co-Gd.
Vertical section
Gd - CoAl
[1993Wan,
1994Wan]
224
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Hf
Aluminium – Cobalt – Hafnium
Ortrud Kubaschewski, updated by Lazar Rokhlin, Nataliya Bochvar
Literature Data
The present evaluation of the Al-Co-Hf system incorporates and updates the assessment made by
[1991Kub] in the MSIT Evaluation Program, based on data published by [1965Mar, 1969Mar, 1971Bur,
1974Dwi, 1974Mar, 1974Zie]. In all the works crystal structure of the ternary compounds have been
studied, and [1971Bur] in addition investigated the phase equilibria in the area Al-HfAl2-HfCo2-Co.
Further reviews by [1977Abr, 1990Kum] do not really add to the published knowledge, as they merely
describe the Al-Co-Hf phase diagram as presented by [1971Bur] not addressing the inconsistencies with
later data.
In addition to the above investigations of the Heusler phase HfCo2Al published by [1983Bus] are to be
considered, in particular as their measurements of the lattice parameters in HfCo2Al turned out to be close
to those by [1965Mar, 1974Zie]]. The match of the ternary and the edge binary phases needs to be reviewed,
as new critical evaluations of the Al-Co and Co-Hf systems have superseded the binary phase diagrams
published earlier.
Binary Systems
The phase diagram of Al-Hf published in [1981Kub] still reflects the present state of knowledge, whereas
revised binary phase diagrams are available from the MSIT Binary Evaluation Program for Al-Co
[2003Gru] and for Co-Hf [2003Rok]. [2003Gru] shows three different compounds to exist in the vicinity of
Co4Al13 which earlier was considered to be the only compound. The three compounds shown by [2003Gru]
are O-Co4Al13, M-Co4Al13 and Y. The first one is stable down to room temperature, the two others exist
only at higher temperatures. According to [2003Gru] a monoclinic phase designated Z exists in the vicinity
of the composition CoAl3.
Solid Phases
Nine ternary phases were found to exist in the Al-Co-Hf system [1991Kub]. These are HfCoAl4,
Hf6Co7Al16, HfCo2Al, Hf6CoAl2, 1, 2, X, H' and L'. The 1, 2 phases show pronounced ranges of
homogeneity along the section for HfAl2-HfCo2. The 1 phase includes the composition HfCoAl and is
limited in its homogeneity range by the concentrations 33.3Hf-(16.7-49.7)Co(18-50)Al (at.%). The range
of 2 - is significantly less than that of 1 and limited by the concentrations 33.3Hf-(9.7-6.7)Co(57-60)Al
(at.%). Compositions of X, H', L' were established by X-ray measurements and metallographic observations
without determination of their crystal structures. [1971Bur] supposes that the homogeneity range of the
compound HfCo2 expands into the ternary system, up to 10 at.% Al. Crystal structures of the solid phases
are presented in Table 1 with unary and binary phases pertinent to the isothermal section at 800°C.
Isothermal Sections
From the data reported by [1971Bur] and the data from the recently evaluated Al-Co and Co-Hf systems an
amended partial isothermal section can be drawn, in the limits of the area Al-HfAl2-HfCo2-Co. In
accordance with the binary Co-Hf phase diagram the phase Hf6Co23 is stable in the temperature range
1270-950°C and, therefore, is removed from the isothermal section at 800°C [1971Bur]. The phase Hf2Co7,
however, is stable at 800°C and, therefore inserted in the isothermal section. Corrections according to the
accepted binary Al-Co system include replacement of the phases Co4Al13 and CoAl3 with the phases
O-Co4Al13 and Z, respectively.
For a number of other solid phases the range of existence is not firmly established. By lack of information
these phases appear in Fig. 1 as points only, subject to future research.
225
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Hf
Notes on Materials Properties and Applications
After annealing at 1000°C for 3 days [1983Bus] found that the Heusler phase HfCo2Al exhibits magnetic
properties with a Curie temperature of 193 K and a saturation magnetic moment of 0.82 at 4.2 K.
Miscellaneous
[1987Kis] successfully applied computer forecasting to retrospectively predict the existence of the Heusler
phase HfCo2Al from semi-empirical and fundamental data.
References
[1965Mar] Markiv, V.Ya., Voroshilov, Yu.V., Kripyakevich, P.I, Cherkashin, E.E., “New Compounds
of the MnCu2Al and MgZn2-types Containing Al and Ga”, Sov. Phys. Crystallogr., 9(5),
619-620 (1965), translated from Kristallografiya, 9, 737-738 (1964) (Crys. Structure,
Experimental, 4)
[1969Mar] Markiv, V.Ya., Burnashova, V.V., “New Ternary Compounds in the (Sc, Ti, Zr, Hf)-(V, Cr,
Mn, Fe, Co, Ni, Cu)-(Al, Ga) Systems” (in Russian), Dop. Akad. Nauk Ukrain. RSR, Ser. A,
Fiz.-Mat. Tekh. Nauki, (5), 463-464 (1969) (Crys. Structure, Experimental, 12)
[1971Bur] Burnashova, V.V., Markiv, V.Ya., Stroganov, G.B., “Study of the Hf-Co-Al System up to
33.3 at.% Hf” (in Russian), Dop. Akad. Nauk Ukr. RSR, Ser. A, Fiz.-Mat. Tekh. Nauki, (12),
1122-1124 (1971) (Crys. Structure, Experimental, Equi. Diagram, #, 20)
[1974Dwi] Dwight, A.E., “Alloying Behaviour of Zr, Hf, and the Actinides in Several Series of
Isostructural Compounds”, J. Less-Common Met., 34, 279-284 (1974) (Crys. Structure,
Experimental, 6)
[1974Mar] Marazza, R., Ferro, R., Rambaldi, G., Mazzjne, D., “On some Ternary Laves Phases in the
Systems of Al and Zr (or Hf) with a Metal of the VIII Group”, J. Less-Common Met., 37,
285-288 (1974) (Crys. Structure, Experimental, 11)
[1974Zie] Ziebeck, K.R.A., Webster, P.J., “A Neutron Diffraction and Magnetization Study of
Heusler Alloys Containing Co and Zr, Hf, V or Nb”, J. Phys. Chem. Solids, 35, 1-7 (1974)
(Experimental, Crys. Structure, 17)
[1977Abr] Abrikosov, N. Kh., “Phase Diagrams of Aluminium and Magnesium Alloy Systems” (in
Russian), Nauka, Moscow, 22-25 (1977) (Equi. Diagram, Review, 4)
[1981Fer] Ferro, R., Marazza, R., “Crystal Structure and Density Data, Hafnium, Alloys and
Compounds other than Halides and Chalcogenides”, Atom. Energy Rev., Special Issue
No. 8, IAEA, Vienna, 121-250 (1981) (Crys. Structure, Review, 645)
[1981Kub] Kubaschewski von Goldbeck, O.,”Phase Diagram, Hafnium”, Atom. Energy Rev., Special
Issue No. 8, IAEA, Vienna, 57-118 (1981) (Equi. Diagram, Review, 155)
[1983Bus] Buschov, K.H.J., Van Engen, P.G., Jongebreur, R., “Magneto-Optical Properties of Metalic
Ferromagnetis Materials”, J. Magn. Magn. Mater., 38, 1-22 (1983) (Magn. Prop., Optical
Prop., 23)
[1987Kis] Kiseleva, N.N., “Predicting of ABD2 (D=Co, Ni, Cu, Pd) Heusler Phases” (in Russian), Izv.
Akad. Nauk SSSR, Met., (2), 213-215 (1987) (Review, 4)
[1990Kum] Kumar, K.S., “Ternary Intermetallics in Aluminium-Refractory Metal-X Systems (X = V,
Cr, Mn, Fe, Co, Ni, Cu, Zn)”, Int. Mater. Rev., 35(6), 293-327 (1990) (Equi. Diagram,
Review, 158)
[1991Kub] Kubaschewski, O., “Aluminium - Cobalt - Hafnium”, MSIT Ternary Evaluation Program,
in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart, Document ID:10.15703.1.20 (1991) (Equi. Diagram, Assessment, Crys.
Structure, #, 9)
[2003Gru] Grushko, B., Cacciamani, G., “Al-Co (Aluminium-Cobalt)”, MSIT Binary Evaluation
Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International
226
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Hf
Services GmbH, Stuttgart, to be published (2003) (Equi. Diagram, Assessment, Crys.
Structure, 72)
[2003Rok] Rokhlin, L.L., Lysova, E.V., “Co-Hf (Cobalt-Hafnium)”, MSIT Binary Evaluation
Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International
Services GmbH, Stuttgart, to be published (2003) (Equi. Diagram, Crys. Structure,
Assessment, 11)
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
< 660.452
cF4
Fm3m
Cu
a = 404.88 pure Al [2003Gru]
dissolves up to 0.186 at.% Hf at 662.2°C
and 0.5 at.% Co at 657°C [Mas2]
( Co)
1495-422
cF4
Fm3m
Cu
a = 354.46 dissolves up to 19.5 at.% Al at 1400°C
[Mas2] and 0.8 at.% Hf at 1100°C
[2003Rok]
( Co)
< 422
hP2
P63/mmc
Mg
a = 250.71
c = 406.86
[Mas2, 2003Rok]
Co2Al9< 970
mP22
P21/a
-
a = 855.6
b = 629.0
c = 621.3
= 94.76
[V-C2, 2003Gru]
O-Co4Al13
<1080
oP102
Pmn21
O-Co4Al13
a = 815.8
b = 1234.7
c = 1445.2
[2003Gru]
M-Co4Al13
1093-?
mC102
C2/m
Fe4Al13
a = 1517.3
b = 810.9
c = 1234.9
= 107.84
[2003Gru]
Y
1124-?
oI*
Immm
-
mC34
C2/m
Os4Al13
a = 1531.0
b = 1235.0
c = 758.0
a = 1704.0
b = 409.0
c = 758.0
= 116.0
[2003Gru]
Z
< 1158
C-centr. monocl. a = 3984.0
b = 814.8
c = 3223.0
= 107.97
[2003Gru]
Co2Al5< 1188
hP28
P63/mmc
Co2Al5
a = 767.2
c = 760.5
a = 767.15
c = 760.85
[2003Gru]
[V-C2]
227
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Hf
Co1-xAlx< 1640
cP2
Pm3m
CsCl
a = 285.7
a = 286.2
a = 285.9
a = 286.11
at x = 0.52 [2003Gru]
at x = 0.5 [2003Gru]
at x = 0.43 [2003Gru]
[V-C2]
HfAl3~1590-~650
tI16
I4/mmm
ZrAl3
a = 389 to 401
c = 1714 to 1731
[1981Fer]
HfAl3 650
tI8
I4/mmm
TiAl3
a = 389 to 393
c = 893 to 889
[1981Fer]
HfAl2< 1650
hP12
P63/mmc
MgZn2
a = 523 to 529
c = 865 to 874
[1981Fer]
HfCo7
1255-1050
tP32
-
-
a = 707.0
c = 799.9
at 12.5 at. % Hf [2003Rok, 1981Fer]
Hf6Co23
1275-950
cF116
Fm3m
Mn23Th6
a = 1148.0
a = 1150.2
at 20.7 at.% Hf [2003Rok]
at 1200°C (annealed) [1981Fer]
Hf2Co7
< 1350
o**
-
(Ni7Zr2)
a = 444.4
b = 819.1
c = 1214.0
at 22.2 at.% Hf [2003Rok, 1981Fer]
HfCo2
< 1670
cF24
Fd3m
Cu2Mg a = 689.8 to 692.2
a = 691.2 to 692.2
from at least 28 up to 35 at.% Hf
[2003Rok]
[2003Roc]
[1981Fer]
* HfCo2Al cF16
AlCu2Mn
a = 601.9
a = 600.9
a = 604.5
(+some CoHf2) [1974Zie]
[1965Mar]
[1983Bus]
* ~Hf6Co7Al16 cF116
Fm3m
Th6Mn23
a = 1206 [1969Mar]
* ~HfCoAl4 -
-
(ZrCoAl4)
a = 718
c = 895
[1969Mar]
* Hf6CoAl2 hP9
P62m
Zr6CoAl2
a = 781
c = 328
[1969Mar, 1971Bur]
* 1, Hf(Co1-xAlx)2 hP12
P63/mmc
MgZn2
a = 503 to 518
c = 806 to 848
a = 508.1
c = 819.1
a = 506
c = 802
at 0.25 x 0.75 [1971Bur]
for HfCoAl [1974Dwi]
for HfCoAl [1974Mar]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
228
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Hf
* 2, Hf(CoxAl1-x)2 cF24
Fd3m
MgCu2
a = 737.5
0.10 x 0.15 [1971Bur]
at x = 0.15 [1971Bur]
* L'
Hf20Co70Al10
not determined [1971Bur]
* X
Hf4Co22Al74
not determined [1971Bur]
* H'
Hf30Co52Al18
not determined [1971Bur]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
20
40
60
80
20 40 60 80
20
40
60
80
Hf Co
Al Data / Grid: at.%
Axes: at.%
HfCo2 Hf2Co7
(αCo)
L´H'
HfCo2Alλ1
Hf6Co7Al16λ2
HfCoAl4
HfAl2
HfAl3
Co2Al5
ZO-Co4Al13
Co2Al9
L
CoAl
X
Fig. 1: Al-Co-Hf.
Isothermal section at
800°C
229
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Mn
Aluminium – Cobalt – Manganese
Eberhard E. Schmid, Gerhard Schneider, Qingsheng Ran, updated by Andy Watson
Literature Data
The Al-Co-Mn system was first investigated by Köster and Gebhardt [1938Koe1]. They determined seven
temperature-concentration sections and constructed the liquidus surface projection as well as the reaction
scheme in the region between 0 and 50 mass% Al by thermal analysis and microstructural observation. The
materials they used were of technical purities: Co with 1.4 mass% Fe, Mn with 1.4 mass% Si and 0.24
mass% (S+P) and Al with 0.4 mass% (Fe+Si). The solubility limits of Mn in (Mn,Co)Al were determined
by the same authors by magnetic measurement [1938Koe2]. [1942Ven] used the same methods as
[1938Koe1], but with purer materials (Al 99.99%, Mn 99.9% and Co 99.1%) and established liquidus
isotherms and the liquidus surface projection in the Al-corner at compositions of more than 90 mass% Al.
[1944Ray] reported small solubility of Co in MnAl6 by microstructural analysis. [1947Ray] presented the
results of thermal analysis and metallographic observation along three vertical sections and three isothermal
sections, which are in the composition range 0 to 5.6 mass% Mn and 0 to 4.0 mass% Co. The alloys were
prepared from superpure aluminium, aluminium manganese master alloy and aluminium cobalt master
alloy; the impurity levels of the last two alloys being about 0.01 to 0.02 mass%. Using electrolytic Mn and
Co (both 99.9%) and pure Al, [1962Tsu] constructed a partial isothermal section at 900°C using the results
of magnetic measurements but the concentration scale was uncertain. Based on earlier work, using newer
versions of the binary boundary systems and pure materials (99.9% Co, 99.99% Mn and 99.99% Al),
Gödecke and Köster [1972Goe] performed a comprehensive study of the system using thermal analysis and
metallography. The experimental details were not given. Apart from [1938Koe1] and [1942Ven], the above
works agree well or complement each other. However, more recent studies by [1998Kai] indicate that the
phase equilibria in the ternary system are more complex. Previous studies had assumed a continuous solid
solution between the CoAl (B2) phase and the ( Mn) (A2) phase. [1998Kai] prepared diffusion couples that
were annealed in sealed quartz tubes at temperatures between 1000 and 1200°C. Using EDS, the critical
compositions of the A2/B2ordering transition between the two phases were determined from concentration-
penetration curves. They found that both a continuous and a discontinuous transition from A2 to B2 exists
between the two phases, resulting in the presence of an A2+B2 region at certain compositions and
temperatures. Isothermal sections for Al contents less than 50 mole % at 1000, 1050, 1100 and 1200°C and
an isopleth between CoAl-Mn were presented. Several works [1962Tsu, 1971Web, 1981Sol1, 1981Sol2,
1983Kue] contributed to the crystal structure of the Heusler alloy MnCo2Al.
Binary Systems
The Al-Co and Al-Mn binary systems were taken from the MSIT binary evaluation programme, [2003Gru,
2003Pis]. The Co-Mn system was accepted from [Mas2].
Solid Phases
Solid phases are presented in Table 1. These include a ternary phase Mn2Co4Al62 ( ) having a small
homogeneity range [1972Goe]. [1972Goe] had suggested a continuous solid solution between CoAl, and
( Mn) at temperatures greater than 1000°C. However, as CoAl is ordered there must be an order/disorder
transition between CoAl and MnAl and ( Mn) somewhere in the ternary. Such a reaction was discovered
by [1998Kai], between CoAl and ( Mn), but there should also be one between CoAl and MnAl. [1981Sol2]
reports the occurrence of order-disorder transformations in the Heusler alloy MnCo2Al:
cF16 --- (990°C) --- cP2 ----(1250°C) ---- cI2
However, this would not be consistent with the work of [1972Goe] and [1998Kai], where it is suggested
that this composition would most likely result in a two-phase mixture of ( Co) and the cP2 phase. The
230
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Mn
Curie temperature of the MnCo2Al alloy was measured to be ~422°C [1983Kue, 1971Web]. A small
solubility of Co in MnAl6 was reported by [1944Ray].
Pseudobinary Systems
The CoAl-Mn section was reported to be pseudobinary by [1938Koe1]. However, this was found not to be
the case by [1972Goe] and [1998Kai].
Invariant Equilibria
A reaction scheme was constructed by [1972Goe] (Fig. 1). Details of the invariant points are listed in Table
2. In order to distinguish between the ordered and disordered variants of the phase, the ordered CoAl based
phase is given as ’. Also, in order to differentiate between the reactions involving the ( Mn) and Mn55Al45
phases in the Al-Mn binary, these phases have been designated as 1 and 2, respectively.
Liquidus Surface
A liquidus surface was constructed by [1972Goe] and is given in Fig. 2. Figure 3 shows an enlarged Al-rich
portion of the liquidus surface.
Isothermal Sections
Isothermal sections for 500, 800 and 900°C are given in Figs. 4-6 taken from [1972Goe]. Figures 7 and 9
show composite isothermal sections for 1000 and 1100°C taken from the work of [1972Goe] for Al contents
greater than 50 mole%, and from [1998Kai] for Al contents less than 50 mole%. Figures 8 and 10 show
partial isothermal sections for 1050 and 1200°C, respectively, for Al contents less than 50 mole%, taken
from [1998Kai]. In all cases, slight adjustments have been made to make the sections consistent with the
accepted binary phase diagrams. It should be noted that [1972Goe] did not distinguish between the M- and
O- modifications of Co4Al13, and hence they appear in the diagrams as the same phase.
Temperature – Composition Sections
Figures 11-15 show isopleths for 25, 40, 70, 85 and 95 mass% Al, respectively, taken from [1972Goe]. A
section at 45 mass% Mn was also presented by [1972Goe], but was found to be incompatible with
[1998Kai], hence, it is omitted here. Figure 16 shows the vertical section from CoAl-Mn taken from
[1998Kai]. Vertical sections were presented in [1938Koe1, 1947Ray, 1978Urs] but were found to be
incompatible with the above.
Notes on Materials Properties and Applications
On investigating the use of thin films of Mn60Al40 as a recording medium, it was found that substituting Mn
with Co increased the saturation magnetization by a factor of up to 2 for Mn55Co5Al40 [1991Mat].
References
[1938Koe1] Köster, W., Gebhardt, E., “The Cobalt - Manganese - Aluminium System” (in German), Z.
Metallkd., 30, 281-286 (1938) (Equi. Diagram, Experimental, 7)
[1938Koe2] Köster, W., Gebhardt, E., “The Magnetic Properties of the Cobalt - Manganese - Aluminium
Alloys” (in German), Z. Metallkd., 30, 286-290 (1938) (Equi. Diagram, Experimental, 7)
[1942Ven] Venturello, G., Predosa, P.B., “The Ternary Aluminium-Cobalt-Manganese System” (in
Italian), Atti Acad. Sci. Tor., Classe Sci. Fis. Mat. Nat., 77, 10-21 (1942) (Equi. Diagram,
Experimental, 19)
[1944Ray] Raynor, G.V., “The Effect on the Compound MnAl6 of Iron, Cobalt and Copper”, J. Inst.
Met., 70, 531-542 (1944) (Equi. Diagram, Experimental, 15)
231
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Mn
[1947Ray] Raynor, G.V., “The Constitution of the Aluminium-Rich Aluminium - Manganese - Cobalt
Alloys”, J. Inst. Met., 73, 521-536 (1947) (Equi. Diagram, Experimental, 19)
[1962Tsu] Tsuboya, I., Sugihata, M., “The Magnetic Properties of the K-Phase in Mn-Al-Co System”,
J. Phys. Soc. Japan, 17, 172 (1962) (Equi. Diagram, Crys. Structure, Experimental, 5)
[1966Rid] Ridley, N., “Defect Structures in Binary and Ternary Alloys Based on CoAl”, J. Inst. Met.,
94, 255-258 (1966) (Crys. Structure, Equi. Diagram, Experimental, 9)
[1971Web] Webster, P.J., “Magnetic and Chemical Order in Heusler Alloys Containing Cobalt and
Manganese”, J. Phys. Chem. Solids, 32, 1221-1231 (1971) (Crys. Structure, Experimental,
28)
[1972Goe] Gödecke, T., Köster, W., “The Three Component Cobalt - Manganese - Aluminium
System” (in German), Z. Metallkd., 63, 422-430 (1972) (Equi. Diagram, Experimental, #,
11)
[1978Urs] Ursache, M., “Studies of the Possibilities of Using some Alloys of the Al-Mn-M System of
the Possibilities of Permanent Magnets” (in Romanian), Bul. Inst. Politeh. Bucaresti Chim.
Met., 40, 105-112 (1978) (Equi. Diagram, Experimental, 9)
[1981Sol1] Soltys J., Kozubski, R., “A Simple Model of the Order-Disorder Phase Transitions in
Ternary Alloys and its Application to Several Selected Heusler Alloys”, Phys. Status Solidi
A, 63, 35-44 (1981) (Crys. Structure, Theory, 23)
[1981Sol2] Soltys J., “X-ray Diffraction Research of the Order-Disorder Transitions in the Ternary
Heusler Alloys B2MnAl (B = Cu, Ni, Co, Pd, Pt)”, Phys. Status Solidi A, 66, 485-491 (1981)
(Crys. Structure, Experimental, 18)
[1983Kue] Kübler, T., Williams, A.R., Sommers, C.B., “Formation and Coupling of Magnetic
Moments in Heusler Alloys”, Phys. Rev. B, Condens. Matter., 28, 1745-1755 (1983) (Crys.
Structure, Experimental, 30)
[1991Mat] Matsumoto, M., Morisako, A. and Ohshima, J., “Properties of Ferromagnetic MnAl Thin
Films with Additives”, J. Appl. Phys., 69(8), 5172-5174 (1991) (Electr. Prop.,
Experimental, Magn. Prop., Mechan. Prop., 4)
[1996Bur] Burkhardt, U., Grin, J., Ellner, M., Grin, Yu., “Powder Diffraction Data for the Intermetallic
Compounds Co2Al5, Monoclinic m-Co4Al13 and Orthorhombic o-Co4Al13”, Powder Diffr.,
11(2), 123-128 (1996) (Crys. Structure, Experimental, 23)
[1996Fre] Freiberg, C., Grushko, B., Wittenberg, R., Reichert, W., “Once More about Monoclinic
Co4Al13”, Mater. Sci. Forum, 228-231, 583-586 (1996) (Crys. Structure, Experimental, 8)
[1996Gru] Grushko, B., Wittenberg, R., Bickmann, K., Freiburg, C., “The Constitution of Aluminium-
Cobalt Alloys between Al5Co2 and Al9Co2”, J. Alloys Compd., 233, 279-287 (1996) (Crys.
Structure, Equi. Diagram, Experimental, 18)
[1998Kai] Kainuma, R., Ise, M., Ishikawa, K., Ohnuma, I., Ishida, K., “Phase Equilibria and Stability
of the B2 Phase in the Ni-Mn-Al and Co-Mn-Al Systems”, J. Alloys Compd., 269, 173-180
(1998) (Equi. Diagram, Experimental, #, *, 19)
[1998Mo] Mo, Z.M., Sui, X.L., Kuo, K.H., “Structural Models of 2-Inflated Monoclinic and
Orthorhombic Al-Co Phases”, Metall. Mater. Trans., A29, 1565-1572 (1998) (Crys.
Structure, Experimental, 20)
[2003Gru] Grushko, B, Cacciamani, G., “Al-Co (Aluminium - Cobalt)”, MSIT Evaluation Program, in
MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart, to be published, (2003) (Equi. Diagram, Crys. Structure, Assessment, 72)
[2003Pis] Pisch, A., “Al-Mn (Aluminium-Manganese)”, MSIT Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart, to be published, (2003) (Equi. Diagram, Crys. Structure, Assessment, 40)
232
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Mn
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
( Al) < 660.452
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
Dissolves 0.62 at.% Mn at 658.5°C
( Al) hP2
P63/mmc
Mg
a = 269.3
c = 439.8
at 25°C, 20.5 GPa [Mas2]
( Co)(h)
1495-422
cF4
Fm3m
Cu
a = 354.46 [V-C2]. Dissolves 59.4 at.% Mn at
1161°C and ~17 at.% Al at 1400°C
( Co)(r)
< 422
hP2
P63/mmc
Mg
a = 250.71
c = 406.95
[V-C2, Mas2]
( Mn)
1138-1100
cF4
Fm3m
Cu
a = 386.2 [Mas2]. Dissolves ~4.5 at.% Co 1145°C
and 9.33 at.% Al at 1073°C.
( Mn)
1100-727
cP20
P4132
Mn
a = 631.52 [Mas2]. Dissolves 45 at.% Co at 546°C
and 41.79 at.% Al at 840°C
( Mn)
< 727
cI58
I3m
Mn
a = 891.26 at 25°C [Mas2].
, (Mn1-y,Coy)1-xAlx
( Mn)
1246-840
Mn55Al45
< 1177
’, CoAl
< 1640°C
cI2
Im3m
W
cP2
Pm3m
CsCl
a = 308.0
a = 306.3
a = 286.2
[Mas2]. Dissolves ~8 at.% Co at 1188°C
and 31.91 at.% Al at 1275°C
[V-C2]. Dissolves 65 at.% Al at 1048°C,
46 at.% Al at 870°C.
~0.2 < x < 0.537 for y = 1
at x = 0.5, y = 1
[1966Rid]
Co2Al5<1188
hP28
P63/mmc
Co2Al5
a = 767.2
c = 760.5
[1996Gru]
[1996Bur]
O-Co4Al13
< 1080
oP102
Pmn21
O-Co4Al13
a = 815.8
b = 1234.7
c = 1445.2
[1996Gru]
[1996Bur]
M-Co4Al13
1093-?
mC102
C2/m
Fe4Al13
a = 1517.3
b = 810.9
c = 1234.9
= 107.84°
[1996Fre]
233
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Mn
Z, CoAl3< 1158
mC* a = 3984.0
b = 814.8
c = 3223.0
= 107.97°
[1998Mo] often designated 2-Co4Al13.
Co2Al9 mP22
P121/c1
Co2 Al9
a = 855.65
b = 629.0
c = 621.3
= 94.76°
[V-C2]
MnAl12 cI26
Im3
Wal12
a = 747 [V-C2]
MnAl6< 705
oC28
Cmcm
MnAl6
a = 755.51
b = 649.94
c = 887.24
[V-C2]
, MnAl4< 693
hP586
P63/m
a = 2838.2
c = 1238.9
[2003Pis]
space group does not fit 100%, probably
P63
, MnAl4< 923
hP574
P63/mmc
MnAl4
a = 1998
b = 2467.3
c = 1389.7
[2003Pis]
Mn4Al11(h)
1002 - 916
oP160
Pnma
? [2003Pis]
Mn4Al11(r)
< 916
aP30
P1
Mn4Al11
a = 509.5 ± 0.4
b = 887.9 ± 0.8
c = 505.1 ± 0.4
= 89.35 ± 4°
= 100.47 ± 5°
= 105.08 ± 6°
[V-C2]
1, MnAl2< 1048
? [2003Pis]
2, Mn5Al8< 991
hR26
R3m
Cr5Al8
a = 1273.9
c = 1586.1
at 58 at.% Al [V-C2]
, Mn3Al2< 1312
hP2
P63/mmc
Mg
a = 270.5 to 270.5
c = 436.1 to 438
44.2 - 44.9 at.% Al [2003Pis]
MnCo
< 545°C
cI58
I3m
Mn
a = 628.1 [V-C2]
* , Mn12Co4Al62 oC156
Cmcm
Mn12Ni4Al62
? [1972Goe]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
234
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Mn
Table 2: Invariant Equilibria
Reaction T [°C] Type Phase Composition (at.%)
Al Co Mn
L + ( Co) ’ + ( Mn) 1152 U1 L
( Co)
’
( Mn)
8.0
3.1
12.7
2.5
32.2
39.2
36.8
36.7
59.8
57.7
50.5
60.8
L + Z Co2Al5 + Co4Al13 ~1090 U2 L
Z
Co2Al5Co4Al13
78.5
74.3
71.8
76.5
15.4
25.1
26.2
21.9
6.1
0.6
2.0
1.6
L + Co2Al5 + Mn4Al11(h) 1038 U3 L
Co2Al5Mn4Al11(h)
69.1
53.0
66.9
62.0
6.7
18.7
15.0
9.7
24.2
28.3
18.1
28.3
L + MnAl2 Mn4Al11(h)+
Co2Al5
990 U4 L
MnAl2Mn4Al11(h)
Co2Al5
78.8
69.8
73.0
72.3
1.1
2.1
0.3
3.6
20.1
28.1
26.7
24.1
+ Mn4Al11(h) Co2Al5 +
Mn4Al11(r)
980 U5
Mn4Al11(h)
Co2Al5Mn4Al11(r)
50.8
62.9
67.8
59.0
20.1
8.0
15.5
10.9
29.1
29.1
16.7
30.1
MnAl2 Mn4Al11(h) +
Mn4Al11(r) + Co2Al5
~935 E1 MnAl2Mn4Al11(h)
Mn4Al11(r)
Co2Al5
68.5
72.2
66.3
71.2
2.1
0.6
1.8
6.3
29.4
27.2
31.9
22.5
L + Mn4Al11(h) MnAl4 +
Co2Al5
920 U6 L
Mn4Al11(h)
MnAl4Co2Al5
85.3
76.1
79.5
78.8
0.5
0.4
0.3
1.3
14.2
23.5
20.2
19.9
Mn4Al11(h) + MnAl4Co2Al5 + Mn4Al11(r)
908 U7 Mn4Al11(h)
MnAl4Co2Al5Mn4Al11(r)
74.2
79.1
77.3
73.8
0.9
0.1
1.4
0.3
24.9
20.8
21.3
25.9
L + Co2Al5 + MnAl4 895 P1 L
Co2Al5MnAl4
89.1
78.4
79.6
79.5
0.7
1.7
0.2
1.1
10.2
19.9
20.2
19.4
L + Co2Al5 + Co4Al13 877 U8 L
Co2Al5
Co4Al13
90.6
76.4
78.9
76.9
1.3
4.6
2.2
7.7
8.1
19.0
18.9
15.4
Mn4Al11(h) Co2Al5 +
Mn4Al11(r) + Mn5Al8
868 E2 Mn4Al11(h)
Co2Al5Mn4Al11(r)
Mn5Al8
73.0
73.1
73.8
68.0
0.6
3.5
0.2
0.4
26.4
23.3
26.0
31.6
235
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Mn
L + Co4Al13 + Co2Al9 770 U9 L
Co4Al13
Co2Al9
96.2
76.0
78.9
81.5
1.0
12.8
2.8
17.6
2.8
11.2
18.3
0.9
L + MnAl4 + MnAl6 698 U10 L
MnAl4
MnAl6
98.0
79.8
78.9
85.3
0.3
0.6
3.4
0.2
1.7
19.6
17.7
14.5
L + MnAl6 + Co2Al9 680 U11 L
MnAl6Co2Al9
98.3
78.6
85.3
81.9
0.5
3.9
0.2
17.2
1.2
17.5
14.5
0.9
L (Al) + MnAl6 + Co2Al9 652 E3 L
(Al)
MnAl6Co2Al9
98.5
99.4
85.3
81.5
0.7
0.2
0.2
17.6
0.8
0.4
14.5
0.9
Reaction T [°C] Type Phase Composition (at.%)
Al Co Mn
236
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Mn
Fig
. 1
a:
A
l-C
o-M
n.
Rea
ctio
n s
chem
e, p
art
1
l(γ
Co
) +
δ´
1400
e 1
l +
δ1
(βM
n)
1190
p2
l +
δ´
ε1275
p1
Lδ´
+ (β
Mn)
ca.1
150
min
l +
(γC
o)
(βM
n)
1161
p5
l +
δ´
Co
2A
l 5
1188
p3
l +
εδ 2
1177
p4
(γM
n)+
δ 1(β
Mn)
1073
p11
l +
O
Co
2A
l 9
970
p1
5
l +
Z
O
1093
p9
l +
Co
2A
l 5 Z
1158
p6
δ 1+
(βM
n)
(γM
n)
1153
p7
L +
(γC
o)
(βM
n)
+ δ
´1152
U1
δ +
γ 1 C
o2A
l 5+
γ 2980
U5
L +
γ1
Co
2A
l 5+
Mn
4A
l 11(h
)990
U4
L +
δ
Co
2A
l 5+
γ 11038
U3
L +
Z
Co
2A
l 5+
Mca
.10
90
U2
l +
δ2
γ 1
1048
p1
2C
o2A
l 5 +
Z+
M
γ 1C
o2A
l 5+
Mn
4A
l 11(h
)+γ 2
ca.9
35
E1
l +
γ1
Mn
4A
l 11(h
)
1002
p1
3δ
+ C
o2A
l 5+
γ 1
γ 1+
Co
2A
l 5+
γ 2
(βM
n)+
(γC
o)+
δ´
δ+γ 2
+Co
2A
l 5
γ 1+C
o2A
l 5+
Mn
4A
l 11(h
)
δ 2 +
γ1
γ 2
991
p1
4
γ 1γ 2
+ M
n4A
l 11(h
)
957
e 3
Al-
Mn
Al-
Co-M
nC
o-M
nA
l-C
o
(δM
n)
(βM
n)
+ ε
1040
e 2
l +
Mn
4A
l 11(h
)µ
923
p1
6
L +
Mn
4A
l 11(h
)C
o2A
l 5+
µ920
U6
L+
Co
2A
l 5+
Mn
4A
l 11(h
)
Co
2A
l 5+
µ+M
n4A
l 11(h
)L
+C
o2A
l 5+
µ
L+
Co
2Al 5+
M
l +
Z
Y
1127
p8
l +
M
O
1080
p1
0
?
?
Co
2A
l 5+
Mn
4A
l 11(h
)+γ 2
L+
Co
2A
l 5+
γ 1
237
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Mn
Fig
. 1b
:
Al-
Co-M
n. R
eact
ion s
chem
e, p
art
2
ε(β
Mn)
+ δ
2
870
e 6
(γC
o)
(εC
o)
+ δ
´
415
e 10
l C
o2A
l 9+
(A
l)
657
e 8
(γC
o)+
(βM
n)
Co
Mn
545
p1
8
δ 2(β
Mn)
+ γ
2
840
e 7
Mn
4A
l 11(h
)+µ
Co
2A
l 5+
Mn
4A
l 11(r
)908
U7
l +
µ
MnA
l 6
705
p1
7
l M
nA
l 6+
(A
l)
508
e 9
Al-
Mn
Al-
Co-M
nC
o-M
nA
l-C
o
Mn
4A
l 11(h
)M
n4A
l 11(r
)+µ
910
e 4
Mn
4A
l 11(h
)γ 2
+M
n4A
l 11(r
)
895
e 5
Mn
4A
l 11(h
)γ 2
+C
o2A
l 5+
Mn
4A
l 11(r
)868
E2
L +
Co
2A
l 5 C
o4A
l 13 +
τ877
U8
L +
Co
4A
l 13
τ
+ C
o2A
l 9770
U9
L +
µτ
+ M
nA
l 6698
U1
0
L +
τ C
o2A
l 9 +
MnA
l 6680
U1
1
L C
o2A
l 9+
MnA
l 6 +
(A
l)652
E3
L +
Co
2A
l 5+
µτ
895
P1
Co
2A
l 5+
µ+τ
µ+C
o2A
l 5+
Mn
4A
l 11(r
)
L+
Co
2A
l 5+
τ
Mn
4A
l 11(h
)+C
o2A
l 5+
Mn
4A
l 11(r
)
L+
Co
4A
l 13+
τ
L +
µ+
τ
Co
4A
l 13
+τ
+ C
o2A
l 9
L+
τ+C
o2A
l 9
τ +
Co
2A
l 9+
MnA
l 6
L +
Co
2A
l 9 +
MnA
l 6
(Al)
+ C
o2A
l 9+
MnA
l 6
γ 2+
Co
2A
l 5+
Mn
4A
l 11(r
)
L +
τ +
MnA
l 6µ+
τ+ M
nA
l 6
Co
2A
l 5+
Co
4A
l 13+
τ
238
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Mn
10
20
30
10 20 30
70
80
90
Mn 35.00Co 0.00Al 65.00
Mn 0.00Co 35.00Al 65.00
Al Data / Grid: at.%
Axes: at.%
U3
U4
Co2Al5
U6
P1
U8
τ
µ
Mn4Al11(h)
U10
MnAl6
(Al)
E3U11
U9 Co2Al9
U2
Co4Al13 ?
?
e9
p17
p16
p13
p15
p10
p9
p8p6
Z
e8
20
40
60
80
20 40 60 80
20
40
60
80
Mn Co
Al Data / Grid: at.%
Axes: at.%
p3
(βMn)
p5
U11175
e1
1400
130012
50
δ1
12751300°C
ε
p2
p1
1250
δ'
1600
150013
50
1300
1200
1150
1125
1100
U9 Co2Al9p15 Co4Al13
p9
p8
p4
U2
Z
Co2Al5
MnAl6µP1p16
Mn4Al11(h)
p13
p12
MnAl2
U3
1025
9501000
1200
1225
p10
p6
1200
(Al)
(γCo)
δ2
Fig. 3: Al-Co-Mn.
Enlargment of the
liquidus surface of the
Al-rich corner
Fig. 2: Al-Co-Mn.
Liquidus surface
239
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Mn
20
40
60
80
20 40 60 80
20
40
60
80
Mn Co
Al Data / Grid: at.%
Axes: at.%
(αMn)
(αMn)+(βMn)
(βMn)
δ'+(βMn)
(γCo)
(γCo)+δ'
δ'
δ'+Co2Al5
Co2Al5
ZCo4Al13
Co2Al9τ
Co 2Al 5
+γ 2
δ'+γ2
γ2
Mn4Al11(r)
µ
MnAl6λ
MnCo
(Al)
20
40
60
80
20 40 60 80
20
40
60
80
Mn Co
Al Data / Grid: at.%
Axes: at.%
(βMn)
(γCo)
(γCo)+δ'
δ'
(βMn)+δ'
δ'+Co2Al5
Co2Al5
γ2+δ'
γ2
Co 2Al 5
+γ 2
Mn4Al11(r)
µ
L
τCo4Al13
Co2Al9
Z
Fig. 4: Al-Co-Mn.
Isothermal section at
500°C
Fig. 5: Al-Co-Mn.
Isothermal section at
800°C
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Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Mn
20
40
60
80
20 40 60 80
20
40
60
80
Mn Co
Al Data / Grid: at.%
Axes: at.%
(γCo)
(βMn) (γCo)+δ'
δ'
MnAl2+δ2
ε
δ'+Co2Al5
Z
Co2Al9
L
Co4Al13
µ
Mn4Al11(h)Mn4Al11(r)
MnAl2
Co2Al5
δ2
(βMn)+δ2
(βMn)+δ´
20
40
60
80
20 40 60 80
20
40
60
80
Mn Co
Al Data / Grid: at.%
Axes: at.%
ε
δ'+Co2Al5
γ1
Co2Al5
ZCo4Al13
L
Mn4Al11(h)
(γCo)
(βMn)
δ'
δ2
Fig. 6: Al-Co-Mn.
Isothermal section at
900°C
Fig. 7: Al-Co-Mn.
Isothermal section at
1000°C
241
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Mn
20
40
60
80
20 40 60 80
20
40
60
80
Mn Co
Al Data / Grid: at.%
Axes: at.%
ε
δ2
(βMn)
(γCo)
δ'
δ1
20
40
60
80
20 40 60 80
20
40
60
80
Mn Co
Al Data / Grid: at.%
Axes: at.%
ε
δ1
(βMn) (γCo)
ZCo2Al5
δ'+Co2Al5
Y
δ'
δ2
L
L+δ´
(αMn)
Fig. 8: Al-Co-Mn.
Isothermal section at
1050°C
Fig. 9: Al-Co-Mn.
Isothermal section at
1100°C
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Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Mn
20
40
60
80
20 40 60 80
20
40
60
80
Mn Co
Al Data / Grid: at.%
Axes: at.%
ε
δ1
(γCo)
δ'
?
L
10 20 30 40 50500
600
700
800
900
1000
1100
1200
1300
Mn 59.57Co 0.00Al 40.43
Mn 0.00Co 57.86Al 42.14Co, at.%
Tem
pera
ture
, °C
δ'
(βMn)+δ'
L+δ'L
ε
L+ε
δ'+ε
(βMn)+ε+δ'
ε+(βMn)
Fig. 10: Al-Co-Mn.
Isothermal section at
1200°C
Fig. 11: Al-Co-Mn.
Isopleth at 25 mass%
Al
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Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Mn
40 20500
600
700
800
900
1000
1100
1200
1300
Mn 42.40Co 0.00Al 57.60
Mn 0.00Co 40.70Al 59.30Mn, at.%
Tem
pera
ture
, °C
L
L+δ'
L+Co2Al5+δ'
δ'+Co2Al5+γ1
Co2Al5+δ'+γ2
L+δ'+γ1
δ+γ1+γ2
δ2+γ2
δ2
δ'+γ2γ2Co2Al5+δ´
L+δ2
10600
700
800
900
1000
1100
Mn 17.40Co 0.00Al 82.60
Mn 0.00Co 16.40Al 83.60Co, at.%
Tem
pera
ture
, °C
L
L+Co4Al13
L+Co4Al13+Co2Al9
L+Co2Al9
L+Co2Al9+τ
Co2Al9+(Al)+MnAl6
L+Co2Al9+MnAl6τ+Co2Al9+MnAl6
Co2Al9+MnAl6
L+
τ
L+Co2Al5 L+Co2Al5+Co4Al13
L+Co2Al5+Mn4Al11(h)
L+Mn4Al11(h)
L+τ+Co4Al9
µ+MnAl6
MnAl6+τ
τ+λ+MnAl6
L+µ+MnAl6L+µ
L+Co2Al5+τ
L+
τ+µ
680°C
652°C
770°C
877°C
λ+MnAl6
Fig. 12: Al-Co-Mn.
Isopleth at 40 mass%
Al
Fig. 13: Al-Co-Mn.
Isopleth at 70 mass%
Al
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Al–Co–Mn
600
700
800
900
1000
Mn 8.00Co 0.00Al 92.00
Mn 0.00Co 7.50Al 92.50Co, at.%
Tem
pera
ture
, °C
Co2Al9+(Al)+MnAl6
(Al)+MnAl6
652°C
680°C
770°C
L+Co2Al9+MnAl6
L+Co2Al9+τ L+Co2Al9
L
L+Co4Al13L+Co4Al13
+Co2Al9L
+τ+
µ
L+Co4Al13+τ
L+τL+µ
L+τ+MnAl6
600
700
800
Mn 2.50Co 0.00Al 97.50
Mn 0.00Co 2.40Al 97.60Co, at.%
Tem
pera
ture
, °C
L
L+τL+Co2Al9
680°C
552°C
Co2Al9+(Al)+MnAl6
(Al)+MnAl6
L+Co2Al9+MnAl6
L+µ
L+τ+µ
L+τ+MnAl6
L+τ+Mn2Al9
Fig. 14: Al-Co-Mn.
Isopleth at 85 mass%
Al
Fig. 15: Al-Co-Mn.
Isopleth at 95 mass%
Al
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Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Mn
10 20 30 40800
900
1000
1100
1200
1300
Mn Mn 0.00Co 50.00Al 50.00Co, at.%
Tem
pera
ture
, °C
(γMn)
(βMn)
δ'
L
δ1
Fig. 16: Al-Co-Mn.
Vertical section at
Mn-CoAl
246
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
Aluminium – Cobalt – Nickel
Tamara Velikanova, Kostyantyn Korniyenko, Vladislav Sidorko
Literature Data
This system is of pronounced industrial and scientific interest because of the mechanical properties of its
alloys [1995Mis, 1998Che, 2000Eda] and the formation of quasicrystalline phases. The relevant literature
has drastically increased by a factor of 8 since [1991Hub] has made the first critical evaluation of this system
under the MSIT Evaluation Program.
Phase equilibria in the range of aluminium content up to 50 at.% were studied by [1941Sch] using thermal
analysis, metallography, X-ray and magnetic techniques. The starting components were Al (99.9 mass%),
Co (97.6 mass%) and Ni (99.9 mass%). The alloys for investigation were prepared using high frequency
induction melting in Fe moulds. The partial liquidus surface, temperature-composition sections at constant
Ni/Co rations of 9/8, 8/2, 5/5, and 2/8 as well as isothermal sections at 1300, 1200, 1100, 1000, 900 and
25°C for the compositional range up to 50 at % Al were presented. The major result of this work was the
verification of a continuous range of solid solutions between the congruent isostructural CoAl and NiAl
phases ( ), which divides the ternary system to Co-CoAl-NiAl-Ni and Al-CoAl-NiAl. [1966Rid] confirmed
the phase by X-ray analysis of alloys along Ni/Co ratios of 8/2, 5/5, and 3/7. The Al-poor boundary of the
phase was determined at room temperature on slowly cooled alloys; its position agrees well with that of
[1941Sch]. The Al-rich corner of the Al-Co-Ni system was studied first by [1947Ray] who determined the
melting points of alloys with more than 95 at.% Al at constant 97.5 mass% (98.8 at.%) Al, the thermal
effects were measured whilst cooling the melts at a rate of 1-2°C·min-1 under simultaneous stirring. Alloys
annealed at 638-639.9, 643, 648.5 and 655°C and quenched were examined by their micrographs, which
established the three-phase solid state equilibrium (Al)+(Co2Al9)+(NiAl3). The temperature of the ternary
eutectic L (Al)+(Co2Al9)+(NiAl3) has been determined in [1976Kov].
The data published up to 1985 have been evaluated by [1991Hub] who presented a number of isothermal
sections, temperature-concentration cuts and the liquidus projection. [1993Pov] investigated phase
equilibria and presented isothermal sections at 1100 and 900°C at the content of Al up to 70 at.%.
Aluminium 99.99, cobalt 99.99, and nickel 99.97 mass% purities were used. The alloys were prepared by
arc melting in argon atmosphere. Specimens containing more than 50 at.% Al were sealed in quartz
ampoules and annealed at 1100°C for 300 h. Preliminary homogenization of other alloys was conducted in
an induction furnace under helium atmosphere at 1300°C for 100 h. Then the specimens were annealed at
1100 and 900°C in the quartz ampoules for 100 and 300 h, respectively, followed by water quenching and
investigated by X-ray diffraction and EMPA. Phase equilibria between (Ni), (Ni3Al) and phases were
investigated by [1994Jia, 1996Kai, 2001Kai] and [2001Oik1]. The alloys were prepared by induction
melting of appropriate mixtures of pure aluminium (99.7 mass%), cobalt (99.9 mass%) and nickel
(99.9 mass%) under an argon atmosphere. Then diffusion couples were made, sealed in evacuated
transparent quartz capsules and annealed at 627 to 1300°C for 1 to 1000 h [2001Kai] or at 800 to 1300°C
for 10 to 1000 h [1994Jia]. Microstructures of the annealed diffusion couples were examined by optical
microscopy and the concentration profiles across the / interface determined by EMPA. [1996Kai]
fabricated the melted ingots by hot-rolling at 1250 to ~1300°C into sheets. The specimens were studied by
optical microscopy, energy dispersion X-ray spectroscopy, transmission electron microscopy as well as
differential scanning calorimetry. [2001Oik1] took small specimens from the ingots and sealed them in
quartz capsules filled with argon. Solution heat treatment at 1300°C for 24 h, and subsequent equilibrating
treatments were carried out at 1100, 1200 and 1300°C for 1 to 24 h before the samples were quenched in
ice water. The samples were examined by metallography, EDX and X-ray diffraction. The tie lines and
phase boundaries at 1300, 1200, 1100, 900 and 800°C by [1994Jia, 2001Oik1], as well as isothermal
sections at 1300, 1100 and 900°C by [1996Kai] in the range of compositions 0-50 at.% Al are reported. The
influence of alloying elements on the morphological stability of the interface between the and phases
was studied at temperatures ranging from 900 to 1300°C [2001Kai].
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Al–Co–Ni
The structure and properties of the ternary compounds in the system have been reported starting from
[1989Tsa1, 1989Tsa2] in more than 90 publications. Most of them are dedicated to the structure of the
decagonal phase and its modifications. A great number of results on the investigations of the structure of
the decagonal phase and its modifications were published by [1990Yam, 1991Bur, 1991Hir1, 1991Hir2,
1991Zha, 1992Eda, 1992Eib, 1992Tsa, 1992Zha, 1993Bur, 1993Eda, 1993Fre, 1993Lue, 1993Ste1,
1993Ste2, 1994Est, 1994Gru, 1994Rey, 1995Hra, 1995Qin, 1995Rit, 1995Wue, 1996Rit1, 1996Sch,
1996Tsa, 1996Tsu, 1996Yam, 1997Che, 1997Dug, 1997Feu, 1997Gru1, 1997Gru2, 1997Hra, 1997Kal,
1997Qin, 1997Gru2, 1997Hra, 1997Qin, 1997Sai2, 1997Sai1, 1997Yam, 1997Yok, 1997Zha, 1998Hon,
1998Rit, 1998Sai, 1998Sat, 1998Wid, 1999Fis, 1999Gil, 1999Rit, 1999Wit, 2000Abe, 2000Bee, 2000Cer,
2000Dam, 2000Dro, 2000Doe, 2000Elh, 2000Fre, 2000Gra, 2000Hai, 2000Hra, 2000Kra1, 2000Kra2,
2000Liu, 2000Pra, 2000Rit, 2000Sai, 2000Shi, 2000Ste1, 2000Ste2, 2000Wei, 2000Yan, 2000Yur,
2001Hir1, 2001Hir2, 2001Hir3, 2001Hir4, 2001Hir5, 2001Hir6, 2001Hir7, 2001Tak, 2002Cer, 2002Hir1,
2002Hir2, 2002Kup, 2003Ebe]. The main experimental methods were TEM and HREM. They were applied
to rapidly cooled, as-cast, and annealed alloys. Information concerning the phase composition, phase
transformations, compositional ranges of ternary phases stability is reported by [1991Kek, 1994Eda,
1995Kal, 1995Wue, 1996Gru1, 1996Gru2, 1996Kai, 1997Bau, 1997Gru1].
Four isothermal sections of the Al-CoAl-NiAl subsystem at 1000, 850, 700 and 600°C were suggested by
[1991Kek] based on X-ray diffraction and light optical microscopy data for heat-treated samples. The
re-investigated phase equilibria in the Al-corner of ternary system is given by [1996Goe, 1997Goe1,
1997Goe2, 1997Goe3, 1997Yok, 1998Goe] and [1998Sch]. As starting components, they mostly used
99.999 pure aluminium from Heraeus, 99.9 pure cobalt from Johnson Matthey and 99.98 pure nickel from
Good fellow) The alloys were prepared by melting mixtures of the components in corundum crucibles, put
them into silica ampoules which were closed, evacuated and refilled with argon The specimens were heat
treated under different conditions and investigated by microstructural and X-ray diffraction techniques as
well as by magneto-thermal analysis (MTA) [1996Goe, 1997Goe1, 1997Goe2, 1997Goe3, 1998Goe,
1998Sch]; differential thermal analysis [1996Goe, 1997Goe1, 1997Goe2, 1997Goe3, 1998Sch], TEM
[1997Goe3, 1998Goe] and selected for selected areas by electron diffraction (SED) [1997Goe3]. Liquidus
surface projection of the ternary system in the range of 50-100 at.% Al was plotted by [1997Goe2,
1997Goe3] and [1998Goe]. Reaction scheme of the partial Al-CoAl-NiAl system was reported by
[1997Goe2, 1998Goe]. Isothermal sections at 1050°C in the range of compositions 0-9 at.% Ni and 72-87
at.% Al [1996Goe] as well as at 1150 and 1110°C in the range of cobalt content up to 35 at.% and aluminium
content from 55 to 100 at.% were plotted by [1997Goe2]. Isothermal sections of the Al-CoAl-NiAl
subsystem at 1170, 1100, 1050, 900, 850, 730, and 600°C (also valid for 400°C) are presented by
[1998Goe]. Temperature - composition sections were plotted: at constant Al contents of 57.5, 65, 70, 71.5,
72.5, 75, 78, 80, 85, 92.5, and 97 at.% as well as at constant Ni concentrations of 10, 13, and 19 at.%
[1996Goe, 1997Goe1, 1997Goe2, 1997Goe3] and [1998Sch]. Partial isothermal sections at 927 and 1027°C
including the decagonal 1 phase as well as isopleth along the Co:Ni = 1:1 were determined by [1997Yok].
[1997Yok] prepared alloys in the composition range 3 to 20 at.% Ni or Co by arc-melting in argon
atmosphere followed by annealing in vacuum for 48h just below melting temperature. Pre-alloyed ingots
were heated under flowing argon protection for 1 h at 1123°C, which is about 100 to 200°C above their
melting temperatures. Solidification process from a perfect liquid was examined by DTA and the specimens
were investigated by X-ray diffraction and LOM techniques.
Binary Systems
The Co-Ni system is accepted from [Mas2], Al-Ni from [2003Sal], Al-Co from [2003Gru]. In the Al-Co
phase diagram, according to [2003Gru], two alternative views [1996Goe, 1996Gru1] do exist in the range
of 12 to 34 at.% Co. The results of [1996Goe] are preferred because of the better agreement with the
constitution of the ternary system.
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Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Ni
Solid Phases
Crystallographic data on unary and binary phases as well as recently reported ternary ones are listed in Table
1. Two continuous ranges of solid solutions exist in the system, (between the isostructural NiAl and CoAl
phases of the CsCl type) and (between the ( Co) and (Ni) phases) [1941Sch, 1996Kai]. [1998Tia]
clarified the crystallographic properties of strengthening precipitates in the phase which are
supersaturated with Co and Ni. Precipitation was observed in specimens which have been aged at different
aging temperatures. The precipitates was the (Co) phase, but with different crystal structures depending on
the aging temperature. The Co phase has a face centered cubic structure at aging temperature higher than
700°C and its shape was rod-like, with the long axis parallel to the <111> direction of the matrix. At aging
temperatures below 600°C the precipitates of the (Co) phase take a hexagonal close packed structure, again
of rod-like shape with the long axis parallel to the <111> direction of the matrix. More recently [2001Tan]
confirmed the continuity of the solid solution by the measurements of its hardness and lattice parameter.
[1985Mor2] have shown that estimation of Al solubility in the fcc Co-Ni alloys based on semi-empirical
approach of [1985Mor1] developing the method of Darken and Gurry [1953Dar] does not lead to a
satisfactory result. The solubility of Co in Ni3Al increases from 8 at.% at 1300°C to 24 at.% at 900°C
[1996Kai]. The lattice parameter depends weakly on the Co content [1985Mis].
The ’ compound considered in [1980Lu] to be a ternary phase has been concluded in [1997Goe3,
1998Goe] to be the extension of binary Ni3Al4. Its structure is described as a superlattice built up by
stacking together of 54 CsCl type fundamental structural units.
The Co addition stabilizes the NiAl3 solid solution up to 900°C. The (Ni,Co)3Al4 solid solution
demonstrates a similar behavior. On the other hand, for the Y phase, dissolved Ni decreases the temperature
range of existence compared with the binary Al-Co system. So this phase exists in ternary system, as a
ternary phase below 1083°C. Moreover the ternary 2 phase, which possesses a crystal structure close to
that of Y phase, appears at lower temperature when Ni is increased, at constant Al content.
Three ternary phases with crystal structure different from that of the binary intermetallics are reported in the
Al-CoAl-NiAl subsystem. Their structure and specifications as well as their role in various phase reactions
has been subject of many studies in the last two decades.
The stable decagonal 1 phase, usually designated as D in the literature, was first reported by [1989Tsa1,
1989Tsa2] in the Co15Ni15Al70 alloy. The 1 phase is formed below 1175°C [1997Goe3, 1998Sch,
1998Goe] and is stable in a wide composition range from about 5 to 24 at.% Ni and 70 to 73 at.% Al)
[1998Goe, 1996Gru3]. The stability range of D significantly depends on temperature. Several structural
variants of the decagonal phase were reported depending on composition and annealing temperatures
[1992Eda, 1994Eda, 1994Gru1, 1994Hir, 1996Gru1, 1996Gru2, 1996Rit2, 1996Rit3, 1996Tsa, 1997Goe1,
1997Goe2, 1997Goe3, 1997Yam, 1997Zha, 2000Hir, 2001Hir1, 2001Hir2, 2001Hir3, 2001Hir4, 2001Hir5,
2001Hir6, 2001Hir7, 2002Hir2, 2002Hir1, 2002Hir2].
In addition, metastable or stable periodic structures with pseudo-decagonal (PD) symmetry [1998Gru2] and
monoclinic [1990Yam] or orthorhombic [1995Kal, 2002Sug] structures, closely related to the decagonal
phase were observed, too. Such structures commonly are addressed as “approximants”. In a number of
works the alloy phase transformations in the decagonal composition range were studied using in some cases
DTA or DSC methods supported by TEM [1995Kal, 1997Bau, 1998Gru2, 2000Doe, 2002Kup] and others.
The structural relationships in decagonal phase ranges are still not firmly established, in spite of the great
amount of information that has been generated.
The 2 ternary phase based on Co2NiAl9 composition forms at 880°C [1997Goe1]. Its crystal structure was
studied by [1998Gri] on single crystals and by [1999Got] using X-ray powder diffraction technique. It was
concluded that it cannot be considered as an approximant for the decagonal or icosahedral phases because
of the small size of the structural segments with pentagonal antiprisms and because of the absence of atoms
with icosahedral atomic environment.
[1997Goe3] found the ternary 3 phase with composition of Co18.5Ni14.0Al67.5 which forms in the solid
state through the ternary peritectoid reaction at 1002°C. The single phase region of the 3 phase shifts with
decreasing temperature to higher Ni contents. That happens between 1002 and 918°C where the transition
249
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Ni
plane in the ternary diagram is. The composition of this phase at low temperatures is far away from its initial
peritectoid composition.
Pseudobinary Sections
There is the pseudobinary CoAl-NiAl section, which triangulates the ternary diagram into the
Co-CoAl-NiAl-Ni and Al-CoAl-NiAl subsystems.
Invariant Equilibria
The reaction scheme in the Co-CoAl-NiAl-Ni subsystem is given in Fig. 1. The invariant quaternary
equilibrium of transition type L+(Ni) Ni3Al+NiAl proposed initially by [1941Sch] is more consistent with
the updated Al-Ni phase diagram [2003Sal] than that in [1991Hub]. The reaction scheme in the
Al-CoAl-NiAl subsystem is presented in Figs. 2a, 2b according to [1997Goe2, 1997Goe3, 1998Goe], the
temperature of the p5 reaction in the Al-Ni system is corrected after [2003Sal].
[1976Kov] confirmed the ternary eutectic by the experiments on directional solidification of the alloy, but
the melting temperature was determined to be 637.4°C. That is lower than that accepted in the present
assessment. Table 2 specifies the invariant equilibria in the investigated range of compositions according to
the data by [1997Goe2] and [1997Goe3] and taking the above corrections into account.
Liquidus Surface
The projection of the liquidus surface of the Co-CoAl-NiAl-Ni subsystem given in Fig. 3 takes into account
the data of [1941Sch, 1991Hub] with minor corrections applied to achieve consistency with the accepted
binary systems. The projection of the liquidus surface of the Al-CoAl-NiAl subsystem is presented in Fig.
4 and as enlargement in Fig. 5. It is based on [1997Goe2], [1997Goe3] and complemented with data from
[1947Ray] for composition range with more than 95 at.% Al.
Isothermal Sections
[1941Sch] published isothermal sections at 1300, 1200, 1100, 1000, 900 and 25°C. Thermodynamic
calculations of isothermal sections of the Al-Co-Ni system have been presented for 1327 and 527°C
[1975Kau], as well as for 1527, 1427, 1327 and 1277°C [1985Bar]. Both calculations are considered as
approximations by their authors. As they deviate from experimental points, the experimental data should be
preferred. The calculated sections at 1327 and 527°C [1975Kau] show identical features. The calculated
isothermal sections from 1527 to 1277°C [1985Bar] also reproduce the general features of the isotherms of
[1941Sch] and confirm the presence of a stable ,Al(Co,Ni) solid solution. The 1427°C section of
[1985Bar] implies that the critical tie line joining the phases (Co,Ni), liquid and ,Al(Co,Ni) forms at a
temperature above 1427°C, which contradicts the experimentally verified liquidus surface.
The isothermal sections of the phase diagram in the vicinity of the Co-Ni edge at 900 and 1100°C were
reinvestigated by [1993Pov, 1996Kai], and at 1300°C by [1996Kai]. The results for the microanalysis of
phase compositions in the above works are in agreement with the metallography data of [1941Sch] and the
data on / equilibria reported by [1994Jia].
Isothermal sections at 1300, 1100, 900°C are presented in Figs. 6, 7, 8 after [1996Kai], whose data are also
consistent with previous results included in [1941Sch, 1994Jia, 1993Pov]. The 25°C isothermal section
published in [1941Sch] is reproduced in Fig. 9. The data are corrected in accordance with the updated binary
phase diagrams.
The isothermal sections in the Al-rich part of the system at 1170, 1100, 1050, 900, 850, 730 and 600°C (the
latter is also valid for 400°C) are given in Figs. 10, 11, 12, 13, 14, 15, 16 after [1998Goe].
Figures 10, 11 exhibit phase equilibria at temperatures close to that of the ternary decagonal phase formation
in result of the quasibinary peritectic reaction at 1175°C. This phase is shown to be in equilibria only with
binary solid phases and liquid up to 1002°C, the temperature of the peritectoid formation of 3. At 900°C
the peritectic melting of the phase, a NiAl3 based solid solution phase, occures. At that temperature the
maximum solubility of Ni in 1 is observed at 70 at.% Al and corresponding to a Ni:Co ratio of 74:26
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(atomic ratio) (Fig. 13) [1998Goe], while [1996Gru3] at the practically same aluminium content (71 at.%)
and the same temperature indicates the higher solubility corresponding to the 83:17 Ni:Co ratio. The
addition of Cr stabilizes the solid solution phase in the ternary towards higher temperatures, compared
with the stability in binary alloys. (Ni,Co)3Al4 solid solution demonstrates similar behavior as one can see
in Figs. 14, 15, 16. On the other hand, for the Y phase, dissolved Ni decreases the temperature range of
existence compared with the binary Al-Co system, as one can see in Figs. 12, 13, 14, 15, 16. So this phase
exists in the ternary system, as a ternary phase below 1083°C. Moreover, the ternary 2 phase, which
possesses crystal structure close to that of Y phase, appears at lower temperature when Ni is increased, at
constant Al content (Figs. 14, 15, 16 and Fig. 2).
Temperature – Composition Sections
In Fig. 17 the Co20Ni80-Co11Ni44Al45 isopleth is reproduced from [1991Hub] based on the data for the
liquidus surface and the 1300, 1100, 900 and 25°C isothermal sections from [1941Sch], binaries and the
data from [1966Rid]. The Figs. 18, 19, 20, 21, 22 and 23 after [1997Goe2, 1998Sch] demonstrate the
complicated constitution of the Al-rich part of the Al-Co-Ni phase diagram.
Thermodynamics
[1991Kek] measured partial thermodynamic properties with emphasis on chemical potentials for the first
time for the ordered intermetallic Ni3Al phase with different additions of cobalt. The investigation was
carried out by vaporization measurements using Knudsen effusion mass spectrometry.
[1992Tso] developed a thermodynamic model based on the cluster variation method for the description of
solid phases for ternary systems, with emphasis on the characterizations of ternary ordered phases and
order-disorder transformations in alloys. The model is applied to study the equilibrium between (cF4
disordered phase) and ’ (cP4 ordered phase). It is shown that the present model is valid to describe
accurately the degree of long-range order, thermochemical potentials and phase diagram data within the
same free energy formalism and the same order of approximation.
[1998Bia] determined experimentally the specific heat Cp in the temperature interval from 1.5 to 36 K of
the decagonal Co13Ni16Al71 quasicrystal, which was cut from the Co15Ni15Al70 alloy, rapidly cooled to
room temperature after annealing at 1030°C for 5 d. A conventional relaxation method was used. Graphical
dependence is presented in Fig. 24.
[1998Gru1] measured the enthalpies of formation Hf of the ordered phase of compositions
(Co1-xNix)0.50Al0.50, (Co1-xNix)0.58Al0.42 with 0 x 1 and Co0.15Ni0.30Al0.55 with B2 (cP2) structure at
1073 K using differential solution calorimetry. The values of the enthalpy of formation are given in Table 3.
The authors noted that the composition dependence of the Hf can be described by the disorder model by
Wagner and Schottky.
The melting enthalpies Hfus, temperatures Tfus and entropies Sfus of quasiperiodic and periodic phases
are presented in Table 4 after [1999Hol] (DTA data).
The Bragg-Williams model for describing the composition and temperature dependence of thermodynamic
properties of ternary B2 (cP2) phase has been applied successfully by [2001Bre] for the phase in the
Al-Co-Ni system and boundary binaries Al-Ni and Al-Co. With the activities and the integral enthalpies of
formation as input data, values for the enthalpy and entropy of bonds between atoms were obtained. An
analytical expression was derived for the dependence of the concentration of point defects (vacancies and
antistructure atoms) on the composition and temperature.
Notes on Materials Properties and Applications
Mechanical properties of the Al-Co-Ni alloys are investigated from the end of fifties, in particular,
[1959Gua] investigated the influence of cobalt addition on the structure and hardness of the ’, Ni3Al phase.
The martensitic transformations in the ,Al(Co,Ni) phase in the alloys with aluminium content from 32 to
36 at.% quenched from high temperatures were studied by [1977Lit]. It was shown that introduction of
cobalt at constant aluminium content influences on morphology of martensite like decreasing of aluminium
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content, but to a much less degree. [1995Mis] obtained the dependence of the tensile flow stress on the strain
for the Co14Ni56Al30 (at.%). Hot-workability of phase is shown by [1996Kai] to be drastically improved
by the introduction of the phase i.e. the hot workability is significantly related to the phase diagram. It
was established that the temperature of the phase martensitic transformation in the + two-phase alloys
increases with increasing of the annealing temperature. Planar interfaces between ’ and phases in the
ternary Al-Co-Ni diffusional couples annealed at temperatures ranging from 900 to 1300°C were observed
by [2001Kai]. Interdiffusion in the ’ phase alloyed by up to 19 at.% Co was studied by [2002Gaz] in the
sections corresponding to 22 at.% Al, 3.5 or 16 at.% Co at temperatures between 900 and 1200°C. The
relations between the measured interdiffusion coefficients in the ordered ’ phase agree well with literature
data for both the ordered ’ phases and also for the disordered Al-Ni and Co-Ni solid solutions.
Mechanical, electronic, magnetic properties of the decagonal phase, point and other defects and diffusion
in this phase has been extensively studied. The reports are included in a number of monographs and
text books.
The single quasicrystal elastic moduli cij of a decagonal 1 phase were determined by [1998Che] using
resonance ultrasound spectroscopy at selected temperatures in the range between 5 and 290 K. It has been
found to be transversely elastically isotropic to (0.02±0.04) %. There are weak temperature dependences of
elastic moduli. The elastic Debye temperature calculated from cij measured at 5 K agrees well with the
thermodynamic Debye temperature obtained from a low-temperature specific-heat experiment.
Compression experiments were performed by [2000Eda] on an Al-Co-Ni decagonal single quasicrystals
grown by the floating zone method with different orientations of the compression axes: the tenfold direction
(c ), the twofold direction perpendicular to it (c ) and the direction inclined from the tenfold direction by
about 45° (c45°). For the samples inclined from the tenfold direction by about 45° a slip deformation was
observed on the twofold prismatic slip plane and in the tenfold slip direction. Long straight screw
dislocations were observed by TEM in the c45° compressed samples, indicating the existence of deep
Peierls-potential valleys for the dislocation glide. The c and c compressed samples showed slip
deformations along more than two types of pyramidal slip planes.
Data on electrical properties and magnetic behavior of the Al-Co-Ni alloys were obtained by [1991Mar,
1992Poo, 1992Sch, 1993Wan, 1997Goe3, 1998Sch, 1999Cal, 2001Oik1, 2001Oik2, 2002Liu, 2002Mor]
and [2002Mur]. In particularly, while investigating phase equilibria in the Al-CoAl-NiAl subsystem
[1997Goe3] and [1998Sch], performed the magneto-thermal analysis (MTA) by recording magnetic
susceptibility versus temperature using a Faraday type magnetic balance. From the magnetic behavior of
the alloys, the character of order-disorder transformations and the solid state formation of the , Ni3Al4phase was determined and the position of the phase homogeneity region could be clarified. In the
homogeneous region of the 1 phase no simple relationship of magnetic properties and composition is
found. [2001Oik1, 2001Oik2] investigated magnetic properties of the phase, which possesses
ferromagnetism.
Diffusion in the Al-Co-Ni alloys was studied by [2000Kho, 2000Zum, 2001Kai] and [2002Gaz].
Self-diffusion of 57Co in decagonal quasicrystals was investigated as a function of the temperature by
means of the radioactive tracer method [2000Kho]. In combination with serial sectioning, diffusivities were
measured over a large temperature range from 459 to 1000°C. Using the same method, [2000Zum]
measured the diffusion coefficient of 60Co in a single decagonal Co16.0Ni11.8Al72.2 quasicrystal. The results
are discussed together with data on similar diffusion investigations on icosahedral quasicrystals, and a
diffusion mechanism via vacancies is suggested.
Miscellaneous
Partitioning of Co between the , and phases at 800 to 1300°C were studied by [1994Jia] using
diffusion couples. The compositional dependence of the partition coefficients between and phases at
1100°C is shown in Fig. 25 after [1994Jia].
Dependences of the lattice parameters of the ,Al(Co,Ni) solid solutions on the aluminium content is
presented in Fig. 26 after [1966Rid]. The density measurements reveal that the steep drops in lattice
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parameters which take place when the aluminium content exceeds ~50 at.%, are accompanied by the
omission of atoms from the lattice.
[2000Wid] extended the generalized pseudo-potential theory of interatomic potentials in binary
transition-metal aluminides to the ternary system, and applied the first-principle pair potential calculation
to the aluminium-rich corner for Al-Co-Ni alloys. The results reproduce many features of the known phase
diagram, placing known stable and metastable structures on or near the convex hills of the
energy-composition plots.
The generalized vibrational density of states (GVDOS) was determined by [1996Mih] for decagonal
Co15Ni15Al70 using cold neutron inelastic scattering techniques. A computer modeling of the GVDOS was
proposed using realistic pair potentials. [1999Yam] studied the relation between the electron concentration
and anomalous dip appearing on the [110]TA1 phonon branch of the 1 phase with B2 (cP2) structure in
Ni-Al and established that by substituting Ni by Co, the dip-positions shifts toward the Brillouin zone
center. The obtained results indicate clearly that the dip is not any precursor of the martensitic transition but
a reflection of the electronic property in the 1 phase
[2000Elh] analyzed the experimentally measured temperature dependence of the phonon density of states
(DOS) in the decagonal phase obtained by [1997Dug] in the range 27 to 827°C, assuming that the
relationship between the DOS at different temperatures can be expressed in terms of frequency shifts of the
phonon modes. It was concluded that the temperature-dependent frequency shifts are anomalously large at
high temperatures, increasing significantly the vibrational entropy. The authors expect that this contribution
can not be neglected in the competition between quasicrystals and related crystalline phases.
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Al–Co–Ni
[1996Gru1] Grushko, B., Wittenberg, R., Bickmann, K., Freiburg, C., “The Constitution of
Aluminium-Cobalt Alloys Between Al5Co2 and Al9Co2”, J. Alloys Compd., 233, 279-297
(1996) (Crys. Structure, Equi. Diagram, Experimental, #, *, 18)
[1996Gru2] Grushko B., Holland-Moritz D., Bickmann K., “Decagonal Quasicrystals in Al-Co and
Ternary Aloys Containing Cu and Ni”, J. Alloys Compd., 236, 243-252 (1996) (Equi.
Diagram, Experimental, 41)
[1996Gru3] Grushko B., Holland-Moritz D., “High-Ni Al-Ni-Co Decagonal Phase”, Scr. Mater.,
35(10), 1141-1146 (1996) (Experimental, Crys. Structure, 19)
[1996Kai] Kainuma, R., Ise, M., Jia, C.C., Ohtani, H., Ishida, K., “Phase Equilibria and
Microstructural Control in the Ni-Co-Al”, Intermetallics, 4, S151-S158 (1996) (Crys.
Structure, Equi. Diagram, Experimental, Mechan. Prop., 20)
[1996Mih] Mihalkovic, M., Dugain, F., Suck, J.-B., “Vibration Density of States Decagonal
Al70Co15Ni15”, J. Non-Cryst. Solids, 205-207, 701-705 (1996) (Crys. Structure,
Experimental, 17)
[1996Pau] Paufler, P., Faber, J., Zahn, G., “X-Ray Single Crystal Diffraction Investigation on
Ni1+xAl1-x”, Acta Crystallogr., Sect. A: Found. Crystallogr., A52, C319 (1996) (Crys.
Structure, Experimental, 3)
[1996Rit1] Ritsch, S., Beeli, C., Nissen, H.-U., Gödecke, T., Scheffer, M., Lück, R., “Highly Perfect
Decagonal Al-Co-Ni Quasicrystals”, Philos. Mag. Lett., 74(2), 99-106 (1996) (Equi.
Diagram, Experimental, 24)
[1996Rit2] Ritsch, S., Beeli, C., Nissen, H.-U., “One-dimentional Periodic Fivefold Al-Co-Ni
Quasicrystals”, Philos. Mag. Lett., 74(2), 203 (1996) (Crys. Structure, Experimental, 15)
[1996Rit3] Ritsch S., Ph. D. Thesis, ETH Zürich, (1996)
[1996Sch] Schreuer, J., Baumgarte, A., Estermann, M.A., Steurer, W., Reifler, H., “High-Temperature
Furnace for an Imaging-Plate Date-Acquisition System”, J. Appl. Cryst., 29, 365-370
(1996) (Experimental, Crys. Structure, 19)
[1996Tsa] Tsai, A.P., Fujiwara, A., Inoue, A., Masumoto, T., “Structural Variation and Phase
Transformations of Decagonal Quasicrystals in the Al-Ni-Co System”, Philos. Mag. Lett.,
74(4), 233-240 (1996) (Crys. Structure, Experimental, 11)
[1996Tsu] Tsuda, K., Nishida, Y., Saitoh, K., Tanaka, M., Tsai, A.P., Inoue, A., Masumoto, T.,
“Structure of Al-Ni-Co Decagonal Quasicrystals”, Philos. Mag., A74, 697 (1996) (Crys.
Structure, Experimental, 16)
[1996Vik] Viklund P., Haeussermann, U., Lidin, S., “NiAl3: a Structure Type of its Own?”, Acta
Cryst., Sect. A: Found Crystallogr., A52, C-321 (1996) (Crys. Structure, Experimental,
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[1996Yam] Yamamoto, A., “Crystallography of Quasiperiodic Crystals”, Acta Crystallogr., Sect. A:
Found. Crystallogr., 52, 509-560 (1996) (Calculation, Crys. Structure, Review, 211)
[1997Alb] Albers,M.; Kath, D.; Hilpert, K., “Thermodynamic Activities and Phase Boundaries for the
Alloys of the Solid Solution of Co in Ni3Al”, Metall. Mater. Trans. A, 28A, 2183-2188
(1997) (Equi. Diagram, Experimental, Thermodyn., 25)
[1997Bau] Baumgarte, A., Schreuer, J., Estermann, M.A., Steurer, W., “X-ray Diffraction Study of
Decaprismatic Al-Co-Ni Crystals as a Fuction of Composition and Temperature”, Philos.
Mag. A, 75(6), 1665-1675 (1997) (Crys. Structure, Experimental, 14)
[1997Bou] Bouche, K., Barbier, F., Coulet, A., “Phase Formation During Dissolution of Nickel in
Liquid Aluminium”, Z. Metallkd., 88 (6), 446-451 (1997) (Thermodyn., Experimental, 15)
[1997Che] Chen, L.F., Wang, L.M., Guo, Y.X., Ewing, R.C., “Ion Irradiation-Induced Phase
Transformation in Al-Cu-Co-Ge Decagonal Quasicrystal”, Nucl. Instr., Meth. Phys. Res. B.,
127/128, 127-131 (1997) (Crys. Structure, Experimental, 14)
[1997Dug] Dugain, F., Mihalkovich, M., Suck, J.-B., “Temperature Dependence of the Generalized
Vibrational density of States of Al70Co15Ni15 and Al62Co15Cu20Si3”, Mater. Sci. Eng. A.,
226/228, 967 (1997) (Experimental, Crys. Structure, 13)
257
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Al–Co–Ni
[1997Feu] Feuerbacher, M., Bartsch, M., Grushko, B., Messerschmidt, U., Urban, K., “Plastic
Deformation of Decagonal Al-Ni-Co Quasicrystals”, Philos. Mag. Lett., 76(6), 369-376
(1997) (Crys. Structure, Experimental, 21)
[1997Goe1] Gödecke, T., Ellner, M., “Phase Equilibria in the Al-rich Portion of the Ternary System
Co-Ni-Al at 75 and 78 at.% Al”, Z. Metallkd., 88(5), 382-389 (1997) (Equi. Diagram,
Experimental, Review, 49)
[1997Goe2] Gödecke, T., “Liquidus Surface and Phase Equilibria with Participation of Liquid in the
System Al-AlCo-AlNi” (in German), Z. Metallkd., 88(7), 557-569 (1997) (Equi. Diagram,
Experimental, Review, 30)
[1997Goe3] Gödecke, T., Scheffer, M., Lück, R., Ritsch, S., Beeli, C., “Formation and Phase Bondaries
of (Co,Ni)3Al4 and the Ternary X Phase in the Al-AlCo-AlNi System”, Z. Metallkd., 88(9),
687-697 (1997) (Equi. Diagram, Experimental, 14)
[1997Gru1] Grushko, B., Holland-Moritz, D., “Decagonal Quasicrystals in Al-Co, Al-Ni and their
Ternary Alloys”, Mater. Sci. Eng. A, 226-228, 999-1003 (1997) (Crys. Structure, Equi.
Diagram, Experimental, 19)
[1997Gru2] Grushko, B., Holland-Moritz, D., “Quasicrystals and Related Structures in Al-Co-Ni”, J.
Alloys Comp., 262-263, 350-355 (1997). (Crys. Structure, Experimental, 34)
[1997Hra] Hradil K., Frey F., Grushko B., “Single Crystal Neutron Diffraction of Decagonal
Al72.5Co11Ni16.5”, Z. Kristallogr., 212, 89-94 (1997) (Crys. Structure, Experimental, 18)
[1997Kal] Kalning, M., Kek, S., Krane, H.G., Dorna, V., Press, W., Steurer, W., “Phason-Strain of the
Twinned Approximant to the Decagonal Quasicrystal Al70Co15Ni15: Evidence for a
One-dimensional Quasicrystal”, Phys. Rev. B, 55(1), 187-192 (1997) (Crys. Structure,
Experimental, 25)
[1997Poh] Pohla, C., Ryder, P.L., “Crystalline and Quasicrystalline Phases in Rapidly Solidified Al-Ni
Alloys”, Acta Mater., 45, 2155-2166 (1997) (Experimental, Crys. Structure, 48)
[1997Pot] Potapov, P.L., Song, S.Y., Udovenko, V.A., Prokoshkin, S.D., “X-Ray Study of Phase
Transformations in Martensitic Ni-Al Alloys”, Metall. Mater. Trans. A, 28A, 1133-1142
(1997) (Crys. Structure, Experimental, 40)
[1997Qin] Qin, Y., Wang, R., “Ar Ion Irradiation Effects in an Al70Co15Ni15 Decagonal Quasicrystal”,
Radiat. Eff. Def. Solids, 140, 335-349 (1997) (Crys. Structure, Experimental, Thermodyn.,
21)
[1997Sai1] Saitoh, K., Tsuda, K., Tanaka, M., Kaneko, K., Tsai, A.P., “Structural Study of an
Al72Ni20Co8 Decagonal Quasicrystal Using the High-angle Annular Dark-field Method”,
Jpn. J. Appl. Phys., 36(10B), L1400-L1402 (1997) (Crys. Structure, Experimental, 18)
[1997Sai2] Saitoh, K., Tsuda, K., Tanaka, M., “Structural Models for Decagonal Quasicrystals with
Pentagonal Atom-Cluster Columns”, Philos. Mag., A76, 135-150 (1997) (Crys. Structure,
Experimental, 14)
[1997Yam] Yamamoto, A., Weber, S., “Superstructure and Color Symmetry in Quasicrystals”, Phys.
Rev. Lett., 79(5), 861-864 (1997) (Crys. Structure, Experimental, 20)
[1997Yok] Yokoyama, Y., Note, R., Kimura, S., Inoue, A., Fukaura, K., Sunada, H., “Preparation of
Decagonal Al-Ni-Co Single Quasicrystal by Czochralski Method”, Mater. Trans., JIM, 38,
943-949 (1997) (Crys. Structure, Equi. Diagram, Experimental, 15)
[1997Zha] Zhang, B., Estermann, M., Steurer, W., “The Growth of Decagonal Al-Co-Ni Single
Crystals as a Function of Chemical Composition”, J. Mater. Res., 12(9), 2274-2280 (1997)
(Crys. Structure, Experimental, 20)
[1998Bia] Bianchi, A.D., Bommeli. F., Felder, E., Kenzelmann, M., Chernikov, M.A., Degiorgi, L.,
Ott, R., Edagawa, K., “Low-Temperature Thermal and Optical Properties of Single-Grained
Decagonal Al-Ni-Co Quasicrystals”, Phys. Rev. B, Cond. Matter, 58(6), 3046-3056 (1998)
(Experimental, Optical Prop., Thermodyn., 47)
[1998Che] Chernikov, M.A., Ott, H.R., Bianchi, A., Migliori, A., Darling, T.W., “Elastic Moduli of a
Single Quasicrystal of Decagonal Al-Ni-Co: Evidence for Transverse Elastic Isotropy”,
Phys. Rev. Lett., 80(2), 321-324 (1998) (Calculation, Crys. Structure, 23)
258
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Al–Co–Ni
[1998Goe] Gödecke, T., Scheffer, M., Lück, R., Ritsch, S., Beeli, C., “Isothermal Sections of Phase
Equilibria in the Al-AlCo-AlNi System”, Z. Metallkd., 89(10), 687-698 (1998) (Equi.
Diagram, Experimental, 40)
[1998Gri] Grin, Yu., Peters, K., “The Structure of the Ternary Phase Co2NiAl9”, Z. Kristallogr., 213,
364-368 (1998) (Crys. Structure, Experimental, 23)
[1998Gru1] Gruen, A., Henig, E.-T., Sommer, F., “Calorimetric Determination of the Enthalpy of
Formation and the Description of the Constitutional Defects of the Ordered (Ni,Co)1-yAlyPhase”, Z. Metallkd., 89, 591-597 (1998) (Experimental, Thermodyn., 21)
[1998Gru2] Grushko, B., Holland-Moritz, D., Wittmann, R., Wilde, G., “Transition Between Periodic
and Quasiperiodic Structures in Al-Ni-Co”, J. Alloys Compd., 280, 215-230 (1998) (Crys.
Structure, Equi. Diagram, Experimental, 33)
[1998Hon] Honal, M., Haibach, T., Steurer, W., “Geometrical Model of the Phase Transformations of
Decagonal Al-Co-Ni to its Periodic Approximant”, Acta Crystallogr., Sect. A: Found.
Crystallogr., A54, 374-387 (1998) (Crys. Structure, Experimental, 24)
[1998Ma] Ma, X.L., Köster, U., Grushko, B., “Al13Os4-type Monoclinic Phase and its Orthorhombic
Variant in the Al-Co System”, Z. Kristallogr., 213, 75-78 (1998) (Experimental, Crys.
Structure, 14)
[1998Mo] Mo, Z.M., Sui, X.L., Kuo, K.H., “Structural Models of 2-Inflated Monoclinic and
Orthorhombic Al-Co Phases”, Metall. Mater. Trans. A,, 29, 1565-1572 (1998)
(Experimental, Crys. Structure, 20)
[1998Rav] Ravelo, R., Aguilar, J., Baskes, M., Angelo, J.E., Fultz, B., Holian, B.L., “Free Energy and
Vibrational Entropy Difference Between Ordered and Disordered Ni3Al”, Phys. Rev. B,
57(2), 862-869 (1998) (Thermodyn., Theory, Calculation, 43)
[1998Rit] Ritsch, S., Beeli, C., Nissen, H.-U., Goedecke, T., Scheffer, M., Lueck, R., “The Existence
Regions of Structural Modifications in Decagonal Al-Co-Ni”, Philos. Mag. Lett., 78(2),
67-75 (1998) (Experimental, Crys. Structure, 22)
[1998Sai] Saitoh, K., Tsuda, K., Tanaka, M., “New Structural Model of an Al72Ni20Co8 Decagonal
Quasicrystal”, J. Phys. Soc. Jpn., 67(8), 2578-2581 (1998) (Experimental, Crys. Strucrure,
10)
[1998Sat] Sato, T.J., Hirano, T., Tsai, A.P., “Single Crystal Growth of the Decagonal Al-Ni-Co
Quasicrystal”, J. Cryst. Growth, 191, 545-552 (1998) (Crys. Structure, Experimental, 17)
[1998Sch] Scheffer, M., Goedecke, T., Lueck, R., Ritsch, S., Beeli, C., “Phase Equilibria of the
Decagonal AlCoNi Phase”, Z. Metallkd., 89(4), 270-278 (1998) (Equi. Diagram,
Experimental, 16)
[1998Sim] Simonyan, A.V., Ponomarev, V.I., Khomenko, N.Yu., Vishnyakova, G.A., Gorshkov, V.A.,
Yukhvid, V.I., “Combustion Synthesis of Nickel Aluminides”, Inorg. Mater., 34(6),
558-561 (1998), translated from Neorganicheskie Materialy, 34(6), 684-687 (1998) (Crys.
Structure, Experimental, 12)
[1998Tia] Tian W.H., Hibino M., Nemoto M., “Crystal Structure and Morphology of Co Precipitates
in B2-ordered (Ni,Co)Al”, Intermetallics, 6(2), 121-129 (Crys. Structure, Experimentlal)
[1998Wid] Widom, M., Moriarty, J.A., “First-Principles Interatomic Potentials for Transition-Metal
Aluminides. II. Application to Al-Co and Al-Ni Phase Diagram”, Phys. Rev. B, 58(14),
8967-8979 (1998) (Calculation, Crys. Structure, Equi. Diagram, 37)
[1999Cal] Calugaru, G., Craus, M.-L., Hopulele, I., “Structure and Magnetic Properties of Al-Ni-Co
Fine Particles Propduced by Spark Erosion”, Powder Met., 42(4), 367-368 (1999) (Crys.
Structure, Experimental, Magn. Prop., 11)
[1999Fis] Fisher, I.R., Kramer, M.J., Islam, Z., Ross, A.R., Kracher, A., Wiener, T., Sailer, M.J.,
Goldman, A.I., Canfield, P.C., “On the Growth of Decagonal Al-Ni-Co Quasicrystals from
the Ternary Melt”, Philos. Mag. B., B79(3), 425-434 (1999) Experimental, Crys. Structure,
18)
259
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Al–Co–Ni
[1999Gil] Gille, P., Dreier, P., Graber, M., Scholpp, T., “Large Single-Grain AlCoNi Quasicrystals
Grown by the Czochralski Method”, J. Cryst. Growth, 207, 95-101 (1999) (Crys. Structure,
Experimental, 14)
[1999Got] Gotzmann, K., Burkhardt, U., Ellner, M., Grin, Y., “Powder Diffraction Data for the
Homeotypic Intermetallic Compounds (Co,Ni)4Al13(h) and Co2NiAl9”, Powder Diffr.,
14(1), 64-68 (1999) (Crys. Structure, Experimental, 26)
[1999Hol] Holland-Moritz, D., Lu, I.-R., Wilde, G., Schroers, J., Grushko, B., “Melting Entropy of
Al-Based Quasicrystals”, J. Non-Cryst. Solids, 250-252, 829-832 (1999) (Experimental,
Thermodyn., 17)
[1999Rit] Ritsch, S., Beeli, C., Lueck, R., Hiraga, K., “Pentagonal Al-Co-Ni Quasicrystal with a
Superstructure”, Philos. Mag. Lett., 79, 225-232 (1999) (Crys. Structure, Experimental, 19)
[1999Wit] Wittmann, R., “Comparing Different Approaches to Model the Atomic Structure of a
Ternary Decagonal Quasicrystal”, Z. Kristallogr., 214, 501-505 (1999) (Assessment, Crys.
Structure, 29)
[1999Yam] Yamada, M., Nagasawa, A., Ueno, Y., Morii, Y., “[110]TA1 Phonon Dispersion Relation
of the 1-Phases in Ni-Co-Al Alloys”, J. Phys. Chem. Solids, 60, 1427-1429 (1999) (Crys.
Structure, Experimental, 9)
[2000Abe] Abe, H., Tamura, N., Bolloch, D., Moss, S.C., Matsuo, Y., Ishii, Y., Bai, J., “Anomalous
X-Ray Scattering Associated with Short-Range Order in an Al70Ni15Co15 Decagonal
Quasicrystal”, Mater. Sci. Eng. A, 294-296, 299-302 (2000) (Calculation, Crys. Structure,
Experimental, 12)
[2000Bee] Beeli, C., “High-Resolution Electron Microscopy of Quasicrystals”, Mater. Sci. Eng. A,
294-296, 23-28 (2000) (Crys. Structure, Experimental, 40)
[2000Cer] Cervellino, A., Haibach, T., Steurer, W., “Modeling Atomic Surfaces for the Al-Ni-Co
Basic Decagonal Phase”, Mater. Sci. Eng. A, 294-296, 276-278 (2000) (Crys. Structure,
Experimental, 11)
[2000Dam] Damson, B., Weller, M., Feuerbacher, M., Grushko, B., Urban, K., “Mechanical
Spectroscopy of i-Al-Pd-Mn and d-Al-Ni-Co”, Mater. Sci. Eng. A, 294-296, 806-809 (2000)
(Crys. Structure, Experimental, 18)
[2000Doe] Döblinger, M., Wittmann, R., Gerthsen, D., Grushko, B., “Structural Relationship and
Mutual Transformation of the Approximants of the Decagonal Al-Co-Ni Phase”, Mater.
Sci. Eng. A, 294-296, 131-134 (2000) (Crys. Structure, Experimental, 9)
[2000Dro] Drobek, T., Heckl, W.M., “Scanning Probe Microscopy Studies of the Surface of Decagonal
Quasicrystals in Ambient Conditions”, Mater. Sci. Eng. A, 294-296, 878-881 (2000) (Crys.
Structure, Experimental, 16)
[2000Eda] Edagawa, K., Ohta, S., Takeuchi, S., Kabutoya, E., Guo, J.Q., Tsai, A.P., “Plasticity of
Al-Ni-Co Decagonal Single Quasicrystals”, Mater. Sci. Eng. A, 294-296, 748-752 (2000)
(Crys. Structure, Experimental, 19)
[2000Elh] Elhor, H., Mihalkovic, M., Suck, J.-B., “Temperature Dependence of the Phonon Density
of States in Decagonal Al-Ni-Co”, Mater. Sci. Eng. A, 294-296, 658-661 (2000)
(Calculation, Crys. Structure, Experimental, 6)
[2000Fre] Frey, F., “Disorder Diffuse Scattering of Decagonal Quasicrystals”, Mater. Sci. Eng. A,
294-296, 178-185 (2000) (Crys. Structure, Experimental, 15)
[2000Gra] Graber, M., Barz, R.-U., Dreier, P., Gille, P., “Czochralski Growth and Characterization of
Large Decagonal Al-Co-Ni Quasicrystals”, Mater. Sci. Eng. A, 294-296, 143-146 (2000)
(Calculation, Crys. Structure, Experimental, 9)
[2000Hai] Haibach, T., Estermann, M.A., Cervellino, A., Steurer, W., “Phase Transition in
Quasicrystals - the Example of Decagonal Al-Co-Ni”, Mater. Sci. Eng. A, 294-296, 17-22
(2000) (Crys. Structure, Experimental, 30)
[2000Hir] Hiraga, K., Oshuna, T., Nishimura, S., “An Ordered Arrangement of Atom Columnar
Clusters in a Pentagonal Quasiperiodic Lattice of an Al-Ni-Co Decagonal Quasicrystals”,
Philos. Mag. Lett., 80(9), 653-659 (2000) (Crys. Structure, Experimental, 8)
260
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Al–Co–Ni
[2000Hra] Hradil, K., Scholpp, T., Frey, F., Haibach, T., Estermann, M.A., Capitan, M., “Neutron and
X-Ray Investigation of Disordered Quasicrystals”, Mater. Sci. Eng. A, 294-296, 303-307
(2000) (Crys. Structure, Experimental, Phys. Prop., 7)
[2000Kho] Khoukaz, C., Galler, R., Mehrer, H., Canfield, P.C., Fisher, I.R., Feuerbacher, M.,
“Diffusion of 57Co in Decagonal Al-Ni-Co-Quasicrystals”, Mater. Sci. Eng. A, 294-296,
697-701 (2000) (Crys. Structure, Experimental, Phys. Prop., 26)
[2000Kra1] Krajci, M., Hanfer, J., Mihalkovic, M., “Atomic and Electronic Structure of Decagonal
Al-Ni-Co Alloys and Approximant Phases”, Phys. Rev. B, 62(1), 243-255 (2000) (Crys.
Structure, Experimental, Phys. Prop., 57)
[2000Kra2] Krajci, M., Hafner, J., Mihalkovic, M., “Short-Range Order and the Electronic Structure of
Decagonal Al-Ni-Co”, Mater. Sci. Eng. A, 294-296, 548-552 (2000) (Calculation, Crys.
Structure, Experimental, 12)
[2000Liu] Liu, Y.C., Yang, G.C., Zhou, Y.H., “Decagonal Quasicrystal Growth in Chill Cast
Al72Ni12Co16 Alloy”, Mater. Res. Bull., 35, 857-866 (2000) (Crys. Structure, Experimental,
13)
[2000Pra] Pramanick, A.K., Mandal, R.K., Sastry, G.V.S., “Effect of Composition on the Streaking
and Diffuse Intensity in Decagonal Phase in Al70-xCo15Cux+yNi15-y System”, Mater. Sci.
Eng. A, 294-296, 173-177 (2000) (Crys. Structure, Experimental, 16)
[2000Rit] Ritsch, S., Radulescu, O., Beeli, C., Warrington, D.H., Lück, R., Hiraga, K., “A Stable
One-Dimensional Quasicrystal Related to Decagonal Al-Co-Ni”, Philos. Mag. Lett., 80(2),
107-118 (2000) (Crys. Structure, Experimental, 23)
[2000Sai] Saitoh, K., Tanaka, M., Tsai, A.P., Rossouw, J., “ALCHEMI Study of an Al72Ni20Co8
Decagonal Quasicrystal”, J. Phys. Soc. Jpn., 69(8), 2379-2382 (2000) (Crys. Structure,
Experimental, 17)
[2000Shi] Shimoda, M., Guo, J.Q., Sato, T.J., Tsai, A.P., “Surface Structure and Structural Transition
of Decagonal Al-Ni-Co Quasicrystal”, Surf. Sci., 454-456, 11-15 (2000) (Crys. Structure,
Experimental, 15)
[2000Ste1] Steurer, W., “Geometry of Quasicrystal-to-Crystal Transformations”, Mater. Sci. Eng. A,
294-296, 268-271 (2000) (Assessment, Crys. Structure, 12)
[2000Ste2] Steinhardt, P.J., “Penrose Tilings, Cluster Models and the Quasi-Unit Cell Picture”, Mater.
Sci. Eng. A, 294-296, 205-210 (2000) (Calculation, Crys. Structure, Experimental, 31)
[2000Yan] Yan, Y., Pennycook, S.J., “Z-Contrast Imaging of Decagonal Quasicrystals: an Atomistic
Model of Growth”, Mater. Sci. Eng. A, 294-296, 211-216 (2000) (Crys. Structure,
Experimental, 22)
[2000Yur] Yurechko, M., Grushko, B., “A Study of the Al-Pd-Co Alloy System”, Mater. Sci. Eng. A,
294-296, 139-142 (2000) (Crys. Structure, Equi. Diagram, Experimental, 16)
[2000Wei] Weidner, E., Hradil, K., Frey, F., Boissieu, M., Letoublon, A., Morgenroth, W., Krane,
H.G., Capitan, M., Tsai, A.P., “High Resolution X-Ray and Neutron Diffraction of Super-
and Disorder in Decagonal Al-Co-Ni”, Mater. Sci. Eng. A, 294-296, 308-314 (2000) (Crys.
Structure, Experimental, 8)
[2000Wid] Widom, M., Moriarty, J.A., “First-Principles Interatomic Potentials for Transition-Metal
Aluminides. III. Extention to Ternary Phase Diagram”, Phys. Rev. B, 62(6), 3448-3457
(2000) (Calculation, Crys. Structure, Equi. Diagram, 47)
[2000Zum] Zumkley, T., Guo, J.Q., Tsai, A.P., Nakajima, H., “Diffusion in Quasicrystalline Al-Ni-Co
and Al-Pd-Mn”, Mater. Sci. Eng. A, 294-296, 702-705 (2000) (Crys. Structure,
Experimental, Phys. Prop., 18)
[2001Bre] Breuer, J., Sommer, F., Mittemeijer, E.J., “Thermodynamic of B2 Intermetallic Compounds
with triple Defects: a Bragg-Williams Model for (Ni,Co)Al”, Metall. Mater. Trans. A, 32A,
2157-2166 (2001) (Equi. Diagram, Experimental, Thermodyn., 34)
[2001Doe1] Döblinger, M., Wittmann, R., Gerthsen, D., Grushko, B., “A Transition State Between
Quasicrystal and Approximant in the System Al-Ni-Co”, Ferroelectrics, 250, 241-244
(2001) (Crys. Structure, Experimental, 5)
261
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Al–Co–Ni
[2001Doe2] Döblinger, M., Wittmann, R., Grushko, B., “Metastable Transition States of Decagonal
Al-Ni-Co due to Inhibited Decomposition”, Phys. Rev., B64, 134208 (1-9) (2001) (Crys.
Structure, Experimental, 45)
[2001Est] Estermann, M.A., Lemster, K., Steurer, W., Grushko, B., Döblinger, M., “Structure
Solution of a High-order Decagonal Approximant Al71Ni14.5Co14.5 by Maximum Entropy
Patterson Deconvolution”, Ferroelectrics, 250, 245-248 (2001) (Crys. Structure,
Experimental, 10)
[2001Hir1] Hiraga, K., Ohsuna, T., Nishimura, S., Kawasaki, M., “An Ordered Arrangement of
Columnar Clusters of Atoms in a Rhombic Quasiperiodic Lattice in an Al-Ni-Co Decagonal
Phase”, Philos. Mag. Lett., 81(2), 109-115 (2001) (Experimental, Crys. Structure, 15)
[2001Hir2] Hiraga, K., Ohsuna, T., Nishimura, S., “The Structure of an Al-Co-Ni Pentagonal
Quasicrystal Studied by High-Angle Annual Detector Dark-Field Electron, Microscopy”,
Philos. Mag. Lett., 81(2), 123-127 (2001) (Crys. Structure, Experimental, 14)
[2001Hir3] Hiraga, K., Ohsuna, T., Nishimura, S., “A New Crystalline Phase Related to an Al-Ni-Co
Decagonal Phase”, J. Alloys Compd., 325, 145-150 (2001) (Crys. Structure, Experimental,
17)
[2001Hir4] Hiraga, K., Ohsuna, T., Nishimura, S., “Structure of One-Dimensional Al-Co-Ni
Quasicrystal Studied by Atomic-Scale Transmission Electron Microscopy”, Mater. Trans.,
42(8), 1830-1833 (2001) (Crys. Structure, Experimental, 23)
[2001Hir5] Hirada, K., Ohsuna, T., Yubuta, K., Nishimura, S., “The Structure of an Al-Co-Ni
Crystalline Approximant with an Ordered Arrangement of Atomic Clusters with Pentagonal
Symmetry”, Mater. Trans., 42(5), 897-900 (2001) (Crys. Structure, Experimental, 18)
[2001Hir6] Hiraga, K., Ohsuna, T., Nishimura, S., “The Structure of Type-II Al-Ni-Co Decagonal
Quasicrystal Studied ny Atomic-Scale Electron Microscopic Observations”, Mat. Technol.,
42(6), 1081-1084 (2001) (Crys. Structure, Experimental, 12)
[2001Hir7] Hiraga, K., Sun, W., Ohsuna, T., “Structure of a Pentagonal Quasicrystal in
Al72.5Co17.5Ni10 Studied by High-Angle Annular Detector Dark-Field Scanning
Transmission Electron Microscopy”, Mat. Trans., 42(6), 1146-1148 (2001) (Crys.
Structure, Experimental, 19)
[2001Kai] Kainuma, R., Ichinose, M., Ohnuma, I., Ishida, K., “Formation of ´/ Interface
Morphologies in Ni-Al-X Ternary Diffusion Couples”, Mater. Sci. Eng. A, 312, 168-175
(2001) (Equi. Diagram, Experimental, Thermodyn., 21)
[2001Oik1] Oikawa, K., Ota, T., Gejima, F., Ohmori, T., Kainuma, R., Ishida, K., “Phase Equilibria and
Phase Transformations in New B2-Type Ferromagnetic Shape Memory Alloys of Co-Ni-Ga
and Co-Ni-Al Systems”, Mater. Trans., JIM, 42(11), 2472-2475 (2001) (Equi. Diagram,
Experimental, Magn. Prop., 16)
[2001Oik2] Oikawa, K., Wulff, L., Iijima, T., Gejima, F., Ohmori, T., Fujita, A., Fukamichi, K.,
Kainuma, R., Ishida, K., “Promising Ferromagnetic Ni-Co-Al Shape Memory Alloy
System”, Appl. Phys. Lett., 79(20), 3290-3292 (2001) (Crys. Structure, Magn. Prop., 15)
[2001Tak] Takakura, H., Yamamoto, A., Tsai, A.P., “The Structure of a Decagonal Al72Ni20Co8
Quasicrystal”, Acta Crystallogr., A57(4), 576-585 (2001) (Crys. Structure, Experimental,
38)
[2001Tan] Tan, Y., Shimoda, T., Mishima, Y., Suzuki, T., “Stoichiometry Splitting of Phase in
Ni-Al-Mn, Ni-Al-Co and Ni-Al-Fe Ternary Systems”, Mater. Trans., JIM, 42(3), 464-470
(2001) (Crys. Structure, Equi. Diagram, Experimental, Mechan. Prop., 16)
[2002Cer] Cervellino, A., Haibach, T., Steurer, W., “Structure Solution of the Basic Decagonal
Al-Co-Ni Phase by the Atomic Surfaces Modelling Method”, Acta Crystallogr., 58B, 8-33
(2002) (Crys. Structure, Experimental, 189)
[2002Doe] Döblinger, M., Wittmann, R., Gerthsen, D., Grushko, B., “Continuous Transition between
Decagonal Quasicrystal and Approximant by Formation and Ordering of Out-of-phase
Domains”, Phys. Rev., B65, 224201-(1-9) (2002) (Crys. Structure, Experimental, 39)
262
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
[2002Gru] Grushko, B., Döblinger, M., Wittmann, R., Holland-Moritz, D., “A Study of High-Co
Al-Ni-Co Decagonal Phase”, J. Alloys Comp., 342, 30-34 (2002) (Crys. Structure,
Experimental, 15)
[2002Gaz] Gazda, A., Rothova, V., Cermak, J., “Interdiffusion in Pseudobinary Sections of Ni3Al-Co
Ternary System”, Intermetallics, 10(9), 859-864 (2002) (Crys. Structure, Equi. Diagram,
Experimental, Phys. Prop., 25)
[2002Hir1] Hiraga, K., “The Structure of Quasicrystals Studied by Atomic-Scale Observations of
Transmission Electron Microscopy”, Adv. Imag. Electr. Phys., 122, 1-86 (2002)
(Assessment, Crys. Structure, 99)
[2002Hir2] Hirada, K., Ohsuna, T., Sun, W., Sugiuama, K., “The Structural Characteristics of Al-Co-Ni
Decagonal Quasicrystals and Crystalline Approximants”, J. Alloys Compd., 342, 110-114
(2002) (Crys. Structure, Experimental, 5)
[2002Kup] Kupsch, A., Meyer, D.C., Gille, P., Paufler, P., “Evidence of Phase Transition and
Measurement of Thermal Expansion in Decagonal Al-Co-Ni at Low Temperatures”,
J. Alloys Compd., 342(1-2), 256-260 (2002) (Crys. Structure, Phys. Prop., 13)
[2002Liu] Liu, C.T., Fu, C.L., Pike, L.M., Easton, D.S., “Magnetism-Induced Solid Solution Effects
in Intermatallic”, Acta Mater., 50, 3203-3210 (2002) (Calculation, Crys. Structure,
Experimental, Mechan. Prop., 21)
[2002Mor] Morito, H., Fujita, A., Fukamichi, K., Kainuma, R., Ishida, K., Oikawa, K.,
“Magnetocrystalline Anisotropy in Single-Crystal Co-Ni-Al Ferromagnetic Shape-Memory
Alloy”, Appl. Phys. Lett., 81(9), 1657-1659 (2002) (Experimental, Magn. Prop., 13)
[2002Mur] Murakami, Y., Shindo, D., Oikawa, K., Kainuma, R., Ishida, K., “Magnetic Domain
Structures in Co-Ni-Al Shape Memory Alloys Studied by Lorentz Microscopy and Electron
Holography”, Acta Mater., 50, 2173-2184 (2002) (Crys. Structure, Experimental, Phys.
Prop., 30)
[2002Sug] Sugiyama, K., Nishimura, S., Hirada, K., “Structure of a W-(AlCoNi) Crystalline Phase
Related to Al-Co-Ni Decagonal Quasicrystals, Studied by Single Crystal X-Ray
Diffraction”, J. Alloys Compd., 342, 65-71 (2002) (Crys. Structure, Experimental, 15)
[2003Ebe] Ebert, Ph., Kluge, F., Yurechko, M., Grushko, B., Urban, K., “Structure and Composition
of Cleaved and Heat-Treated Tenfold Surfaces of Decagonal Al-Ni-Co Quasicrystals”, Surf.
Sci., 523, 298-306 (2003) (Crys. Structure, Experimental, Phys. Prop., 36)
[2003Doe] Doeblinger, M., Wittmann, R., Gerthsen, D., Grushko, B., “Intermediate Stages of a
Transformation between Quasicrystal and an Approximant Including Nanodomain
Structures in the Al-Ni-Co System”, Phil. Mag., 83(9), 1059-1074 (2003) (Crys. Structure,
Experimental, 33)
[2003Gru] Grushko, B., Cacciamani, G., “Al-Co (Aluminium-Cobalt)”, MSIT Binary Evaluation
Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International
Services GmbH, Stuttgart, to be published (2003) (Equi. Diagram, Assessment, Crys.
Structure, 72)
[2003Sal] Saltykov, P., Cornish, L., Cacciamani, G., “Al-Ni (Aluminium-Nickel)”, MSIT Binary
Evaluation Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science
International Services GmbH, Stuttgart, to be published, (2003) (Equi. Diagram,
Assessment, Crys. Structure, 164)
263
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
660.452
CoxNiyAl1-x-y
cF4
Fm3m
Cu
a = 404.88 pure Al, T = 24°C [V-C]
x = 0, y = 0 to 0.004 [2003Sal]
, (Co1-x, Nix)
( Co) (h)
1495 - 422
(Ni)
< 1455
cF4
Fm3m
Cu a = 354.46
a = 352.40
a = 352.32
0 < x < 1
pure Co [V-C]
pure Ni, T = 25°C [1984Och, Mas2]
[V-C]
, (Co) (r)
422
hP2
P63/mmc
Mg
a = 250.71
c = 406.95
[V-C]
Co2Al9< 970
(Co1-xNix)2Al9
mP22
P21/a
a = 855.6
b = 629.0
c = 621.3
= 94.76°
[1950Dou]
5 at.% Ni, T = 850 to 750°C [1998Goe]
O-Co4Al13
< 1092
O-(Co1-xNix)4Al3
oP102
Pnm21
O-Co4Al13
a = 815.8
b = 1234.7
c = 1445.2
[1996Gru1, 1996Bur]
~1.5 at.% Ni, T = 600 to 900°C
M-Co4Al13
< 1090
M-(Co1-xNix)4Al13
mC102
C2/m
Fe4Al13
a = 1517.3
b = 810.9
c = 1234.9
= 107.84°
[1996Fre]
~1.5 at.%Ni, T =600 to 900°C [1998Goe]
Y
1083<T<1127
Y, solid solution
oI96
Immm
mC34
C2/m
Os4Al13
a = 1531.0
b = 1235.0
c = 758.0
a = 1707.1
b = 409.9
c = 749.1
= 116.17°
a = 1704.0
b = 409.0
c = 758.0
= 116.0°
[1998Ma]
[1996Gru1]
[1995Zha]
[1998Ma]
Maximum solubility of Ni is 6.5 at.%
at 850°C [1998Goe]
Z
< 1153
Z, solid solution
C-centred
monoclinic
a = 3984.0
b = 814.8
c = 3223.0
= 107.97°
[1998Mo]
~1.5at.% Ni, T = 600 to 1100°C [1998Goe]
4-5 at.% Ni [2003Gru]
264
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
Co2Al5< 1182
(Co1-xNix)2Al5
hP28
P63/mmc
Co2Al5
a = 767.2
c = 760.5
[1996Gru1, 1996Bur]
~5.5 at.% Ni, 750°C [1998Goe]
D2(Al-Co) decagonal n* = 800 ~Co27Al73, metastable [1997Gru1]
, CoAl
< 1640
, NiAl
< 1676
, (Co1-xNix)Al
cP2
Pm3m
CsCl
a = 285.7
a = 286.2
a = 285.9
a = 287.04
a = 287.26
a = 286.0
a = 287.0
a = 288.72(2)
a = 287.98(2)
a = 289.0
a = 289.7
a = 290.4
a = 291.2
a = 291.9
a = 293.2
a = 286.4
a = 287.3
a = 288.1
a = 288.2
a = 287.5
a = 286.8
a = 286.5
a = 286.4
a = 287.1
a = 287.5
a = 286.6
a = 285.6
a = 286.3
a = 286.7
a = 287.1
a = 287.0
a = 285.9
a = 285.5
a = 285.0
a = 290.2
a = 290.9
20 to 54 at.% Al [2003Gru]
52 at.% Al [1966Rid]
50 at.% Al [1966Rid]
43 at.% Al [1966Rid]
42 to 69.2 at.% Ni [Mas2]
57.7 at.% Ni [L-B]
46.6 at.% Ni [L-B]
[1987Kha]
63 at.% Ni [1993Kha]
50 at.% Ni [1996Pau]
54 at.% Ni [1996Pau];
T = 0°C [1971Cli]
T = 200°C [1971Cli]
T = 400°C [1971Cli]
T = 600°C [1971Cli]
T = 800°C [1971Cli]
T = 1000°C [1971Cli]
x = 0 to 1;
in the alloys annealed at T = 1000°C to
1200°C (7 d), slowly cooled to 300°C and
quenched [1966Rid]:
Co12Ni48Al40
Co11Ni44Al45
Co10Ni40Al50
Co9.8Ni39.2Al51
Co9.6Ni38.4Al52
Co9.4Ni37.6Al53
Co29Ni29Al42
Co12Ni48Al40
Co27Ni27Al46
Co25Ni25Al50
Co23Ni23Al52
Co22.5Ni22.5Al55
Co39.2Ni16.8Al44
Co36.4Ni15.6Al48
Co35Ni15Al50
Co34.65Ni14.85Al50.5
Co32.9Ni14.1Al53
Co32.2Ni13.8Al54
Co31.15Ni13.35Al55.5
33 at.% Co, T = 600°C [1971Cli]
33 at.% Co, T = 800°C [1971Cli]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
265
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
, NiAl3< 856
, (Ni1-xCox)Al3
oP16
Pnma
NiAl3
oP16
Pnma
CFe3
a = 661.15
b = 736.64
c = 481.18
a = 661.3(1)
b = 736.7(1)
c = 481.1(1)
a = 659.8
b = 735.1
c = 480.2
[L-B]
[1996Vik]
[1997Bou, V-C]
Maximum solubility of Co is ~10 at.%,
at T = 850°C [1998Goe]
, Ni2Al3< 1138
, (NixCo1-x)2Al3
hP5
Pm3m1
Ni2Al3
a = 403.63
c = 490.65
a = 402.8
c = 489.1
36.8 to 40.5 at.% Ni [Mas2]
[L-B]
[1997Bou, V-C]
4.6 at.% Co, T = 1050°C [1998Goe];
20 at.% Co, T = 900°C [1993Pov,
1998Goe];
18 at.% Co, T = 600 to 730°C [1998Goe]
’, Ni3Al4<702
’, (NixCo1-x)3Al4
cI112
Ia3d
Ni3Ga4
a =1140.8(1) [1989Ell, V-C]
Maximum solubility of Co is 22 at.% at
57 at.% Al [1998Goe]
Ni5Al3
<723
oC16
Cmmm
Pt5Ga3
a = 753
b = 661
c = 376
63 to 68 at.% Ni [1993Kha, Mas2];
at 63 at.% Ni [1993Kha]
’, Ni3Al
< 1372
(Ni1-xCox)3Al
cP4
Pm3m
Cu3Au
a = 356.6
a = 357.0
a = 356.77
a = 356.32
a = 357.92
a = 357.1
73 to 76 at.% Ni [Mas2];
[1952Tay],
[1984Och, 1959Gua],
[1986Hua],
disordered [1998Rav],
ordered [1998Rav];
15 at.% Co [1959Gua]
[1996Kai]:
8 at.% Co, T = 1300°C,
20 at.% Co, T = 1100°C,
24 at.% Co, T = 900°C
Ni2Al9 mP22
P21/c
Ni2Al9
a = 868.5(6)
b = 623.2(4)
c = 618.5(4)
= 96.50(5)°
Metastable;
[1988Li, 1997Poh]:
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
266
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
NixAl1-x
0.60 < x < 0.68
tP4
P4/mmm
AuCu
m**
a = 383.0
c = 320.5
a = 379.5
c = 325.6
a = 379.5
c = 325.6
a = 379.5
c = 325.6
a = 379.9 to 380.4
c = 322.6 to 323.3
a = 371.7 to 376.8
c = 335.3 to 339.9
a = 378.00
c = 328.00
a = 418
b = 271
c = 1448
= 90°
= 93.4°
= 90°
Martensite, metastable
[1993Kha]
62.5 at.% Ni [1991Kim]
63.5 at.% Ni [1991Kim]
66.0 at.% Ni [1991Kim]
64 at.% Ni [1997Pot]
65 at.% Ni [1997Pot]
[1998Sim]:
[1992Mur]
Ni2Al hP3
P3m1
CdI2
a*126
P1
a = 407
b = 499
a = 1252
b = 802
c = 1526
= 90°
= 109.7°
= 90°
Metastable
[1993Kha]
[1994Mur]
D1(Al-Ni) decagonal n 400 Metastable [1988He, 1988Li], Ni31Al69
[1997Gru1]
D4(Al-Ni) decagonal n 400 Metastable [1988He, 1988Li]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
267
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
* 1,
1175
decagonal
P10/mmm,
decagonal
P105/mmc,
decagonal
D1
P10
decagonal
(D1?)
D2
SI
SII
Dbf
Dcf
Dbg
Dag
Dcg
di = 339.3
d5 = 408.07
ij = 60°
i5 = 90°
i, j = 1 to 4
n 400
n 410
d1 = 475
d2 = 336
d3 = 336
d4 = 475
d5 = 817.1
12 = 69.295°
13 = 45°
14 = 41.410°
23 = 90°
24 = 45°
34 = 69.295°
i5=90° (i =1 to 4)
n 820
(Ordered
decagonal)
(Disordered
decagonal
Co-rich)
In Co15Ni15Al70, called as D [1989Tsa1]
Co20Ni10Al70, single-crystal [1990Yam];
the overal composition range Co22Ni5Al73
to Co5.5Ni24.5Al70 [1997Gru1];
Co15Ni15Al70, single-crystal cut from
annealed at 850°C 1 d ingot,
five-dimensional unit-cell parameters
[1993Ste1]:
Co5.5Ni24.5Al70, perfect structure of the
single crystal, 900 to 1100°C [1997Gru1]
Ni-rich, perfect structure of high
temperature modification [1998Rit]
in Co6.7Ni22.7Al70.6 alloy, at room
temperature,
five-dimensional unit cell parameters
[2002Cer]:
Co-rich modification [1998Rit]
Superstructures of D2(?) [1998Rit]
in Co12Ni18Al70 alloy, annealed at 900°C
48 h [2002Hir1], and in Co11Ni16.5Al72.5
alloy, annealed at 900°C (40 h) [2002Hir1];
in Co14.5Ni14.5Al71 alloy, annealed at
1000°C 65 h [2002Hir2];
in Co14.5Ni14.5Al71 alloy, annealed at
900°C 72 h [2002Hir1];
stable variants of decagonal phase in range
9.5 to 16 at.% Ni, 11 to 20 at.% Co, 70 to
72.5 at.% Al, in as-cast and annealed at 800
to 1000°C alloys
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
268
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
*n is a parameter of periodicity
< 900°C 1D
PD1
PD2
PD3
PD4
PD5
n = 3070
pseudo-decagonal
a = 3900
b = 800
c = 3800
a = 3900
b = 800
c = 3800
a = 3900
b = 800
c = 3800
a = 3900
b = 800
c = 3800
a = 3900
b = 800
c = 3800
one-dimensional quasicrystal, in range 18
to 22 at.% Co, 70-71.5 at.% Al;
in range 9.5 to 16 at.% Ni, 11 to 20 at.%
Co, 70 to 72.5 at.% Al in as-cast and
annealed at 800 to 1000°C alloys
[1998Gru2]
* 2,
< 880
oI96
Immm
a = 1206.46
b = 755.53
c = 1535.3
a = 1252
b = 802
c = 1526
Co2NiAl9, called as Y2 [1998Gri];
6 to 8.5 at.% Ni, 75 at.% Al [1998Goe];
Co17Ni8.2Al74.8, quenched after annealing
at 850°C 3 d [1998Gri]
Co19Ni6Al75, quenched after annealing at
600°C (30 d) [1998Gri]
* 3,
< 1002
orthorhombic (?)
triclinic d1 = 735
d2 = 583
d3 = 364
d1^d2 = 74.3°
d2^d3 = 80.5°
Co18.5Ni14.0Al67.5, called as X
[1991Kek], the overall composition range:
7 to 16 at.% Ni, 69 to 69.5 at.% Al
[1998Goe];
[1991Kek];
[1997Goe3]
“W-CoNiAl” Cm a = 3966.8
b = 815.8
c = 2339.2
= 90.05°
in Co20Ni7.5Al72.5 alloy annealed at 950°C
20 d [2002Sug]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
269
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
Table 2: Invariant Equilibria in the Al-CoAl-NiAl Subsystem
Reaction T [°C] Type Phase Composition (at.%)
Al Co Ni
L + 1 1175 p3(max) L
1
72
55
71
25
35
26
~3
10
~3
L + Co2Al5 + 1 1160 U2 L
Co2Al5
1
76.0
55.0
72.0
71.5
23.5
35.5
26.0
25.0
1.5
9.5
2.0
3.5
L + Co2Al5 Z + 1 1136 U3 L
Co2Al5Z
1
77.5
72.0
74.8
73.0
21.5
26.0
24.5
22.5
1.0
2.0
0.7
4.5
L + Z Y + 1 1080 U4 L
Z
Y
1
79.0
74.5
75.0
73.0
18.0
24
23.5
22.0
3.0
1.5
1.3
5.0
L + + 1 1048 U5 L
1
76.0
56.5
59.5
69.5
5.0
12.5
10.0
9.5
19.0
31.0
30.5
21.0
+ Co2Al5 + 1 3 1002 P1
Co2Al5
1
3
55
72.0
71.5
69.5
22.5
26.0
23.0
23.5
22.5
2
5.5
7.0
L + O-Co4Al13 Y + Co2Al9 950 U6 L
O-Co4Al13
Y
Co2Al9
87.5
76.0
75.5
82.0
9.5
22.5
22.0
16.5
3
1.5
2.5
1.5
+ 2 3 + 918 U7
1
3
56.0
70.0
69.5
59.5
13.5
14.0
15.0
9.5
30.5
16.0
15.5
31.0
L + Y 1 + Co2Al9 906 U8 L
Y
1
Co2Al9
85.0
75.5
73.5
82.0
6.7
18.0
16.0
13.0
8.3
6.5
10.5
5.0
L + + 1 900 P2 L
1
84.0
63.0
70.0
75.0
1.0
1.5
6.5
2.4
15.0
35.5
23.5
22.6
L + 1 Co2Al9 + 888 U9 L
1
Co2Al9
85.0
73.0
82.0
75.0
2.5
13.5
13.5
5.6
12.5
13.5
4.5
19.0
270
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
Table 3:Enthalpies of Formation Hf of the Ordered phase with Compositions (Co1-xNix)0.50Al0.50,
(Co1-xNix)0.58Al0.42 with 0 x 1 and Co0.15Ni0.30Al0.55 with B2 (cP2) Structure at 1073 K,
Referred to Solid Ni (Nis), Solid Co (Cos) and Liquid Al (All), [1998Gru1]
Y + 1 + Co2Al9 2 880 P3 Y
1
Co2Al9
2
75.5
73.0
82.5
75.0
18.0
16.5
13.0
16.5
6.5
10.5
4.5
8.5
1 + Co2Al9 2 + 860 U10 1
Co2Al9
2
73.0
82.5
75.0
75.0
14.0
13.0
16.0
10.0
13.0
4.5
9.0
15.0
+ 3 + ’ 850 P4
3
’
56.0
69.0
60.0
57.0
13.5
15.1
9.0
13.0
30.5
16.0
31.0
30.0
+ 3 Co2Al5 + ’ 750 U11
3
Co2Al5’
56.5
69.0
71.5
60.0
22.0
20.5
23.0
20.0
21.5
10.5
5.5
20.0
L Co2Al9 + (Al) + 643 E1 L
Co2Al9(Al)
97.3
91.8
99.6
75.2
0.2
13.0
0.1
0.4
2.5
5.2
0.2
24.4
Composition of the phase (B2) HfB2 [kJ mol-1] Reaction of formation
Co0.50Al0.50
Co0.42Ni0.08Al0.50
Co0.38Ni0.20Al0.42
Co0.29Ni0.29Al0.42
Co0.25Ni0.25Al0.50
Co0.20Ni0.38Al0.42
Co0.17Ni0.33Al0.50
Co0.15Ni0.30Al0.55
Co0.13Ni0.37Al0.50
Co0.08Ni0.42Al0.50
Ni0.50Al0.50
66.05 ± 0.05
66.31 ± 0.10
54.25 ± 0.08
55.10 ± 0.15
67.24 ± 0.06
57.39 ± 0.14
68.48 ± 0.06
66.73 ± 0.07
66.65 ± 0.32
70.04 ± 0.12
71.27 ± 0.13
Cos + All B2
Cos + Nis + All B2
Cos + Nis + All B2
Cos + Nis + All B2
Cos + Nis + All B2
Cos + Nis + All B2
Cos + Nis + All B2
Cos + Nis + All B2
Cos + Nis + All B2
Cos + Nis + All B2
Nis + All B2
Reaction T [°C] Type Phase Composition (at.%)
Al Co Ni
271
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
Table 4: Melting Enthalpies Hfus, Melting Temperatures Tfus and Melting Entropies Sfus of
Quasiperiodic and Periodic Phases [1999Hol]
Alloy Composition Heat Treatment Phase Hfus [kJ mol-1] Tfus [K (°C)] Sfus [J mol-1 K-1]
Co21.8Ni5.5Al72.7
Co18Ni9.5Al72.5
Co14.5Ni14.5Al71
Co18Ni7Al75
Co21Ni5Al74
1373 K (1100°C),
24 h
1273 K (1000°C),
119 h
1073 K (800°C),
75 h
1148 K (875°C),
90 h
1173 K (900°C),
190 h
D
D
D
Y
Z
13.1 ± 0.4
10.4 ± 0.3
10.3 ± 0.3
14.2 ± 0.4
14.4 ± 0.4
1440 ± 5
(1167 ± 5)
1383 ± 5
(1110 ± 5)
1400 ± 5
(1127 ± 5)
1368 ± 5
(1095 ± 5)
1405 ± 5
(1132 ± 5)
9.1 ± 0.6
7.5 ± 0.5
7.4 ± 0.5
10.4 ± 0.7
10.3 ± 0.8
Al-Co
l γ + β1400 e
1
Al-Co-Ni
L + γ β + γ´1369<T<1372 U1
Al-Ni
l + γ γ´
1372 p1
l γ + γ´
1369 e2
β + γ + γ´
Fig. 1: Al-Co-Ni.
Reaction scheme in
the partial Co - CoAl
- NiAl - Ni system
272
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
Fig. 2a: Al-Co-Ni. Reaction scheme in the Al - CoAl - NiAl subsystem
L + β τ1
1175 p3(max)
β + Co2Al
5+ τ
1τ3
1002 P1
Al-Co Al-Co-Ni Al-Ni
l + β δ1138 p
5
L + Y O-Co4Al13
1092 p7
l + Ζ Y
1127 p6
l + (Co2Al
5) Z
1153 p4
l + β Co2Al
5
1182 p2
L + Co2Al
5 Z + τ
11136 U
3
L + Z Y + τ1
1080 U4
β + τ1
τ3 + σ918 U
7
L + β δ + τ1
1048 U5
L + O-Co4Al
13Y + Co
2Al
9950 U
6
L + β Co2Al
5 + τ
11160 U
2
L + Y τ1 + Co
2Al
9906 U
8
L + O-Co4Al
13Co
2Al
9
970 p8
L + β τ1
L + β τ1
L Co2Al
5+ τ
1
β + Co2Al
5 + τ
1
L Z + τ1
Co2Al5 + Z + τ
1
Z + Y + τ1
L + Y τ1
L β + τ1β + δ + τ
1
β + τ1 + τ
3
Co2Al
5 + τ
1 + τ
3
β + Co2Al
5 + τ
3
L Y + Co2Al
9O-Co
4Al
13 + Y + Co
2Al
9
τ1 + τ
3+ δβ + τ
3+ δ
Y + τ1 + Co
2Al9 L τ
1 + Co
2Al
9
273
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
Fig. 2b: Al-Co-Ni. Reaction scheme in the Al - CoAl - NiAl subsystem
β + τ3 + δ β´850 P
4
Al-Co Al-Co-Ni Al-Ni
L+τ1
Co2Al9+ε888 U
9
Y+τ1+Co
2Al9
τ2
880 P3
L Co2Al
9+ (Al) + ε643 E
1
τ1+Co
2Al
9τ2+ε860 U
10
β + τ3 Co
2Al
5+ β´750 U
11
L + δ + τ1
ε900 P2
L + O-Co4Al
13Co
2Al
9
970 p8
L + τ1
ε
L + τ1
Co2Al
9
τ1 + Co
2Al
9 + ε
Y + τ1 + τ
2
β + τ3 + β´
τ3 + δ + β´
β + δ + β´
τ3 + Co
2Al
5+ β´ β + β´ + Co
2Al
5
Co2Al
9 + (Al) + ε
l (Al) + ε644 e
4
β + δ β´
702 p10
L + δ ε856 p
9
δ + τ1 + ε L + δ ε
Y + τ2 + Co
2Al
9
τ1
+ Co2Al
9+ τ
2
L Co2Al9
+ ε
τ1 + τ
2+ ε τ
2 + Co
2Al
9+ ε
274
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
20
40
60
80
20 40 60 80
20
40
60
80
Co Ni
Al Data / Grid: at.%
Axes: at.%
1460
1440
1420 14001380
1480
e1
1400
e2
1360
1440
14801520
p1
γ
β
εU1
10
20
30
10 20 30
70
80
90
Co 38.00Ni 0.00Al 62.00
Co 0.00Ni 38.00Al 62.00
Data / Grid: at.%
Axes: at.%
τ1
β
Co2 A
l9
ε
(Al)
Y
δ
O
mCo2Al5
p8
p7
p6p4
p2
P3
U6
U8
U9 P2
p9
p5
U5
U4
U3
U2
e4
E1
e3
700
750
800850
900
950
9501000
105011001150
1500
14001300
1200
1500
1400
1300
1150 1100
1250
1050
1000
950
Al
Fig. 3: Al-Co-Ni.
Liquidus surface of
the partial
Co-CoAl-NiAl-Ni
system with less than
35 at.% Al
Fig. 4: Al-Co-Ni.
Liquidus surface of
the partial
Co-CoAl-NiAl
system
275
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
Co 5.00Ni 0.00Al 95.00
Co 0.00Ni 5.00Al 95.00
Data / Grid: at.%
Axes: at.%
Co2Al9
(Al)
E1
e3
e4
ε
Al
20
40
60
80
20 40 60 80
20
40
60
80
Co Ni
Al Data / Grid: at.%
Axes: at.%
β
γ
γ´
γ´+β
γ+β
γ+γ´
β,NiAlβ,CoAl
Fig. 5: Al-Co-Ni.
Liquidus surface of
the Al-corner with
more than 95 at.% Al
Fig. 6: Al-Co-Ni.
Isothermal section of
the Co-CoAl-NiAl-Ni
partial system at
1300°C
276
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
20
40
60
80
20 40 60 80
20
40
60
80
Co Ni
Al Data / Grid: at.%
Axes: at.%
β β,NiAlβ,CoAl
γ
γ´
γ´+β
γ+γ´
γ+β
Fig. 7: Al-Co-Ni.
Isothermal section of
the Co-CoAl-NiAl-Ni
partial system at
1100°C
20
40
60
80
20 40 60 80
20
40
60
80
Co Ni
Al Data / Grid: at.%
Axes: at.%
β
γ
γ´+β
γ´
γ+γ´
γ+β
β,NiAlβ,CoAl
Fig. 8: Al-Co-Ni.
Isothermal section of
the Co-CoAl-NiAl-Ni
partial system at
900°C
277
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
20
40
60
80
20 40 60 80
20
40
60
80
Co Ni
Al Data / Grid: at.%
Axes: at.%
γ
β,NiAlββ,CoAl
γ´
γ+β β+γ´
γ+β+γ´
γ+γ´
30
40
10 20
60
70
Co 50.00Ni 0.00Al 50.00
Co 20.00Ni 30.00Al 50.00
Co 20.00Ni 0.00Al 80.00 Data / Grid: at.%
Axes: at.%
L
β
Co2Al5
τ1
Co2Al5+β L+βL+β
τ1+β
L+β+Co2Al5
L+Co2Al5
L+τ1
Fig. 9: Al-Co-Ni.
Diagram of phase
compositions of the
Co-CoAl-NiAl-Ni
alloys slowly cooled
to room temperature
Fig. 10: Al-Co-Ni.
Isothermal section of
the Al-CoAl-NiAl
partial system at
1170°C
278
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
10
20
30
40
10 20 30 40
60
70
80
90
Co 50.00Ni 0.00Al 50.00
Co 0.00Ni 50.00Al 50.00
Data / Grid: at.%
Axes: at.%
L
τ1
β
δ
L+δτ
1+β
L+τ1
Co2Al5+β
OM
ZCo2Al5
Y
β+δ
Al
10
20
30
40
10 20 30 40
60
70
80
90
Co 50.00Ni 0.00Al 50.00
Co 0.00Ni 50.00Al 50.00
Data / Grid: at.%
Axes: at.%
τ1
L
β
δ
L+δ
L+β
L+τ1
YZ
Co2Al5
Co2Al5+βτ
1+β
L+Y
Al
Fig. 12: Al-Co-Ni.
Isothermal section of
the Al-CoAl-NiAl
partial system at
1050°C
Fig. 11: Al-Co-Ni.
Isothermal section of
the Al-CoAl-NiAl
partial system at
1100°C
279
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
10
20
30
40
10 20 30 40
60
70
80
90
Co 50.00Ni 0.00Al 50.00
Co 0.00Ni 50.00Al 50.00
Data / Grid: at.%
Axes: at.%
Y
L
τ1
τ3
Co2Al9
OMZ
Co2Al5
L+Co2Al9
L+τ1
β
β+Co2Al5
β+τ3
δ
β+δ
ε
τ1+δ
L+δ
P2
Al
10
20
30
40
10 20 30 40
60
70
80
90
Co 50.00Ni 0.00Al 50.00
Co 0.00Ni 50.00Al 50.00
Data / Grid: at.%
Axes: at.%
L
δ
β+δ
τ1
Yε
L+ε
ε+δ
L+Co2Al9
Co2Al9
OM
ZCo2Al5
Co2Al5+βτ
3+β
τ3
τ2
τ1+ε
P4
β
Al
Fig. 13: Al-Co-Ni.
Isothermal section of
the Al-CoAl-NiAl
partial system at
900°C
Fig. 14: Al-Co-Ni.
Isothermal section of
the Al-CoAl-NiAl
partial system at
850°C
280
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
10
20
30
40
10 20 30 40
60
70
80
90
Co 50.00Ni 0.00Al 50.00
Co 0.00Ni 50.00Al 50.00
Data / Grid: at.%
Axes: at.%
τ1
τ3
L
Co2Al9
OMZ
Co2Al5
L+C
o 2A
l 9
ε
L+Co2Al9+ε
δ
ε+δ
Y
β
β´
τ3+β´
β+Co2Al5
τ1+ε
τ1 +δ
τ2
Al
10
20
30
40
10 20 30 40
60
70
80
90
Co 50.00Ni 0.00Al 50.00
Co 0.00Ni 50.00Al 50.00
Data / Grid: at.%
Axes: at.%
ε
τ1
δ
β´
Y
Co2Al9
OMZ
Co2Al5
τ3
τ2
Co2Al9+(Al)+ε
ε+δ
β
Co2Al5+βτ
3+β´
τ1+ε
Co 2
Al 9+(
Al)
τ1+ε+δ
τ3+δ+β´
δ+β´
(Al)Al
Fig. 15: Al-Co-Ni.
Isothermal section of
the Al-CoAl-NiAl
partial system at
730°C
Fig. 16: Al-Co-Ni.
Isothermal section of
the Al-CoAl-NiAl
partial system at
600°C
281
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
10 20 30 400
250
500
750
1000
1250
1500
Co 20.00Ni 80.00Al 0.00
Co 11.00Ni 44.00Al 45.00Al, at.%
Tem
pera
ture
, °C
βγγ+β
γ´+β
γ´
γ+γ´
L
600
700
800
900
Co 3.00Ni 0.00Al 97.00
Co 0.00Ni 3.00Al 97.00Ni, at.%
Tem
pera
ture
, °C
L+Co2Al9
L+(Al)+Co2Al9
E1,643
L
e4
(Al)+ε
e3
(Al)+Co2Al9(Al)+Co2Al9+ε
L+Co2Al9+εL+(Al)
L+(Al)+ε
Fig. 17: Al-Co-Ni.
Polythermal section
within the Co:Ni =
20:80 atomic ratio in
Co-Ni edge of the
ternary system
Fig. 18a:Al-Co-Ni.
Polythermal section
of the Al-AlCo-AlNi
partial system at 97
at.% Al
282
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
600
700
800
900
Co 7.50Ni 0.00Al 92.50
Co 0.00Ni 7.50Al 92.50Co, at.%
Tem
pera
ture
, °C
L+Co2Al9
(Al)+Co2Al9
E1,643
(Al)+Co2Al9+ε
e3
e4
L
L+εL+Co2Al9+ε
(Al)+ε
L+(Al)+ε
2.0 4.0 6.0
10600
700
800
900
1000
1100
1200
Co 15.00Ni 0.00Al 85.00
Co 0.00Ni 15.00Al 85.00Ni, at.%
Tem
pera
ture
, °C
(Al)+Co2Al9+ε
L+Co2Al9L+Co2Al9+ε
e4
e3 E1,643
(Al)+ε
L+ε
L+(Al)+ε
(Al)+Co2Al9
L
p8
L+O
L+O+Y
L+Y
L+O+Co2Al9
L+Y+Co2Al9
Fig. 18b:Al-Co-Ni.
Polythermal section
of the Al-AlCo-AlNi
partial system at 92.5
at.% Al
Fig. 19a:Al-Co-Ni.
Polythermal section
of the Al-AlCo-AlNi
partial system at 85
at.% Al
283
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
10600
700
800
900
1000
1100
1200
Co 20.00Ni 0.00Al 80.00
Co 0.00Ni 20.00Al 80.00Ni, at.%
Tem
pera
ture
, °C
τ2+Y+
τ1+Y+
(Al)+Co2Al9+ε
Co2Al9
Co2Al9+τ1+ε
τ 2+ε+
L+τ1+ε
Co2Al9+τ1
L+Co2Al9+τ1 L+δ
L+ε+δ
L+ε
e4
ε+Co2Al9
U9,888
900
L+ZL+Z+Y
L+Y
U6,950
L+Y+τ1
U10
860P3,880
E1,643
L+Y+Co2Al9p8
p7
P2p9
U8,906
Co2Al9
τ1+τ2+Co2Al9
Y+Co2Al9
τ2+Co2Al9
O+Co2Al9
O+Y+Co2Al9
L+O+Y
L+OL+τ1 L+τ1+δ
L+Co2Al9+ε
p6
L
Co2Al9
10 20600
700
800
900
1000
1100
1200
1300
Co 25.00Ni 0.00Al 75.00
Co 0.00Ni 25.00Al 75.00Ni, at.%
Tem
pera
ture
, °C
L+Co2Al5+βL+Z+τ1
Co2Al9+τ2+τ1
L+ L+δ
L+δ+βL+τ1+β
Co2Al9+τ1
Co2Al9+ε+τ1
τ2+ε+
τ1+τ2+ετ2+ε
U10,860
L+β
L+Y+τ1
Z+Y+mτ2+Co2Al9
Y+τ2+
Y+τ1
Y+τ1+τ2
p2p4p6
Y+τ2
P2,900
τ1+δ
L
U5,1048
U9,888P3,880
U8,906
ε
L+τ1+ε
Y
Co2Al9
Z+Y
Z+m
L+Co2Al9+τ1
Co2Al9+Y+τ1
p7 1080
U3,1136
L+β+τ1
L+β
U4
L+ε+δ
L+τ1
Co2Al9
p9
Fig. 20a:Al-Co-Ni.
Polythermal section
of the Al-AlCo-AlNi
partial system at 75
at.% Al
Fig. 19b:Al-Co-Ni.
Polythermal section
of the Al-AlCo-AlNi
partial system at 80
at.% Al
284
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
10 20600
700
800
900
1000
1100
1200
1300
Co 22.00Ni 0.00Al 78.00
Co 0.00Ni 22.00Al 78.00Ni, at.%
Tem
pera
ture
, °C
L
L+τ1
L+ε+τ1
L+δ
L+Co2Al9+Y
L+Co2Al9+τ1
L+ε
L+ε+Co2Al9
Co2Al9+ετ2+ε+Co2Al9Co2Al9+Y
Y+Co2Al9+τ2
L+Z
L+Z+τ1
e4
p9
E1,643
(Al)+ε+Co2Al9
P2,900
U10,860
U8,906
U9,888P3,880
τ2+Co2Al9
τ1+ε+Co2Al9
Co2Al9+τ1+τ2
Co2Al9+Y+τ1
L+Y+τ1
Co2Al9+τ1
L+Y
Co2Al9+O+YCo2Al9+O
L+δ+τ1L+O
L+O+Y
p8
p7
U6,950
U4,1080
p6
10 20600
700
800
900
1000
1100
1200
1300
Co 30.00Ni 0.00Al 70.00
Co 0.00Ni 30.00Al 70.00Ni, at.%
Tem
pera
ture
, °C
L+β
L+β+δ
L+δ
L+ε+δ
L+τ1+δ
τ1+ε+δ
β+τ1
τ1+β+τ3
τ1+τ3
β+τ1+Co2Al5
L+β+Co2Al5
1160
L+β+τ1
1048
P2,900
τ1+τ3+ε
τ1+ε
+τ3+β
Co2Al5+β
U2
L+β+τ1
U5
L+τ1
τ1+τ3+
β+β'
Co2Al5+β'
τ3+β'+
U11
p5
p2
p9
P1,1002
τ1
750
τ3+Co2Al5
Co2Al5
Co2Al5
Co2Al5+
Co2Al5
L
p3,1175
ε+δ
Fig. 21a:Al-Co-Ni.
Polythermal section
of the Al-AlCo-AlNi
partial system at 70
at.% Al
Fig. 20b:Al-Co-Ni.
Polythermal section
of the Al-AlCo-AlNi
partial system at 78
at.% Al
285
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
10 20600
700
800
900
1000
1100
1200
1300
Co 28.50Ni 0.00Al 71.50
Co 0.00Ni 28.50Al 71.50Ni, at.%
Tem
pera
ture
, °C
L+β
L+β+Co2Al51160
L+β
L+β+δ
L+β+τ1
U4,1048 L+δ
L+ε+δ
L+τ1+δ
L+τ1+ε
τ1+ε+δ
τ1+ε
P2,900
1002
τ3+Co2Al5τ1+τ3+
Co2Al5+τ3+β
Co2Al5+β'Co2Al5+β+β'
Co2Al5+τ3+β'U11
Co2Al5 P1
p3 L+β+τ1
L
L+τ1
p9
p7
p2
750
τ1+τ3
τ1
Co2Al5
U2
β+τ1
β+τ1+Co2Al5β+
ε+δ
β+τ1+τ3
10 20600
700
800
900
1000
1100
1200
1300
Co 27.50Ni 0.00Al 72.50
Co 0.00Ni 27.50Al 72.50Ni, at.%
Tem
pera
ture
, °C
τ1
L
L+τ1
L+β
1048
P2,900
p9
p2
p4p5
L+β+τ1L+β+δ
1136
Z+Co2Al5 τ1+Z
τ1+Z+
τ1+ε τ1+ε+δ
L+βL+Co2Al5
L+β+Co2Al5
L+β+τ1
L+τ1+Co2Al5
L+τ1+ε
L+ε+δ
L+δ
U5
U2,1160
U3
L+τ1+δ
Co2Al5 ε+δ
Fig. 22: Al-Co-Ni.
Polythermal section
of the Al-AlCo-AlNi
partial system at 72.5
at.% Al
Fig. 21b:Al-Co-Ni.
Polythermal section
of the Al-AlCo-AlNi
partial system at 71.5
at.% Al
286
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ni
60 70 80600
700
800
900
1000
1100
1200
1300
Co 40.00Ni 10.00Al 50.00
Co 0.00Ni 10.00Al 90.00Al, at.%
Tem
pera
ture
, °C
L+β+τ1
L+τ1
Y+τ1+Co2Al9
β+τ1+Co2Al5
Co2Al5+β
Co2Al5+β+β'Co2Al5+β'
Co2Al5+τ3+β'
Co2Al5+τ3Co2Al5+τ1+τ3
Co2Al5+τ1
U11
P1,1002
τ1+Co2Al9+ε
Co2Al9+ετ2+Co2Al9+ε
L+Co2Al9+ε
(Al)+ε+Co2Al9
L+τ1+Co2Al9
L+Y+τ1
β+τ1
τ1
τ3+βCo2Al5+τ3+β
τ2+ε
τ1+τ2
τ2+τ1
L+Co2Al9
τ1+Y
τ1+τ2+Co2Al9750
τ1+τ3+β
L+β
τ1+Co2Al9
τ1+τ2+Y
L+ε
L
β
+ε
60 70 80600
700
800
900
1000
1100
1200
1300
Co 33.00Ni 13.00Al 54.00
Co 3.00Ni 13.00Al 84.00Al, at.%
Tem
pera
ture
, °C
L+β+τ1
β+τ1
τ1+τ3+β
τ3+β
τ3+β+β'
τ3+β´
Co2Al5+τ3+β'
Co2Al5+β+β'
Co2Al5+β'
Co2Al5+β
τ1+β+Co2Al5
U11,750
860
L+Co2Al9+ε
(Al)+ε+Co2Al9
τ1+ε
τ2+ε
τ1+τ2+ε
P1,1002
U9,888
E1,643
L+τ1
L+τ1+ετ1+Co2Al9+ε
P3,880Co2Al9+ε
Co2Al9+
L+β
L
τ1+τ3
τ1
τ3
Co2Al5+τ3+β
+ε+τ2
β
Fig. 23b:Al-Co-Ni.
Polythermal sections
of the Al-AlCo-AlNi
partial system at 13
at.% Ni
Fig. 23a:Al-Co-Ni.
Polythermal sections
of the Al-AlCo-AlNi
partial system at 10
at.% Ni
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Al–Co–Ni
1 3 10 30
10-3
10-2
10-1
100
T(K)
Cp(JmolK)
-1-1
0 2 4 6 8 10
0.60
0.65
0.70
0.75
T2 2(K )
Cp
/T(mJmolK)
-1-2
Fig. 24b:Al-Co-Ni.
Specific heat of
decagonal
Al71Ni16Co13
quasicrystal vs
temperature;
between 1.5 and 3 K
[Cp/T vs T2]; after
[1998Bia]
Fig. 24a:Al-Co-Ni.
Specific heat of
decagonal
Al71Ni16Co13
quasicrystal vs
temperature; between
1.5 and 36 K [Cp vs
T(K)]; after [1998Bia]
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Al–Co–Ni
0.4
0.6
0.8
1.0
1.3
0 2 4 6 8
0.2
0
-0.2
-0.4
-0.6
-0.8
Co, at.%
Partitioncoefficient,Kxg/
g´
lnKxg/
g´
40 42 44 46 48 50 52 54 56
285
286
287
288
289
Latticespacing,pm
Al, at.%
Co Al
Ni Co = 37
Ni Co = 11
Ni Co = 41
Ni Al
Fig. 25: Al-Co-Ni.
Partition coefficient
between and
phases vs Co content
at 1100°C after
[1994Jia]
Fig. 26: Al-Co-Ni.
Partition coefficient
between and
phases vs Co content
at 1100°C after
[1994Jia]
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Al–Co–Ti
Aluminium – Cobalt – Titanium
Kazuhiro Ishikawa, Ryosuke Kainuma and Kiyohito Ishida
Literature Data
This evaluation updates and modifies in parts the thoroughly made critical evaluation by [1991Sch] in the
same MSIT Ternary Evaluation Program. The Al-Co-Ti system was first investigated by [1966Mar], who
prepared 110 alloys, melted from iodide titanium (99.97%), cobalt (99.9%) and aluminum (99.997%) under
helium in an arc furnace with W-electrode, using a water cooled copper mould. The whole ternary system
was determined by thermal, X-ray, and dilatometric analysis together with hardness and specific electrical
resistivity measurements (only for Ti-rich alloys). The samples were annealed at 800°C and 600°C for 1
month in evacuated silica ampoules containing Ti-chips. The authors found two ternary phases: TiCo2Al
and another one called Ti2CoAl2, reported with a small range of homogeneity. The samples annealed at
600°C had compositions identical to those annealed at 800°C. The phase TiCo2Al is a Heusler phase
[1962Mar, 1963Gla, 1967Hof], the phase Ti2CoAl2 is of the Th6Mn23 type [1969Mar], the latter paper
gives an approximate composition TiCoAl2. A Japanese group [1967Tsu, 1968Tsu] studied the equilibria
in the Ti-rich corner (more than 80 mass% Ti) between 1100 and 600°C. Commercially pure Ti-sponge
(99.8%), Co (99.54%) and Al (99.99%) were melted in an argon arc furnace. Alloys with more than 85
mass% Ti were hot rolled between 1000 and 800°C to eliminate the as-cast structure. The specimens for
microscopic examination were heat treated in argon filled silica capsules and subsequently quenched in
water. Annealing times: 8 h at 1100°C, 1 day at 1050°C or 1 week at 1000°C. The specimens quenched from
below 950°C were cooled in stages from 1000°C to the annealing temperature, being held for 1 week at
1000°C and then 1 week at 950°C, then 2 weeks at 900°C and 950°C and 1 month at 800, 750, 700, 650 and
600°C. For X-ray diffraction the specimens were heated in vacuum for 1 h to the required temperature and
quenched [1967Tsu]. Eleven isothermal sections and nine isopleths of the Ti-rich corner with more than 80
mass% Ti were constructed [1968Tsu]. The paper [1967Tsu] is a short version of [1968Tsu] with five
isothermal and four vertical sections. In two further papers [1969Tsu1, 1969Tsu2] the investigations were
extended to 70 mass% Al+Co. In [1972Tsu] these two papers are combined in an English translation
containing the same diagram and micrographs. From 111 alloys, most of them chemically analyzed, the
liquidus surface as well as 6 isothermal sections were constructed, covering the partial system with less than
50 mass% Al and more than 30 mass% Ti. The authors reported a continuous solid solution (Ti,Al)Co
between TiCo and AlCo although the reported alloys cover only part of this range. The three phase fields
L+(Ti,Al)Co+ 2 and L+ 2+TiAl have maxima with the reactions L+(Ti,Al)Co 2 and L 2+TiAl
respectively. Phase equilibria in the Al-Ti portion were determined by [2000Kai]. The alloys prepared by
arc melting were equilibrated at 1300°C for 1 day, 1200°C for 7 days and 1000°C 7 days in a evacuated
quartz tube back-filled with Ar with Ti filings as getters. The equilibrium compositions were determined by
EPMA with standard calibration method. The phase equilibria in the Co-Ti portion were investigated by
[2001Ish]. Twenty six alloys were prepared with pure elements by arc melting under an Ar atmosphere. The
alloys were sealed in a quartz tube with a titanium getter and equilibrated at 1100°C for 7 days, 1000°C for
14 days and 900°C for 21 days. The equilibrium compositions were determined by energy dispersive
spectroscopy (EDS) using standard calibration method. The phase 2, contrary to [1966Mar], is assumed to
have a large range of homogeneity by Ti to Al exchange. Six invariant four-phase reactions were found. By
X-ray diffraction it is not possible to distinguish between the hexagonal ( Ti) phase and Ti3Al which is
ordered. Therefore no ordering reflections were observed by [1972Tsu]. By thermal analysis, X-ray
diffraction reflections and metallography of 16 as-cast alloys [1979Sei] constructed the whole liquidus
surface. It was stated that the results of [1967Tsu] and [1972Tsu] were used to construct the phase diagram,
but the lines of double saturation in this diagram differ significantly from those of [1972Tsu], although the
alloys reported are not at all sufficient to prove these differences. The Al-rich part was not assessed but
estimated to be similar to the Al-Fe-Ti system, assessed in the same paper and to match the known binary
systems. Three ternary phases 1-TiCo2Al, 2-Ti1-xCoAl2-x and 3-Ti8Al22Co3 were found by [1979Sei].
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Al–Co–Ti
She indicated a field of primary crystallization of the Heusler-cF16 type phase TiCo2Al, which implies that
there is no continuous solid solution between CoAl and TiCo in contradiction to [1969Tsu1, 1969Tsu2,
1972Tsu] and [1986Zas]. Several works [1962Mar, 1963Gla, 1967Mar, 1967Hof, 1973Web, 1984End,
1993Nak] contributed to the crystal structure and the lattice parameter of the Heusler phase TiCo2Al. The
phase equilibria in the TiCo-TiCo2Al-CoAl pseudo-binary section (Co = 50 at.%) were determined by
[2002Ish1] using the diffusion couple method. The TiCo/TiCo2Al and TiCo2Al/CoAl couples were
equilibrated for 2 days at 1300°C, 14 days for 1200°C and 21 days at 1100°C. From the
concentration-penetration profiles obtained by EDS analysis, it was confirmed in the TiCo-CoAl
pseudo-binary section that a continuous ordering from the CsCl (B2) type to Heusler (L21) phase exist on
both the TiCo and CoAl sides. The phase equilibria in the TiCo-TiCo2Al section (Co = 52 at.%) were also
investigated by [2003Kaw] correlating microstructures and mechanical properties. Their alloys were
prepared by arc melting and homogenized in a vacuum at 1200°C for 2 days, then annealed at 700 - ~900°C.
Transmission electron microscopic observation was carried out to detect the anti-phase domain structure
introduced during the ordering reaction in the as-quenched alloys. These studies also confirmed the
continuous ordering reaction in the TiCo-TiCo2Al section.
A detailed refinement of the crystal structure of the 2 phase has been performed by [2003Gry] employing
X-ray single crystal- and neutron powder diffraction as well as electron diffraction.
Binary Systems
The binary systems Al-Co and Co-Ti compiled by [Mas] are used as boundary systems. The Al-Ti system
[1989Pri] is based on the critical assessment of Murray [1987Mur], but corrected with the results
[1989McC] for the range of 40 to 55 at.% Al and [1989Kal] for the range of 65 to 75 at.% Al. This phase
diagram is shown in Fig. 1.
Pseudobinary Systems
The TiCo-CoAl section is reported by [2002Ish1] and [2003Kaw] to be a pseudobinary one and shown in
Figs. 12 and 13 by dashed lines.
Solid Phases
The reported binary phases and the ternary phases are represented in Table 1. The solid solubility of Co in
(Ti) and Ti3Al is less than 5 at.% Co at 800°C [1966Mar]. There are conflicting assumptions on the solid
solution between TiCo and CoAl and the observation of the ternary Heusler phase TiCo2Al, which is an
ordered form of the CsCl-solid solution “Co(Ti,Al)”. Complete solid solubility is claimed by [1972Tsu],
although the experimental points cover only the Co-rich part. An enthalpy vs concentration curve of the
CoAl-TiCo section which shows no interruption by a two phase field was reported by [1986Zas]. Since the
Heusler phase is a superstructure of the CsCl type, the distinction between both phases was possibly not
well established. The ternary phase 3 [1979Sei] was not found by [1966Mar] and is outside the ranges
investigated by other authors. But since similar phases exist in Al-Ni-Ti and Al-Cu-Ti [1965Ram], its
existence is very probable. The solvus of the ( Ti) phase was determined by [1967Tsu], it is shown in Fig. 2.
The refinement of the crystal strucure of the 2 phase gives as formula: Ti27.5Co23.4Al49.1 , its structure type
has been determined as Mg6Cu16Si7, a filled variant of the Th6Mn23 type.
Invariant Equilibria
The partial reaction scheme after [1972Tsu], corrected to the accepted binaries, is given in Fig. 3. A reaction
scheme given by [1979Sei] is partially in contradiction to that of [1972Tsu] and to the accepted Al-Ti binary
system. In the reaction scheme in Fig. 3 a continuous solid solution (Ti,Al)Co is assumed, from which the
Heusler phase TiCo2Al may form at lower temperatures.
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Al–Co–Ti
Liquidus Surface
The liquidus surfaces given by [1972Tsu] and [1979Sei] disagree in many details. That of [1972Tsu] is
based on many more alloys and therefore is preferred in the construction of the liquidus surface in Fig. 4.
The remaining parts given by [1979Sei] are based on so few alloys that they can be taken only as very
tentative. Furthermore the phases TiCo3 and the two different modifications of TiCo2 are neglected in
[1979Sei].
Isothermal Sections
The isothermal sections of 1300, 1200, 1100, 1000, 900, 800 and 600°C in the Ti-rich part by [1972Tsu],
the Al-Ti corner by [2000Kai] and the Co-Ti by [2001Ish] are integrated in Figs. 5, 6, 7, 8, 9, 10 and 11,
respectively. Because of the discrepancy between [1967Tsu, 1972Tsu, 1979Sei] and [1966Mar], the
isothermal section of [1966Mar] at 800°C is not shown. For the same reason, the isothermal section at
1000°C by [1972Tsu] was replaced by one constructed on the basis of recent data [2000Kai, 2001Ish].
Temperature – Composition Sections
Nine vertical sections were constructed by [1968Tsu] in the Ti-corner.
Thermodynamics
Enthalpies of formation by solution calorimetry in liquid Al for five alloys of the section Ti1-xCoAlx were
determined by [1986Zas]. The entropies of alloys of the Ti1-xCoAlx section were determined by [1987Kra]
using low temperature (78 to 273 K) heat capacity measurements.
Notes on Materials Properties and Applications
Magnetic measurements on the Heusler phase TiCo2Al were made by [1973Web, 1983Bus, 1984End]. For
alloy concentrations of Ti1-xCoAlx with x > 0.6 the ferromagnetic behavior changes to paramagnetic. The
Curie temperature for the TiCo2Al compound is determined as 134 K in [1983Bus] on a sample annealed
at 527°C for 14 days.
The characteristic of the electrical resistivity of the Ti32Co22Al46 compound is typical metalic and the
temperature dependence follows the Bloch-Grüneisen relation with a Debye temperature of ~300
K [2003Gry]. The residual resistivity for the Ti32Co22Al46 compound is 0.97 m cm [2003Gry].
The Ti47Co28Al25 compound can absorb up to 0.8 wt.% hydrogen (8.57 mg) [2003Gry].
Miscellaneous
The stability of the Heusler phase TiCo2Al up to the liquidus surface (1750°C) is described by [1979Sei].
The phase stability of the L21 phase in the TiCo-TiCo2Al-CoAl quasibinary section was reported by
[2002Ish2]. There, the (metastable) critical temperature of B2/L21 order-disorder transition of
stoichiometric TiCo2Al was given as 1827°C and the two tri-critical temperatures of the B2+L21
decompositions were estimated as about 1127°C. The critical compositions of the continuous ordering
evaluated by [2002Ish2] are shown in Fig. 12 superimposed on the stable melting equilibria (dashed lines).
Also shown are the assumed limits of both B2+L21 two-phase fields [2002Ish2]. [2003Kaw] describes the
ordering temperature vs composition for continuous ordering on the TiCo rich side of the section at 52 at.%
Co from ~1300 down to 600°C but does not recognize the separation into two phases B2+L21, see Fig. 13.
Note added in press
Phase equilibria at 950°C has been reported by [2000Din] based on EPMA, quantitative X-ray diffraction
and optical microscopy data for arc-melted samples annealed at 950°C for 240 hours. Note: In this work the
existence of the 3 phase has been confirmed in as-cast and annealed samples.
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Al–Co–Ti
References
[1962Mar] Markiv, V.Ya., Teslyuk, M.Y., “Crystal Structure of Ternary Compounds TiCo2Al,
MgNi2Zn, TlNi2Zn and TiCu2Zn” (in Russian), Dop. Akad. Nauk Ukr. RSR, (12),
1607-1609 (1962) (Crys. Structure, 7)
[1963Gla] Gladyshevskij, E.I., Markiv, V.Ya., Kuz’ma, Yu.B., Cherkashin, E.E., “Crystal Structure of
Some Ternary Intermetallic Compounds of Titanium” (in Russian), Titan. Splavy. Izv. Akad.
Nauk SSSR, Moskva, 10, 71-73 (1963) (Crys. Structure, 10)
[1965Ram] Raman, A, Schubert, K., “On the Structure of Some Alloy Phases Related to TiAl3. III.
Investigations in Several T-Ni-Al and T-Cu-Al Alloy Systems (T = Transition Element)”
(in German), Z. Metallkd., 56, 99-104 (1965) (Experimental, Crys. Structure, 14)
[1966Mar] Markiv, V.Ya., “Phase Equilibrium in the Ti-Co-Al System”, Izv. Akad. Nauk SSSR, Met.,
(1), 156-158 (1966) (Experimental, Crys. Structure, Equi. Diagram, #, 10)
[1967Hof] Hofer, G., Stadelmaier, H.H., “Cobalt-, Nickel- and Copper-Phases of the Ternary
MnCu2Al Type” (in German), Monatsh. Chem., 98, 408-411 (1967) (Experimental, Crys.
Structure, 9)
[1967Mar] Markiv V.Ya., Kripyakevich, P.I., “Compounds of the Type R(X’,X’’)2 in Systems with
R=Ti, Zr, Hf, X’=Fe, Co, Ni, Cu and X’’=Al, Ga and their Crystal Structures”, Sov. Phys. -
Crystallogr., 11, 733-738 (1967), translated from Kristallografiya, 11, 859-865 (1966)
(Crys. Structure, 25)
[1967Tsu] Tsujimoto, T., Adachi, M., “The Titanium-Rich Corner of the Ternary Ti-Al-Co System”,
J. Inst. Met., 95, 146-151 (1967) (Experimental, Equi. Diagram, 8)
[1968Tsu] Tsujimoto, T., Adachi, M. “The Titanium-Rich Corner of the Ternary Ti-Al-Co System”,
Trans. Nat. Res. Inst. Met. (Jpn.), 10, 325-343 (1968) (Experimental, Equi. Diagram, 8)
[1969Mar] Markiv, V.Ya., Burnashova, V.V., “New Ternary Compounds in the (Sc, Ti, Zr, Hf)-(V, Cr,
Mn, Fe, Co, Ni, Cu)-(Al, Ga) Systems” (in Ukrainian), Dop. Akad. Nauk Ukr. RSR, A, (5),
463-464 (1969) (Crys. Structure, 12)
[1969Tsu1] Tsujimoto, T., Adachi, M., “Reactions with the Melt in the Titanium-Rich Region of the
Ternary Titanium-Aluminium-Cobalt System” (in Japanese), Nippon Kinzoku Gakkaishi,
33, 606-611 (1969) (Experimental, Equi. Diagram, Crys. Structure, #, 19)
[1969Tsu2] Tsujimoto, T., Adachi, M., “Reactions in the Solid State in the Titanium-Rich Region of the
Ternary Titanium-Aluminium-Cobalt System” (in Japanese), Nippon Kinzoku Gakkaishi,
33, 612-617 (1969) (Experimental, Equi. Diagram, 6)
[1972Tsu] Tsujimoto, T., Adachi, M., “The Titanium-Rich Region of the Ternary Ti-Al-Co System”,
Trans. Nat. Res. Inst. Met. (Jpn.), 14, 178-188 (1972) (Experimental, Equi. Diagram, Crys.
Structure, #, *)
[1973Web] Webster, P.J., Ziebeck, K.R.A., “Magnetic and Chemical Order in Heusler Alloys
Containing Cobalt and Titanium”, J. Phys. Chem. Solids, 34, 1647-1654 (1973) (Crys.
Structure, 26)
[1979Sei] Seibold, A., “Determination of Ternary and Quaternary Systems of Titanium for the
Development of Technical Appliable Casting Alloys” (in German), Thesis, Univ.
Erlangen-Nürnberg, (1979) (Experimental, Equi. Diagram, #, 70)
[1983Bus] Buschow, K.H.J., van Engen, P.G., Jongebreur, R., “Magneto-Optical Properties of Metallic
Ferromagnetic Materials”, J. Magn. Magn. Mater., 38, 1-22 (1983) (Magn. Prop., Optical
Prop., 23)[1984End] Endo, K., Shinogi, A., Ooiwa, K., Date, M., Hiramoto, K., “The Transitions from
Nonmagnetic State to Ferromagnetic State of Co is a Pseudobinary Alloy CoTi1-xAlx”,
J. Phys. Soc. Jpn., 53, 1487-1494 (1984) (Experimental, 12)
[1986Zas] Zasypalov, Yu.V., Kiselev, O.A., Mogutnov, B.M., “The Enthalpies of Formation of
Intermetallic Compounds CoTi1-xAlx and TiNi1-xCox (0 x 1)” (in Russian), Dokl. Akad.
Nauk SSSR, 287, 158-161 (1986) (Thermodyn., 9)
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Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Ti
[1987Kra] Krasheninnikova, N.G., Mogutnov, B.M., Tomilin, I.A., Shaposhnikov, N.G.,
“Thermodynamic Properties of the Intermetallic Compounds (Ni0.5Ti0.5)x(Co0.5Ti0.5)1-x
and (Co0.5Ti0.5)x(Co0.5Al0.5)1-x at Low Temperatures”, Russ. J. Phys. Chem., 61,
1627-1630 (1987), translated from Zh. Fiz. Khim., 61, 3089-3093 (1987) (Experimental,
Thermodyn., 10)
[1987Mur] Murray, J.L., “Phase Diagrams of Binary Titanium Alloys” in “Series on Alloy Phase
Diagrams”, ASM Metals Park Ohio, (1987) (Equi. Diagram, Crys. Structure, Review, #, 93)
[1989Kal] Kaltenbach, K., Gama, S., Pinatti, D.G., Schulze, K., “A Contribution to the Al-Ti Phase
Diagram”, Z. Metallkd., 80, 511-514 (1989) (Experimental, Equi. Diagram, Crys. Structure,
#, 14)
[1989McC] McCullough, C., Valencia, J.J., Levi, C.G., Mehrabian, R., “Phase Equilibria and
Solidification in Ti-Al Alloys”, Acta Metall., 37, 1321-1336 (1989) (Experimental, Equi.
Diagram, Crys. Structure, #, 25)
[1989Pri] Prince, A., “The Al-Ti Binary Phases Diagram”, private communication (1989) (Equi.
Diagram, Review)
[1991Sch] Schmid, E.E., “Aluminium-Cobalt-Titanium”, MSIT Ternary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; Document ID: 10.10909.1.20, (1991) (Equi. Diagram, Crys. Structure,
Assessment, 21)
[1993Nak] Nakayama, Y., Mabuchi, H., “Formation of Ternary L1(2) Compounds in Al3Ti-Base
Alloys”, Intermetallics, 1, 41-48 (1993) (Crys. Structure, Experimental, Equi. Diagram, 40)
[2000Din] Ding, J.J., Rogl, P., Schmidt, H., Podloucky, R., “Structure Chemistry and Constitution in
TiAl-Based Intermetallics”, Visn. L’viv. Univ., Ser. Khim, (39), 136-141 (2000) (Crys.
Structure, 12)[2000Kai] Kainuma, R., Fujita, Y., Mitsui, H., Ohnuma, I., Ishida, K., “Phase Equilibria Among
(hcp), (bcc) and (L10) Phases in Ti-Al Base Ternary Alloys”, Intermetallics, 8, 855-867
(2000) (Experimental, Equi. Diagram, 29)
[2001Ish] Ishikawa, K., Himuro, Y., Ohnuma, I., Kainuma, R., Aoki, K., Ishida, K., “Phase Equilibria
in the Co-Ti Portion of the Co-Al-Ti Ternary System”, J. Phase Equilib., 22, 219-226
(2001) (Experimental, Equi. Diagram, #, 10)
[2002Ish1] Ishikawa, K., Mitsui, H., Ohnuma, I., Kainuma, R., Aoki, K., Ishida, K., “Ordering and
Phase Separation of BCC Aluminides in (Ni, Co)-Al-Ti System”, Mat. Sci. Eng. A, 329-331,
276-281 (2002) (Experimental, Equi. Diagram, 11)
[2002Ish2] Ishikawa, K., Kainuma, R., Ohnuma, I., Aoki, K., Ishida, K., “Phase Stability of the X2AlTi
(X: Fe, Co, Ni and Cu) Heusler and B2-Type Intermetallic Compounds”, Acta Mater., 50,
2233-2243 (2002) (Experimental, Equi. Diagram, 12)
[2003Gry] Grytsiv, A., Ding, J.J., Rogl, P., Weill, F., Chevalier, B., Etourneau, J., Andre, G., Bouree,
F., Noel, H., Hundegger, P., Wiesinger, G., “Crystal Chemistry of the G-Phases in the
Systems Ti-{Fe, Co, Ni}-Al with a Novel Filled Variant of the Th6Mn23-Type”,
Intermetallics, 11, 351-359 (2003) (Experimental, Crys. Structure, 26)
[2003Kaw] Kawai, H., Kaneko, Y., Yoshida, M., Takasugi, T., “Microstructures and Mechanical
Properties of CoTi(B2)-Co2AlTi (L21) Pseudo-Binary Intermetallic Compounds”,
Intermetallics, 11, 467-473 (2003) (Experimental, Equi. Diagram, Mechan. Prop., 17)
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Table 1: Crystallographic Data of Solid Phases
Phase /
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al )
< 660
cF4
Fm3m
Cu
a = 404.88 24°C [V-C]
( Co)(h)
1495-422
cF4
Fm3m
Cu
a = 354.46 [V-C]
( Co)(r)
< 422
hP2
P63/mmc
Mg
a = 250.71
c = 406.95
[V-C]
( Ti)(h)
1670-882
cI2
Im3m
W
a = 330.65 [V-C]
( Ti)(r)
< 882
hP2
P63/mmc
Mg
a = 295.08
c = 468.55
[V-C]
Ti2Co
< 1058
cF96
Fd3m
Ti2Ni
a = 1130 [V-C]
TiCo2(c)
< 1235
cF24 a)
Fd3m
MgCu2
a = 669.2 [V-C],
homogeneity range 66.5 to 67 at.% Co
[Mas]
TiCo2(h) hP24 a)
P63/mmc
MgNi2
a = 473
c = 1541
[V-C],
homogeneity range 68.75 to 72 at.% Co
[Mas]
TiCo3
1190
cP4
Pm3m
CuAu3
a = 361.4 [V-C]
Co2Al5< 1172
hP28
P63/mmc
Co2Al5
a = 767.15
c = 760.85
[V-C]
Co4Al13
1100
mC100
Cm
Co4Al13
a = 1518.3
b = 812.2
c = 1234.0
=107.9°
[V-C]
Co2Al9< 944
mP22
P21/a
Co2Al9
a = 855.6
b = 629.0
c = 621.3
= 94.76°
[V-C]
TiAl3< 1395
tI8
I4/mmm
TiAl3
a = 384.9
c = 861
[1989Kal]
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Al–Co–Ti
a) Possibly only one of the two TiCo2 based Laves phases is a stable phase [Mas]
Ti9Al23
780
a = 384.3
c = 3346.4
superstructure of TiAl3 [1989Kal]
, TiAl2.4(h)
1415-990
tI16
I4/mmm
ZrAl3
a = 391.7
c = 1652.4
[1989Kal]
TiAl2< 1175
tI24
I41/amd
HfGa2
a = 397.6
c = 2436
[1989Kal]
TiAl
< 1447
tP4
P4/mmm
CuAu
a = 401.1
c = 406.9
a = 398.8
c = 408.1
at 46 at.% Al [1989Kal]
at 62 at.% Al
Ti3Al
1180
hP8
P63/mmc
Ni3Sn
a = 578.2
c = 462.9
[V-C]
(Ti1-xAlx)Co
TiCo
< 1325
CoAl
< 1648
cP2
Pm3m
CsCl
a = 299.5
a = 286.11
0 x 1
[V-C]
[V-C]
* 1, TiCo2Al cF16
Fm3m
BiF3
a = 584.7
a = 584.8
[1962Mar], [1979Sei]
[V-C]
* 2, Ti1+xCoAl2-x cF116
Fm3m
Th6Mn23
Mg6Cu16Si7
a = 1193
a = 1193.56 ± 0.03
0 x 1 [1972Tsu]
TiCoAl2 [1969Mar]
Ti27.5Co23.4Al49.1 [2003Gry]; a filled
variant of the Th6Mn23-type
* 3, Ti8Co3Al22 cF4 a = 395 Cu3Au-like [1979Sei]
Phase /
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
296
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Ti
80
90
10 20
10
20
Ti Ti 70.00Co 30.00Al 0.00
Ti 70.00Co 0.00Al 30.00 Data / Grid: at.%
Axes: at.%
1100
1050
950
900
850
800
750 700
950
1100
1050
1000
°C
80 60 40 20600
700
800
900
1000
1100
1200
1300
1400
1500
1600
1700
1800
Ti AlTi, at.%
Tem
pera
ture
, °C
14751447
1415 1395
L
665
(βTi)
~1118
Ti3Al(αTi) TiAl
Ti 9Al 23
TiAl2
990
ξ
1175
TiA
l3
882°C
1670°C
Fig. 2: Al-Co-Ti.
Solvus lines of the
( Ti) phase field
[1967Tsu]
Fig. 1: Al-Co-Ti.
Acceped Al-Ti phase
diagram
297
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Ti
Co-Ti
l+TiCo Ti2Co
1057 p4
l TiAl + τ2
e1(max)
Al-Co-Ti
L+TiAl (αTi)+τ2
1270 U1
Al-Ti
l+(βTi) (αTi)
1475 p1
l (βTi)+Ti2Co
1020 e4
(βTi) (αTi)+Ti2Co
685 e5
l+(αTi) TiAl
1447 p2
(αTi) Ti3Al+TiAl
1118 e2
(βTi)+Ti3Al (αTi)+Ti
2Co775 U
6
(βTi)+τ2
Ti3Al+Ti
2Co1003 U
5
L (βTi)+Ti2Co+τ
21005 E
2
L+(Ti,Al)Co τ2+Ti
2Co1040 U
4
l+(Ti,Al)Co τ2
p3(max)
(αTi)+τ2
(βTi)+Ti3Al U
3
(αTi) Ti3Al+TiAl+τ
2E1
(αTi) Ti3Al+τ
2
e3(max)
L+(αTi) (βTi)+τ2
1240 U2(αTi)+TiAl+τ
2
Ti3Al+TiAl+τ
2
(Ti,Al)Co+τ2+Ti
2Co L+τ
2+Ti
2Co
(βTi)+τ2+Ti
2Co
τ2+Ti
3Al+Ti
2Co
(βTi)+Ti3Al+Ti
2Co
(αTi)+Ti3Al+Ti
2C
(αTi)+(βTi)+τ2
L+(βTi)+τ2
(βTi)+τ2+Ti
3Al
(αTi)+(βTi)+Ti3Al
L+(αTi)+τ2
20
40
60
80
20 40 60 80
20
40
60
80
Ti Co
Al Data / Grid: at.%
Axes: at.%
ξ
TiAl
(αTi)
(βTi)(Ti,Al)Co
(γCo)
τ2
Ti2Co
U1
U2
U4
p3max
e4p4
p1
p2
E2
Fig. 4: Al-Co-Ti.
Liquidus surface
Fig. 3: Al-Co-Ti. Reaction scheme
298
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Ti
20
40
60
80
20 40 60 80
20
40
60
80
Ti Co
Al Data / Grid: at.%
Axes: at.%
TiAl
(αTi)
(βTi) L
Fig. 5: Al-Co-Ti.
Isothermal section at
1300°C
20
40
60
80
20 40 60 80
20
40
60
80
Ti Co
Al Data / Grid: at.%
Axes: at.%
(βTi)
(αTi)
TiAl
τ2
L
Fig. 6: Al-Co-Ti.
Isothermal section at
1200°C
299
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Ti
20
40
60
80
20 40 60 80
20
40
60
80
Ti Co
Al Data / Grid: at.%
Axes: at.%
L(βTi)
Ti3Al
TiAl
τ2
TiCo (γCo)
TiCo2(c) TiCo2(h) TiCo3
TiC
o 2A
l
AlCo
Fig. 7: Al-Co-Ti.
Isothermal section at
1100°C
20
40
60
80
20 40 60 80
20
40
60
80
Ti Co
Al Data / Grid: at.%
Axes: at.%
TiCo
Ti2Co
(βTi)
(αTi)
Ti3Al
TiAl
τ2
TiC
o 2A
l
AlCo
(γCo)
TiCo2(c) TiCo2(h) TiCo3
Fig. 8: Al-Co-Ti.
Isothermal section at
1000°C
300
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Ti
20
40
60
80
20 40 60 80
20
40
60
80
Ti Co
Al Data / Grid: at.%
Axes: at.%
(βTi)
(αTi)
Ti3Al
TiAl
τ2
TiCo
Ti2Co
(γCo)
TiCo2(c) TiCo2(h) TiCo3
TiC
o 2A
l
AlCo
Fig. 9: Al-Co-Ti.
Isothermal section at
900°C
20
40
60
80
20 40 60 80
20
40
60
80
Ti Co
Al Data / Grid: at.%
Axes: at.%
(αTi)
Ti3Al
TiAl
Ti2Co
τ2
TiCo+τ2
TiCo(βTi)
τ2+TiAl
τ2+Ti3Al
Fig. 10: Al-Co-Ti.
Isothermal section at
800°C [1972Tsu]
301
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Ti
20
40
60
80
20 40 60 80
20
40
60
80
Ti Co
Al Data / Grid: at.%
Axes: at.%
(αTi)
Ti3Al
TiAl
Ti2Co
τ2
TiCo
Fig. 11: Al-Co-Ti.
Isothermal section at
600°C [1972Tsu]
10 20 30 40500
750
1000
1250
1500
1750
2000
Ti 50.00Co 50.00Al 0.00
Ti 0.00Co 50.00Al 50.00Al, at.%
Tem
pera
ture
, °C
TiCo TiCo2Al CoAl
L
1325°C
1640°C
Fig. 12: Al-Co-Ti.
TiCo - CoAl
pseudobinary section
[2002Ish1]
302
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Ti
10 20600
700
800
900
1000
1100
1200
1300
1400
Ti 48.00Co 52.00Al 0.00
Ti 23.00Co 52.00Al 25.00Al, at.%
Tem
pera
ture
, °C
TiCo TiCo2Al
Fig. 13: Al-Co-Ti.
Part of the
TiCo - TiCo2Al
pseudobinary section
(Co = 52 at.%)
[2003Kaw]
303
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Y
Aluminium – Cobalt – Yttrium
Oksana Bodak
Literature Data
A critical analysis of the literature data on the Al-Co-Y system was made by [1991Gri] based on articles
published in the period 1971 to 1990. These investigations have generated isothermal sections of the phase
diagram [1971Ryk] and determined compositions and crystal structures of 4 ternary compounds: YCoAl4-x,
YCoAl2, YCoAl and ~YCo2Al7 by [1971Ryk, 1972Ryk]. Several papers were devoted to alloys from the
solid solution regions based on binary compounds of the Co-Y system: Y2(Co1-xAlx)17 in papers by
[1971Ryk, 1974Ham, 1985Mod] and Y(Co1-xAlx)5 by [1971Ryk, 1982Chu1, 1982Chu2, 1985Yos]. During
the last 15 years 10 more articles on this system were published with focus on the crystal structure and alloys
from the solid solution regions as well as on the ternary compounds. [1992Gla] re-assessed the composition
and structure of the YCoAl4 phase to be: Y2Co3Al9; and in [2001Rou] its magnetic properties were
examined. The interest in the properties of the alloys from the solid solution regions remains:
Y2(Co1-xAlx)17 [1997Zha, 1999She], Y(Co1-xAlx)5 [1996Tha, 2002Zlo] and Y(Co1-xAlx)2 [1993Tov,
1998Got, 1991Gab, 1999Mus, 2000Mus].
The samples usually were prepared by arc melting high purity metals under argon atmosphere. Then they
were heat treated at various temperatures and investigated both in annealed and in as cast state,
predominantly using X-ray methods. Magnetic properties were examined using SQUID magnetometer in a
temperature range of 2-300 K and in magnetic fields up to 7 T. Neutron diffraction was applied by
[2002Zlo]. Single crystal of the YCo4Al composition has been successfully grown in a tri-arc Czochralski
apparatus by [1996Tha] and sizable single crystals of Y2(Co,Al)17 were produced by [1985Mod] in
Bridgman technique.
Binary Systems
Co-Y binary system was taken from [Mas2]. Al-Co system was accepted according to [2003Gru] and Al-Y
as published by [2003Cor].
Solid Phases
Four ternary compounds were found and stability regions and structure of YCoAl compound was
determined in [1971Ryk, 1972Ryk]. The complete determination of YCoAl2 crystal structure is due to
[1971Ryk, 1973Ryk]. The composition of ~YCoAl4 phase was re-assessed as being Y2Co3Al9 and its
structure completely calculated by [1992Gla]. The structural symmetry and lattice parameters of ~YCo2Al7is available from [1971Ryk], but the structure itself is still unknown. The change of the lattice parameters
in the homogeneity region of the Y(Co1-xAlx)2 solid solution is shown in Fig. 1 according to the data by
[1985Yos, 1999Mus]. For alloys in the Y2(Co1-xAlx)17 solid solution, annealed at 1150°C, the change of
lattice parameters with changing Co/Al concentration is given in the Fig. 2 [1974Ham].
[1997Zha] and co-authors reported the crystal structures for Y2Co17-xAlx (x = 2, 3) and have found that
samples of such compositions, annealed for 3 weeks at 900°C, are single phase and belong to the Th2Zn17
type structure. Lattice parameters were not presented. Table 1 summarizes the composition and structure
data of the solid phases in the system Al-Co-Y.
Isothermal Sections
Phase configurations at 600°C in the partial isothermal section, Fig. 3, are drawn to merge consistently the
data from [1971Ryk] with the newly evaluated data on the Al-Co system and the re-assessed compositions
of the compounds. Both groups of authors, [1971Ryk, 1996Tha, 2002Zlo] investigating the YCo5-xAlxregion and [1971Ryk, 1974Ham, 1999She] investigating the Y2Co17-xAlx solid solutions reported the
presence of the phases with CaCu5 and Th2Ni17 type structures, which is in conflict with the binary Co-Y
304
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Y
data. At that point it is not clear whether these results are more correct than the information presented in
[Mas2], because the temperature for the polymorphic transformation Y2Co17 Y2Co17 is not well
defined as is the decomposition temperature of YCo5.
Notes on Materials Properties and Applications
Weakly itinerant ferromagnetism has been found in the magnetically dilute system Y(Co1-xAlx)2 (x = 0.13
~ 0.19) [1985Yos]. The temperature dependence of the first magneto-crystalline anisotropy constant K1 has
been deduced for Y(Co0.85Al0.15)2 samples [1993Tov]. The magnitude of K1 is equal to 7.6×104 erg cm-3
at T = 7 K and falls rapidly with increasing temperature. K1 has a negative sign over the temperature range
investigated from 7 to 20 K, i.e. below TC = 25 K [1993Tov]. In the concentration region 0.12 < x < 0.15 a
meta-magnetic transition from the weakly developed ferromagnetic to a stronger ferromagnetic was
observed by [1998Got]. The critical field of this transition BC was found to increase with pressure at a rate
of dBC/dP = 7.8 GPa-1 for x = 0.075. For x = 0.09 BC increases at a rate of dBC/dP = 7.4 GPa-1. The initial
volume compressibility amounts up to 8.7×10-3 GPa-1 at 77 K [1999Mus].
The magnetic properties of alloys from the Y2(Co1-xAlx)17 phase field were investigated by [1974Ham,
1997Zha, 1999She]. When the Al content increases the Curie temperature and saturation magnetization
decrease [1974Ham, 1999She]; also the magneto-crystalline anisotropy reverses from easy-plane to
easy-axis anisotropy for higher Al concentration [1997Zha]. In the Y(Co1-xAlx)5 solid solution, similarly to
Y2(Co1-xAlx)17, the Co substitution of Co by Al reduces the Curie temperature, saturation magnetization
and changes the magneto-crystalline anisotropy [2002Zlo]. The single crystal investigation of YCo4Al
shows that Al substitution also leads to a large decrease of the Co magnetic moment compared with YCo5
[1996Tha]. A magnetization anisotropy of 3.4% has been found for YCo4Al [1996Tha]. Y2Co3Al9compound is a Pauli paramagnet [2001Rou].
References
[1971Ryk] Rykhal’, R.M., Zarechnyuk, O.S., “Y-Co-Al Ternary System in the Region 0-33.3 at.% Y”
(in Ukrainian), Dop. Akad. Nauk Ukr. RSR A, Fiz-Mat. Tekh., 33, 854-956 (1971)
(Experimental, Equi. Diagram, Crys. Structure, #, 10)
[1972Ryk] Rykhal, R.M., “Crystal Structures of the Ternary Compounds YFeAl and YCoAl” (in
Russian), Vestn. L’vov. Univ. Khim., 13, 11-14 (1972) (Experimental, Crys. Structure, 4)
[1973Ryk] Rykhal’, R.M., Zarechnyuk, O.S., Pyshchik. G.V., “New Representatives of the MgCuAl2and YNiAl4 Types of Structure” (in Ukrainian), Dop. Akad. Nauk Ukr. RSR A, Fiz-Mat.
Tekh., (6), 568-570 (1973) (Experimental, Crys. Structure, 2)
[1974Ham] Hamano, M., Yajima, S., Umebayashi, H., “Magnetocrystalline Anisotropy Measured on
Single Crystal Y2(Co1-xAlx)17 Intermetallics”, Proc. Rare-Earth Research Conference,
11th, 477-486 (1974) (Experimental, Crys. Structure, Magn. Prop., 17)
[1982Chu1] Chuang, Y.C., Wu, C.H., Chang, Y.C., “An Investigation of the Metastable Character of
Y(Co,M)5 Compounds”, J. Less-Common Met., 83(2), 235-241 (1982) (Experimental,
Equi. Diagram, 8)
[1982Chu2] Chuang, Y.C., Wu, C.H., Chang,Y.C. “Structure and Magnetic Properties of Y(Co1-xMx)5
Compounds”, J. Less-Common Met., 84, 201-213 (1982) (Experimental, Crys. Structure,
Magn. Prop., 37)
[1985Mod] Modrzejewski, A., Warchol, S., Slepowronski, M., “Growth of Rare-Earth - Transition
Metal Single Crystal Compounds” (in German), Akad. Wiss. DDR, 6th Int. Sym. High P. M.,
(1985) (Experimental, Magn. Prop., 2)
[1985Yos] Yoshimura, K., Nakamura,Y., “New Weakly Itinerant Ferromagnetic System, Y(Co,Al)
(Y(Co1-xAlx)2)”, Solid State Commun., 56, 767-771 (1985) (Experimental, Crys. Structure,
20)
[1991Gab] Gabelko, I.L., Levitin, R.Z., Markosyan, A.S., Silant’ev, V.I., Snegirev V.V., “Influence of
the d-Electron Concentration on the Itinerant Electron Metamagnetism and Ferromagnetism
305
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Y
in M(Co1-xAlx)2 Systems (M = Y, Lu, Ce)”, J. Magn. Magn. Mater., 94(3), 287-292 (1991)
(Magn. Prop., 15)
[1991Gri] Grieb, B., “Aluminium-Cobalt-Yttrium”, MSIT Ternary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; Document ID: 10.15696.1.20, (1991) (Crys. Structure, Equi. Diagram,
Assessment, 8)
[1992Gla] Gladyshevskii, R.E., Cenzual, K., Parthe, E., “Y2Co3Al9 with Y2Co3Ga9 Type Structure:
an Intergroeth of CsCl- and Th3Pd5-Type Slabs”, J. Alloys Compd., 182, 165-170 (1999)
(Experimental, Crys. Structure, 15)
[1993Tov] Tovstolytkin, A.I., Belous, N.A., Zorin, I.A., Lezhnenko, I.V., “Magnetocrystalline
Anisotropy in Y(Co0.85Al0.15)2 with the C15 Cubic Laves Phase Structure”, J. Phys.:
Condensed Matter, 5, 7009-7012 (1993) (Experimental, Magn. Prop., 10)
[1996Tha] Thang, C.V., Brommer, P.E., Colpa, J.H.P., Bruek, E., Menovsky, A.A., Thuy, N.P., Franse,
J.J.M., “Magnetocrystalline Anisotropy and R-Co Exchange Interaction in Monocrystalline
RCo4Al (R = Y, Gd and Ho)”, J. Alloys Compd., 245, 100-111 (1996) (Experimental, Crys.
Structure, 40)
[1997Zha] Zhang, D., de Groot, C.H., de Boer, F.R., Buschow, K.H.J., “Magnetic Properties of
Pr2Co17-xAlx and Y2Co17-xAlx”, J. Alloys Compd., 259, 42-46 (1997) (Experimental, Crys.
Structure, 8)
[1998Got] Goto, T., Bartashevich, M.I., “Magnetovolume Effects in Metamagentic Itinerant-Electron
Systems Y(Co1-xAlx)2 and Lu(Co1-xGax)2”, J. Phys.: Condensed Matter, 10(16), 3625-3634
(1998) ( Experimental, Crys. Structure, Magn. Prop., 28)
[1999Mus] Mushnikov, N.V., Goto, T., “Itinerant Electron Metamagnetism of Y(Co1-xAlx)2 Under
High Pressure and Magnetic Fields”, J. Phys.: Condens. Matter, 11, 8095-8101 (1999)
(Experimental, Crys. Structure, Magn. Prop., 20)
[1999She] Shen, B., Cheng, Z., Zhang, S., Wang, J., Liang, B., Zhang, H., Zhan, W., “Magnetic
Properties of R2Co15Al2 Compounds with R= Y, Ce, Pr, Nd, Sm, Gd, Tb, Ho, Er, Tm”, J.
Appl. Phys., 85(5), 2787-2792 (1999) (Experimental, Crys. Structure, Magn. Prop., 43)
[2000Mus] Mushnikov, N.V., Andreev, A.V., Goto, T., “Effects of Substitution of Uranium for Yttrium
on Band Metamagnetism of Y(Co0.92Al0.08)2”, J. Alloys Compd., 298, 73-76 (2000)
(Experimental, Crys. Structure, Magn. Prop., 12)
[2001Rou] Routsi, Ch., Yakinthos, J.K., “Crystal Structure and Magnetic Properties of R2Co3Al9Compounds (R = Y, Pr, Gd, Tb, Dy, Ho, Er, Tm)”, J. Alloys Compd., 323-324, 427-430
(2001) (Experimental, Crys. Structure, Magn. Prop., 14)
[2002Zlo] Zlotea, C., Isnard, O., “Structural and Magnetic Properties of RCo4Al Compounds (R = Y,
Pr)”, J. Magn. Magn. Mater., 242-245, 832-835 (2002) (Experimental, Crys. Structure,
Magn. Prop., 15)
[2003Cor] Cornish, L., Cacciamani, G., Saltykov, P., “Al-Y (Aluminium-Yttrium)”, MSIT Binary
Evaluation Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science
International Services, GmbH, Stuttgart; to be published, (2003) (Crys. Structure, Equi.
Diagram, Assessment, 23)
[2003Gru] Grushko, B., Cacciamani, G., “Al-Co (Aluminium-Cobalt)”, MSIT Binary Evaluation
Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International
Services GmbH, Stuttgart; to be published, (2003) (Crys. Structure, Equi. Diagram,
Assessment, 71)
306
Landolt-BörnsteinNew Series IV/11A1
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Al–Co–Y
Table 1: Crystallographic Data of Solid Phases
Phases/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
< 660.452
cF4
Fm3m
Cu
a = 404.88 [Mas2]
( Co)
422-1495
cF4
Fm3m
Cu
a = 354.46 [Mas2]
( Co)
< 422
hP2
P63/mmc
Mg
a = 250.71
c = 406.95
[Mas2]
Co2Al9< 970
mP22
P21/a
...
a = 855.6
b = 629.0
c = 621.3
= 94.76°
[2003Gru]
O-Co4Al13
< 1080
oP102
Pmn21
O-Co4Al13
a = 815.8
b = 1234.7
c = 1445.2
[2003Gru]
M-Co4Al13
1093-?
mC102
C2/m
Fe4Al13
a = 1517.3
b = 810.9
c = 1234.9
= 107.84°
[2003Gru]
Y
1127-?
oI*
Immm
or
mC34
C2/m
Os4Al13
a = 1531.0
b = 1235.0
c = 758.0
a = 1704.0
b = 409.0
c = 758.0
= 116.0°
[2003Gru]
Z
< 1158
C-centr.monocl. a = 3984.0
b = 814.8
c = 3223.0
= 107.97°
[2003Gru]
Co2Al5< 1188
hP28
P63/mmc
Co2Al5
a = 767.2
c = 760.5
[2003Gru]
Co1-xAlx< 1640
cP2
Pm3m
CsCl
a = 285.7
a = 286.2
a = 285.9
x = 0.52 [2003Gru]
x = 0.5
x = 0.43
YAl3< 645(?)
hP8
P63/mmc
Ni3Sn
a = 627.6 ± 2
c = 458.2 ± 1
[2003Cor]
Metastable phase
YAl3980-655
hP36
R3m
BaPb3
a = 620.4 ± 2
c = 2118.4 ± 2
[2003Cor]
307
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Y
Y(CoxAl1-x)2
< 1485
cF24
Fd3m
MgCu2
a = 785.5 ± 7
a = 784
a = 788 to 786
a = 771
x = 0 [2003Cor]
x = 0 [1971Ryk]
supersaturated
x = 0.3 [1971Ryk]
Y2Co17
< 1300
hP57
R3m
Th2Zn17
a = 835.6
c = 1220
[Mas2, V-C2]
Y2(Co1-xAlx)17
1357-1300
hP38
P63/mmc
Th2Ni17
a = 835.5
c = 812.8
a = 836
c = 816
a = 835
c = 812
a = 839.6
c = 818.5
a = 838
c = 819
x = 0 [Mas2, V-C2]
x = 0, at 600°C [1971Ryk]
x = 0, at 1500°C [1974Ham]
x = 0.11 (Y2Co15Al2) annealed at
1000°C [1999She]
x = 0.11 (Y2Co15Al2),
at 600°C [1971Ryk]
Y(Co1-xAlx)5
< 1345
hP6
P6/mmm
CaCu5
a = 495.1
c = 397.5
a = 500
c = 400
a = 498.5
c = 401.9
a = 499.8 ± 1
c = 401.9 ± 1
a = 498.3 ± 5
c = 402.4 ± 5
a = 504
c = 404
x = 0 [Mas2, V-C2]
x = 0, at 600°C [1971Ryk]
x = 0.2 (YCo4Al) [1996Tha]
x = 0.2 (YCo4Al) [2002Zlo]
x = 0.2 (YCo4Al) at 2 K [2002Zlo]
x = 0.36 (YCo3.2Al1.8),
at 600°C [1971Ryk]
Y2Co7
< 1320
hP54
R3m
Er2Co7
a = 500
c = 3615
[Mas2, V-C2]
YCo3
< 1308
?
hP36
R3m
NbBe3
hP24
P63/mmc
CeNi3
a = 502.0
c = 2440
a = 501.5
c = 1628
[Mas2, V-C2]
[V-C2]
Y(Co1-xAlx)2
< 1154
cF24
Fd3m
MgCu2
a = 721.8
a = 722
a = 728
x = 0 [Mas2, V-C2]
x = 0 [1971Ryk]
x = 0.1 [1971Ryk]
1, YCo2Al7 orthor. a = 410
b = 1690
c = 1195
[1971Ryk]
Phases/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
308
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Y
2, Y2Co3Al9 oC56
Cmcm
Y2Co3Ga9
a = 1276
b = 739
c = 939
a = 1274.0 ± 2
b = 746.35 ± 9
c = 932.1 ± 1
a = 1274.0 ± 5
b = 752.3 ± 8
c = 941.1 ± 3
[1971Ryk]
[1992Gla]
[2001Rou]
3, YCoAl2 oC16
MgCuAl2
a = 408
b = 1015
c = 706
[1971Ryk, 1973Ryk]
4, YCo1+xAl1-x hP12
P63/mmc
MgZn2
a = 539
c = 867
a = 536
c = 863
x = 0 (YCoAl) [1971Ryk, 1972Ryk]
x = 0.35 (YCo1.35Al0.65)
[1971Ryk]
Phases/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
0
834 810
812
814
816
818
820
836
838
840
842
844
0.04 0.08 0.12 0.16
x in Y (Co Al )2 1- 17x x
Latticeparameters,and
(pm)
ac
a
c
a cFig. 1: Al-Co-Y.
Concentration de-
pendence of the lat-
tice constant of
Y2(Co1-xAlx) at
1500°C [1974Ham]
309
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Co–Y
0.00
720
722
724
726
728
730
732
734
736
0.05 0.10 0.15 0.20 0.25
Latticeconstant,
(pm)
a
[1999Mus]
[1985Yos]
x in Y(Co Al )1- 2x x
Fig. 2: Al-Co-Y.
Concentration de-
pendence of the lat-
tice constant of
Y(Co1-xAlx)2
[1999Mus]
20
40
60
80
20 40 60 80
20
40
60
80
Y Co
Al Data / Grid: at.%
Axes: at.%
Co2Al9
O-Co4Al13
Co2Al5
Co1-xAlx
YCo2 YCo3 YCo5 ?Y2Co17
YAl3
YAl2
Z
τ3
τ4
τ1
τ2
(αCo)
Fig. 3: Al-Co-Y.
Isothermal section at
600°C
310
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Cu
Aluminium – Chromium – Copper
Gautam Ghosh
Literature Data
Earlier investigations [1960Zol, 1967Zar] of the phase equilibria were restricted to the Al-corner only.
[1960Zol] reported the effect of up to 2% Cr on the liquidus and solidus temperatures of Al-rich alloys.
[1967Zar] reported a partial isothermal section at 400°C. [1979Dri] presented a review of these results.
[1972Pre] reported the solid state phase equilibria of the entire ternary system at 600 and 800°C. They
prepared more than 100 ternary alloys in an arc furnace under purified Ar using the elemental metals of
following purity: 99.98 mass% Al, 99.9 mass% Cr and 99.99 mass% Cu. The alloys were sealed in
evacuated quartz tubes and annealed at 600°C for 400 h or at 800°C for 200 h, followed by quenching in
cold water. Phase identification was carried out by means of X-ray diffraction. Later, [1981Che] reported
the phase equilibria of the ternary system at room temperature. They investigated 407 ternary alloys which
were prepared, using 99.9 mass% elemental metals, in an induction furnace under vacuum or under Xe
atmosphere. The alloys were sealed in evacuated quartz tubes and were subjected to two different heat
treatment schedules: (i) annealing at 330°C for 30 days followed by slow cooling to room temperature or
(ii) annealing at 800°C for 1h followed by quenching in ice water and subsequently annealing between 340
to 350°C for 126 days followed by slow cooling to room temperature. The phase identification was
performed by means of the X-ray powder diffraction method. These results were assessed by [1991Gho].
Binary Systems
The Al-Cr binary phase diagram is accepted from [Mas]; the Al-Cu binary phase diagram is accepted from
the assessment of [2003Gro], and the Cr-Cu binary phase diagram is accepted from [2003Ans].
Solid Phases
[1958Kho] reported the solid solubility of Cr and Cu in (Al). The solubility isotherms are plotted in Fig. 1.
Recent investigations [1972Pre] and [1981Che] suggest that, in the ternary regime, the solid solubilities of
Cr in (Cu) and Cu in (Cr) are much higher than those in the binary alloys (for example see Fig. 3 and Fig.
4). These data differ with those reported by [1939Ale].
Based on the wet chemical analysis of extracted particles, [1960Zol] reported that CrAl7 dissolves at least
1.04 at.% Cu. [1972Pre] reported four ternary phases, which are designated here as 1, 2, 3 and 4, as
existing at 600°C. They can be represented as Cr23Cu20Al57, Cr20Cu10Al70, Cr15Cu13Al72 and
Cr15Cu18Al67, respectively. 3 and 4 are not stable at 800°C or above. Except for the 2 phase, other ternary
phases have nominal solid solubility. The authors [1972Pre] reported the crystal structure of the 2 phase
only. [1981Che] reported the existence of five ternary phases at room temperature, which are designated as
5, 6, 7, 8 and 9. The 5 phase has a small region of homogeneity and can be represented as
Cr4.5Cu31Al64.5. Its crystal structure was reported to be orthorhombic. The other ternary phases have solid
solubility ranges, but their crystal structures were not reported by [1981Che]. In the absence of the crystal
structure data of all the ternary phases, it is difficult to conclude whether all of them are different phases or
whether some of them are the same.
The details of the crystal structures, lattice parameters, etc. of the binary and ternary phases are listed in
Table 1.
Liquidus Surface
Experimental data on the melting equilibria of the ternary system is very meager. Figure 2 shows the
liquidus surface of the Al corner [1943Mon] which exhibits the presence of a U type and a E type invariant
reactions. Limited data of [1933Roe] and [1941Kna] suggest the ternary eutectic reaction as
L (Al)+CuAl2+Cr7Al45. Also, the vertical section reported by [1982Lit] and the observation of the
311
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Cu
(Al)+CuAl2+Cr7Al45 three-phase field at the 400°C isothermal section [1967Zar] confirm the above
eutectic reaction. The ternary eutectic occurs at about 28.5 mass% Cu, 1.5 mass% Cr, with a melting point
of about 545°C [1982Lit]. However, [1943Mon] reported that the transition reaction
L+Cr7Al45 CrAl5+(Al) followed by the presence of Cu hinders the formation of the Cr7Al45 phase, and
accordingly he proposed the transition reaction L+Cr7Al45 CrAl5+(Al) followed by the ternary eutectic,
L (Al)+CuAl2+CrAl5 for which there is no experimental evidence so far.
Isothermal Sections
The isothermal section of the Al-Cr-Cu system at 600°C [1972Pre] is shown in Fig. 3. The doubtful portion
of this diagram is shown as dotted. Except for the absence of the 3 and 4 phases, the phase boundaries at
800°C essentially remain the same as those at 600°C [1972Pre]. Figure 4 shows the isothermal section at
room temperature [1981Che]. After very slow cooling of the binary and ternary alloys, [1981Che] did not
observe the 2 phase (of the Al-Cu binary system) at room temperature. According to [1981Che], and
phases of the Al-Cr system form a solid solution ( ') well within the ternary regime, whereas they are
immiscible in ternary alloys close to the binary edge. Such a situation is quite unlikely and further
investigation in this composition range is needed. Also, the above feature was not observed in the 600°C
isothermal section by [1972Pre]. In both Figs. 3 and 4, the results along the Cu2Al-Cr2Al section are
consistent with those reported by [1964Ram] and [1965Ram]. Minor adjustments have been made in Figs. 3
and 4 in order to comply with the accepted binary phase diagrams. The doubtful portions of the phase
diagrams are shown by dashed lines.
[1967Zar] reported an isothermal section of the Al corner at 400°C. In the composition range of
Al-12.5Cr-33.3Cu (at.%), they observed an (Al)+Cr7Al45+CuAl2 three-phase field and the corresponding
two-phase fields.
Temperature – Composition Sections
Figure 5 shows the vertical section from Al to 2.5 mass% Cr [1982Lit]. Addition of Cr to Al-Cu alloys
increases the (Cu)+ 1 transformation temperature [1969Hor].
Thermodynamics
Experimental thermodynamic data and CALPHAD modeling of phase equilibria are known only for the
relevant binary systems.
Notes on Materials Properties and Applications
[2000Grz] investigated the effect of 1.65 at.% Cr on the properties of Al-9.9Cu (at.%) alloy. They found
that Cr addition reduces phase coarsening at high temperature and refines 2 lamellae in the eutectoid
microstructure. The quenched microstructure consists of fine acicular ’+ ’1 martensite. Refinement of
microstructure leads to significant increase in strength without any significant change in ductility, both in
annealed and quenched conditions.
[1983Sid] determined the resistivity and the temperature coefficient of resistivity of vapor deposited
thin-film, Cu-rich ternary alloys.
Miscellaneous
Recently, the ternary system has received renewed interest because of the ability to synthesize quasicrystals
in Al-rich compositions. In particular, compositions around Cr15Cu20Al65 [1988Tsa, 1991Eba, 1992Sel,
1995Kha, 1997Kha, 1999Qi, 2001Pon], Cr20Cu10Al70 [1992Oka], Cr15CuxAl85-x (0 x 20) [1993Sel]
have been investigated extensively. The quasicrystals are mainly two types: icosahedral and decagonal. A
lower e/a ratio favors the former while a higher e/a favor the latter. The stability [1999Qi] and bulk modulus
[2001Pon] of the quasicrystals is also related to the e/a ratio.
312
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Cu
[1988Tsa] rapidly solidified the alloy Cr15Cu20Al65 and showed that a quasi-crystalline icosahedral phase
forms. For compositions Cr15CuxAl85-x a quasi-crystalline phase forms on rapid solidification of alloys with
x = 0 and 5. For x = 10 and 15, a mixture of CuAl2 and a quasi-crystalline phase is formed. At x = 20 only
the quasi-crystalline phase forms. On heating at 40 K min-1 up to 600°C the Cr15Cu20Al65 quasi-crystalline
phase showed no exothermic effects. The high thermal stability, as confirmed by unpublished work,
indicates the formation of a thermodynamically stable quasi-crystalline phase in conventionally solidified
material. [1992Oka] observed that the decagonal quasicrystal in Cr20Cu10Al70 is stable up to 1000°C. It is
worth noting that the 4 phase [1972Pre] is close in composition to the alloy Cr15Cu20Al65.
A detailed description of these quasicrystals can be found in the comprehensive review by [1996Yam].
References
[1931Pre] Preston, G.D., “An X-ray Investigation of some Copper-Aluminium Alloys”, Philos. Mag.,
12, 980-993 (1931) (Crys. Structure, Experimental, 11)
[1933Roe] Röntgen, P., Koch, W., “Influence of Heavy Metals on Aluminium Alloys” (in German),
Z. Metallkd., 25, 182-185 (1933) (Equi. Diagram, Experimental, *, 8)
[1937Bra] Bradley, A.J., Lu, S.S., “An X-Ray Study of the Chromium-Aluminium Equilibrium
Diagram”, J. Inst. Met., 60, 319-337 (1937) (Crys. Structure, Experimental, Equi. Diagram,
8)
[1939Ale] Alexander, W.O., “Annealing Characteristics and Solid Solubility Limits of Copper and
Copper Alloys Containing Chromium”, J. Inst. Met., 64, 93-112 (1939) (Equi. Diagram,
Experimental, *, 11)
[1941Kna] Knappwost, A., Nowotny, H., “Magnetic Investigation of Aluminium - Chromium - Copper
System” (in German), Z. Metallkd., 33, 153-157 (1941) (Equi. Diagram, Experimental, #, *,
27)
[1943Mon] Mondolfo, L.F., “Aluminium - Chromium - Copper” in “Metallography of Aluminium
Alloys”, New York, 69-70 (1943) (Equi. Diagram, Review, 2)
[1958Kho] Khokhlev, V.M., “Physicochemical Investigation of the Joint Solubility of Cu and Cr in Al”
(in Russian), Izv. V.U.Z. Tsvetn. Met., (4), 136-141 (1958) (Equi. Diagram, Experimental,
#, *, 7)
[1960Zol] Zoller, H., “The Influence of Zn, Mg, Si, Cu, Fe, Mn and Ti on the Primary Crystallisation
of Al7Cr” (in German), Schweiz. Arch. Angew. Wiss. u. Techn., 26, 478-491 (1960) (Equi.
Diagram, Experimental, *, 33)
[1963Koe] Koester, W., Watchel, E., Grube, K., “Structure and Magnetic Properties of
Aluminium-Chromium Alloys” (in German), Z. Metallkd., 54, 393-401 (1963) (Equi.
Diagram, Crys. Structure, Thermodyn., Magn. Prop., Experimental, 33)
[1964Ram] Raman, A., Schubert, K., “The Occurrence of Zr2Cu- and Cr2Al-type Intermetallic
Compounds” (in German), Z. Metallkd., 55, 798-804 (1964) (Crys. Structure, Experimental,
23)
[1965Ram] Raman, A., Schubert, K., “On the Crystal Structure of some Alloy Phases Related to TiAl3.
III. Investigation in Several T-Ni-Al and T-Cu-Al Systems” (in German), Z. Metallkd., 56,
99-104 (1965) (Crys. Structure, Experimental, 14)
[1967Zar1] Zarechnyuk, O.S., Malinkovich, A.N., Lalayan, E.A., Markiv, V.Ya., “X-Ray Investigation
of Aluminium-Rich Alloys of the Ternary Al-Cu-Cr, Al-Cu-Zr and Al-Cr-Zr Systems and
the Quaternary Al-Cu-Cr-Zr System”, Russ. Metall. (Engl. Transl.), 6, 105-107 (1967)
(Equi. Diagram, Experimental, 2)
[1969Hor] Hori, M., “On the Effects of Cr and Ti on the Eutectoid Transformation of Cu-Al Binary
Alloys” (in Japanese), J. Japan Inst. Metals, 33, 1073-1077 (1969) (Equi. Diagram,
Experimental, #, *, 4)
[1972Pre] Prevarsky, A.P., Skolozdra, R.V., “The Cr-Cu-Al System” (in Russian), Izv. Akad. Nauk
SSSR, Met., (1), 193-195 (1972) (Equi. Diagram, Experimental, #, *, 14)
313
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Cu
[1977Bra] Brandon, J.K., Pearson, W.B., Riley, P.W., Chieh, C., Stokhuyzen, R., “ -Brasses with R
Cells”, Acta Crystallogr., 3B, 1088-1095 (1977) (Crys. Structure, Experimental, 16)
[1977Vis] Visser J.W., “On The Structure of Chromium-Aluminum (Cr5Al8) 26r A Correction”, Acta
Crystallogr., Sect. B, 33B(1), 316 (1977) (Experimental, Crys. Structure)
[1979Dri] Drits, M.E., Bochvar, N.R., Guzei, L.S., Lysova, E.V., Padezhnova, E.M., Rokhlin, L.L.,
Turkina, N.I., “Cu-Al-Cr” (in Russian) in “Binary and Multicomponent Copper-Base
Systems”, Nauka, Moskow, 82-83 (1979) (Equi. Diagram, Review, 2)
[1981Che] Chen, R.-Z., Lin, C.-J., Li, D.-X., Zheng, J.-X., “The Room-Temperature Section of the
Phase Equilibrium Diagram of the Al-Cr-Cu Ternary System” (in Chinese), Acta Phys. Sin.
(Chin. J. Phys.), 30(4), 555-558 (1981) (Equi. Diagram, Experimental, #, *, 9)
[1982Lit] Litvin, B.N., Zinkovskii, G.V., “Effect of Transition Elements on the Aluminium - Copper
Phase Diagram” (in Russian), Elek. Svoist. Tverd. Tel i Preva., Saransk, 124-128 (1982)
(Equi. Diagram, Experimental, #, *, 3)
[1983Sid] Sidorenko, S.I., Kotenko, I.E., Lysova, E.V., Bochvar, N.R., “Electrophysical Properties
and Phase Composition of Cu-Cr-Al Condensates” (in Russian), Izv. Akad. Nauk SSSR,
Met., (3), 189-192 (1983) (Equi. Diagram, Experimental, 6)
[1985Mur] Murray, J.L., “The Aluminium - Copper System”, Int. Met. Rev., 30, 211-233 (1985) (Equi.
Diagram, Review, #, *, 230)
[1988Tsa] Tsai, A.-P., Inoue, A., Masumoto, T., “New Quasicrystals in Al65Cu20M15 (M = Cr, Mn or
Fe) Systems Prepared by Rapid Solidification”, J. Mater. Sci. Lett., 7, 322-326 (1988)
(Crys. Structure, Experimental, 17)
[1989Ell] Ellner, M., Braun, J., Predel, B., “X-Ray Investigations on Cr-Al Phases of the W-Family”
(in German), Z. Metallkd., 80, 374-383 (1989) (Equi. Diagram, Crys. Structure,
Experimental, 38)
[1991Gho] Ghosh, G., “Aluminium-Chrmium-Copper”, MSIT Ternary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; Document ID: 10.16050.1.20 (1991) (Equi. Diagram, Review, #, *, 17)
[1991Eba] Ebalard, S., Spaepen, F., “Approximants to the Icosahedral and Decagonal Phases in the
Al-Cu-Cr System”, J. Mater. Res., 6(8), 1641-1649 (1991) (Crys. Structure, Experimental,
15)
[1992Oka] Okabe, T., Furihata, J.-I., Morishita, K., Fujimory, H., “Decagonal Phase and
Pseudo-Decagonal Phase in the Al-Cu-Cr System”, Philos. Mag. Lett., 66(5), 259-264
(1992) (Crys. Structure, Experimental, 14)
[1992Sel] Selke, H., Vogg, U., Ryder, P.L., “Approximants of the Icosahedral Phase in as-cast
Al65Cu20Cr15”, Philos. Mag. B, 65(3), 421-433 (1992) (Calculation, Crys. Structure, Equi.
Diagram, Experimental, 36)
[1993Sel] Selke, H., Ryder, P.L., “Decomposition of Icosahedral Quasicrystals in Al-Cu-Cr Alloys”,
Mater. Sci. Eng. A, 165, 81-87 (1993) (Crys. Structure, Equi. Diagram, Experimental, 22)
[1994Mur] Murray, J.L., “Al-Cu (Aluminium - Copper)” in “Phase Diagrams of Binary Copper
Alloys”, ASM, Subramanian, P.R. (Eds), 18-42 (1994) (Calculation, Crys. Structure, Phys.
Prop., Theory, 65)
[1995Kha] Khare, V., Lalla, N.P., Tiwari, R.S., Srivastava, O.N.,“On the New Structural Phases in
Al65Cu20Cr15 Quasicrystalline Alloy”, J. Mater. Res., 10(8), 1905-1912 (1995) (Crys.
Structure, Experimental, 19)
[1996Yam] Yamamoto, A., “Crystallography of Quasiperiodic Crystals”, Acta Crystallogr., Sect. A:
Found. Crystallogr., 52, 509-560 (1996) (Calculation, Crys. Structure, Review, 211)
[1997Kha] Khare, V., Tiwari, R.S., Srivastava, O.N., “On the Curious Structural Phases in Al-Deficient
(Al62Cu23Cr15) and Al-Rich (Al68Cu17Cr15) Quasicrystalline Alloys”, Cryst. Res.
Technol., 32(4), 545-552 (1997) (Crys. Structure, Experimental, 9)
[1998Mur] Murray, J.L., “The Al–Cr (Aluminium–Chromium) System”, J. Phase Equilib., 19(4),
368-375 (1998) (Equi. Diagram, Assessment, Calculation, Review, #, *, 43)
314
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Cu
[1999Qi] Qi, Y.H., Zhang, Z.P., Hei Z. K., Dong, C., “The Microstructure Analysis of Al-Cu-Cr
Phases in Al65Cu20Cr15 Quasicrystalline Particles/Al Base Composition”, J. Alloy. Compd.,
285, 221-228 (1999) (Crys. Structure, Experimental, 10)
[2000Grz] Grzegorzewicz, T., Kuznicka, B., Krajczyk, L., “Modifying Effect of Zirconium on an
Aluminium-Chromium Bronze”, Z. Metallkd., 91(6), 489-493 (2000) (Equi. Diagram,
Experimental, Mechan. Prop., 5)
[2001Pon] Ponkratz, U., Nicula, R., Jianu, A., Burkel, E., “In Situ High Pressure X-ray Diffraction
Study of Icosahedral Al-Cu-TM (TM = V, Cr, Mn) Alloys”, J. Phys., Condens. Matter, 13,
549-555 (2001) (Crys. Structure, Experimental, 16)
[2002Gul] Gulay, L.D., Harbrecht, B., “The Crystal Structures of the 1 and 2 Phases in the Al-Cu
System”, Abstr. VIII Int. Conf. ”Crystal Chemistry of Intermetallic Compounds”,
September 2002, Lviv, P139, 73 (2002) (Crys. Structure, Experimental, 5)
[2003Ans] Ansara, I., Ivanchenko, V., “Cr-Cu (Chromium-Copper)”, MSIT Binary Evaluation
Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International
Services GmbH, Stuttgart, to be published, (2003) (Equi. Diagram, Assessment, 29)
[2003Cor] Cornish, L., Saltykov, P., Cacciamani, G., Velikanova, T., “Al-Cr (Aluminum -
Chromium)”, MSIT Binary Evaluation Program, in MSIT Workplace, Effenberg, G. (Ed.),
MSI, Materials Science International Services GmbH, Stuttgart, to be published, 2003
(Equi. Diagram, Review, 51)
[2003Gro] Gröbner, J., “Al-Cu (Aluminium - Copper)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart, to be published, (2003) (Equi. Diagram, Review, 68)
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
< 660.452
cF4
Fm3m
Cu
a = 404.96 [Mas2], pure Al at 24°C
(Cr)
< 1863
cI2
Im3m
W
a = 288.4 [V-C], pure Cr at 27°C
(Cu)
< 1085
cF4
Fm3m
Cu
a = 361.48 [V-C], pure Cu at 25°C
CrAl7(Cr2Al13)
mC104
C2/m
V7Al45
a = 2519.6
b = 757.4
c = 1094.9
= 128.7
at room temperature 13.5 at.% Cr
[2003Cor]
315
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Cu
Cr2Al11
(CrAl5)
Orthorhombic
oC584
Cmcm
a = 1240
b = 3460
c = 2020
a = 1252.1
b = 3470.5
c = 2022.3
a = 1260
b = 3460
c = 2000
quenched from 920°C
16.9 to 19.2 at.% Cr;
[2003Cor]
single crystal
“ CrAl4”
[2003Cor]
“ CrAl4” [2003Cor]
, CrAl4< 1031
hP574
P63/mmc
MnAl4
a = 1998
c = 2467
a = 2010
c = 2480
at room temperature,
20.9 ± 0.3 at.% Cr [2003Cor]
20.6 to 21.2 at.% Cr [2003Cor];
22.3 ± 0.1 at.% Cr
at Cr-rich border at 1000°C [2003Cor]
Cr4Al9 cI52
I43m
Cu4Al9
a = 912.3 ~31 to 45 at.% Cr quenched from liquid
[1941Kna, Mas2];
29 at.% Cr at Al-rich border at 920°C
[2003Cor]
Cr4Al9< 700 (?)
hR52
R3m
Cr4Al9
a = 1291
c = 1567.7
32.8 to 35 at.% Cr
[Mas2, 2003Cor]
, Cr4Al9 1060
---
---
---
--
---
---
Cr5Al8 1100 (?)
cI52
I43m
Cu5Zn8
a = 910.4 to 904.7 30 to 42 at.% Cr, quenched from liquid
[1989Ell]
Cr5Al8 1100 (?)
hR26
R3m
Cr5Al8
a = 1271.9
c = 793.6
a = 1272.8
c = 794.2
a = 1281.3
c = 795.1
[1977Vis, Mas2]
[1977Bra]
[1989Ell]
, Cr2Al
< 910
tI6
I4/mmm
MoSi2
a = 300.45
c = 864.77
a = 300.5 to 302.8
c = 864.9 to 875.5
~65.5 to ~71.4 at.% Cr
[1937Bra, 1963Koe, 1998Mur]
[1989Ell]
1 cF16
Fm3m
BiF3
a = 585 Metastable, supercell of [1994Mur]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group
Prototype
Lattice Parameters
[pm]
Comments/References
316
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Cu
2, Cu1-xAlx< 363
-
long period
superlattice
TiAl3)
a = 366.6
c = 367.5
a = 366.8
c = 367.7
a = 366.8
c = 368.0
[1985Mur], at 77.9 at.% Cu
[1985Mur], at 77.2 at.% Cu
[1985Mur], at 76.4 at.% Cu
solid solubility ranges from 76.5 to 78.0
at.% Cu
, Cu1-xAlx1037-964
cI2
Im3m
W
- [1985Mur], solid solubility ranges from
67.6 to 70.2 at.% Cu
0, Cu2Al
1037-800
cI52
I43m
Cu5Zn8
- [1985Mur], solid solubility ranges from
59.8 to 69.0 at.% Cu
1, Cu9Al4 890
cP52
P43m
Cu9Al4
a = 871.32 [V-C], at 69.23 at.% Cu
solid solubility ranges from 62.5 to 69.0
at.% Cu
, Cu1-xAlx< 686
hR*
R3m
a = 1226
c = 1511
[1985Mur, V-C], at 61.6 at.% Cu
solid solubility ranges from 59.3 to 61.9
at.% Cu
1, Cu1-xAlx958-848
cubic(?) - [1985Mur], solid solubility
ranges from 59.4 to 62.1 at.% Cu
2, Cu2-xAlx850-560
hP6
P63/mmc
Ni2In
a = 414.6
c = 506.3
[V-C], at 57.5 at.% Cu
solid solubility ranges from 55.0 to 61.1
at.% Cu
1, Cu47.8Al35.5(h)
590-530
oF88 - 4.7
Fmm2
Cu47.8Al35.5
a = 812
b = 1419.85
c = 999.28
55.2 to 59.8 at.% Cu [Mas2, 1994Mur]
structure: [2002Gul]
2, Cu11.5Al9(r)
< 570
oI24 - 3.5
Imm2
Cu11.5Al9
a = 409.72
b = 703.13
c = 997.93
55.2 to 56.3 at.% Cu [Mas2, 1985Mur]
structure: [2002Gul]
1, CuAl(h)
624-560
o*32 a = 408.7
b = 1200
c = 863.5
49.8 to 52.4 at.% Cu
[V-C2, Mas2, 1985Mur]
Pearson symbol: [1931Pre]
2, CuAl(r)
< 560
mC20
C2/m
CuAl(r)
a = 1206.6
b = 410.5
c = 691.3
= 55.04°
[1985Mur], unknown composition,
solid solubility ranges from 49.8 to 52.3
at.% Cu
, CuAl2< 591
tI12
I4/mcm
Al2Cu
a = 606.3
b = 487.2
solid solubility ranges from 31.9 to 33.0
at.% Cu [V-C]
* 1, Cr23Cu20Al57
< 800
? - [1972Pre], nominal solid solubility
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group
Prototype
Lattice Parameters
[pm]
Comments/References
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Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Cu
* 2, Cr20Cu10Al70
< 800
? - [1972Pre], Al varies from 70 to 75 at.%
and Cu varies from 5 to 10 at.%
* 3, Cr15Cu13Al72
< 800
? - [1972Pre], nominal solid solubility
* 4, Cr15Cu18Al67 hP* a = 1282.0
c = 1271.0
[1972Pre], nominal solid solubility
* 5, Cr4.5Cu31Al64.5 oP* a = 409.04
b = 349.82
c = 290.28
[1981Che], nominal solid solubility
* 6, Cr17Cu8Al75 ? - [1981Che], Cr varies from 16.2 to 18.0
at.% and Cu varies from 5.2 to 8.6 at.%
* 7, Cr16Cu4Al80 ? - [1981Che], Cr varies from 15.5 to 16.6
at.% and Cu varies from 2.6 to 7.4 at.%
* 8, Cr20Cu4Al76 ? - [1981Che], Cr varies from 19.0 to 20.5
at.% and Cu varies from 0.6 to 6.5 at.%
* 9, Cr18Cu4Al78 ? - [1981Che], Cr varies from 17.5 to 18.0
at.% and Cu varies from 2.0 to 5.3 at.%
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group
Prototype
Lattice Parameters
[pm]
Comments/References
Cr 2.50Cu 0.00Al 97.50
Cr 0.00Cu 2.50Al 97.50
Al Data / Grid: at.%
Axes: at.%
200300
400
500
Fig. 1: Al-Cr-Cu.
Solvus surface of the
(Al) phase
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Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Cu
10
20
10 20
80
90
Cr 25.00Cu 0.00Al 75.00
Cr 0.00Cu 25.00Al 75.00
Al Data / Grid: at.%
Axes: at.%
CrAl5
CuAl2
E
(Al)
Cr7Al45
0.2 at.%1.1 at.%
Fig. 2: Al-Cr-Cu.
Liquidus surface of
the Al-corner
20
40
60
80
20 40 60 80
20
40
60
80
Cr Cu
Al Data / Grid: at.%
Axes: at.%
(Cu)
β
γ1
δ
ε2
η1
L
(Al)
CrAl7
µαCr4Al9
βCr4Al9
αCr5Al8
η
(Cr)(Cu)+β+(Cr)
γ1+η+(Cr)
η+γ1+αCr5Al8
τ1
τ2 τ4
τ3
β+γ1+(Cr)
(Cr)+(Cu)
Fig. 3: Al-Cr-Cu.Isothermal section at
600°C
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Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Cu
20
40
60
80
20 40 60 80
20
40
60
80
Cr Cu
Al Data / Grid: at.%
Axes: at.%
(Cr)
η
αCr5Al8
βCr4Al9
αCr4Al9
µ
CrAl7
(Al)
η2
µ2
δγ1
(Cu)
τ8
τ9
τ7
τ6
τ5
(Cr)+(Cu)
(Cr)+γ1
η+γ1+αCr5Al8
θ
80 90400
500
600
700
800
Cr 1.70Cu 22.40Al 75.90
Cr 1.30Cu 0.00Al 98.70Al, at.%
Tem
pera
ture
, °C
(Al)+Cr7Al45+CuAl2
(Al)+Cr7Al45
L+(Al)+Cr7Al45
L+Cr7Al45
L+CuAl2+Cr7Al45
L
L+CrAl5+Cr7Al45
L+CrAl5
Fig. 4: Al-Cr-Cu.
Isothermal section at
room temperature
Fig. 5: Al-Cr-Cu.
Vertical section at
2.5 mass% Cr
320
Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Fe
Aluminium – Chromium – Iron
Gautam Ghosh, updated by Tamara Velikanova, Kostyantyn Korniyenko, Vladislav Sidorko
Literature Data
Although the Al-Cr-Fe system has undergone many investigations, the Al-Cr-Fe equilibrium diagram has
not been determined in the whole composition range. After assessment of [1991Gho] in accordance with
which there are no ternary phases in the system, many reports with data on ternary phases in the Al-rich part
of phase diagram appeared. The major part of the earlier work has been done by Kornilov [1940Kor1,
1940Kor2, 1945Kor, 1946Kor] and Kozheurov [1970Koz1] and [1970Koz2]. Kornilov used Armco grade
Fe (0.25 mass% C, 0.05 mass% Si and traces of Mn), Al pigs (0.1 mass% Si, 0.1 mass% Cu), Al powder
(0.1 mass% Si, 0.1 mass% Cu), chromium oxide of unspecified purity and analytically pure iron oxide. The
Fe and Cr rich alloys were prepared by the aluminothermic process, which was also used by other
investigators [1932Tai1, 1932Tai2, 1943Mon, 1951Pra, 1953Cas, 1954Chi, 1955Tag] and [1958Chu].
Thermal analysis was performed to monitor the solidification process in an induction furnace in insulated
corundum crucibles and under an inert atmosphere of He-Ar. [1932Tai1] and [1932Tai2] used Armco grade
Fe (0.14 mass% Si), Al (0.17 mass% Si, 0.6 mass% Fe), and the liquidus surface was determined by thermal
analysis. Atomic ordering and lattice parameters of Cr1-xFexAl alloys were studied by [1969Kal] using
neutron diffraction. [1951Pra] have experimentally determined two isothermal sections at 425 and 600°C,
in the Al-rich corner. [1958Chu] determined isothermal sections using high-purity Al (99.994 mass%),
iodide Cr (99.988 mass%), and electrolytic Fe (99.994 mass%) having extremely low contents of interstitial
elements C, H, O, and N. Alloys were prepared by arc melting, followed by homogenizing treatment at
1000°C for 100 h. Final heat treatments were done under an argon atmosphere in silica capsules with
subsequent quenching into water. Phase analysis was carried out by optical metallography, X-ray
diffraction, and hardness testing. [1955Tag] and [1958Tag] studied the effect of Al addition to Cr-Fe binary
alloys on the formation of the phase by means of optical microscopy, X-ray diffraction and hardness
measurements. The effect of Cr on the stability of 1Fe3Al and 2FeAl and the transition from ( Cr), ( Fe)
or 1 to 2 has been studied by X-ray diffraction, dilatometry [1968Bul, 1969Bul1] and [1969Bul2] and
also by high-temperature X-ray diffraction [1969Sel]. The details of the ordering nature in the ternary
(Cr,Fe)3Al alloys have been studied by X-ray and neutron diffraction [1972Kaj, 1974Niz, 1975Lit] and
[1977Tys]. [1982Yea] investigated Al-based alloys of four compositions prepared by extrusion at 260°C
and annealed at 400°C for 100 h. [1997Pal] reported an isothermal section in the Al-rich corner at 1000°C
established by metallography, EMPA and X-ray investigations of quenched samples. [1997Pal] used iron
99.97, aluminium 99.99, and chromium 99.53 mass% with 0.35 mass% iron as a main impurity. Alloys of
18 compositions with more than 50 at.% Al were prepared by levitation melting and annealed at 1000°C for
100 h followed by quenching in ice brine. [1988Ten, 1989Law1, 1989Law2, 1992Don, 1995Sui, 1995Zha,
1997Sui, 1998Lia, 1999Sui, 2000Mo, 2000Dem, 2001Dem, 2002Dem1] and [2002Dem2] reported ternary
phases of monoclinic, orthorhombic as well as hexagonal structures found in alloys in the range of
compositions 65 to 81 at.% Al and 6 to 15 at % Cr, which were under investigation. Initial Al used in these
studies was of 99.99 or higher purity, Fe 99.5, Cr 99.9 mass%. The alloys were prepared by either arc
melting [1995Sui, 1997Sui, 1998Lia, 1999Sui] or induction levitation melting under pure helium
atmosphere [2000Dem, 2001Dem, 2002Dem1, 2002Dem2] and investigated in the as-cast or annealed state.
[2001Dem, 2002Dem2] annealed the samples at temperatures in the range 900 to 1050°C for 20 h
depending on the alloy and cooled at a conventional rate. TEM, HREM, at a SEM-(EDX, WLDX), XRD
were used for investigation of alloys. [2000Mo] established the crystal structure of the hexagonal ternary
Cr11Fe8Al81 phase, labelled by him as , using TEM, HREM and X-ray diffracton methods. The alloy of
the nominal composition Cr2FeAl12 was prepared by induction melting a mixture of high-purity Al
(99.9999 mass%), Fe (99.5 mass %), and Cr (99.9 mass %) and cooled in a sand bath. The chemical
composition of a hexagonal needle-like single crystal of the Cr11Fe8Al81 phase selected in the cavities of
the cast ingots was determined by electron microprobe analysis. The hexagonal phase is supposed to have
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Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Fe
the largest cell among intermetallics. The icosahedral ternary i phase in coexistence with the Al solid
solution was found by [1995Zia] and [1995Sta] in Cr-3.1Fe-94.7Al and Cr-8Fe-86Al (at.%) alloys,
respectively. The alloys were prepared by induction melting followed by centrifugal atomization after
heating at 1200°C and then degassed at 330°C for 3 h [1995Zia] and by arc melting followed by a spinning
process [1995Sta]. As-cast and annealed alloys were investigated by TEM, SEM-EDX, X-ray, convergent
beam technique (CBT), DSC [1995Zia] and XRD, DSC, Moessbauer spectroscopy and magnetic
susceptibility [1995Sta].
Binary Systems
The Al-Cr and Al-Fe systems are accepted from [2003Cor] and [2003Pis], respectively. Data concerning
the Cr-Fe system are from [Mas2, 1982Kub].
Solid Phases
Crystallographic data on the known unary and binary phases as well as recently reported ternary ones are
listed in Table 1. Seven ternary phases with crystal structures different from those of the binary
intermetallics are reported in the ternary Al rich alloys solidified and consequently (directly or after
homogenization) cooled at conventional rate. One of them, Cr11Fe8Al81, can be believed to be a stable
ternary compound at high temperature. This hexagonal phase investigated by [2000Mo] was found in the
CrFe2Al12 alloy by [1999Sui] as the main phase together with orthorhombic “O-CrFeAl” and monoclinic
“M-CrFeAl”. Body centered orthorhombic phase, labelled as “O-CrFeAl” was observed in Al rich as-cast
alloys (prepared by arc melting) by [1995Sui, 1996Ros, 1997Sui, 1998Lia] and also [2000Dem]. Found
together with O phase, C-centered monoclinic ternary phase “M-CrFeAl” has a structure which is
considered a superstructure of “O-CrFeAl”. The lattice correspondence between the lattice parameters of
the M- and O-phases are as follows:
am = co bo (am = co /sin ),
bm = ao
cm = 2bo
Three orthorhombic phases “O-CrFeAl”, “O1-CrFeAl” and “C3.1-CrFeAl” additionally to Al-solid solution
were found by [2000Dem] in as-cast alloy of Cr11Fe8Al81 nominal composition, prepared by levitation
melting. Phases with the same crystal structure as the two latter ones, O1- and the O3.1-, earlier were
observed in Al-Cr-Cu-Fe by [1992Don], as well as in Al-Mn-Ni and Al-Pd-Ru by [1988Ten] and
[1995Zha], respectively. A new “O2-CrFeAl” phase together with orthorhombic phases “O-CrFeAl”,
“O1-CrFeAl” as well as Al8Cr5, which is isostructural with -brass, were obtained by [2001Dem] in alloys
of the compositions (at.%): Cr-6.0Fe-77.5Al (O+O1+hexagonal phase type), Cr-8.0Fe-72.5Al
O+O2+hexagonal type), Cr-6.0Fe-72.5Al (O1+O), as well as Cr-9.1Fe-67.6Al (hexagonal type). The
alloys after induction melting were annealed in the range 900 to 1050°C for 20 h. The O2-phase is for the
first time observed in this system, but a phase with the same structure was identified before in Al-Cr-Cu-Fe
by [1992Don, 1995Li]. The orthorhombic O1 and O2 phases were observed by [2002Dem1, 2002Dem2] in
the alloy of Cr-6.0Fe-77.5Al (at.%) composition, prepared by induction melting, subsequently crushed and
pressed in a graphite mold and then sintered at 980 and 1060°C. In the alloy of the same composition which
was annealed at 900 to 1050°C for 20 h directly after melting the O1- and O-phases coexist. Both
[2002Dem1] and [2002Dem2] found a -brass-like phase in the Cr-7Fe-65Al (at.%) alloy as single phase
with somewhat shorter lattice parameters. The last fact, which is in agreement with data of [1997Pal] for
1000°C, demonstrates the high solubility of Fe in the Cr8Al5(r) phase, and supports the results concerning
orthorhombic phases. As one can see, most of the investigated alloys were not in an equilibrium state.
Quenching experiments were not made. Except for the Cr11Fe8Al81, the composition of the reported
ternary phases are unknown. The latter may be either ternary compounds or stable or unstable
polymorphous modifications of the binary intermetallics because of their close structural relationship to
each other.
There is a body centred cubic continuous solid solution (Fe,Cr,Al) in the system and a wide field of
ordered phases 2 (FeAl) and 1 (Fe3Al) based on the b.c.c. lattice. FeAl dissolves more than 30 at.% Cr at
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Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Fe
600°C at the equiatomic Al/Fe ratio according to [1991Tre, 1997Pal]. Fe3Al can dissolve a considerable
amount of Cr (more than 26%) [1968Bul, 1969Bul1] and [1969Bul2], which leads to some increase in both
Fe3Al FeAl and FeAl ( Fe) transition temperatures [1969Bul2] and [1969Sel]. [1972Kaj] suggested that
at certain compositions Fe occupies one sublattice while Cr and Al occupy the other. [1993Kni] found that
the alloys on the basis of Fe3Al with 2 and 5 mass% Cr (about 1.3 and 3.3 at.% Cr, respectively) have an
equilibrium structure of the BiF3 type (cF16) at low temperatures which transforms to the CsCl type
structure (cP2) above 500°C. The crystal structures of alloys in a similar range of compositions were
investigated also by [1999Wit]. [1976Vla] studied the decomposition behavior of a Cr-68.3Fe-10.4Al
(at.%) alloy after quenching from 750°C and subsequent annealing at 490°C for up to 200 h by means of
Mössbauer spectroscopy, low-angle X-ray scattering and TEM. Though no ternary phase was detected upon
annealing, the authors observed phase separation into two isomorphous solid solutions which were depleted
or enriched with Cr. Coordinates of the (( Fe)+( Fe))/( Fe) surface of the ( Fe)-loop in the Al-Cr-Fe
system are given in Table 2 based on the microstructural, hardness, electrical resistivity, and dilatometry
results on eight ternary alloys heat treated between 800 and 1300°C [1946Kor].
All binary intermetallics of the ternary system dissolve the third component. Cr2Al is reported by [1969Kal]
to dissolve Fe up to x = 0.25 replacing Cr atoms in the lattice. Data on the lattice parameters of (Cr1-xFex)2Al
as a function of x are listed in Table 1. [1951Pra] reported that the extracted crystals of (Cr2Al13) and
(Cr2Al11) (from alloys cooled slowly to room temperature from the liquid phase) dissolved iron. The
observed compositions of Cr2Al13 and Cr2Al11 at maximum Fe solubilities were Cr-5.49Fe-75.05Al
(mass%) Cr-3.02Fe-85.48Al (at.%)) and Cr-13.47Fe-67.96Al (mass%) Cr-7.73Fe-80.81Al (at.%)),
respectively. [1960Zol1] and [1960Zol2] also analyzed Cr2Al13 crystals from alloys with various Fe
contents. The solid solubility data of [1960Zol1] and [1960Zol2] showed a lower Fe solubility in Cr2Al13
of 2.36 mass% (1.3 at.%) Fe, but it was not certain to be a maximum value. The data of [1951Pra] show that
the replacement of Cr for Fe deviates from a simple one-to-one atomic substitution scheme, but that in
[1960Zol1] and [1960Zol2] is somewhat closer to one-to-one atomic replacement. Solution of Fe in Cr2Al13
is reported to cause a reduction in the lattice parameter of the Cr2Al13 phase [1960Zol1] and [1960Zol2].
FeAl3 is reported to dissolve some Cr, and the FeAl3 composition, according to chemical analysis data, is
Cr-39.89Fe-56.17Al (mass%) (Cr-24.87Fe-72.49Al (at.%)) [1951Pra]. But the value 2.64 at.% for Cr
solubility in FeAl3 can not be accepted as maximal, because according to [1997Pal], the solid solubility of
Cr in FeAl3 at 1000°C is considerably higher - about 6.4 at.%. All Al-rich phases that are in a solid state at
1000°C (based on FeAl3, Fe2Al5, FeAl2, Cr4Al9 and Cr5Al8) extend deep into the ternary system. The
maximum solubilities of the third component at 1000°C are observed for the Cr5Al8 and Cr4Al9 phases -
32.5 and 9.6 at.% Fe, respectively. The lattice parameters of the, Cr5Al8 (r) ( 2) phase versus Fe content are
presented in Fig. 1. [1990Ioa] found that the rapidly solidified alloy Cr-1Fe-95Al (mass%)
(Cr-0.5Fe-97.37Al at.%)) exhibits a mixed microstructure composed of featureless and cellular
morphologies. According to X-ray data, the equilibrium Cr2Al13 phase coexists in the alloy with the
aluminium matrix and an unknown phase. Taking into account the data of [1995Zia] and [1995Sta], the
latter could be a ternary quasicrystalline phase with an icosahedral symmetry, see Table 1. [1995Zia] found
the i phase, named Q by him, in the Cr3FezAlx (z = 0, 1 or 3 at.%) alloys, using X-ray diffraction. The
accepted composition of the phase Cr12±1Fe12±1Al75±0.5, was established using chemical microanalysis.
During the “low” temperature sequences of the rapidly solidified alloys, the Q phase reacts with the Al
matrix giving rise to the non-equilibrium and equilibrium phases: (Al)+Q FeAl6+Cr2Al13+FeAl3. At
higher temperatures (450 to 550°C), the quasicrystal transforms directly into the stable phases, by-passing
the step of the metastable FeAl6 phase formation. At the quasicrystal/matrix interface the orthorhombic
phase was observed. According to EDX analysis, the ratio (Al)/(Cr+Fe) is equal to 3.1 ± 0.1 and the content
of Cr << 1 at.%. [1995Zia] concludes that this phase is the allotropic variant of FeAl3, which is monoclinic
in the binary system. The structure of the i phase, found in a melt spun alloy of Cr8Fe6Al86 (at.%)
composition, is reported by [1995Sta] as simple icosahedral type with the value of the six-dimensional
hypercubic lattice constant a6D = 654.2 ± 0.02 pm. In a rapidly solidified alloy, the i phase coexisted with
the Al-solid solution. This mixture transformed to a mixture of stable phases Cr2Al13+FeAl3 after 5 min.
heating at 580 or 635°C. Earlier a metastable icosahedral ternary phase was also reported by [1987Wou,
1988Man, 1989Man, 1988Sch, 1989Law1, 1989Law2].
323
Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Fe
Invariant Equilibria
Figure 2 gives the tentative invariant equilibria for the Al-rich corner. The equilibrium L+Cr2Al11+FeAl3within the ternary is not known, while equilibrium L+Cr2Al13+FeAl3 is unquestioned because the existence
of the three-phase equilibrium Cr2Al13+FeAl3+(Al) is established well at temperatures close to the solidus:
500°C [1995Zia] and 635°C [1995Sta]. [1943Mon] suggested that the invariant U1 reaction takes place at
Cr-4.2Fe-93.7Al (mass%), but the temperature was not given. Careful thermal analysis data of [1932Tai1]
and [1932Tai2] show the presence of a ternary eutectic E at Cr-2Fe-97Al (mass%). On the other hand,
[1943Mon] and [1976Mon] suggested that E takes place at Cr-1.70Fe-97.95Al (mass%), to which there is
no experimental evidence. It remains inconclusive whether the ternary eutectic reaction E exists or not.
Thermodynamic calculations of the Al-rich corner of the Al-Cr-Fe system by Saunders [1987Sau] suggest
that the reaction E is unlikely and instead he predicted a ternary transition U1 reaction
L+Cr2Al11 Cr2Al13+FeAl3 at 709°C (0.63 mass% (0.33 at.%) Cr, 3.09 mass% (1.52 at.%) Fe) followed by
the ternary transition U2 reaction L+Cr2Al13 (Al)+FeAl3 at 654.5°C (0.19 mass% (0.10 at.%) Cr, 2.02
mass% (0.99 at.%) Fe). The latter shows a good agreement with the findings of [1960Zol2] and [1973Wil]
showing no ternary eutectic reaction at 640°C, but a transition reaction at 655°C. Because of this
uncertainty, alternative paths for E and U are given by broken lines in Fig. 2.
Liquidus Surface
Figures 3 and 4 show two versions for the liquidus surface of the Al corner. Fig. 3 is presented after
experimental data [1932Tai1, 1932Tai2] and [1943Mon]. The melting troughs separate 4 different areas of
primary crystallization. Ternary alloys from 100 to about 94 at.% Al have been investigated by different
authors [1932Tai1, 1932Tai2, 1951Pra, 1954Chi, 1960Zol1, 1960Zol2], and no ternary compound has been
reported by them in this composition range. The presence of the ternary eutectic E is concluded from
thermal analysis data of [1932Tai1] and [1932Tai2], even though limited thermal analysis results of
[1960Zol1] and [1960Zol2] failed to confirm it. Figure 4 is the calculated liquidus surface of the Al corner
after [1987Sau], showing the presence of the transition invariant reaction U2 instead of ternary eutectic
reaction. [1951Pra] failed to observe the (Cr2Al11) phase in binary and ternary alloys either slowly-cooled
or quenched from 730 to 765°C. In accordance with the old version of the Al-Cr binary phase diagram
adopted by [1951Pra], in which a reaction L+ takes place at 755°C instead of 790°C in the presently
accepted binary phase diagram, the obtained result seems to reject the existence of the stable Cr2Al11
compound. Nevertheless, these data are in good agreement with the Al-Cr phase diagram accepted in this
assessment. But there is no confidence that the equilibrium L+ +FeAl3 exists. It can be prevented by
possible formation of high-temperature incongruently melting ternary compounds with aluminium content
less than 94 at.%. Therefore the monovariant curves in the vicinity of U1 are dotted. The liquidus surface in
Fig. 5, after [1945Kor], shows a melting trough defining the primary crystallization field of (Cr, Fe).
Approximate isotherms at 50 K intervals are also shown. [1935Gru] reported the melting point of a
Cr-64.6Fe-5.3Al (mass%) Cr-59.86Fe-10.17Al (at.%)) alloy which agrees reasonably well with Fig. 5.
[1970Koz1] and [1970Koz2] compared the calculated and experimental results for liquidus points for
compositions from the Cr corner to about 70 mass% Fe and 40 mass% Al. The experimental values were
always 30 to 40 K lower than calculated ones, which was attributed to undercooling. Nevertheless, the
isotherms between 1500 and 1800°C agree well with those of [1945Kor]. The original publications
[1940Kor1, 1940Kor2, 1945Kor, 1946Kor] show the liquidus surface of (Cr, Fe) as terminated by the
uninterrupted monovariant curve p1p2, corresponding to the equilibrium of liquid with the (Cr, Fe) phase
and assumed continuous solid solution of the binary 1 and phases. There is reason to believe that the 1
phase has a cubic structure. If the cubic phase is isomorphous with 1, the continuous cubic solid solution
in the ternary system is possible at high temperatures. But until now the existence of a ( , ) continuous
series has not been established.
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Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Fe
Isothermal Sections
Figure 6 shows the isothermal section at 1150°C based on data of [1945Kor, 1946Kor] and [1991Tre,
1997Pal]. In the original paper [1946Kor], the two-phase “ 3+ 3” field is not very clear. Even though “ 3”
is the ternary (Cr, Fe) solid solution and 3 is the or phase, the authors made very little investigation of
the “ 3” phase and they interpreted it as a continuous solid solution between (Fe2Al3) and 1 (Cr5Al8)(h)
[1946Kor]. Since the crystal structure of is unknown, better evidence for the existence of a continuous
solid solution between (Fe2Al3) and 1 (Cr5Al8)(h) is required. On the other hand, [1997Pal] established
a large extension of 2 into the ternary system - up to 32.5 at.% Fe at about 48 at.% Al at 1000°C. The 2/
transition of the second order is shown according to the binary Al-Fe system and data of [1991Tre] on an
FeAl-Cr polythermal section. Figures 7, 8, 9, 10, and 11 show isotherms at 900, 750, 700, 650, and 600°C,
respectively, after [1958Chu], with correction in the range of the ordering of the phase according to the
experimental data of [1991Tre]. Phase equilibria between the -brass type phases are assumed by taking
into account the data of [1997Pal] for 1000°C. Phase equilibria in the Al-corner are presented after data of
[1951Pra, 1961Phi, 1995Zia, 1995Sta]. Annealing times for different alloys used by [1958Chu] are listed
in Table 3. More than 50 ternary alloys were studied by [1958Chu], most of them near the region of phase
formation. As one can see in the isothermal sections at 750, 700, 650, and 600°C, the extent of the phase
field decreases with increasing Al content. This is in agreement with the results of [1945Kor]. Even though
the phase (Cr2Al) is stable up to 911°C according to the accepted Al-Cr binary phase diagram, this phase
does not appear in the isothermal section at 900°C shown in Fig. 7. Such a difference of 11 K is not
unreasonable when comparing data from different sources [1980Riv]. In his original paper, Chubb
[1958Chu] presented a wide two-phase 2+ field in all isothermal sections of the ternary system, as well
as two three-phase ( Fe)+FeAl 2+Cr2Al( ) and FeAl 2+Cr2Al( )+Cr4Al9( ) ones, the latter two being
contiguous, which is not likely. The existence of the wide 2+ field, because of very narrow (to 1 or 2 at.%
Cr) 2 region shown by [1958Chu], is rather doubtful when the data of [1991Tre] and [1997Pal] are taken
into account. FeAl dissolves at 1000°C about 30 at.% Cr at 45 at.% Al after [1997Pal]. In agreement with
the above mentioned data, [1991Tre] showed that the extension of 2 in the FeAl-Cr section increases with
decreasing temperature down to about 28 at.% Cr at 36 at.% Al at 1000°C. The phase transition / 2 of the
second order in binary Al-Fe at high temperatures becomes first order below 665°C [1993Oka, 2003Pis]. A
rise in the / 1 temperature with increasing Cr content is reported by [1968Bul, 1969Bul1] and [1969Bul2].
The influence of Cr on the type of the ordering transition / 2/ 1 in ternary solid solution has not been
studied in detail. In the isothermal sections at 900, 750, 700, 650, and 600°C, phase ordering is presented
based on binary Al-Fe as well as on the compared data of [1991Tre, 1997Pal]. There is some contradiction
between the results of [1958Chu] and those of [1955Tag] and [1958Tag] as far as the formation of the
phase in the ternary alloys is concerned. Based on the purity of the material, heat treatment regime and
number of alloys used, the results of [1955Tag] and [1958Tag] seem to be more reliable than those of
[1958Chu]. The results of [1955Tag] and [1958Tag] on phase formation in alloys containing up to 32
mass% Al are in accordance with those of [1958Chu], but they disagree with [1958Chu] for ternary alloys
containing 35 mass% Cr. It should be emphasized that the formation of the phase is reported to be
sensitive to non-equilibrium factors arising from impurities in ternary alloys [1955Tag, 1969Mue]. Phase
equilibria above 50 at.% Al proposed in Figs. 7 to 11 are based on significant solubility of Fe in ( ) phases
at 1000°C found by [1997Pal]. A very strong temperature dependence of the solubility of Fe in and
phases can be assumed taking into account the low thermodynamic stability of the binary phase, which
coexists in equilibrium with and is stable only within close limits of the equilibrium parameters at high
temperature. It is seen in the isothermal sections. The isothermal section at 1000°C for Al content greater
than 50 at.% is presented in Fig. 12 according to [1997Pal]. The data presented by [1997Pal] for the ternary
alloys fit well to those for Al-Fe [Mas2] and Al-Cr [1992Cos, 1995Aud], respectively, as accepted in the
[2003Cor] assessment of Al-Cr. The Al solubility within the ternary Fe based solid solutions is near to that
for 1150°C but higher than reported for 900°C by [1958Chu]. While no ternary intermetallic phases have
been found at 1000°C in this work, in contradiction to above mentioned observation of the ternary phases,
the solubility of the third component in the Al-Cr and Al-Fe binary phases in some cases is very high.
Solubility of Fe in the 2 phase reaches about 30 at.% at 10 at.% Cr and 60 at.% Al. Fe stabilizes the 2
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structure so that at a content higher than about 13 at.% Fe only the 2 phase (but not 1) is reported to
participate in phase equilibria at temperatures under investigation. The solubility of Cr in the Al-Fe binary
phases is less than that of Fe in the binary Al-Cr phases as seen in Table 1. When the aluminium content
exceeds 80 at.%, the liquid and liquid-solid regions appear. Fig. 13 shows the partial isothermal section for
the Al corner at 600°C, according to the data of [1951Pra, 1961Phi]. [1951Pra] reported that undercooling
suppresses the reaction L+Cr2Al11 Cr2Al13 in both binary and ternary alloys. In the composition range
shown in Fig. 13, no ternary phase has been reported and the phase fields remain the same at 425°C with a
small shift in the phase boundaries [1951Pra]. Saunders [1987Sau] calculated the isothermal sections of the
Al-rich corners at 600 and 425°C. The agreement between the calculated (presented by dashed line in Fig.
13) and the experimental (Al)+Cr2Al13/(Al)+Cr2Al13+FeAl3 phase boundary accepted by [1951Pra] was
reported to be very good, whereas that for the (Al)+FeAl3/(Al)+Cr2Al13+FeAl3 boundary was less
satisfactory. After [1995Zia, 1995Sta], in ternary alloys at Al contents greater than 94 at.% at 635°C and
below, only (Al), Cr2Al13 and FeAl3 phases coexist in equilibrium, in agreement with [1951Pra, 1961Phi]
and [1987Sau]. The sections through the surface (( Fe)+( Fe))/( Fe) of the -loop in the ternary system
are given in Fig. 14. Further work is necessary to clarify the phase equilibria in the Al corner of the system.
Temperature – Composition Sections
Figure 15 shows the polythermal FeAl-Cr section of the phase diagram according to [1991Tre]. The alloys
containing up to 70 at.% Cr were prepared by arc melting from aluminium (99.5 mass% purity), electrolytic
chromium and carbonyl iron. The annealings were carried out at 1200°C and 1300°C for 70 h each. As can
be seen from Fig. 15, the temperature of the 2 transformation decreases with increasing the chromium
content. The 2 field extends to about 28 at.% Cr at 1000°C. Fig. 16 shows the variation in the
order-disorder reaction temperature as a function of the Cr content along the Fe3Al-CrFe3 section. In the
Fe3Al-CrFe3 isopleth taken from [1969Bul1], additional dashed boundaries are given approximately
according to the phase transformations in Fe75Al25 (at.%) by [1993Oka]. The partial isopleth along
Fe3Al-Cr3Al [1969Bul1] is in poor agreement with the general data set discussed above and is not
considered here.
[1946Kor] gave four isopleths at constant mass ratios Cr/Fe. These diagrams partially contradict the
isothermal sections shown in Figs. 6, 7, 8, 9, 10, 11, 12 and therefore are not reproduced here.
Thermodynamics
Information on thermodynamic properties of the Al-Cr-Fe alloys is incomplete. [1975Kau] used a simple
thermodynamic model to calculate the phase boundaries between liquid and (Cr, Fe) at 1747, 1647, 1547
and 1527°C. In general, there is a substantial disagreement between the calculated [1975Kau] and the
experimental phase boundaries [1970Koz2]. Applying a defect model, [1988Hoc] calculated the activity of
Cr in FeAl, assuming that FeAl is either a compound or a solid solution. The calculated results do not show
a significant discrepancy and both cases suggest complete solid solubility between Cr and FeAl. [1992Hil]
studied the vaporization of the alloy Cr-75.4Fe-4.8Al (mass%) (Cr-70.72Fe-9.32Al (at.%)) using Knudsen
effusion mass spectrometry in the temperature range 1313-1556 K. This composition virtually agrees with
those of the commercial Aluchrom and MA956 alloys. The obtained thermodynamic data are presented in
Tables 4 and 5. The heat capacities of the Fe3Al-based compound with a Cr content of 5 at.% have been
measured in the temperature range from 20 to 700°C by [1997Rud]. The results of the Cp(T) measurement
are shown in Fig. 17. [2000Sub] have reported a thermodynamic assessment of the Al-Cr-Fe system, which
was performed applying the standard CALPHAD methodology. There the old version of the Al-Cr phase
diagram [Mas2] was accepted, and no ternary phases have been assumed. A four-sublattice model for the
-brass type phases was developed. [2001Sch] calculated isopotential curves of the thermodynamic forces
for ternary diffusion as a function of composition for the Al-Cr-Fe system at 1073 and 1273 K.
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Notes on Materials Properties and Applications
Mechanical properties of the Al-Cr-Fe alloys were investigated by [1982Nao, 1991Pra, 1991Sik1,
1991Sik2 1993Kni, 1996Jim, 1998Su] and [2000Spi]. In particular, [1982Nao] obtained the ductile
supersaturated ferrite solid solution with high hardness and strength by the rapid quenching technique. The
range of its formation is limited to less than about 35 at.% Cr and 23 at.% Al. The hardness, yield strength
and tensile fracture strength increase with increasing amounts of chromium and aluminium. [1991Pra]
studied mechanical properties of ordered alloys in the composition range 50 to 80 at.% Fe, 0 to 20 at.% Cr,
that were rapidly solidified by melt spinning. An increasing preponderance of cleavage fracture with
increasing ternary substitution for iron was observed. Mechanical properties of Fe3Al-based alloys were
investigated by [1991Sik1, 1991Sik2] and [1993Kni]. According to [1991Sik1], room-temperature tensile
ductility of the samples with 2 to 5 mass% Cr (1.3 and 3.3 at.%, respectively) approach 20%, which should
be acceptable for many practical applications, and [1993Kni] established that increasing the Cr content from
2 to 5 mass% has a small effect on the ductility of the alloys based on Fe3Al. The tensile properties of the
Cr-65Fe-30Al (at.%) alloy in air and in vacuum were investigated by [1998Su]. The yield strength of the
Fe3Al alloy was reduced by the addition of 5 at.% Cr, indicating a softening with the addition of chromium,
but the ultimate tensile strength (UTS) was increased slightly. [1996Jim] studied the creep behavior of
several Al-Cr-Fe alloys ranging in aluminium from 21.7 to 48 at.% and established that the ternary alloys
exhibit an improvement in strength under high temperature compressive creep. The microstructure of four
Al-Cr-Fe alloys containing 9.3 to 18.0 at.% Cr and 7.6 to 25.5 at.% Al was investigated by [2000Spi] using
TEM after different heat treatments and different degrees of compressive deformation. The maximum of
the work-hardening curves is found to be shifted to higher strains with increasing aluminium concentration.
At a deformation temperature of 400°C dynamic strain aging occurs. [1976Vla] investigated three alloys
(mass%): Cr-7Fe-92Al, Cr-7.0Fe-92.5Al and Cr-7.0Fe-91.5Al (in at.%: Cr-3.5Fe-95.9Al, Cr-3.5Fe-96.2Al
and Cr-3.5Fe-95.7Al) designed to be used at elevated temperatures. Extrusion bars were made from
powders. The as-extruded and annealed at 482°C alloys, investigated by optical microscopy, TEM and
XRD, had a microstructure consisting of equiaxed grains of aluminium matrix and two types of precipitates,
namely (Cr,Fe)Al3 and a metastable (Cr,Fe)Al6 phase.
Data on the magnetic behavior of the Al-Cr-Fe alloys were obtained by [1969Kal, 1974Niz, 1975Lit,
1983Bus, 1985Okp, 1995Sta] and [1997Sat]. [1969Kal] studied the antiferromagnetic behavior and Neel
temperature of ternary alloys based on the (Cr2Al) phase. [1974Niz] and [1975Lit] reported the magnetic
atomic moment, Curie temperature, temperature dependence of magnetic coercivity and susceptibility in the
temperature range from 627 to -196°C. [1983Bus] obtained the values of Curie temperature, saturation
moment at 4.2 K and Kerr rotation angle for the CrFe2Al alloy annealed at 800 K (527°C) for 11 d.
[1985Okp] studied the ferromagnetism of ternary alloys based on FeAl, with Cr contents up to 50 at.%,
quenched from 830°C. Ferromagnetism was observed in alloys with Cr contents no less than 35 at.%.
[1995Sta] investigated magnetic susceptibility of the Cr8Fe6Al86 (at.%) alloy solidified by melt spinning,
of the phase content i+ +FeAl3+(Al). The icosahedral symmetry was concluded not to produce any
magnetic properties in the studied alloy. [1997Sat] determined the magnetic moment of chromium in
Fe3Al-based alloys with chromium content up to 15 at.% in the temperature range 10 to 300 K. The overall
moment was found to be small and that of neighboring iron atoms was reduced by about 0.1 B per Cr atom.
[1982Nao] reported that the room temperature electric resistivity of the alloys with less than about 35 at.%
Cr and less than 23 at.% Al increases with increasing chromium and aluminium contents and reaches a
maximum value for the Cr30Fe50Al20 (at.%) alloy. The temperature coefficient of resistivity in the
temperature range between room temperature and 500°C decreases with increasing chromium and
aluminium contents and becomes zero in the vicinity of 20 to 30 at.% Cr and 15 at.% Al. The influence of
aluminium on the kinetics of phase formation in alloys at the equiatomic Cr/Fe ratio with fine- and
coarse-grained structures was studied by [2000Bla] using 57Fe Mössbauer spectroscopy. It was found that
the addition of 0.2 at.% Al slightly accelerated the kinetics in the coarse-grained samples, and practically
did not affect in the fine-grained samples. On the other hand, doping with 1 at.% Al resulted in a significant
retardation of the phase formation both in the fine-grained samples as well as in the coarse-grained
samples. [2001Dem] presented the results of surface oxidation studying on the alloys containing the
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O1-(CrFeAl) and O2-(CrFeAl) phases. It was found that under mild conditions only aluminium oxidizes,
but under extreme conditions (water immersion at room temperature, or oxygen exposure at high
temperatures), chromium oxidizes as well. [2001Rod] obtained a nanocomposite with an amorphous matrix
containing metallic nanocrystals through the controlled crystallization of an amorphous Cr-5Fe-90Al (at.%)
alloy. Milling of this alloy for 60 h resulted in the formation of amorphous and nanocrystalline regions and
the crystallization temperatures for the primary and intermetallic phases occurred with an interval of 50°C.
The effect of heat treatment and grain size on the damping capacity of the Cr-70Fe-5Al (mass%)
(Cr-63.4Fe-12.3Al (at.%)) has been investigated by [2002Zho]. It has been shown that annealing
temperature and grain size have a significant influence on the damping capacity and strain amplitude
dependence of this alloy. It has a rather low damping capacity after being water quenched or cold worked
due to a high internal stress in the structure. [2002Dem2] studied the optical conductivity of the ternary
phases and interpreted the obtained data on the basis of a tunneling transition. Good agreement between the
obtained results and a theoretical approach developed for aperiodic intermetallics assuming an anomalous
diffusion of the electron wavepacket was found.
Miscellaneous
[1970Koz3] reported the solubility of C in liquid Al-Cr-Fe alloys at different temperatures. [1974Vya] used
the “simplex lattice method” to construct the liquidus and solidus surfaces and reported a good agreement
with data of [1970Koz1].
References
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Al–Cr–Fe
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331
Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Fe
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332
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
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Properties of Fe-30Al Alloy”, J. Mater. Sci. Lett., 17, 2021-2023 (1998) (Experimental, 12)
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of the Microstructure of Fe-Cr-Al Alloys”, J. Mater. Sci., 34, 1791-1798 (1999) (Equi.
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- Phase Transformation in an Al-Doped Fe-Cr Alloy”, J. Alloys Compd., 313, 182-187
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in Al-Cr-Fe”, Mater. Sci. Eng. A, 294-296, 79-81 (2000) (Crys. Structure, Experimental, 13)
333
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
[2000Mah] Mahdouk, K., Gachon, J.-C., “Thermodynamic Investigation of the Aluminium-Chromium
System”, J. Phase Equilib., 21(2), 157-166 (2000) (Equi. Diagram, Thermodyn.,
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“New Approximants in the Al-Cr-Fe System and their Oxidation Resistance”, J. Alloys
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334
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
660.452
CrxFeyAl1-x-y
cF4
Fm3m
Cu
a = 404.88 pure Al, T = 24°C [V-C]
x = 0 to 0.00375 [2003Cor]
y = 0 to 0.004 [2003Pis]
(Cr)
1863
, ( Fe)(r)
912
, CrxFe1-x-yAly
cI2
Im3m
W
a = 288.4
a = 286.65
a = 286.60
a = 287.67
a = 288.55
a = 289.2
a = 289.99
a = 288.13
a = 288.96
a = 289.43
a = 289.59
a = 2912.0
a = 2971.4
pure Cr, T = 27°C [V-C ]
x = 0 to 0.46 [V-C2]
pure Fe, T = 27°C [V-C]
pure Fe, room temperature [1961Lih,
1993Oka]
x = 0, y = 0 to 0.46 [1980Sch]
x = 0, y = 0.06 [1961Lih, 1993Oka]
x = 0, y = 0.105 [1961Lih, 1993Oka]
x = 0, y = 0.155 [1961Lih, 1993Oka]
x = 0, y = 0.19 [1961Lih, 1993Oka]
Quenched from 250°C [1958Tay,
1993Oka]:
x = 0, y = 0.0985
x = 0, y = 0.141
x = 0, y = 0.177
x = 0, y = 0.188
Quenched from 1000°C (100 h)
[1997Pal]:
x = 0.028, y = 0.444
x = 0.556, y = 0.444
( Fe)(h2)
1538 - 1394
cI2
Im3m
W
a = 293.80 [1993Oka]
( Fe)(h1)
1394 - 912
, Fe1-xAlx, CryFe1-y
, CrxFe1-x-yAly
cF4
Fm3m
Cu
a = 366.60
a = 364.67
pure Fe, T = 1167°C [1993Oka]
T = 915°C [Mas2]
x = 0 to 0.013 [1993Oka]
y = 0 to 0.119 [Mas2]
y = ~0.04 at x = 0.083, T = 1200°C
[1946Kor]
y = 0.06 at x = 0.083, T = 1100°C
[1946Kor]
y = 0.077 at x = 0.082, T = 1000°C
[1946Kor]
335
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
2, FeAl
1310
2, Fe1-xAlx
2,
(Fe,Cr,Al)1(Al,Cr,Fe)1
cP8
Pm3m
CsCl a = 289.48
a = 289.60
a = 289.86
a = 290.50
a = 290.9
a = 289.81
a = 291.01
a = 289.53
a = 289.66
a = 289.77
a = 290.17
a = 291.9
a = 291.7
x = 0.22 at T = 600°C to x = 0.545 at T =
1102°C [1993Oka]
x = 0.345 [1961Lih, 1993Oka]
x = 0.389 [1961Lih, 1993Oka]
x = 0.422 [1961Lih, 1993Oka]
x = 0.475 [1961Lih, 1993Oka]
x = 0.5 [1958Tay, 1993Oka]
Quenched from T = 500°C [1997Kog]:
x = 0.397
x = 0.509
Quenched from T = 250°C [1958Tay]:
x = 0.362
x = 0.383
x = 0.409
x = 0.438
30 at.% Cr, 40 at.% Fe [2001Alo]
35 at.% Cr, 35 at.% Fe [2001Alo]
1, Fe3Al
547
1, Fe1-xAlx
1,
(Fe,Cr,Al)3Al,Cr,Fe)1
cF16
Fm3m
BiF3
a = 579.23
a = 579.30
a = 579.28
a = 579.30
a = 579.24
a = 578.92
a = 579.30
a = 579.28
a = 579.18
a = 579.30
a = 579.32
a = 579.38
a = 579.32
a = 579.06
a = 578.94
a = 578.96
a = 578.86
a = 578.86
x = 0.225 to 0.365 [V-C]
x = 0.25 [V-C]
x = 0.247 [1961Lih, 1993Oka]
x = 0.263 [1961Lih, 1993Oka]
x = 0.28 [1961Lih, 1993Oka]
x = 0.307 [1961Lih, 1993Oka]
x = 0.317 [1961Lih, 1993Oka]
Quenched from T = 250°C [1958Tay,
1993Oka]:
x = 0.231
x = 0.237
x = 0.243
x = 0.254
x = 0.261
x = 0.272
x = 0.283
x = 0.295
x = 0.315
x = 0.34
x = 0.35
CrFe2Al alloy, annealed at T = 527°C
[1983Bus]
, Fe2Al31232 -1102
, Fe1-xAlx
cI16 (?)
-
a = 598.0
x 0.58 to 0.65 [1993Oka]
x = 0.61 [1934Osa]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
336
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
FeAl2 1156
Fe1-xAlx
(CryFe1-y)Al2
aP18
P1
FeAl2
A-base-centred
pseudomono-
clinic
Triclinic P1
Triclinic P1
a = 488
b = 646
c = 880
= 91.70°
= 73.3°
= 96.90°
a = 487.8
b = 646.1
c = 880.0
= 91.75°
= 73.27°
= 96.89°
a = 759.4
b = 1688.6
c = 486.2
= 89.55°
= 122.62°
= 90.43°
a = 487.8
b = 646.1
c = 880.0
= 91.75
= 73.27
= 96.89
a = 486.3
b = 645.4
c = 880.1
= 91.92
= 72.95
= 96.87
x = 0.655 to 0.670 [V-C]
T = 900°C [V-C]
x = 0.669; = 4200 kg·m-3 [1973Cor]
[1978Bas]
x = 0.666, quenched from T = 1000°C
(100 h) [1997Pal]
y = 0 to 0.045, T = 1000°C [1997Pal]
y = 0.045, quenched from T = 1000°C
(100 h) [1997Pal]
Fe2Al5 1169
Fe1-xAlx
(CryFe1-y)2Al5
oC24
Cmcm a = 767.5
b = 640.3
c = 420.3
a = 765.73
b = 640.87
c = 422.65
a = 765.59
b = 641.54
c = 421.84
a = 767.5
b = 640.3
c = 420.3
a = 769.4
b = 644.3
c = 422.7
x = 0.70 to 0.73 [1993Oka]
x = 0.72 [1953Sch]
x = 0.7145 [1986Gri]
x = 0.715 [1994Bur]
x = 0.7145, quenched from T = 1000°C
(100 h) [1997Pal]
y = 0 to 0.062, T = 1000°C [1997Pal]
y = 0.062, quenched from T = 1000°C
(100 h) [1997Pal]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
337
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
FeAl3 1160
Fe1-xAlx
(Fe,Cr,Al)1(Al,Cr,Fe)3
mC102
C2/m
orthorhombic,
A2mm or Amm2
or A2/mA2/mA2/m
a = 1548.7
b = 808.4
c = 1248.8
= 107.99°
a = 1548.3
b = 807.9
c = 1250.9
= 108.11°
a = 1548.9
b = 808.31
c = 1247.6
= 107.72°
a = 1550.4
b = 807.0
c = 1247.2
= 107.71°
a = 1549.2
b = 807.8
c = 1247.1
= 107.69°
a = 1550.9
b = 806.3
c = 1247.7
= 107.74°
a = 1551.3
b = 805.1
c = 1248.6
= 107.80°
a = 1552.7
b = 803.5
c = 1244.9
= 107.70°
a = 1548.9
b = 808.3
c = 1247.6
= 107.72°
a = 1554.3
b = 802.9
c = 1245.0
= 107.47°
a = 640
b = 840
c = 620
x = 0.745 to 0.766 [1993Oka]
Sometimes called Fe4Al13 in the
literature
x = 0.767 [1986Gri]
x = 0.7665 [1986Gri]
x = 0.766, single crystal
[1955Bla1, 1955Bla2]
x = 0.7602 [1986Gri]
x = 0.76 [1994Gri]
x = 0.7594 [1986Gri]
x = 0.7463 [1986Gri]
x = 0.7416 [1986Gri]
x = 0.75, quenched from T = 1000°C
(100 h) [1997Pal]
From 0 to 3 at.% Cr, at 600°C [1951Pra]
From 0 to 6.4 at.% Cr, from 22 to 25
at.% Fe, at 1000°C [1997Pal]
6.4 at.% Cr, 21.1 at.% Fe, quenched from
1000°C (100 h) [1997Pal]
<< 1 at.% Cr at 23.3 at.% Fe; in the
alloys (at.%) Cr3Al97, Cr3FeAl96 and
Cr3Fe3Al94 prepared by hot extrusion of
rapidly solidified powder, followed
annealing at 400°C [1995Zia]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
338
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
Fe2Al9 mP22
P21/c
Co2Al9
a = 869
b = 635
c = 632
= 93.4°
Metastable
81.8 at.% Al [1977Sim, 1993Oka]
FeAl6 oC28
Cmc21
FeAl6
a = 744.0
b = 646.3
c = 877.0
a = 744
b = 649
c = 879
Metastable
85.7 at.% Al [1993Oka]
[1998Ali]
FeAl4+x t**
a = 884
c = 2160
Metastable, 0 < x < 0.4
[1998Ali]
, Cr2Al13
791
,
(Cr,Fe,Al)2(Al,Cr,Fe)13
mC104
C2/m
V7 Al45
a = 2519.6
b = 757.4
c = 1094.9
= 128.7°
Room temperature, 13.5 at.% Cr
[1975Ohn, 1995Aud, 2003Cor]
Sometimes called CrAl7 in the literature
From 0 to 3.2 at.% Fe;
11.5 at.% Cr at 3.2 at.% Fe; cooled
slowly from the liquid state [1951Pra]
, Cr2Al11
941
,
(Cr,Fe,Al)2Al,Cr,Fe)11
oC584
Cmcm
a = 1240
b = 3460
c = 2020
a = 1260
b = 3460
c = 2000
16.9 to 19.2 at.% Cr [1995Aud,
2000Mah, 2003Cor]
Sometimes called CrAl5 in the literature
Quenched from 920°C, 16.9 to 19.2 at.%
Cr [1995Aud, 2000Mah, 2003Cor]
“ CrAl4” [1992Wen]
From 0 to 7.74 at.% Fe; 11.45 at.% Cr at
7.74 at.% Fe; cooled slowly from the
liquid state, in equilibrium with FeAl3[1951Pra]
, CrAl4 1031
, Cr1-xAlx
,
(Cr,Fe,Al)1Al,Cr,Fe)4
hP574
P63/mmc
MnAl4a = 1998
c = 2467
a = 2010
c = 2480
a = 2146.9
c = 1634
a = 2165.1
c = 1644.9
x = 0.78 to 0.80 [2003Cor]
y = 0.788 to 0.794, at 800°C [1995Aud]
x = 0.791 ± 0.003
[1995Aud, 2000Mah, 2003Cor]
y = 0.777 ± 0.001, quenched from
1000°C [2000Mah, 2003Cor]
From 0 to 11.9 at.% Fe, T = 1000°C
[1997Pal]
at 10.9 at.% Fe, 19.1 at.% Cr, quenched
from 1000°C (100 h) [1997Pal]
The Cr19.9Fe75.0Al5.1 sample quenched
from 1000°C (100 h) [1997Pal]
i, CrAl4(or CrAl5)
icosahedral In melt spun alloys Al-Cr at 8 to 13 at.%
Cr; by decomposition of amorphous of
20 at.% Cr, metastable [1998Mur]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
339
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
1, Cr4Al9 (h)
1, Cr1-xAlx
cI52
I43m
Cu4Al9
a = 912.3
x 0.55 to 0.69 [Mas2]
x = 0.71 at Al-rich limit, quenched from
T = 920°C [1995Aud]
2, Cr4Al9 (r)
2, Cr1-xAlx
2,
(Cr,Fe,Al)4(Al,Cr,Fe)9
hR52
R3m
Cr4Al9
a = 1291
c = 1567.7
a = 1284.7
c = 1545.9
x = 0.650 to 0.672 [Mas2]
In the alloy Cr15Fe15Al70 quenched from
1000°C (100 h) [1997Pal]
From 29 to 39 at.% Cr, from 0 to 9.6
at.% Fe (or to 12.5 at.% Fe estimated),
T = 1000°C [1997Pal]
29 at.% Cr, 9.6 at.% Fe, quenched from
1000°C (100 h) [1997Pal]
1, Cr5Al8(h)
1100 (?)
cI52
I43m
Cu5Zn8
a = 904.7 to 910.4 30.0 to 42.0 at.% Cr, quenched from
liquid [1989Ell]
2, Cr5Al8(r)
1100(?)
2, Cr1-xAlx
2,
(Cr,Fe,Al)5(Al,Cr,Fe)8
hR26
R3m
Cr5Al8
a = 1271.9
c = 793.6
a =1276.5 to 1271.5
c = 795.4 to 782.8
a = 1272.8
c = 794.2
a = 1267.0
c = 790.0
a = 1258.4
c = 785.0
a = 1255.4
c = 783.0
a = 1254.0
c = 782.0
a = 1253.0
c = 779.0
[1994ICD], No. 29-15]
x = 0.58 to 0.65 [1989Ell]
[1977Bra]
37 to 40 Cr, 0 to 32.5 Fe (at.%)
T = 1000°C [1997Pal]
6 at.% Fe, quenched from 1000°C (100h)
[1997Pal
18.5 at.% Fe, quenched from 1000°C
(100 h) [1997Pal]
24 at.% Fe,quenched from 1000°C
(100h) [1997Pal]
25.5 at.% Fe, quenched from 1000°C
(100 h) [1997Pal]
5 at.% Fe, quenched from 1000°C (100h)
[1997Pal]
, Cr2Al
< 910
, (Cr1-xFex)2Al
tI6
I4/mmm
MoSi2
a = 300.45
c = 864.77
a = 300.5 ± 0.1
c = 864.9 ± 0.1
a = 300.1 to 299.0
c = 864.7 to 865.9
a = 299.5
c = 865.8
a = 298.8
c = 867.1
a = 298.4
c = 867.5
a = 298.0
c = 867.6
a = 297.7
c = 868.0
~65.5 to 71.4 at.% Cr [1998Mur]
[1937Bra, 1998Mur]
[1989Ell]
0 x 0.25, annealed at 700 to 1000°C
[1969Kal]
x = 0.025
x = 0.045
x = 0.075
x = 0.085
x = 0.120
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
340
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
X
400
Cr5Al3 or
Cr3Al
superlattice
Possibly metastable [1998Mur]
~75 to ~80 at.% Cr [1981Bro, 1981Ten]
T In quenched alloys Cr-Al at 60 to 100
at.% Cr, like metastable Ti in Ti alloys
[2000Sha1, 2000Sha2]
, CrFe
830-440
tP30
P42/mnm
CrFe
a = 879.95
c = 454.42
44.5 to 50.0 at.% Cr [V-C]
* P63/m a = 4068.0±0.07
c = 1254.6±0.01
atoms/cell =
1184.56
a = 4000
c = 1240
Cr10.71Fe8.68Al80.61 single crystal,
elicited from ingot after inductive
melting followed cooling in sand bath
[2000Mo].
Sometimes called “H-(CrFeAl)”.
Cr11Fe8Al81 together with -(CrFeAl) in
as-cast CrFe2Al12 alloy [1999Sui]
* ” -(CrFeAl)” hexagonal,
-Cr18Ni6Al76
In as-cast CrFe2Al12 alloy together with
[1999Sui]
* ”O-(CrFeAl)” orthorhombic
body-centered
a = 1230
b = 1240
c = 3070
In as-cast Cr11Fe8Al81 alloy together
with O1-(CrFeAl) and C3,1-(CrFeAl)
[2000Dem].
In as-cast Cr2FeAl12 alloy together with
H-(CrFeAl) and M-(CrFeAl) [1997Sui,
1999Sui.
In as-cast CrFe2Al12 alloy [1998Lia]
* ”O1-(CrFeAl)” orthorhombic
base-centered or
primitive
a = 3250
b = 1220
c = 2360
In as-cast Cr11Fe8Al81, Cr16.5Fe6Al77.5
and Cr21.5Fe6Al72.5 alloys together with
O-(CrFeAl) and C3,1-(CrFeAl)
[2000Dem, 2001Dem]
* ”O2-(CrFeAl)” orthorhombic a = 1990
b = 1240
c = 2320
In as-cast Cr19.5Fe8Al72.5 alloy together
with O-(CrFeAl) [2001Dem]
* C3,1-(CrFeAl)” orthorhombic
primitive
[1988Ten]
a = 3270
b = 1250
c = 2380
In as-cast Cr11Fe8Al81 alloy together
with O1-(CrFeAl) [2000Dem]
* ”M-(CrFeAl)” monoclinic a = 3310
b = 1230
c = 2480
= 112°
-
In as-cast CrFeAl12 alloy [1998Lia]
In as-cast alloy Cr2FeAl12 together with
O-(CrFeAl) and H-(CrFeAl) [1997Sui,
1999Sui]
* i simple
icosahedral-type
-
a6D= 654.2(2)
Cr12±1Fe12±1Al75±0.5, rapid
solidification by centrifugal atomization
followed extrusion at 340°C [1995Zia]
In Cr8Fe6Al86, rapid solidification by
melt spinning [1995Sta]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
341
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
Table 2: Coordinates of the (( Fe)+ Fe))/( Fe) Surface of the -loop [1946Kor, 1991Gho]
Table 3: Heat Treatment Schedule for Different Alloys by [1958Chu]
Table 4: Partial Pressures of Cr, Fe and Al over the Alloy Cr-75.4Fe-4.8Al (mass%) and Temperature
Range of the Measurements T [1992Hil]. Errors of A and B values are standard deviations. Errors
of pi values are probable overall errors
Table 5: Chemical Activities ai, Excess Chemical Potentials iE, and Partial Excess Enthalpies Hi
E of the
Components in the Alloy Cr-75.4Fe-4.8Al (mass%) for a Temperature of 1500 K [1992Hil]. Errors
are probable overall errors
Temperature [°C] Al Cr
(mass%) (at.%) (mass%) (at.%)
1200
1100
1000
1.7
2.2
3.0
2.9
3.9
1.9
3.8
3.4
4.4
6.0
5.8
7.7
3.8
7.5
4.0
4.0
8.0
4.0
8.0
12.0
4.0
4.2
4.2
8.3
4.2
8.2
12.5
4.1
Alloys with > 50 mass% Fe Alloys with > 10 mass% Al
Temperature [°C] Time [h] Temperature [°C] Time [h]
750
700
650
600
500
480
720
1000
720
720
2000
2200
900
750
700
650
600
500
100
200
500
250
250
1200
Gaseous
species i
pi [Pa]
at 1500 K
T [K] ln pi = –A·104/T+B
A B
Cr
Fe
Al
1.6·10-2 ± 14 %
7.5·10-3 ± 15 %
4.5·10-3 ± 43 %
1313-1556
1313-1556
1313-1556
4.298 ± 0.015
4.622 ± 0.022
4.501 ± 0.071
24.51 ± 0.05
25.92 ± 0.12
24.50 ± 0.56
Alloy Component i ai (at 1500 K) iE (at 1500 K) [kJ·mol-1] Hi
E (at 1450 K) [kJ·mol-1]
Cr
Fe
Al
0.28 ± 0.04
0.50 ± 0.07
(3.3 ± 1.4)·10-3
4.3 ± 1.9
–4.4 ± 2.0
–42.0 ± 7.0
27.6 ± 8.8
13.7 ± 7.5
–66.0 ± 8.6
342
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
35302520151050
1272
1270
1268
1266
1264
1262
1260
1258
1256
1254
1252
latticeconstant
,pm
a0
Fe, at.%
Fig. 1a: Al-Cr-Fe.
Lattice constant a0 of
the Cr5Al8(r) phase vs
Fe content. Al content
is 55 to 58 at.%
35302520151050
790
788
786
784
782
780
792
794
778
Fe, at.%
latticeconstant,pm
c0
Fig. 1b: Al-Cr-Fe.
Lattice constant c0 of
the Cr5Al8(r) phase vs
Fe content. Al content
is 55 to 58 at.%
343
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
Fig. 2: Al-Cr-Fe. Partial reaction scheme of the Al-rich alloys
Al-Cr
l + ρ θ790 p
3
Al-Cr-Fe
L + ρ θ + FeAl3
709 U1
Al-Fe
l FeAl3 + (Al)
655 e1
l + θ (Al)
661.5 p4
L + θ FeAl3 + (Al) 655 U
2
L θ + FeAl3 + (Al) 640 E
1
L + ρ + FeAl3
L + θ + FeAl3
θ + FeAl3 + (Al)
ρ + θ FeAl3
or
either
Cr 4.00Fe 0.00Al 96.00
Cr 0.00Fe 4.00Al 96.00
Al Data / Grid: at.%
Axes: at.%
(Al)
FeAl3
U1
E1
e1
p4
p3
θ1,Cr2Al13
ρ,Cr2Al11
Fig. 3: Al-Cr-Fe.
Liquidus surface
projection of the
Al-corner
344
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
20
40
60
80
20 40 60 80
20
40
60
80
Cr Fe
Al Data / Grid: at.%
Axes: at.%
1800
1750
1700
1650
1600
15501500
1450
1400
1300
p1,~1350°C
p2,1232°C
(Cr,αFe)
1350
Cr 4.00Fe 0.00Al 96.00
Cr 0.00Fe 4.00Al 96.00
Al Data / Grid: at.%
Axes: at.%
e1
U2
U1
FeAl3
(Al)
700
750
800
850
p4
p3
ρ,Cr2Al11
θ1 ,Cr
2 Al
13
Fig. 5: Al-Cr-Fe.
Partial liquidus
surface projection
Fig. 4: Al-Cr-Fe.
Calculated liquidus
surface of the
Al-corner
345
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
20
40
60
80
20 40 60 80
20
40
60
80
Cr Fe
Al Data / Grid: at.%
Axes: at.%
(Cr,αFe)
ζ1,Cr4Al9(h)
γ,Cr5Al8
FeAl3Fe2Al5
ε+α2
α2
γ2+α γ2+α2
γ2ε
L
(γFe)
20
40
60
80
20 40 60 80
20
40
60
80
Cr Fe
Al Data / Grid: at.%
Axes: at.%
(Cr,αFe)
α2
γ2
η,Cr2Al
ρ,Cr2Al11µ,CrAl4
ζ1,Cr4Al9(h)
γ2,(Cr5Al8)(r)
FeAl3Fe2Al5
FeAl2
(γFe)
ν
γ2+α
γ2+α2
L
Fig. 6: Al-Cr-Fe.
Isothermal section at
1150°C
Fig. 7: Al-Cr-Fe.
Isothermal section at
900°C
346
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
20
40
60
80
20 40 60 80
20
40
60
80
Cr Fe
Al Data / Grid: at.%
Axes: at.%
σ
σ+(Cr,αFe)
(Cr,αFe)
η+α
η,Cr2Al
α2
θ,Cr2Al13
µ,CrAl4
ζ1,Cr4Al9(h)
γ2,Cr5Al8(r)
FeAl3Fe2Al5
FeAl2
L
η+α2+γ2γ2+α2
γ2
η+α2
ν
20
40
60
80
20 40 60 80
20
40
60
80
Cr Fe
Al Data / Grid: at.%
Axes: at.%
σ
σ+(Cr,αFe)
(Cr,αFe)
η+α2+γ2
α2
θ,Cr2Al13
µ,CrAl4
ζ1,Cr4Al9(h)
γ2,Cr5Al8(r)
η,Cr2Al
Fe2Al5
FeAl3
FeAl2
ν
γ2+α2
γ2
η+α2
η+α
L
Fig. 8: Al-Cr-Fe.
Isothermal section at
750°C
Fig. 9: Al-Cr-Fe.
Isothermal section at
700°C
347
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
20
40
60
80
20 40 60 80
20
40
60
80
Cr Fe
Al Data / Grid: at.%
Axes: at.%
σ
σ+(Cr,αFe)
(Cr,αFe)
η+α2+γ2
α2
θ,Cr2Al13
µ,CrAl4
ζ1,Cr4Al9(h)
γ2,Cr5Al8(r)
η,Cr2Al
Fe2Al5
FeAl3
FeAl2
ν
γ2+α2
γ2
η+α2
η+α
(Al)
ζ2, Cr4Al9(r)
20
40
60
80
20 40 60 80
20
40
60
80
Cr Fe
Al Data / Grid: at.%
Axes: at.%
σ
σ+(Cr,αFe)
(Cr,αFe)
η+α2+γ2
α2
θ,Cr2Al13
µ,CrAl4
ζ2, Cr4Al9(r)
γ2, Cr5Al8(r)
η, Cr2Al
Fe2Al5
FeAl3
FeAl2
ν
γ2 +FeAl
2 +α2
γ2
η+α2
η+α
(Al)
ζ1, Cr4Al9(h)
Fig. 10: Al-Cr-Fe.
Isothermal section at
650°C
Fig. 11: Al-Cr-Fe.
Isothermal section at
600°C
348
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
20
40
20 40
60
80
Cr 60.00Fe 0.00Al 40.00
Cr 0.00Fe 60.00Al 40.00
Al Data / Grid: at.%
Axes: at.%
µ,CrAl4
ζ2 ,Cr
4Al9(r)
γ2,Cr5Al8(r)
Fe2Al5
FeAl2
γ2+α2
ζ2+µ
L+µ
γ2+Fe2Al5
α2+FeAl2
L+FeAl
3
γ2+αα2
ζ2+γ2
L
FeAl3
α
Cr 4.00Fe 0.00Al 96.00
Cr 0.00Fe 4.00Al 96.00
Al Data / Grid: at.%
Axes: at.%(Al)
FeAl3+(Al)
calculated
(Al)+θ+FeAl3θ,C
r 2A
l 13+(
Al)
Fig. 12: Al-Cr-Fe.
Partial isothermal
section at 1000°C
Fig. 13: Al-Cr-Fe.
Partial isothermal
section of the
Al-corner at 600°C
349
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
10
90
10
Cr 20.00Fe 80.00Al 0.00
Fe
Cr 0.00Fe 80.00Al 20.00 Data / Grid: at.%
Axes: at.%
1000°C
1100°C
1200°C
20 40 60 801000
1250
1500
1750
2000
Cr 0.00Fe 50.00Al 50.00
CrCr, at.%
Tem
pera
ture
, °C
L
(Cr,αFe)
α2
1863°C
Fig. 14: Al-Cr-Fe.
Isotherms of the
surface ((γFe)+αFe))/
(αFe) of the γ-loop in
the ternary system
Fig. 15: Al-Cr-Fe.
Polythermal section
FeAl - Cr
350
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Fe
400
500
600
700
800
Cr 0.00Fe 75.00Al 25.00
Cr 6.00Fe 75.00Al 19.00Cr, at.%
Tem
pera
ture
, °C
α1
α1+α
α2+α
α2 α
2.00 4.00
Fig. 16: Al-Cr-Fe.
Variation of
order-disorder
reaction temperature
as a function of the Cr
content along the
Fe3Al-CrFe3 section
1200
1000
800
600
400
100 200 300 400 500 600 7000
T[°C]
C[J
kg
K]
p-1
-1×
×
Fig. 17: Al-Cr-Fe.
Temperature
dependence of the
heat capacity Cp of
the FeAl3-based
compound with
chromium content
5 at.%
351
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Mg
Aluminium – Chromium – Magnesium
Peter Rogl, Sibylle Stiltz and Fred Hayes, updated by Andriy Grytsiv
Literature Data
Information about the phase equilibria in the aluminium-rich region are due to the results obtained by
different investigators [1940Erd, 1940Hof, 1943Mon, 1948Lit, 1956Vul, 1960Zol1, 1960Zol2, 1973Ohn1,
1973Ohn2]. [1940Erd] was the first to examine the phase relations in the Al-rich corner within the range of
0 to 23 mass% Cr and 0 to 37 mass% Mg by means of thermal analysis (±0.5°C, 60 grams of alloy) and
optical metallography of a total of 140 alloys. A liquidus projection was established for the Al-rich and
Cr-poor region (3 mass% Cr and 35 mass% Mg, see also [1941Han]). All samples were prepared by melting
the Al in a graphite crucible internally-lined with sintered Al2O3 prior to adding the proper amounts of Cr
in the form of an Al-10 mass% Cr master alloy followed by the Mg. To prevent oxidation, a protective layer
of Hydrasal was used and, due to a retarded solubility of Al-Cr crystals, the melts had to be kept for
prolonged periods at temperature. Starting materials were 99.99 % Al and Mg and 99.86 % pure electrolyte
Cr containing 0.095 mass% H, 0.03 % Fe, 0.01 % Si, 0.01 % Cr and 0.003 % S. To avoid separation by
gravity, melts were cast in flat 10 × 15 mm thin-walled iron molds. Phases were specified by selective
etching using NaOH (1 %) at 50°C for CrAl7 (15-45 s, brown, no attack on Cr2Al11 and T), and HNO3
(20 %) at 70°C for Mg2Al3 (dark brown, no attack on Al). For an isothermal section at 400°C, the alloys
were sealed in silica ampoules under 1 bar of air with addition of Mg filings as a getter material, and heat
treated for 720 h at 400°C. Solid solubility limits of a series of alloys (1.96 to 2.07 mass% Mg, 0.12 to 1.6
mass% Cr, balance Al) have been derived at three different temperatures (400, 500 and 600°C) from
electrical resistivity measurements and by X-ray examination [1940Hof]; alloys were prepared by casting
into thick-walled brass crucibles, annealing at 600 to 620°C for 48 h and subsequently hot drawing (at 420
to 450°C) into a wire of 4 mm diameter, quenching, sealing in silica capsules and finally annealing at 400,
500 and 600°C, respectively. The results of [1940Erd], in particular the existence of a ternary phase T, were
essentially confirmed by [1948Lit] in a reinvestigation of the ternary system in the region of 0 to 20 mass%
Mg and 0 to 10 mass% Cr on a series of more than 60 samples which were prepared by melting Al and
proper amounts of an Al-8.6 mass% Cr master alloy in fluorspar-lined Al2O3 crucibles before adding the
Mg. The reguli were then sealed in evacuated hard glass tubes, annealed for 380 to 720 h at 460°C and
examined by chemical analysis (some), by optical metallography and by X-ray analysis and a partial
isothermal section at 460°C was established. Etchants used were hot alkaline permanganate solutions at 60
to 70°C. T was generally outlined by a 1 min swab etch with aqueous hydrofluoric acid. In contradiction to
these observations by [1940Erd], [1941Han] and [1948Lit], the ternary phase T was considered by
[1943Mon] to constitute a solid solution of Mg in binary Cr2Al11 (in this assessment called CrAl5) rather
than a true ternary compound - as a consequence the primary field of the T phase is eliminated in the liquidus
projection and the primary field of CrAl7 will extend further up to 20 mass% of Mg; similarly, the
isothermal section proposed by [1943Mon] for a temperature of 447°C is without a ternary compound. In a
later review by [1952Han], Mondolfo's version of the phase diagram was rejected on the basis of significant
differences between T and the proposed solution of Mg in Cr2Al11 as seen under polarized light.
The present evaluation was published in the MSIT Evaluation Program earlier and reflects today’s state of
knowledge.
Binary Systems
The binary system Al-Cr was accepted after [Mas2]. The binary Al-Cr compounds CrAl7 and Cr2Al11 are
called here and , respectively. The new version of the Al-Mg binary system was accepted after
[1998Lia]. It is modified according to the documented homogeneity range of the phase [1997Su], which
was not taken into account by the calculation. The small homogeneity range of the phase [1997Su] is not
well established. The Al-Mg phase diagram is accepted from [2003Luk].
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Al–Cr–Mg
Solid Phases
Despite arguments by [1943Mon] (see above) the ternary compound originally labeled T (“CrMgAl8”) by
[1940Erd] and [1941Han] has been confirmed by [1948Lit, 1952Han, 1956Vul, 1973Ohn1] and
[1973Ohn2] and an extended homogeneous range was indicated from X-ray and chemical analysis on
electrochemically extracted single crystals, then revealing a Cr content of about 11.8 to 12.6 mass% Cr; a
tie line construction furthermore resulted in a Mg content varying from 8.2 to 13.5 mass% Mg
(“Cr2Mg3-4Al24-25”) [1948Lit]. The large lattice parameter, as observed by [1953Lit] for “Cr2Mg3Al25”
confirms the existence of an extended homogeneous range towards compositions richer in Mg than
Cr2Mg3Al18, as was also indicated from the investigation by [1948Lit]. Assuming complete occupation of
all atom sites in the unit cell, and taking further into account the various results obtained from chemical
analyses [1940Erd, 1948Lit], the homogeneous range, however, appears to be at higher Cr contents as
indicated by [1948Lit], and thus might be represented by the formula: Cr2Mg4Al17 to Cr2Mg2Al19 (see also
Fig. 6). In contrast to a preliminary X-ray investigation by [1953Lit], a complete determination of the crystal
structure by means of single crystal X-ray Weissenberg photographs revealed cubic symmetry Fd3m due to
observed extinctions (hhl) for h+l=2n+1 [1954Sam, 1958Sam]. At a reliability factor of R = 0.116 the atom
parameters were (origin of cell at 1/8 1/8 1/8 from 1): Al1 in 96 g (0.0666(3), 0.0666, 0.2998(4)), Al2 in 48
f (0.1407(6), 0, 0), Mg1 in 16 d (5/8, 5/8, 5/8), Mg2 in 8 b (1/2, 1/2, 1/2) and Cr in 16 c (1/8, 1/8, 1/8))
[1958Sam]. The crystal structure was confirmed using X-ray powder data [1973Ohn1, 1987Ker]. Besides
the existence of T (Cr2Mg3Al18) the formation of at least one further ternary phase (denoted Tx) was
claimed by [1940Erd], but no details were given. Solid solubility of Mg in CrAl7 and in Cr2Al11 were
observed to be very small [1940Erd] or negligible [1960Zol2]. Solid solubility limits for Cr and Mg in (Al)
as derived by [1940Hof] were: 0.56 Cr mass% at 0.0 mass% Mg, 600°C, and 0.38 mass% Cr at 2.0 mass%
Mg, 600°C; 0.3 mass% Cr at 0.0 mass% Mg, 500°C and 0.2 mass% Cr at 2.0 mass% Mg, 500°C. These data
and later observations by [1948Lit] at 460°C (0.3 mass% Cr at 1.1 mass% Mg) are slightly higher than the
more recent findings by [1973Ohn1] and [1973Ohn2] at 400, 450 and 550°C, respectively. Crystallographic
data of the solid phases appearing in the diagrams are listed in Table 1.
Invariant Equilibria
Four ternary invariant equilibria were reported by [1940Erd] and [1941Han] in the Al-rich region of the
system ( 35 mass% Mg, 3 mass% Cr; see Table 2): eutectic decomposition of the liquid at 447.3 ± 0.5°C
and three transition type reactions U1, U2, U3, for which a reaction temperature was measured only for U2
at 632.7°C. The compositions of the liquids are given explicitly [1940Erd, 1941Han], those of the solid
phases are corrected in view of later investigations by [1948Lit] and [1973Ohn1, 1973Ohn2] (see also
section Isothermal Sections). The anomalous nature of the ternary eutectic was also discussed by [1960Spe].
Based on the information by [1940Erd] on the formation of at least two ternary phases T and Tx, the reaction
scheme (Fig. 1) and a projection of the invariant equilibrium planes and the connecting lines of double
saturation (Fig. 2) are presented for the Al-rich region of the Al-Cr-Mg system. Due to the lack of detailed
information, however, the diagram is partly estimated.
Liquidus Surface
Figure 3 shows some isotherms of the liquidus surface and the melting grooves separating five areas of
primary crystallization in the Al-rich region of the system: , , , , T. Figure 3 is essentially based on the
experimental results of [1940Erd] and [1960Zol2]. In contrast to [1940Erd], and based on liquid extraction
experiments on a series of alloys with constant Mg contents of 1.5, 2.0 and 3.0 mass%, the experiments of
[1960Zol2] revealed that with increasing Mg content up to 7 mass% Mg, the field of primary
crystallization contracts.
Isothermal Sections
Figures 4, 5 and 6 reveal the isothermal sections in the Al-rich region at 550, 450 and 400°C according to
[1973Ohn1] and [1973Ohn2]. The phase field distribution at 400°C is mainly based on [1940Erd] with
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Al–Cr–Mg
minor corrections regarding the position and homogeneous range of the ternary T phase [1958Sam] which
was found from the 460°C section by [1948Lit]. Furthermore, according to the investigations by [1948Lit]
and [1973Ohn1, 1973Ohn2], the vertex of the three phase field + +T is generally located at smaller Mg
and Cr contents, as also suggested by [1952Han] in view of the earlier data by [1940Hof].
Notes on Materials Properties and Applications
[1952Han] and [1956Vul] report on the hardness of the ternary compound T in comparison with binary
Cr-aluminides. Whereas [1952Han] measured 540 kg·mm-2, the variation of the microhardness of
“CrMg2Al12” was given as 461 kg·mm-2 at 20°C (30 s), 402 kg·mm-2 at 300°C (30 s) and 358 kg·mm-2 at
300°C after 60 min [1956Vul]. Furthermore, the influence of “Cr2Mg4Al24” (Cr2Mg4Al17) on the heat
resistance of aluminium alloys was investigated at 300°C. The fatigue limit 100 at 300°C for the alloy
containing 0.63 mass% Cr and 2.30 mass% Mg was found to be 4.7 kg·mm-2 [1956Vul].
Structure and mechanical properties of rapidly solidified Al-(3-6)Mg-(0-9)Cr (at.%) alloys were
investigated by [1994Abr]. Authors report that Al-Cr-Mg alloys exhibit higher strength and hardness
(Table 3) comparing with corresponding values of binary Al-Cr alloys. However, the use of magnesium as
alloying element produced a drastic reduction in tensile ductility.
References
[1940Erd] Erdmann-Jesnitzer, F., “The Al Corner of the Al-Mg-Cr Ternary System” (in German),
Alum. Arch., 29, 1-15 (1940) (Crys. Structure, Equi. Diagram, Experimental, 11)
[1940Hof] Hofmann W., Herzer, R.W., “The Solid Solubility of Cr in Al with up to 2 mass% Mg” (in
German), Metallwirtschaft, 191, 141-143 (1940) (Equi. Diagram, Experimental, 7)
[1941Han] Hanemann, H., Schrader, A., “On the Al Ternary Systems” (in German), Z. Metallkd., 33,
20-21 (1941) (Review, 3)
[1943Mon] Mondolfo, L.F., “Metallography of Aluminium Alloys”, Wiley & Sons, Inc., New York,
London, Chapman and Hall Ltd., London, 71-73 (1943) (Equi. Diagram, Review, 1)
[1948Lit] Little, K., Axon, H.J., Hume-Rothery, W., “The Constitution of Aluminium-
Magnesium-Zinc-Chromium Alloys at 460°C”, J. Inst. Met., 75, 39-50 (1948-49) (Crys.
Structure, Equi. Diagram, Experimental, 12)
[1952Han] Hanemann, H., Schrader, A., “Ternary Aluminium Alloys” in “Atlas Metallogr. III”, (in
German), 2, Verlag Stahleisen GmbH, Dusseldorf, 66-69, Tables 4, 5 (1952) (Equi.
Diagram, Review, 4)
[1953Lit] Little, K., “The Ternary Compound E in the System Aluminium-Chromium- Magnesium”,
J. Inst. Met., 82, 463-464 (1953) (Crys. Structure, Experimental, 5)
[1954Sam] Samson, S., “Crystal Structure of the Intermetallic Compound Mg3Cr2Al18”, Nature, 173,
1185-1186 (1954) (Crys. Structure, Experimental, 3)
[1956Vul] Vul'f, B.K., Chernov, M.N., “The Effect of Ternary Metallic Compound E (AlCrMg) on
Heat Resistance of Aluminium Alloys”, Russ. J. Inorg. Chem., 1(1), 163-168 (1956),
translated from Zh. Neorg. Khim., 1(1), 158-162 (1956) (Experimental, 11)
[1958Sam] Samson, S., “The Crystal Structure of the Intermetallic Compound Mg3Cr2Al18”, Acta
Crystallogr., 11, 851-857 (1958) (Crys. Structure, Experimental, 23)
[1960Spe] Spengler, H., “The Importance of Research on Eutectics and its Applications to Ternary
Eutectic Aluminium Alloys” (in German), Metall, 14, 201-206 (1960) (Review, 11)
[1960Zol1] Zoller, H., “The Influence of Zn, Mg, Si, Cu, Fe, Mn and Ti on the Primary Crystallization
of Al7Cr” (in German), Schweiz. Arch. angew. Wiss. u. Techn., 26, 437-448 (1960) (Equi.
Diagram, Experimental, 33)
[1960Zol2] Zoller, H., “The Influence of Zn, Mg, Si, Cu, Fe, Mn and Ti on the Primary Crystallization
of Al7Cr” (in German), Schweiz. Arch. Angew. Wiss. u. Techn., 26, 478-491 (1960) (Equi.
Diagram, Experimental, 33)
[1968Sam] Samson, S., Gordon, E.K., “The Crystal Structure of Mg23Al30”, Acta Crystallogr., B24,
1004-1013 (1968) (Experimental, Crys. Structure, 32)
354
Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Mg
[1973Ohn1] Ohnishi, T., Nakatani, Y., Shimizu, K., “Phase Diagrams and Ternary Compounds of the
Al-Mg-Cr and the Al-Mg-Mn Systems in the Al-rich Side” (in Japanese), J. Jpn. Inst. Light
Met., 23, 202-209 (1973) (Crys. Structure, Equi. Diagram, Experimental, 16)
[1973Ohn2] Ohnishi, T., Nakatani, Y., Shimizu, K., “Phase Diagram in the Al-rich Side of the Al-Mg-Cr
Quaternary System” (in Japanese), J. Jpn. Inst. Light Met., 23, 437-443 (1973) (Equi.
Diagram, Experimental, 2)
[1981Sch] Schürmann, E., Voss, H.J., “Investigation of the Equilibrium Containing Liquid of
Mg-Li-Al Alloys” (in German), Giessereiforschung, 33, 43-46 (1981) (Equi. Diagram,
Experimental, Review, 17)
[1987Ker] Kerimov, K.M., Dunaev, S.F., Sljusarenko, E.M., “Investigation of the Structure of Ternary
Phases in Al-Mg-Ti, Al-Mg-V and Al-Mg-Cr Systems”, J. Less-Common Met., 133,
297-302 (1987) (Experimental, Crys. Structure, 9)
[1994Abr] Abramov, V.O., Sommer, F., “Structure and Mechanical Properties of Rapidly Solidified
Al-(Fe,Cr) and Al-Mg-(Fe,Cr) Alloys”, Mater. Lett., 20, 251-255, (1994) (Experimental,
Mechan. Prop., Crys. Structure, 6)
[1997Su] Su, H.-L., Harmelin, M., Donnadieu, P., Baetzner, C., Seifert, H. J., Lukas, H. L., Effenberg,
G., Aldinger, F., “Experimental Investigation of the Mg-Al Phase Diagram from 47-63 at.%
Al”, J. Alloys Compd., 247, 57-65 (1997) (Equi. Diagram, Experimental, 20)
[1998Lia] Liang, P., Su, H.-L., Donnadieu, P., Harmelin, M.G., Quivy, A., Ochin, P., Effenberg, G.,
Seifert, H. J., Lukas, H.-L., Aldinger, F., “Experimental Investigation and Thermodynamic
Calculation of the Central Part of the Mg-Al Phase Diagram”, Z. Metallkd., 89, 536-540
(1998) (Equi. Diagram, Thermodyn, Experimental, Theory, Calculation, 33)
[2003Cor] Cornish, L., Saltykov, P., Cacciamani, G., Velikanova, T., “Al-Cr (Aluminum -
Chromium)”, MSIT Binary Evaluation Program, in MSIT Workplace, Effenberg, G. (Ed.),
MSI, Materials Science International Services GmbH, Stuttgart, to be published, 2003
(Equi. Diagram, Review, 51)
[2003Luk] Lukas, H.L.,“Al-Mg (Aluminium-Magnesium)”, MSIT Binary Evaluation Program, in
MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart; to be published, (2003) (Crys. Structure, Equi. Diagram, Assessment, 49)
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
, (Al)
< 660.452
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
, (Mg)
< 650
hP2
P63/mmc
Mg
a = 320.94
c = 521.07
at 25°C [Mas2]
, Mg2Al3< 452
cF1168
Fd3m
Mg2Al3
a = 2823.9 1168 atoms on 1704 sites per unit cell
[2003Luk]
60-62 at.% Al [1997Su]
, Mg23Al30
410-250
hR159
R3
Mg23Al30
a = 1282.54±0.03
c = 2174.78±0.09
[V-C, 1968Sam, 1981Sch]
159 atoms refer to hexagonal unit cell
[2003Luk]
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Al–Cr–Mg
a Earlier denoted as “Al8CrMg” by [1940Erd] or as E by [1948Lit] who, from X-ray powder and single crystal
oscillation photographs, reported Fm3m as the most probable space group due to the lack of extinctions observed for the (hhl)-reflections.
b Assuming complete occupation of all atom sites in the structure, the large lattice parameter of [1953Lit] suggests an extended homogeneity range towards compositions richer in Mg than Al18Cr2Mg3. Taking further into account the
various results obtained from chemical analysis [1940Erd, 1948Lit] the homogeneity range might be Al17 19Cr2Mg4 2 (this range is assumed in Fig. 6).
, Mg17Al12
< 458
cI58
I43m
Mn
a = 1054.38
a = 1048.11
a = 1053.05
a = 1057.91
[V-C], x = 2.068 Mg·m-3
52.58 at.% Mg [L-B]
56.55 at.% Mg [L-B]
60.49 at.% Mg [L-B]
, Cr2Al11
940oC584Cmcm a = 1240
b = 3460
c = 2020
a = 1252.1
b = 3470.5
c = 2022.3
a = 1260
b = 3460c = 2000
[2003Cor]
quenched from 920°C
16.9 to 19.2 at. % Cr;
single crystal ”εCrAl4”
”εCrAl4”
, CrAl7 790
mC104
C2/m
Al45V7
a = 2519.6
b = 757.4
c = 1094.9
= 128.80°
obs = 2.78 Mg·m-3 at
13.2 at.% Cr [V-C]
* Ta b, Cr2MgAl18 cF184
Fd3m
Al18Cr2Mg3
a = 1455
a = 1453±1
a = 1468
[1958Sam], sp. group Fd3m
x = 2.86 Mgm-3 [1954Sam]
exp = 2.80 Mgm-3 [1954Sam]
[1987Ker]
[1948Lit, 1953Lit] for “Al2Cr2Mg3”
converted from kX-units
* Tx unknown structure - [1940Erd]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
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Al–Cr–Mg
Table 2: Invariant Equilibria
Table 3: Mechanical Properties of Al-Cr-Mg and Al-Cr Alloys [1994Abr]
Reaction T [°C] Type Phase Composition (at.%)
Al Cr Mg
L + + T ~ 750 U1 L1
1
1
T1
84.9
84.6
87.2
78.3
1.2
15.4
12.8
8.7
13.9
0.0
0.0
13.0
L + + T 633 U2 L2
2
2
T2
85.0
87.5
97.5
81.3
0.9
12.5
0.3
8.6
14.1
0.0
2.2
10.1
L + Tx + T 448 U3 L3
Tx3
3
T3
64.6
unknown
60.5
74.0
1.1
0.0
8.7
34.3
39.5
17.3
L + + T 447 E L4
4
4
T4
65.5
85.6
61.5
78.6
0.9
0.0
0.0
8.4
33.6
14.4
38.5
13.0
Composition (at.%) Yield strength
[MPa]
UTS [MPa] Elongation (%) Hardness
[MPa]Al Cr Mg
99.5
98.5
98.0
92.0
0.5
1.5
2.0
2.0
0
0
0
6.0
185
233
241
498
198
235
257
520
16.5
8.5
8.0
4.0
566
755
950
1610
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Al–Cr–Mg
10
20
30
40
10 20 30 40
60
70
80
90
Mg 50.00Cr 0.00Al 50.00
Mg 0.00Cr 50.00Al 50.00
Al Data / Grid: at.%
Axes: at.%
Tx3
Tx3
T3
T
U3
E
β3
β4
U1
U2
η
Θ
η1
Θ1
Θ2
T2
T1
T4
α2
595.5
557
542
524.5
506.1
α4
α
e
Tx3
p2p1
Fig. 2: Al-Cr-Mg.
Invariant equilibrium
planes
l + η Θ790 p
1 L + η + T
l + Θ α661.5 p
2
L + η Θ + Tca.750 U1
L + Θ α + T633 U2
L α + β + T447 E
α + β + T
L + Tx
β + T448 U3
l α + β450.5 e
L + Θ + T η + Θ + Τ
α + Θ + Τ
L + α + T
L + β + T
T + Tx + β
L + β + Tx L + T + T
x
Fig. 1: Al-Cr-Mg. A partial reaction scheme
Al-Cr Al-MgAl-Cr-Mg
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Al–Cr–Mg
0 1 2 3 4 5
0
2
4
6
8
10
Mg, mass%
Cr,mass%
a + Q
a +T + Q
� + Ta
Fig. 4: Al-Cr-Mg.
Phase equilibria in
the Al corner at
550°C
10
20
30
40
10 20 30 40
60
70
80
90
Mg 50.00Cr 0.00Al 50.00
Mg 0.00Cr 50.00Al 50.00
Al Data / Grid: at.%
Axes: at.%
T
U3
E
β
U1
U2
η
Θα2
595.5
557
542
524.5
506.1
α
α
e
p2p1
Fig. 3: Al-Cr-Mg.
Liquidus projection
of the Al-rich region
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Al–Cr–Mg
10
20
30
10 20 30
70
80
90
Mg 40.00Cr 0.00Al 60.00
Mg 0.00Cr 40.00Al 60.00
Al Data / Grid: at.%
Axes: at.%
α+T
α+T+β
T
η+Θ+TΘ
η
α+Θα
α+Θ+T
β
Fig. 6: Al-Cr-Mg.
Partial isothermal
section at 400°C
0 2 4 6 8 10 12 140
1
2
3
4
5
6
� + T + Q
�
� + �
Mg, mass%
Cr,mass%
Fig. 5: Al-Cr-Mg.
Phase equilibria in
the Al corner at
450°C
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Al–Cr–Nb
Aluminium – Chromium – Niobium
Volodymyr Ivanchenko
Literature Data
Forty-six ternary alloys located in the Nb-NbCr2-NbAl3 portion of the ternary system have been
investigated by means of metallography and X-ray diffraction analysis by [1964Sve]. The alloys were
prepared by arc melting under purified Ar using 99.99 mass% Al, 99.95 mass% Cr and 99.4 mass% Nb (0.4
mass% Ta, 0.06 mass% Ti, 0.06 mass% Si and 0.07 mass% Fe). Annealing was carried out under purified
Ar for 17 to 30 h at 1500°C and for 105 h at 1200°C. The samples were cooled after annealing at 100°C per
minute.
[1968Hun] used 22 alloy compositions to determine the constitution of the Nb-Cr-NbAl3 portion of the
ternary system at 1000°C. Alloys were arc melted under Ar using 99.999 Al and Cr and 99.9 mass% Nb.
Samples were annealed for 168 h at 1000°C in evacuated quartz capsules and subsequently air-cooled. Only
X-ray diffraction analysis was used to establish a tentative section at 1000°C. Within the MSIT Evaluation
Program [1991Gam] made a critical review of the data published until the year 1986.
Because of the serious discrepancies between the results of [1964Sve] and [1968Hun], [2001Mah]
performed a new study of the Al-Cr-Nb ternary system, combining X-ray diffraction and electron probe
microanalysis together with direct reaction calorimetry. Powders (99.5 Al, 99.5 Cr and 99.8 mass% Nb) of
the components of the alloy were mixed together at room temperature in the right proportions, inside a glove
box under purified Ar. The mixture was compressed in order to make small pellets of about 30-150 mg,
which were loaded in an argon tight sample dispenser. Then, the dispenser was connected to the calorimeter
and the samples were dropped, one after the other, from room temperature into the crucible of the
calorimeter. The calorimeter temperature was high enough to ensure a quick diffusion of the elements into
each other, but lower than the melting point or peritectic temperature of the compound. Some binary and
ternary compounds were synthesized in this way whilst determining their enthalpies of formation.
[1986Bla, 1985Tho] examined the 66.67 at.% Cr section. Six alloy compositions were arc melted under
gettered Ar using only 99 mass% Al with 99.2 mass% Cr and 99.5 mass% Nb. Samples were annealed for
a minimum of 170 h at temperatures in the range 800-1200°C and presumably air-cooled.
[1977Ale] determined the limit of solubility of Cr in Nb3Al along the constant Al section by X-ray
diffraction analysis. Samples were homogenized for 5 h at 1650°C and the annealed for 250 h at 700°C. The
solubility of Cr in Nb3Al was found to be 4.5 at.% Cr. The lattice parameter of Nb3Al is reduced by only
0.47 pm per at.% Cr.
[1975Sha] reported the same data as [1977Ale]. These results are almost the same as received by
[2001Mah].
In a cursory examination of the Al-Cr-Nb system, [1964Ram] studied the phases present in three alloys after
annealing for 80 h at 700°C. They detected NbCr2(h) as one of the phases in all three alloys.
Computer calculated isothermal sections were reported by [1973Kau] for temperatures 2000, 1800, 1700,
1600, 1500, 1400, 1200 and 1000°C. A calculated liquidus projection was also given. [1978Cha] reported
a calculated 1500°C section.
[1975Tho] arc melted 9 alloy compositions in the vicinity of the predicted ternary eutectic of [1973Kau].
Alloys were arc melted under Ar using 99.95 Al, 99.99 Cr and 99.8 mass% Nb.
Some problems related to the mechanical properties of intermetallics in the Al-Cr-Nb system have been
examined by [1990Kum, 1996Mac].
Binary Systems
The accepted Al-Cr phase diagram is taken from [2003Cor]. The Al-Nb binary system is taken from
[2003Vel]. The Cr-Nb phase diagram is taken from [2003Iva].
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Al–Cr–Nb
Solid Phases
Solid phases observed in this system are given in Table 1.
Liquidus Surface
[1973Kau] predicted a pseudobinary saddle point on the Cr5Al8 - NbAl3 section at 1375°C and 30 Cr, 7 at.%
Nb. A ternary eutectic at 1317°C was calculated to occur at 34 Cr, 12 at.% Nb. [1975Tho] checked the
results of this calculation and showed that the predicted ternary eutectic contained NbAl3 primary crystals
with eutectic after slow cooling from the melt. It appears that the alloy with 34 Cr and 12 at.% Nb lies on a
monovariant eutectic curve that descends towards the pseudobinary eutectic between Cr5Al8 and NbAl3. It
should be noted that the liquidus projection calculated by [1973Kau] disagrees with the calculated 1500°C
isothermal section. The isothermal section does not show any evidence of the transition reaction at 1500°C
indicated on the liquidus projection.
Isothermal Sections
There are substantial differences between the 1200°C section of [1964Sve] and the 1000°C section of
[2001Mah] at one side, and the 1000°C section of [1968Hun] with respect to another. According to
[1968Hun], the Nb3Al phase extends into the ternary along the line of constant Nb content as opposed to
that given by [1964Sve] and [2001Mah]. It should be noted, that the location of the Nb3Al phase field given
by [1968Hun] is similar to that proposed by [1989Sub], who investigated two alloys by XRD and EPMA:
Al-15Nb-25Cr and Al-25Nb-12.5Cr (at.%) annealed at 1300°C. Based on his own data and that of
[1968Hun] it was suggested that Cr substitutes preferentially for Al with constant Nb content. At the same
time, [1989Sub] showed that Fe, Mo and W substituted for Nb with constant Al content on dissolving in
Nb3Al. This result may be regarded as argument in favor of the [1964Sve] and [2001Mah] data. The
homogeneity region of Nb2Al was shown by [1968Hun] as having considerably more solubility for Cr than
indicated by [1964Sve, 2001Mah]. The NbCr2(h) phase is stable at 1000°C. But the homogeneity range
presented by [1968Hun] included higher Nb contents than shown by [1964Sve] and [2001Mah] whose
results are very similar.
X-Ray diffraction analysis performed by [1986Bla] showed that alloys containing 0-20 at.% Al were single
phase with a NbCr2(h) structure. This result disagrees with the 1000°C data of [1964Sve, 2001Mah]. Since
[1964Sve] shows a wide NbCr2(h) region along the section NbCr2-NbAl3 at 1200°C, it is difficult to accept
that the NbCr2(h) region will have an extension along a constant Cr content as shown by [1986Bla].
[1973Kau] compared their calculated isothermal sections with the 1000°C section of [1968Hun] and with
a 1500 and 1200°C sections that are probably data from [1964Sve]. The calculated 1500°C isothermal
section does not indicate Cr5Al8-NbAl3 to be a stable join although the experimental data of [1964Sve]
suggested it to be so.
The isothermal sections at 1500 and 1200°C are presented in Fig. 1 and Fig. 2 taken from [1964Sve]. The
isothermal section at 1200°C is presented in accordance with the accepted Al-Nb binary system. The
isothermal section at 1000°C is presented in Fig. 3 taken from [2001Mah]. It has been slightly modified in
accordance with assessed Al-Cr and Al-Nb systems and reflects the existence of a two-phase region
between NbCr2(h) and NbCr2(r). The three new three-phase regions are marked by dashed lines. The
compositions of the phases in equilibrium at 1000°C are presented in Table 2 in accordance with [2001Mah]
considering the width of homogeneity regions of Cr4Al9 and Cr5Al8 compounds.
Slight discrepancies between location of phase boundaries in the accepted Al-Cr phase diagram and data
presented by [2001Mah] exist because of Nb solubility. It should be noted that compositions of the
(Nb,Cr)Al3 phase in equilibria 3, 4 and 5 do not allow correct connections of the tie-triangles with the
single-phase field of (Nb,Cr)Al3, therefore these compositions have been changed slightly in the diagram
presented in Fig. 3.
362
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Nb
Thermodynamics
The enthalpies of formation of (Nb,Cr)3Al, Nb2(Cr,Al), (Nb,Cr)Al3, Nb(Cr,Al)2 as a function of
composition have been measured by [2001Mah] and are presented in Table 3.
Notes on Materials Properties and Applications
The solubility of Cr in Nb3Al lowered the critical temperature of the transition to the superconductive state.
The concentration dependence of Tc is Tc = 18.6 - 0.74 (at.% Cr) K [1977Ale].
The Nb(Cr,Al)2 phase has high hardness and high brittleness. The substitution of Cr for Al in Nb(Cr,Al)2
lowered the microhardness of the C14 high temperature Laves phase from 9.32 GPa to 8.47 GPa.
[1990Kum] found that the brittle to ductile transition temperature of Nb3Al occurred around 1200 K.
[1996Mac] investigated various Al containing ternary Laves phases having the hexagonal C14 structure. It
was shown that NbCrAl phase had very low thermal shock resistance. After arc melting + levitation
remelting the specimen was cracked severely and could not be used for mechanical testing.
References
[1963Koe] Köster, W., Watchel, E., Grube, K., “Structure and Magnetic Properties of
Aluminium-Chromium Alloys” (in German), Z. Metallkd., 54, 393-401 (1963) (Equi.
Diagram, Crys. Structure, Thermodyn., Magn. Prop., Experimental, 33)
[1964Ram] Raman, A., Schubert, K., “The Occurence of Zr2Cu- and Cr2Al-Type Intermetallic
Compounds”, Z. Metallkd., 55, 798-804 (1964) (Experimental, 23)
[1964Sve] Svechnikov, V.N., Shurin, A.K., Dimitrieva, G.P., “Investigation of Alloys in the System
Nb-NbCr2- NbAl3” (in Russian), Issled. Stalei i Splavov, 104-107 (1964) (Crys. Structure,
Equi. Diagram, Experimental, Kinetics, Mechan. Prop., #, 19)
[1968Hun] Hunt, C.R.Jr., Raman, A., “Alloy Chemistry of ( ,U)-Related Phases. I. Extens Ion of
- and Occurrence of ’-Phases in the Ternary Systems Nb (Ta)-X-Al (X= Fe, Co, Ni, Cu,
Cr, Mo)” Z. Metallkd., 59 (9), 701-707 (1968) (Crys. Structure, Equi. Diagram, 14)
[1973Kau] Kaufman, L., Nesor, H., “Theoretical Approaches to the Determination of Phase
Diagrams”, Annu. Rev. Mater. Sci., 3(1), 1-30 (1973) (Equi. Diagram, Theory, 148)
[1975Ohn] Ohnishi, T., Nakatani, Y., Okabayashi, K. Bull. Univ. Osaka Prefect., 24, 183-191 (1975)
(Equi. Diagram, Crys. Structure, Experimental) quoted by [1998Mur]
[1975Sha] Shamrai, V.F., Postnikov, A.M., “Study of Some Ternary Solid Solutions Based on the
Compound Nb3Al”, Dokl. Akad. Nauk SSSR, 224, 1130-1133 (1975) (Crys. Structure,
Experimental, 8)
[1975Tho] Thomas, M.K., “Undirectional Solidification of a Cr/Nb/Al Eutectic Alloy”, Conf. Situ
Composites - II, Lake George, N.Y., Jackson, M.R., Walter, J.L., Hertzberg, R.W., (Eds.),
Xerox Individualised Publ. 37-47 (1975, Publ.1976 ) (Experimental, 19)
[1977Bra] Brandon, J.K., Pearson, W.B., Relay, P.W., Chieh, C., Stokhuyzen, R., “ -Brasses with
R Cells”, Acta Crystallogr., 3B, 1088-1095 (1977) (Crys. Structure, Experimental, 16)
[1977Ale] Alekseyevskiy, N.Y., Ageev, N.V., Shamrai, V.F., “Superconductivity of Some
Three-Component Solid Solutions Based on the Compound Nb3Al”, Fiz. Met. Metalloved.,
43, 29-35 (1977) (Crys. Structure, Equi. Diagram, Experimental, Magn. Prop.,
Superconduct., 14)
[1978Cha] Chart, T.G., “The Calculation of Multicomponent Alloy Phase Diagrams at the National
Physical Laboratory” in “Application of Phase Diagrams in Metallurgy and Ceramics”,
NBS Special Publ., 496(2), 1186-1199 (1978) (Equi. Diagram, Thermodyn., Theory, 26)
[1981Bro] den Broeder, F.J.A., van Tendeloo, G., Amelinckx, S., Hornstra, J., de Ridder, R., van
Landuyt, J., van Daal, H.J., “Microstructure of Cr100-xAlx Alloys (10 at.% < x < 33 at.%)
Studied by Means of Transmission Electron Microscopy and Diffusion. II. Discovery of a
New Phase”, Phys. Stat. Sol. (A), 67, 233-248, (1981) (Equi. Diagram, Experimental, 2)
363
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Nb
[1981Ten] van Tendeloo, G., den Broeder, F.J.A., Amelinckx, S., de Ridder, R., van Landuyt, J., van
Daal, H.J., “Microstructure of Cr100-xAlx Alloys (10 at.% < x < 33 at.%) Studied by Means
of Transmission Electron Microscopy and Diffraction. I. Microstructure of the -Phase”,
Phys. Stat. Sol. A, 67A, 217-232 (1981) (Equi. Diagram, Experimental, 10)
[1985Tro] Trojko, R., Blazina, Z., “Metal-Metalloid Exchange in Some Friauf-Laves Phases
Containing Two Transition Metals”, J. Less-Common Met., 106, 293-300 (1985) (Crys.
Structure, Experimental, 13)
[1986Bla] Blazina, Z., Trojko, R., “Structural Investigations of the Nb(1-x)SixT2 and Nb1-xAlxT2
(T=Cr, Mn, Fe, Co, Ni) Systems”, J. Less-Common Met., 119, 297-305 (1986) (Crys.
Structure, Experimental, 6)
[1989Ell] Ellner, M., Braun, J., Predel, B., “X-Ray Study on Cr-Al Phases of the W-Family” (in
German), Z. Metallkd., 80(5), 374-383 (1989) (Crys. Structure, Equi. Diagram,
Experimental, #, 38)
[1989Sub] Subramanian, P.R., Simmons, J.P., Mendriatta, M.G., Dimiduk, D.M., “Effect of Solutes on
Phase Stability in Al3Nb”, Mat. Res. Symp. Proc., 133, 51-56, (Experimental, Equi.
Diagram, Mechan. Prop., 12)
[1990Kum] Kumar, K.S., “Ternary Intermetallics in Aluminium-Refractory Metal-X Systems (X = V,
Cr, Mn, Fe, Co, Ni, Cu, Zn)”, Int. Mater. Rev., 35(6), 293-327 (1990) (Crys. Structure, Equi.
Diagram, Review, 158)
[1991Gam] Gama, S., “Aluminium - Chromium - Niobium”, MSIT Ternary Evaluation Program, in
MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH
Stuttgart; Document ID: 10.16065.1.20 (1991) (Crys. Structure, Equi. Diagram,
Assessment, 11)
[1992Tho] Thoma, D.I., Perepezko, I.H., “An Experimental Evaluation of the Phase Relationships and
Solubilities in the Nb-Cr System”, Mater. Sci. Eng. A, 156(1), 97-108 (1992) (Equi.
Diagram, Experimental, #, 32)
[1992Wen] Wen, K.Y.; Chen, Y.L.; Kuo K.H., “Crystallographic Relationships of the Al4Cr Crystalline
and Quasicrystalline Phases”, Metatt. Trans. A, 23A, 2437-2445 (1992) (Crys. Structure,
Experimental, 36)
[1993Bar] Barth, E.P., Sanchez, J.M., “Observation of a New Phase in the Niobium-Aluminium
System”, Scr. Metall. Mater., 28, 1347-1352 (1993) (Crys. Structure, Equi. Diagram,
Experimental, 9)
[1994Sel] Selke, H., Vogg, U., Ryder, P.L., “New Quasiperiodic Phase in Al85Cr15”, Phys. Status
Solidi A, 141(31), 31-41 (1994) (Crys. Structure, Experimental, 19)
[1995Aud] Audier, M., Duranr-Charre, M., Laclau, E., Klein, H., “Phase Equilibria in Al-Cr System”,
J. Alloys Compd., 220, 225-230 (1995) (Crys. Structure, Experimental, *, 17)
[1996Mac] Machon, L., Sauthoff, G., “Deformation Behaviour of Al-Containing C14 Laves Phases
Alloys”, Intermetallics, 4, 469-481 (1996) (Equi. Diagram, Experimental, 41)
[1997Li] Li, X.Z., Sugiyama, K., Hiraga, K., Sato, A., Yamamoto, A., Sui, H.X, Kuo, K.H., “Crystal
Structure of Orthorhombic -Al4Cr”, Z. Kristallogr., 212, 628-633 (1997) (Crys. Structure,
Experimental, 17)
[1998Li] Li, X.Z., Sui, H.X., Kuo, K.H., Sugiyama, K., Hiraga, K., “On the Structure of the Al4Cr
Phase and its Relation to the Al-Cr-Ni Phase”, J. Alloys Compd., 264, L9-L12 (1998)
(Crys. Structure, Experimental, 11)
[1998Mur] Murray, J.L., “The Al-Cr (Aluminium-Chromium) System”, J. Phase Equilib., 19(4),
368-375 (1998) (Equi. Diagram, Assessment, Calculation, Review, 43)
[2000Mah] Mahdouk, K., Gachon, J.-C., “Thermodynamic Investigation of the Aluminium-Chromium
System”, J. Phase Equilib., 21(2), 157-166 (2000) (Equi. Diagram, Thermodyn.,
Experimental, 26)
[2000Sha1] Shao, G., Tsakiropoulos, P., “On the Phase Formation in Cr-Al and Ti-Al-Cr Alloys”,
Acta Mater., 48, 3671-3685 (2000) (Crys. Structure, Experimental, 39)
364
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Nb
[2000Sha2] Shao, G., Nguen-Manh, D., Pettifor, D.G., Tsakiropoulos, P., “ -Phase Formation in a
Rapidly Solidified Cr-40 at.% Al Alloy”, Philos. Mag. Lett., 80(11), 703-710 (2000) (Crys.
Structure, Experimental, 22)
[2001Mah] Mahdouk, K., Gachon, J.-C., “A Thermodynamic Study of the Al-Cr-Nb Ternary System”,
J. Alloys Compd., 321(2), 232-236 (2001) (Equi. Diagram, Experimental, Thermodyn., #, 7)
[2003Cor] Cornish, L., Saltykov, P., Cacciamani, G., Velikanova, T., “Al-Cr
(Aluminium-Chromium)”, MSIT Binary Evaluation Program, in MSIT Workplace,
Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH, Stuttgart; to be
published, (2003) (Crys. Structure, Equi. Diagram, Review, 51)
[2003Iva] Ivanchenko, V., “Cr-Nb (Chromium-Niobium)”, MSIT Binary Evaluation Program, in
MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart; to be published, (2003) (Crys. Structure, Equi. Diagram, Review, 32)
[2003Vel] Velikanova, T., Ilyenko, S., “Al-Nb (Aluminium-Niobium)”, MSIT Binary Evaluation
Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International
Services GmbH, Stuttgart; to be published, (2003) (Crys. Structure, Equi. Diagram, Review,
81)
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
( Al) hP2
P63/mmc
Mg
a = 269.3
c = 439.8
at 25°C, 20.5 GPa [Mas2]
( Al)
< 660.452
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
(Cr)
< 1863
cI2
Im3m
W
a = 288.48
a = 290.01 ± 0.17
a = 289.70 ± 0.51
a = 289.43 ± 0.30
a = 289.20 ± 0.18
a = 288.80 ± 0.12
Pure Cr at 25°C, [Mas2]
5.59 ± 0.31 at.% Nb at 1668°C,
[1992Tho]
97.54 ± 0.32 at.% Cr, cooled from
1400°C, [1992Tho]
98.51 ± 0.07 at.% Cr, cooled from
1300°C, [1992Tho]
98.80 ± 0.24 at.% Cr, cooled from
1200°C, [1992Tho]
98.72 ± 0.11 at.% Cr, cooled from
1100°C, [1992Tho]
98.98 ± 0.21 at.% Cr, cooled from
950°C, [1992Tho]
365
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Nb
(Nb)
< 2469
cI2
Im3m
W
a = 330.04
a = 325.95 ± 0.89
a = 326.27 ± 0.35
a = 327.21 ± 0.51
a = 328.08 ± 0.75
a = 328.89 ± 0.31
Pure Nb at 25°C, [Mas2]
<24.42 ± 0.88 at.% Cr at 1703
14.37 ± 0.51 at.% Cr, cooled from
1400°C, [1992Tho]
12.53 ± 075 at.% Cr, cooled from
1300°C, [1992Tho]
9.10 ± 0.26 at.% Cr, cooled from
1200°C, [1992Tho]
9.02 ± 0.56 at.% Cr, cooled from
1100°C, [1992Tho]
9.44 ± 0.31 at.% Cr, cooled from 950°C,
[1992Tho]
NbCr2(h)
1730 - 1585
hP12
P63mmc
MgZn2
a = 493.1
c = 812.3
at 25°C, 66.7 at.% Cr, [1986Bla]
NbCr2(l)
< 1625
cF24
Fd3m
MgCu2
a = 702.25 ± 0.26
to 699.50 ± 0.12
a = 701.81 ± 0.22
to 700.02 ± 0.12
a = 701.56 ± 0.24
to 700.96 ± 0.39
a = 701.02 ± 0.16
to 699.67 ± 0.22
a = 700.53 ± 0.33
to 699.49 ± 0.22
63.59 ± 0.27 - 68.04 ± 0.53 at.% Cr,
cooled from 1400°C, [1992Tho]
63.99 ± 0.43 - 67.95 ± 0.40 at.% Cr,
cooled from 1300°C, [1992Tho]
64.51 ± 0.32 - 67.79 ± 0.45 at.% Cr,
cooled from 1200°C, [1992Tho]
65.73 ± 0.41 - 67.49 ± 0.27 at.% Cr,
cooled from 1100°C, [1992Tho]
63.57 ± 0.46 - 68.27 ± 0.32 at.% Cr,
cooled from 950°C, [1992Tho]
Nb3Al
< 2060
cP8
Pm3n
Cr3Si
a = 518.6 [V-C2]
18.6 to 25 at.% Al [Mas2]
Nb2Al
< 1940
tP30
P42/mnm
CrFe
a = 994.3
c = 518.6
[V-C2]
30 to 42 at.% Al [Mas2]
NbAl3< 1680
tI8
I4/mmm
Al3Ti
a = 384.1 ± 1
c = 860.9 ± 2
[V-C2]
Nb3Al2< ~1450
tP20
P42/mnm
Al2Zr3
a = 707 ± 8
c/a ~ 0.05
[1993Bar]
42.4 at.% Nb
CrAl7 (Cr2Al13)
< 790
mC104
C2/m
V7Al45
a = 2519.6
b = 757.4
c = 1094.9
= 128.7
at room temperature 13.5 at.% Cr
[1995Aud, 1998Mur]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
366
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Nb
Cr2Al11 (CrAl5)
< 940
Orthorhombic
oC584
Cmcm
a = 1240
b = 3460
c = 2020
a = 1252.1
b = 3470.5
c = 2022.3
a = 1260
b = 3460
c = 2000
quenched from 920°C
16.9 to 19.2 at.% Cr;
[1995Aud, 2000Mah]
single crystal
“ CrAl 4"
[1997Li, 1998Li]
“ CrAl 4"
[1992Wen]
CrAl4< 1030
hP574
P63/mmc
MnAl4
a = 1998
c = 2467
a = 2010
c = 2480
at room temperature,
20.9 ± 0.3 at.% Cr
[1995Aud, 2000Mah]
20.6 to21.2 at.% Cr [1995Aud];
22.3 ± 0.1 at.% Cr
at Cr-rich border at 1000°C [2000Mah]
Cr4Al9< 1060
cI52
I43m
Cu4Al9
a = 912.3 ~31 to 45 at.% Cr quenched
from liquid [Mas2];
29 at.% Cr at Al-rich border at 920°C
[1995Aud]
Cr4Al9< 700
hR52
R3m
Cr4Al9
a = 1291
c = 1567.7
32.8 to35 at.% Cr
[Mas2]
Cr5Al8~ 1350 - 1110
cI52
I43m
Cu5Zn8
a = 910.4 to 904.7 30 to42 at.% Cr, quenched from liquid
[1989Ell]
Cr5Al8< ~1150
hR26
R3m
Cr5Al8
a = 1279.9
c = 793.6
a = 1272.8
c = 794.2
a = 1281.3
c = 795.1
[Mas2]
[1977Bra]
[1989Ell]
Cr2Al
< 910
tI6
I4/mmm
MoSi 2
a = 300.45
c = 864.77
a = 300.5 to 302.8
c = 864.9 to 875.5
~65.5 to ~ 71.4 at.% Cr
[1963Koe, 1998Mur]
[1989Ell]
X
400
Cr5Al3 or Cr3Al
superlattice
~75 to ~80 at.% Cr [1981Bro, 1981Ten];
possibly metastable [1998Mur]
’CrAl4 Pmcm in as-cast alloy 15 at.% Cr, lattice
parameters are the same as for
“ CrAl 4” metastable [1994Sel]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
367
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Nb
Table 2: Compositions of the Phases in Equilibrium, at 1000°C, in the Al-Cr-Nb System, [2001Mah]
* values is brackets show compositions presented in the diagram Fig. 3.
iCrAl4 icosahedral in spinning alloy of 8 to 13 at.% Cr; by
decomposition of amorphous 20 at.%
Cr, metastable [1998Mur]
dCrAl4 decagonal 19 at.%, 4 at.% Si [1994Sel]
T in quenched alloy of 60-100 at.% Cr,
like metastable Ti [2000Sha1,
2000Sha2]
Domain number in
Figure 3
Phases involved in the
equilibrium
Composition of phases by EPMA (at.%)
Al Cr Nb
1 Nb2(Cr,Al)
(Nb,Cr)3Al
(Nb)
25.5
19
7
8
4.4
5.2
66.5
76.6
87.8
2 Nb2(Cr,Al)
(Nb)
NbCr2(h)
24.4
9.7
14
10.7
11.5
49.7
64.9
78.8
36.3
3 (Nb,Cr)Al3Nb2(Cr,Al)
NbCr2(h)
73.8 (73.97)*
37.6
44.4
0.2 (0.48)*
2.7
21.3
26 (25.55)*
59.7
34.3
4 (Nb,Cr)Al3NbCr2(h)
(Cr)
73.9 (73.6)*
38.4
30
0.9 (1.4)*
27.4
69.4
25.2 (25.0)*
34.2
0.6
5 (Nb,Cr)Al3Cr5Al8(Cr)
72.8 (73.6)*
57.4
39.3
1.3 (2.2)*
42.4
60.6
25.9 (24.2)*
0.2
0.1
6 (Nb,Cr)Al3CrAl4Cr4Al9
74.3
77.8
69.9
10.8
22.1
29.9
14.9
0.1
0.2
7 (Nb,Cr)Al3CrAl4Liquid
75.5
79.5
86.2
3.7
20.4
13.6
20.8
0.1
0.2
8 Cr4Al9Cr5Al8(Nb,Cr)Al3
~66
~64
~73.4
~33.9
~35.9
~7.09
~0.1
~0.1
19.51
9 (Nb)
NbCr2(h)
NbCr2(l)
~6
~10
~7.4
~12
~54
~55.8
~82
~36
~36.8
10 (Cr)
NbCr2(h)
NbCr2(l)
~12
~10.5
~8
~87.5
~57
~59
~0.5
~32.5
~33
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
368
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Nb
Table 3:Enthalpies of Formation of Some Binary and Ternary Compounds in the Al-Cr-Nb System,
Referred to Al (liq), Cr (bcc) and Nb (bcc) at T
Alloy Composition Calorimeter
Temperature [°C]
Enthalpy of Formation,
fH [kJ mole-1 of atoms]
References
Al0.61Cr0.39 (Al8Cr5) 1203 - 23.5 ± 0.5 [2001Mah]
Al0.61Cr0.39 (Al8Cr5) 1010 -23.7 ± 0.4 [2001Mah]
Al0.69Cr0.31 (Al9Cr4) 940 -24.8 ± 0.5 [2001Mah]
Al0.805Cr0.195 (Al4Cr) 921 -24.8 ± 0.8 [2001Mah]
Al0.84Cr0.16 (Al11Cr2) 843 -20.05 ± 0.4 [2001Mah]
Al0.87Cr0.13 (Al7Cr) 710 -22.6 ± ? [2001Mah]
Nb0.80 Al0.20 1426 - 19.7 ± 2.3 [2001Mah]
Nb0.79Cr0.02Al0.19 1428 - 17.2 ± 1.0 [2001Mah]
Nb0.77Cr0.04Al0.19 1423 - 12.3 ± 1.8 [2001Mah]
Nb0.67 Al0.33 1426 - 29.8 ± 1.0 [2001Mah]
Nb0.67Cr0.05Al0.28 1387 - 27.7 ± 1.0 [2001Mah]
Nb0.63Cr0.04Al0.33 1450 - 30.2 ± 1.2 [2001Mah]
Nb0.26 Al0.74 1001 - 54.6 ± 0.9 [2001Mah]
Nb0.24Cr0.02Al0.74 1000 - 52.55 ± 1.2 [2001Mah]
Nb0.22Cr0.04Al0.74 1001 - 50.6 ± 1.8 [2001Mah]
Nb0.20Cr0.06Al0.74 1001 - 49.0 ± 0.8 [2001Mah]
Nb0.18Cr0.08Al0.74 1000 - 46.9 ± 0.95 [2001Mah]
Nb0.16Cr0.10Al0.74 1001 - 45.2 ± 0.8 [2001Mah]
Nb0.333Cr0.567Al0.10 1485 - 11.6 ± 1.4 [2001Mah]
Nb0.333Cr0.467Al0.20 1485 - 20.3 ± 0.4 [2001Mah]
Nb0.333Cr0.367Al0.30 1485 - 26.5 ± 0.8 [2001Mah]
Nb0.333Cr0.267Al0.40 1485 - 34.9 ± 1.4 [2001Mah]
369
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Nb
20
40
60
80
20 40 60 80
20
40
60
80
Nb Cr
Al Data / Grid: at.%
Axes: at.%
NbAl3
βNbCr2(h)
Nb2Al
Nb3Al
(Nb)αNbCr2(l)
? Nb3Al2
Fig. 1: Al-Cr-Nb.
Isothermal section at
1500°C [1964Sve]
20
40
60
80
20 40 60 80
20
40
60
80
Nb Cr
Al Data / Grid: at.%
Axes: at.%
NbAl3
Nb2Al
Nb3Al
(Nb)
βNbCr2(h)
αNbCr2(l)
Nb3Al2
Fig. 2: Al-Cr-Nb.
Isothermal section at
1200°C [1964Sve]
370
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Nb
20
40
60
80
20 40 60 80
20
40
60
80
Nb Cr
Al Data / Grid: at.%
Axes: at.%
(Cr)
NbAl3
Nb2Al
Nb3Al
(Nb)
Cr4Al9
CrAl4
L
7
6
5
43
21
Nb3Al2
βNbCr2(h)
8
910
Cr5Al8
αNbCr2(l)
Fig. 3: Al-Cr-Nb.
Isothermal section at
1000°C [2001Mah]
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Al–Cr–Ni
Aluminium – Chromium – Nickel
Tamara Velikanova, Kostyantyn Korniyenko, Vladislav Sidorko
Literature Data
The Al-Cr-Ni system has been investigated in many works, however Al-Cr-Ni equilibrium diagram has not
been determined in the whole composition range so far. After assessments of [1984Mer1] and [1991Rog],
in accordance with which there are no ternary phases in the system, several reports with data on the ternary
phases in Al-rich part of phase diagram have appeared. The major part of the earlier works had been
dedicated to the Cr-Ni edge of the system. The present evaluation updates work of [1991Rog] and considers
all data available.
Besides the early cursory study [1933Roe], summarized by [1943Mon], dealing with the influence of Cr
and Ni additions on the (Al) solid solution, the first detailed investigation of the NiAl-Ni-Cr50Ni50
subsystem, including a series of isothermal sections at 750, 850, 1000 and 1150°C as well as tentative
mapping of the fields of primary crystallization, was done by [1952Tay2]. The alloys, usually weighing
50 g, were prepared by induction melting of the high purity constituting elements (impurities not given) in
alumina-lined crucibles under a low pressure of hydrogen. The alloys were studied in the as-cast state as
well as after annealing at various temperatures: 750°C (500 h), 850°C (500 h), 1000°C (100 h) and 1150°C
(48 h) employing X-ray powder techniques on filings along with optical microscopy for the alloys cooled
from 750, 850°C. Phase relations at higher temperatures were derived by microoptical analysis only. A
homogenizing step at 1150 to 1250°C for 100 h was introduced prior to the final annealing procedure.
Further studies of partial isothermal sections and reaction isotherms were performed by [1958Bag1] and
[1958Bag2] (1150, 1200°C), and by [1982Tu, 1983Lan, 1983Ofo, 1984Car, 1985Ofo, 1987Ofo] and
[1989Hon] in the temperature range from 950 to 1200°C. Whereas the latter group of authors mainly
employed DTA, EMPA, SEM-EDX techniques to derive precise data for the location of the phase
boundaries, diffusion experiments were used by [1984Car, 1987Nes1, 1987Nes2, 1987Nes3] and
[1984Mer2] and the work of [1983Ofo, 1985Ofo] and [1987Ofo] involved Knudsen cell mass spectroscopy.
The alloys of [1987Nes1, 1987Nes2, 1987Nes3] and [1989Hon] were prepared by arc melting the high
purity elements under argon followed by subsequent annealing for 140 h at 1250°C in evacuated silica tubes
[1989Hon] or in molybdenum cans [1987Nes1, 1987Nes2, 1987Nes3] with final quenching in water. The
diffusion couples, used by [1987Nes1, 1987Nes2] and [1987Nes3] were fabricated from flat polished discs
cut from the pre-alloyed and homogenized samples and were further heated in Mo containers at either 1100
or 1200°C for 100 h. A second set of diffusion-bounded couples was prepared by hot-pressing in a stainless
steel mixture at 1100°C in vacuum for 1 h under 20 MNm-2 pressure. These couples were then sealed in
evacuated silica capsules, backfilled with Ar, and annealed at 1095 and 1205°C for 100, 300 and 500 h. A
similar preparation technique was adopted by [1984Mer2]. The diffusion couples were then sectioned,
polished and examined by EMPA. [1983Ofo, 1985Ofo] and [1987Ofo] studied 16 binary and 9 ternary
alloys by means of X-ray diffraction, microscopic analysis, Knudsen cell mass spectroscopy and EMPA.
The alloys were prepared by melting high purity metals in a vacuum furnace under argon, keeping the melt
for some time at certain temperature, followed by chill casting into ingots of 2.5 cm diameter and 15 cm
height. For heat treatment, the samples were placed inside an Al2O3 tube contained in a sealed evacuated
silica tube and annealed for 100 to 200 h; Cr-rich alloys were annealed for 400 h. The more ductile samples
were given a 50% hot compression and heat treated at 1250°C for 240 h with 100 extra hours at 1150°C.
All samples used in the 1150°C isothermal section were quenched and their composition was checked by
chemical analysis. The use of phase diagram information in the understanding of the multi-element
diffusion and the correlation of coating/substrate compositions, microstructures and behavior has been
demonstrated by [1977Jac1] on Al-Cr-Ni coatings of superalloys prepared by pack aluminization, and a
series of isothermal sections around 1000°C have been proposed based on X-ray diffraction, microscopical,
chemical and microprobe analysis of the aluminized structures. A large number of experimental
investigations are concerned with the constitution of alloys on and in vicinity of the section NiAl-Cr
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[1953Kor, 1952Tay2, 1958Bag1, 1958Bag2, 1992Gor] and [1993Cot1], which is not quasibinary if the
reported data on directions of tie-lines in ( Cr)+( NiAl) field [1982Tu, 1985Ofo] are taken into account,
and the other results generalized in the thermodynamic assessment [2001Dup]. This conclusion agrees with
[2001Com] who reported that the maximum temperature on invariant line L + [2001Com] was shifted
to Al corner. Liquidus surface projection of the NiAl-Cr-Ni subsystem was presented by [1991Rog] having
generalized the data of [1952Tay2, 1954Kor, 1955Kor2, 1958Kor]. Using the elemental metals and 25 or
54.2 at.% Al-Ni master alloys of various purities (99.96 mass% Cr or 97 mass% Cr containing 2.5 mass%
Al, 0.3 mass% Si and 0.5 mass% Fe), the alloys (50 g each) were prepared by high frequency melting in
alumina crucibles either under a 48Al2O3-7MgO-45CaO flux [1954Kor] and [1955Kor2] or under argon
[1958Bag1]. The microstructure, hardness and temperature coefficient of resistivity were investigated after
quenching from 1200°C in water and after slow cooling; thermal expansion and heat resistance were studied
on 1200°C annealed alloys. In the range of compositions near NiAl-Cr section (with chromium content up
to 5 at.%) liquidus and solidus surfaces were plotted and phase composition of alloys slowly cooled from
1400°C was presented by [1993Cot1]. [1993Cot1] produced the alloys using nonconsumable arc melting of
constituent elements (99.999 mass% Al, 99.99 mass% Cr, 99.95 mass% Ni) in a water-cooled copper
crucible under argon gas. Then homogenization was carried out in commercial purity argon gas for 24 h at
1400°C, using heating and cooling rates of 0.083 K/s. DTA was employed using samples prepared by
pulverizing ~10 to 50 g of each homogenized casting to powder. Investigation of the NiAl-Cr eutectic alloys
was conducted by [1978Vol], and also by [1992Gor] in the composition range 12 to 33 at.% Al. [1992Gor]
investigated also eutectic alloys Cr- Ni in the range of 0 to 15 at.% Al. Directional eutectic crystallization
was performed by [1970Cli, 1970Wal, 1971Cli, 1973Wal, 1978Vol, 1986Gor] and [1996Ros] on NiAl-Cr
alloys produced in an arc furnace, cast into rods in an induction furnace, followed by directional
crystallization by the Bridgman method in a vertical furnace. The phases with crystal structure different
from one of the binary phases were revealed and investigated by [1982Tu, 1989Zho, 1990Col, 1996Ros,
1997Li, 1997Sat, 2000Uch] and [2001Com]. For the first time the existence of a ternary phase in Al-Cr-Ni
has been reported by [1982Tu]. The phase was found in a sample pack-aluminized at 900°C and then it was
prepared as single phase (according to metallography) of Cr15Ni10Al75 composition. The structure was not
determined. A ternary phase with the same composition and four more ones were obtained by [1996Ros] in
as-cast and annealed Al-rich alloys. The aspect of the phase diagram concerned and investigated to
liquid-solid equilibria in the subsection AlCr-AlNi-Al was investigated by [1996Ros] and [2001Com]. The
alloys by both [1996Ros] and [2001Com] were prepared by melting of high purity (99.9 mass%) constituent
Al, Cr and Ni. But [1996Ros] carried out the melting process in an inductive cold crucible under an argon
atmosphere as well as by the addition of chromium and aluminium to prealloyed NiAl3 or Ni2Al3compounds, just as [2001Com] used arc melting under an argon atmosphere. The alloys were investigated
in as-cast state [2001Com] or in addition after quenching from selected temperature in the DTA experiment
process. Compositions of the phases were determined using SEM-EDX [1996Ros, 2001Com], EDS (Link
AN10000 system) and EMPA (on a Cameca SX50 microprobe) [1996Ros]. Phase structures were identified
by TEM [1996Ros]. The transformation temperatures in alloys were measured by DTA on samples of about
1 g masses using the cooling and heating rates 5K min-1 or less, however, the fields of primary
crystallization are given without direction of temperature change. This was also shown on liquidus surface
projection of the AlCr-AlNi-Al subsystem by [2001Com], where the temperatures of the invariant equilibria
are also not indicated.
The crystal structure of the ternary phases obtained by rapid solidification and in conditions of conventional
cooling rate were investigated by [1989Zho, 1997Li, 1997Sat], and [2000Uch] using SEM-EDX, TEM, and
HREM, and modeling. Accurate determination of lattice parameters was used by a series of investigators
for a precise characterization of the extent of the mutual solid solution behavior in the Al-Cr-Ni ternary
[1952Tay2, 1955Kor1, 1955Kor2, 1958Bag2, 1959Gua, 1960Kor, 1961Ham, 1961Pry, 1963Arb,
1964Ram, 1965Ram, 1971Cli, 1972Sch, 1976Low, 1983Och, 1984Och1, 1984Och2, 1985Mis, 1996Ros,
1997Kre, 1999Zak, 1999Zya] and [2001Com]. Samples were generally prepared by melting under argon
followed by various heat treatments under argon in sealed silica capsules. [1960Kor] and [1961Pry]
annealed their alloys for 200 h at 1200°C and 100 h at 1000°C in evacuated silica tubes followed by a water
quench. Samples of [1961Ham] were prepared by high frequency melting in vacuum, then homogenized for
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4 h at 1260°C and hot rolled whereby the material was reheated five times to 1260°C for 10 min. These
specimens were then aged at selected temperatures for 12 to 24 h and quenched in iced brine. Whereas
[1952Tay2, 1955Kor1, 1955Kor2, 1958Bag2, 1960Kor, 1964Ram, 1965Ram, 1971Cli, 1972Sch,
1976Low, 1984Och1, 1984Och2, 1985Mis] and [1999Tia, 2002Fis] deal with the extent of the NiAl and
(Ni) phase regions, the problem of Cr substitution in ' Ni3Al is treated by [1952Tay2, 1959Gua,
1961Ham, 1963Arb, 1966Arb, 1984Och1, 1984Och2] and [1985Mis]. In search for a MgCu2 type phase,
[1964Ram] and [1965Ram] studied two alloys: Cr25Ni13Al6 (arc melted, as-cast) which was a
homogeneous Cr5Al8 type, and Cr33Ni33Al34 which, as-cast and/or after 85 h at 700°C, revealed a CsCl
type phase in accordance with the 750°C isothermal section of [1952Tay2]. Based on earlier investigations
by [1959Gua, 1963Arb] and [1966Arb], the extent of the 'Ni3Al phase field on alloying with Cr as well as
the mode of atom substitution has been investigated by [1983Och, 1984Och1, 1984Och2] and [1985Mis]
by means of X-ray diffractometry and metallography, assisted by hardness measurements from [1959Gua]
and [1963Arb]. Three series of alloys, CrxNi3Al1-x, CrxNi3-xAl and Crx(CryNi1-y)3Al1-x, were prepared by
[1983Och, 1984Och1, 1984Och2] and [1985Mis], who essentially confirmed earlier data [1966Arb] with
Cr replacing Al in CrxNi3Al1-x while in general Cr was found to substitute for both lattice sites in
Crx(CryNi1-y)3Al1-x.
Binary Systems
The Cr-Ni system is adopted according [Mas2]. The Al-Cr and Al-Ni systems are accepted from [2003Cor]
and [2003Sal], respectively.
Solid Phases
Data on the solid phases are presented in Table 1. For the Al-poor range of compositions below the
Cr5Al3-Ni2Al3 tie-line, no ternary phases are found. In the Al-rich corner several ternary phases have been
found in as-cast (or annealed and cooled at conventional rate) alloys. Also a hexagonal metastable phase in
the rapidly solidified Cr0.5Ni0.5Al6 alloy together with decagonal and icosahedral quasicrystals was found
by [1989Zho]. It appears during the quasicrystal-to-crystal transition and its structure closely resembles that
of the decagonal quasicrystal and stable orthorhombic phases because of the presence of icosahedral
subunits. The hexagonal phase after heating up to 300°C transforms into an orthorhombic structure.
Monoclinic 1, orthorhombic 2, and hexagonal 3, 4, 5 phases reported by [1996Ros] and [1997Li,
1997Sat] are of own crystal structure types. The structure of 1 and 2 are rather complicated, each of them
exhibits very large cell parameters and different polytypes and superordering. The high temperature
rhombohedral 3 and hexagonal 4 phases are found to be of related structure. The orthorhombic 1'
polytype forms because of a periodic multiple (100) twinning of 1. The orientational relationships between
the 1 monoclinic and its orthorhombic polytype structure are as follows:
(010)monocl. || (001) orthor.
(001)monocl. || (010) orthor.
(100)monocl. || (100)orthor.
and relation between the cell parameters is: amonocl. = (corthor · sin-1 )/2, bmonocl. = aorthorh., cmonocl. =
borthor. The a and b parameters of 2 appear to correspond to those of the 1' phase, which is an orthorhombic
polytype of 1. This is confirmed by the orientational relationships between the orthorhombic 1 and
orthorhombic 2 phases. They are as follows:
(100) 1 || (001) 2
(001) 1 || (100) 2
(010) 1 || (010) 2
and relation between the cell parameters is:
a 2 = b 1, b 2 = a 1, c 2 = (7a 1·sin 1)/6.
Triclinic superstructure of 2 ( 2’) is supposed by [1996Ros], with cell parameters being equal:
atricl. = 2a 2, btricl. = b 2 , ctricl. = 2c 2, or orthorhombic polytype with cell parameters two times larger than
those of 2. The orientational relationships between the two structures of 3 and 4 are as follows:
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Al–Cr–Ni
(III) || (000I)
(II0) || (I2I0)
(II2) || (I0I0) and 4 = 2a 3,rhomb. · sin( /2). These two phases ( 3 and 4) are considered to be high
temperature ones. The 5 phase is reported as stable at low temperature, and forming through reaction
between 3 and 4. The structure of the 3, 4 and 5 phases is very close to that of CrAl4. However
substitution of Al or Cr atoms by Ni atoms in the CrAl4 structure does not occur or is very small.
[2001Com] claimed that they confirmed the phases described by [1996Ros] with the microstructure and the
composition measurements. But there are some dissensions in the results of [1996Ros] and [2001Com]
concerning phase compositions. The phases considered by [1997Li, 1997Sat] and [2000Uch] are the same
as 4 (h) of [1996Ros]. The latter is shown to be related to icosahedral quasicrystals, and to have a large unit
cell with 222 atoms, with transition metals Cr and Ni co-occupying the same positions [1997Li, 1997Sat].
[2000Uch] proposed a new interpretation of this phase structure as modulated one instead of generally
accepted description in terms of the aggregations of clusters. The proposed modulated structure is basically
composed of close-packed layers with ordered atomic vacancies owing to the occurrence of
charge-density waves.
Pseudobinary Systems
There is no pseudobinary section in the Al-Cr-Ni system. But the pseudobinary eutectic exists within an
isopleth shifted to the Al corner and its temperature is somewhat higher compared with the accepted one by
[1984Mer1, 1991Rog] for the radial Cr - Ni0.5Al0.5 section. This displacement may be attributed to the
experimental observation of [2001Com] and was shown in thermodynamic assessment of [2001Dup]. There
is no special investigation concerning the location of the tie-line with maximal temperature in the two-phase
( Cr)+NiAl1±x field.
Invariant Equilibria
Seven ternary invariant equilibria in ternary system are reported (Table 2): maximum decomposition of the
liquid e1 at temperature of about 1445°C (see section Pseudobinary Systems) within maximal tie-line
Cr-NiAl1+x; eutectic decomposition of the liquid E1 at 1300±20°C, which is the average of the data of
1320±10°C [1952Tay2], 1300°C reported by [1955Kor2], and the calculated ternary eutectic at 1288°C by
[1981Sto] as well as at 1280°C by [2001Dup]; a transition type reaction U1 at 1350°C [2001Dup] which is
in a reasonable agreement with value of 1340 ± 10°C reported by [1952Tay2] which, due to the mode of
formation of the ' phase, was slightly altered by [1984Hil, 1988Bre], and two more transition reactions, U2
and U3, involving the binary Ni2Al3 and Cr5Al8 phases. These reactions were already postulated by
[1984Mer2] in the proposed partial reaction scheme for the Al-Cr-Ni system. The solid state transition
reaction U4 at 996°C after [2001Dup] is in a good agreement with a value of 990 ± 3°C [1982Tu], which
was earlier proposed at 1000°C by [1952Tay2]. The eutectic four-phase invariant reaction E2 exists at
634°C [1996Ros], and one of the preceding processes of crystallization, with participation of the phase
and aluminium, being incongruent in the binary Al-Cr system, l+ (Al), in the ternary system changes the
character to congruent one: L (Al)+ . The compositions of the phases in U1, E1, and U4 equilibria are
given by [2001Dup]. The compositions of the other liquid phases are given explicitly by [1952Tay2] and
[1955Kor2], and those of the solid phases are constructed by extrapolation from EMPA data given by
various research teams [1991Rog]. A partial reaction scheme is presented in Fig. 1.
Liquidus Surface
The liquidus projection, as shown in Fig. 2, is essentially based on the early data by [1952Tay2, 1954Kor,
1958Bag1] and [1993Cot1] followed by critical discussion by [1982Wes, 1984Mer1] and [1991Rog].
Additionally to the isotherms corrected slightly by [1991Rog] with respect to the accepted boundary
systems and the melting point of Cr at 1863°C the isotherms based on [2001Dup, 1993Cot1] data are
proposed in Fig. 2. Figures 3 and 4 present calculated liquidus surface by [2001Dup] and the ,NiAl phase
liquidus surface in vicinity of Ni0.5Al0.5 composition after [1993Cot1]. The liquidus surface projection in
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Al–Cr–Ni
the Al-rich corner is not established. The experimental data of [1996Ros] and [2001Com] concerning the
map of the liquidus surface in the Al-rich corner disagree with each other, although the phases in the as-cast
alloys were the same according to [2001Com]. Neither the direction of the monovariant temperatures nor
the invariant temperatures are given by [1996Ros]. And the relative dislocation of the primary fields and
ternary phase compositions given by [2001Com] are inconsistent with each other from the view point of
geometrical thermodynamics and with the shown temperature change direction along the monovariant lines.
Isothermal Sections
The earlier published information [1952Tay2, 1958Bag1, 1958Bag2, 1958Kor, 1982Tu, 1984Mer2,
1983Lan, 1983Och, 1985Ofo, 1987Nes1, 1987Nes2] and [1989Hon], assessed by [1991Rog], and
[1992Gor, 1993Cot1, 1994Jia, 1999Tia] is concerned with the NiAl-Cr-Ni subsystem covering the
temperature range from ~600°C to solidus. [2001Dup] thermodynamic assessment covered many of the
mentioned and recent publications [1990Dav, 1990Kek, 1994Yeu, 1996Wu, 1999Sun]. Generally a good
agreement between calculated and experimental data for investigated temperature and composition ranges
was obtained. Both, experimental and calculated isothermal sections are presented in Figs. 5 to 16. Figure
17 demonstrates phase solidus surface in the vicinity of its equiatomic composition. The main
characteristic is the increase in the Cr solubility in the ' phase field with decreasing temperature. Phase
relations at 750 and 850°C in the Ni-rich corner for more than 50 at.% Ni are due to [1952Tay2] and
presented in Fig. 15 and Fig. 13 with minor adaptation to the accepted binaries [1991Rog]. Isoparametric
lines for the size of the unit cell within the and ' phase fields reveal the difficulties in the X-ray resolution
of the two bcc-phases in a certain restricted composition range, where the exact overlap of the X-ray high
angle reflections tends to mask the duplex structure. Whereas fcc-fcc precipitation usually occurs on the
(111) planes, [1952Tay2], in the region with equal lattice parameters of the and ' phases, a preference of
the '-precipitates for the rectangular-cubic to the usual spheroidal shape growing on the (100) planes is
observed. Phase relations, as found in slowly-cooled samples, were reported to essentially correspond to the
750°C isothermal section [1952Tay2]. [1952Tay2] was first to observe the + + ' transition reaction,
which was attributed to the 1000°C isothermal section. Later thermal analysis by [1982Tu] gave a value of
990 ± 3°C for the four-phase reaction isotherm. The effects of alloying on the temperature of the + + '
transition reaction were studied by [1976Jac]. Employing EMPA, [1982Tu] provided a phase triangulation
in the ternary up to 60 at.% Al at 1025°C, which is presented in Fig. 10a. The tip of the ' phase field has
been accurately re-determined by [1983Lan] overcoming the matrix effects of [1982Tu] in the EMPA
analysis of the ' precipitates. Some controversies exist between the phase relations at temperatures around
1025°C according to [1982Tu, 1983Lan] and the isothermal sections designed by [1977Jac1] and
[1977Jac2] for the temperature range ~950 to ~1100°C. The discrepancies mainly concern the postulated
+ equilibrium, which is in contradiction to the findings of [1982Tu, 1983Lan] and [1985Ofo]. A second
argument concerns the curvature of the phase boundary in the ternary, which in the original paper by
[1977Jac1] was shown with a negative curvature with respect to the Al-Cr boundary, but was later corrected
by [1977Jac2] to be consistent with the experimental findings of [1958Bag1, 1982Tu, 1983Lan] and
[1985Ofo]. Figure 7a gives the phase relation at 1150°C as determined by [1952Tay2] and [1958Bag1] and
by a more complete and herein accepted EMPA study by [1985Ofo]: inconsistencies mainly concern the
extensions and widths of the , and ' phase fields. Whereas [1952Tay2] arrived at a rather exaggerated
Cr-solubility in the phase, the data by [1985Ofo] seem to support earlier results by [1958Bag1] revealing
a maximum solubility of 10 at.% Cr at 30 at.% Al. Agreements exist on the maximum Cr solubility in the
' phase of 8 at.% Cr at 22 at.% Al [1952Tay2, 1958Bag1] and [1985Ofo]. The form and extension of the
field [1985Ofo] (Fig. 7a), however, need further investigation. Unlike [1985Ofo], [2001Com] in as-cast
alloys found the content of Ni in phase to be equal 3.3 at.% only and Ni decreases slightly the content of
Al in . This finding agrees with [1982Tu, 1983Lan] data for 1025°C (Fig. 10a).
Replotting the lattice parameter values obtained by [1952Tay2], [1955Kor1] showed a partially linear
variation of the lattice parameters of the (Cr, Ni, Al) solution at 20 at.% Cr up to 10 at.% Al. Similarly,
based on X-ray and metallographic analysis, hardness measurements and electrical resistivity data,
[1960Kor] and [1961Pry] showed a linear variation of the lattice parameters of the (Cr, Ni, Al) solid
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solution at 11.1 at.% (10 mass%) Cr up to 16.9 at.% Al (at 1200°C) and up to 13.2 at.% Al (at 1000°C),
respectively. The / ' phase boundary as a function of temperature, as assessed by [1961Ham] from
extensive metallographic studies by electron microscopy and high temperature X-ray diffractometry in the
range from 750 to 1200°C and within the vertical section Ni3Al-CrNi3, reveals slight deviations from the
values obtained by [1952Tay2]. The / ' solvus boundary [1961Ham] tends to show larger Al solubility in
the phase at lower temperatures, but smaller Al contents at temperatures above 1000°C. The data of
[1961Ham] are, however, in a good agreement with the EMPA studies of [1982Tu, 1983Lan, 1984Car] and
[1985Ofo]. The / '-solvus lines at 827, 927, 1027 and 1127 were obtained by employing DTA with
support from energy dispersive X-ray spectroscopy combined with SEM-ELY. Their results, on the
contrary, show slightly smaller Al solubilities in the phase with respect to [1961Ham]. Therefore, the data
of [1952Tay2] are accepted for the 750 and 850°C isothermal sections, whereas the outline of the field at
1025 and 1150°C is accepted according to the measurements by [1982Tu, 1983Lan, 1984Car] and
[1985Ofo], despite the fact that their curvature of the Al-rich / ' boundary is opposite to [1989Hon].
Isothermal sections above 1150°C are primarily concerned with the + + and the + + ' equilibria
[1958Bag1 and 1958Kor], and [1987Nes1], and [1987Nes2]. Solubility data [1958Bag1] and [1958Kor] are
listed in Table 2. An estimated phase field distribution at 1200°C is given by [1987Nes1]. His investigation,
however, mainly concerns the / + boundary ranging from 57 at.% Ni at 10 at.% Al to 72 at.% Ni
at 15 at.% Al.
The calculated by [2001Dup] partial isothermal sections at 750, 800, 850, 900, 1000, 1025, 1100, 1150,
1200 and 1300°C are presented in Figs. 5 to 15. As one can see, the calculation showed a smaller solubility
of Cr in and phases compared with the experimental data [1952Tay1] and [1952Tay2] at 750 and
850°C, and uncommon form of phase solvus as well as a negative curvature of Cr solvus isotherm at
1150°C. The calculated smaller solubility of Cr in ’ at temperatures lower than 1000°C was confirmed in
experiments of [1983Och], who dealt with longer heat treatment time of alloys at 1000°C and their higher
purity than [1952Tay2]. These data well agree with calculated isothermal section. Elevated solubility value
reported in earlier works could be due to not fully equilibrated samples or due to the poor sensitivity of the
experimental methods. The minimal solubility of Cr in the equiatomic NiAl phase according to the
calculation [2001Dup] shown in Figs. 7b, 10b, 13b, 15b is supported by experimental points of [1982Tu] in
the isothermal section at 1025°C (Fig. 10a), although approximation made by [1983Lan] does not cover
these experimental points.
[1999Tia] found by TEM that the solubility of Cr in NiAl at Al contents of 48 to 50 at.% is not more than
8 at.% for alloys annealed for 74 h at 1290°C and quenched; and it is less than 2 at.% in the range of 700
to 800°C. These data were obtained on alloys of high purity: starting materials were 99.9 mass% Ni, 99.99
mass% Al and 99.8 mass% Cr. The same result was obtained by [2002Fis] for 550°C using atom probe field
ion microscopy. Data of [1993Cot1] concerning solubility of Cr in NiAl at low temperature shown in Fig.
16 are in a good agreement with [1999Tia] and [2002Fis]. [1997Sch] reported the solubility of Al in in
+ equilibria at 600°C to be less than after [1952Tay2] for 2 to 3 at.% within the whole phase boundary
extension. The results were obtained by both three-dimensional atom probe and TEM technique on aged
low supersaturated alloy 5.2 Al 14.7 Cr (at.%). Isothermal sections at 750, 1000, 1227, 1327, 1427, 1527,
1627, and 1727°C earlier have been calculated by [1974Kau] with some shortcomings in so far as the
bcc-phase was calculated to be stable for the entire solution range and no quasibinary behavior along the
NiAl-Cr section was revealed. These features have mainly been overcome in the later calculations of the
isothermal sections at 1027, 1127, 1227, 1327, 1427 by [1980Cha] and [1985Bar].
Temperature – Composition Sections
Early thermal and microscopic investigations along the vertical Cr-NiAl section by [1953Kor],
complemented by hardness and resistivity measurements, revealed a binary eutectic at 1445°C and
33.6Cr-33.2Ni-33.2Al (at.%). This shows a rather restricted solid solubility of the two and bcc type
phases. [1952Tay2] determined the eutectic + at 30Ni-30Al (at.%), whereas the findings of [1958Bag1]
and [1958Bag2] resulted in 37.4 to 28.2 at.% Cr. More recent studies by [1978Vol] located the binary
eutectic in the vertical section Cr-NiAl at 32.5Ni-32.5Al (at.%) and further studies by [1970Cli, 1970Wal,
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1971Cli, 1973Wal] and [1984She] arrived at 34Cr-33Ni-33Al (at.%). The microstructure of melt-spun
ribbons of the NiAl-Cr eutectic composition (34 at.% Cr) has been studied by optical and TEM microscopy
[1984She]. At 1200°C the Cr phase contains 20.6 mole% NiAl, whereas for the ,NiAl phase a Cr content
of about 8 at.% was estimated by [1984She, 1999Tia]. X-ray diffraction patterns of the CsCl and bcc lattices
were said to be indistinguishable. The EMPA data on the mutual solid solubilities within Cr-NiAl section
reveal consistently a much larger solid solubility at 1025, 1150 and 1200°C, than earlier reported by
[1953Kor, 1958Bag1] and [1958Bag2]. For 1025°C these data are reported by [1982Tu, 1983Lan, 1984Car,
1983Ofo]; for 1150°C - by [1985Ofo]; for 1200°C - by [1984She]. The authors [1953Kor, 1958Bag1] and
[1958Bag2] considered the Cr-NiAl section as a quasibinary system, and [1991Rog] presented it in such a
way essentially based on [1953Kor, 1958Bag1, 1958Bag2] and [1982Tu, 1984Car, 1983Ofo, 1985Ofo,
1987Ofo]. But the solidus temperature in the + phase field is not available and there is no evidence that
1445°C is a maximum solidus temperature of this phase field, which is a necessary condition for the
quasibinary section. There are wide ranges of ( Cr) and NiAl solid solutions based on congruent phases
coexisting in equilibria in this ternary system. In such a kind of systems, deviation of the quasibinary section
from the connected line is a common feature. Therefore it is not surprising that thermodynamic calculations
of both [1974Kau] and [2001Dup] revealed no quasibinary behavior along the Ni-AlCr section. This result
seems to be confirmed by the experimental points for the set of tie-lines given by [1982Tu, 1983Lan] for
1025°C.
Polythermal Cr-NiAl section according to [2001Dup] is given in Fig. 18. The calculated liquidus and
solidus of phase is in a complete agreement with data [1993Cot1] and -solvus is in agreement with
[1958Bag, 1953Kor]. The Ni3Al-Ni3Cr section has been investigated by [1952Tay2, 1953Kor] and
[1961Ham]. The experimental isopleth after [1952Tay] is reproduced in Fig. 19a from [1961Ham], who
confirmed data [1952Tay2], and calculated by [2001Dup] one is given in Fig. 19b. The isopleth sections
53Cr47Ni - 40Cr45Ni15Al and 49Cr43Ni18Al - 34Cr33Ni33Al, which are close to the monovariant L
curves of the L ( Cr)+ and L ( Cr)+ Ni eutectics, are given in Figs. 20, 21 according to [1992Gor] data
after minor correction in liquidus-solidus ranges taking into account the ternary system liquidus
constitution.
Thermodynamics
The thermodynamic activities of Al in the ternary system for the Cr0.0838Ni0.9162-Al section with
aluminium content from 0 to 21 at.% have been determined by [1966Mal] and [1968Mal] using the emf
method. The measurements were conducted at temperatures of 1045, 1090, 1135, and 1180 K. The obtained
values of excess integral Gibbs energies and entropies of formation of ternary alloys from solid components,
as well as activity coefficients at 1045 and 1180 K are presented in Table 3. Because the values of fSex
were determined using the fSex = ( GT1
ex - GT2ex)/(T2 - T1) formula, and T1 and T2 are minimum and
maximum values (772 and 907°C, respectively), the obtained values of fSex can be considered rough. The
excess integral Gibbs energies of the ’ phase containing 21 at.% Al are -24.27 kJ·mol-1 and -24.77 kJ·mol-1
at 772 and 907°C, respectively. The thermodynamic activities of Al, Cr, Ni at 1423 K in the binaries as well
as in the Al-Cr-Ni ternary have been determined by [1983Ofo] and [1985Ofo] using Knudsen cell mass
spectroscopy. Some difficulty was experienced with alloys exhibiting high Al vapor pressures, which
caused rapid deterioration of the thermocouples and the tantalum used in the construction of the Knudsen
cell furnace. The obtained data are presented in Table 4. With applying a defect model, [1988Hoc]
calculated the activity of Cr in (NiAl) assuming that NiAl is a compound or a solid solution. The calculated
results do not show significant discrepancy. [1990Kek] measured the enthalpy of formation of ternary alloys
Cr-72Ni-23Al, Cr-70Ni-22Al and Cr-67Ni-21Al (at.%) at room temperature by solution calorimetry. It was
reported that the alloys were of ’ single-phase, according to X-ray and metallographic examination results.
The temperature of heat treatment, however, was not given. The enthalpies of formation of these three alloys
at 298 K are 36.7 ± 1.4 kJ·mol-1, 35.2 ± 1.4 kJ·mol-1 and 36.7 ± 1.4 kJ·mol-1, respectively. [1992Hil] studied
the vaporization of the Ti-1.85Ta-3.9W-2.05Mo-14.9Cr-70.3Ni-4.5Al (mass%) alloy using Knudsen
effusion mass spectrometry in the temperature range 1393-1562 K. The partial pressures of Cr, Ni and Al
were determined in this temperature range (Table 5). Chemical activities and excess chemical potentials
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were evaluated from these pressures for a temperature of 1500 K (Table 6). [2000Sal] determined the partial
and the integral enthalpies of mixing of liquid constituent ternary alloys along four isopleths xCr/xNi,
namely, 0.18, 0.43, 1.00 and 4.00, by high temperature isoperibolic calorimetry at 1454 ± 5°C. The results
were analytically described by the thermodynamically adapted power series according to the Kohler
interpolation geometry and to a regular association model (RAM). The maximal discrepancies between
experimental and calculated values do not exceed 1 kJ·mol-1, which is within the confidence bands of the
data measured. On the basis of data on phase equilibria and thermodynamic properties, a new
thermodynamic description was developed by [1999Hua] by thermodynamic modeling. The liquid, bcc, and
fcc phases were modeled as substitutional solutions. No ternary phases were included. The comparison
between the calculation and experimental data are presented. The calculated and experimentally determined
activity data of Cr, Ni and Al at 1150°C [1983Ofo, 1985Ofo] as well as the enthalpies of formation of series
of the alloys at 25°C [1990Kek] are in a good agreement. Thermodynamic modeling of the ternary system
was done by [2002Bro] using Thermo-Calc software package. Two different sets of thermodynamic
parameters of Al-Cr-Ni system for two types of thermodynamic models were published for the first time in
the literature. The comparison shows acceptable agreement between the calculated and experimental data.
Notes on Materials Properties and Applications
[1960Kor] showed an increase in hardness values for Al-10 mass% Cr-Ni alloys from 1300 MN·m-2 at 3
mass% Al to 2500 MN·m-2 at 8 mass% Al. Hardness-temperature curves have been measured by [1959Gua]
on Ni3Al-2.5 and 7.5 at.% Cr alloys. [1999Tia] studied the hardness variations during aging of phases
based alloys using a micro-Vickers hardness tester. It was established that typical age-hardening and
over-age softening occur by fine precipitation of Cr in NiAl under aging after quenching from high
temperatures. The degree of age hardening of stoichiometric NiAl in which equal amounts of Ni and Al are
replaced by Cr is smaller than that obtained in off-stoichiometric NiAl. [1983Dan] investigated the
influence of the microstructure in the cast 70 AlCrNi alloy on its ductility during deformation and
[2001Com] investigated the effect of alloys microstructure on Vicker’s microhardness in the
aluminium-rich corner. Compression creep behavior was investigated in ternary single crystals
containing Cr with stress axes parallel to the crystallographic orientation near [001] [1991Fie]. Some
mechanical properties of the intermetallics based alloys were investigated by [1991Miu, 1993Cot2,
2002Guo]. [1987Nes1, 1987Nes2] and [1987Nes3] studied interdiffusion in Ni-rich Al-Cr-Ni alloys at 1100
and 1200°C. Concentration dependent ternary interdiffusion coefficients were derived from EMPA studies
of / and / + diffusion couples, and a ternary finite-difference interdiffusion model was employed to
predict concentration profiles, which at 1100 and 1200°C were in a good agreement with the measurements.
[1997Kai] investigated pseudo-interface formation as well as diffusion behavior in the B2 phase region of
NiAl-based diffusion couples (concentration ranges 30-60 at.% Al, 0-10 at.% Cr) using EMPA. Also the
isoactivity lines for alloying elements in the B2 phase were calculated. In the CALPHAD summary
[1999Kau], results of studying diffusion couples at 1200°C combined with calculations based on
thermo-calc and DICTRA Programs are presented. Assessments of diffusional mobilities were carried for
face-centered cubic alloys [1996Eng] and for Ni-base superalloys [2002Cam]. Models for simulating
diffusion in multiphase dispersion were applied by [1997Eng] and [1998Mat] to multiphase diffusion
couples at 1200°C. A general equation for the effective diffusivity (Deff) in a two-phase + region was
derived by [1999Che] based on the assumption that the second phase can be treated as a point source or sink
of solute. The variation of Deff in the + region was calculated and shown to be up to 70 %.
[1978Vol] and [1986Gor] examined the possibility of obtaining a directionally crystallized eutectic,
whereas the effect of alloy additions on the rod-plate transition in the directionally solidified NiAl-Cr
eutectic was studied by [1970Cli] and dislocation networks at the interface between phases were studied by
[1971Cli]. The rod-plate transition was observed to occur near the composition for zero lattice mismatch.
The average coefficient of thermal expansion of NiAl was 1.4 10-5 and that of Cr was 1.1 10-5 as obtained
from X-ray diffraction in the temperature range from room temperature to 1000°C [1970Cli]. Similar
investigations concern the effect of solidification rate on structure and high temperature strength
[1970Wal], on the stability of the directionally solidified Cr-NiAl eutectic [1973Wal] as well as the effect
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of rapid solidification rate on the microstructure and phase solubility in Cr-NiAl eutectic [1985Boe]. A
two-dimensional model for solidification and secondary phase precipitation in directionally solidified
superalloys is presented by [2000Boe], with application to Al-Cr-Ni as a ternary model system.
[1960Kor] established that the electric resistivity for Al-10 mass% Cr-Ni alloys increases from
0.85·10-4 m at 3 mass% Al to 1.5·10-4 m at 8.5 mass% Al. [1972Sch] studied the polarization relations
to quantitatively isolate the ' phase by electrochemical treatment from Al-Cr-Ni alloys with more than 70
at.% Al. The isolated particles were examined by X-ray and electron microscopy. The lattice parameters did
not change with changing the form or size of the particles. Dependence of the magnetic susceptibility on the
temperature in the interval 0-1000°C of the alloy Cr6.5Ni46.1Al47.4 (at.%) was established by [1999Zya]. No
long-range ordering is observed in the Ni3Al-CrNi3 phase in the temperature range 893-1073°C
[1961Ham]. In high-Al-content alloys, the precipitation rate is extremely high and cannot be suppressed
by ice-brine quenching; the creep strength and yield strength of CrNi3-Ni3Al alloys at 750°C increased five
or six fold as a result of precipitation [1961Ham]. Atom probe field-ion microscopy (APFIM) data were
used by [1984Hil] to differentiate the spinodal decomposition mode in a Ni-14Al (at.%) alloy and a
nucleation, growth and coarsening mechanism for the two-phase microstructure of a Ni-20Cr-14Al (at.%)
alloy in the quenched state at 620°C [1984Hil]. High temperature X-ray diffraction was used by [1971Cli]
(25 to 1000°C) and [1976Low] (25 to 1200°C) to study the temperature variation in the unit cell dimensions
for the , , , and ' phases in a series of Cr-Ni-Al alloys ranging from 6 to 30 at.% Al and 10 to 22 at.%
Cr [1976Low], and for ,NiAl in a directionally solidified eutectic alloy containing 34 vol% Cr rods of 2
m diameter in the NiAl matrix [1971Cli]. Unit cell dimensions were found to follow an empirical thermal
expansion equation a(T) = a (250°C)(1+R)(1+T/293)1.5 where the expansion constant R was given as
13.4 10-4 for Cr, 19.2 10-4 for / ' and R = 19.9 10-4 for NiAl [1976Low]. [1996Sch] and [1997Sch]
presented results of atomic scale investigation of ordering and precipitation of the ' phase in a model
Al-Cr-Ni alloy, composition of which was 15Cr80Ni5Al (at.%) or 14.7Cr80.1Ni5.2Al (at.%), respectively,
aged at 600°C. Both three-dimensional (3D) atom probe (AP) and TEM techniques were used. It was shown
in both publications that small ' particles, 2 nm in diameter, form already after 1 h. Even for such very
small sizes, particles are well ordered. Their composition is close to the equilibrium composition of the '
phase and does not evolve as ageing proceeds. The time evolution of the particle size and of the composition
of the matrix suggests that a growth mechanism is involved before 4 h, followed by a coarsening regime.
The alloys on the base of the ' phase were also studied by [1997Kre], [1997Sai] and [2001Ter]. [1997Kre]
established the presence of the hypostoichiometric ' Ni3Al phase in chill- cast Ni20Cr13Al alloy using XRD
and TEM. The spheroid particles of ' change their shape to cubical at the very beginning of annealing at
800°C. This change is accompanied by a decrease in volume fraction of ' and at the same time by an
increase in hardness. Such annealing also leads to the precipitation of Cr-rich phase, starting at grain
boundaries. The Monte-Carlo method was applied by [1997Sai] to the simulation of temporal evolutions of
atomic arrangement in Ni-base ternary alloy Cr3.0Ni73.5Al23.5 (at.%). The ordering of the fcc phase to
L12 structure is controlled by randomly selecting a single atom with one of its neighboring atoms. [2001Ter]
proposed a method of the site preference determination of substitutional elements in intermetallic
compounds through the measurements of thermal conductivities. The authors note that the laser-flash
method for thermal conductivity measurement is very convenient for intermetallic compounds, since the
preparation of a coin shaped specimen for the laser-flash measurement is very easy to achieve even for
brittle materials. It is demonstrated in Ni3Al-2Cr (at.%) alloy that the ridge direction in thermal conductivity
contours in the ternary ' phase agrees with that of the solubility lobe of the ' phase in ternary
phase diagrams.
[1999Tia, 1999Zak] and [2002Fis] investigated phase based alloys. In particular, [1999Tia] and [2002Fis]
studied the precipitation of ( Cr) in B2-ordered ,NiAl using TEM method [1999Tia] and atom probe field
ion microscopy [2002Fis]. According to [1999Tia], by aging at temperatures around 1073 K after solution
annealing at 1290°C, fine spherical particles of Cr appear in the NiAl matrix between the ( Cr), which
rapidly precipitate during quenching. Atom location by channeling enhanced microanalysis technique has
been used to determine the site occupancy of Cr in NiAl. [2002Fis] studied the alloys (at.%): Cr2Ni48Al48,
Cr2Ni49Al49 and Cr2Ni48Al50, annealed at 550°C for 100 h, and precipitates of ( Cr) were detected in the
first two alloys ranging from few nanometers in size. As to Cr2Ni48Al50 samples, different precipitates
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containing 77 at.% Cr and 23 at.% Al are observed in it. [1999Zak] established temperature coefficients of
linear and volume expansion of the Cr0.14NiAl1.03 alloy at temperature ranges of 25 to 760°C and 760 to
1000°C using high-temperature XRD studies. [1999Zya] investigated the electronic structure of the
Cr6.5Ni46.1Al47.4 (at.%) alloy. Mechanism of hot corrosion of the Al-Cr-Ni alloys were investigated by
[1993Gle] and [1996Lon]. Development of oxidation-resistant high-temperature intermetallics and
corrosion-resistant coatings was carried out by [1992Gra] and [1993Nic]. In particular, it was established
that an increase in the Cr content of two-phase NiAl-Cr alloys reduces the oxidation resistance [1992Gra].
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Al–Cr–Ni
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388
Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Ni
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice
Parameters
[pm]
Comments/References
(Al)
660.452
CrxNiyAl1-x-y
cF4
Fm3m
Cu
a = 404.88 pure Al, T = 24°C [V-C]
x = 0, y = 0 to 0.004 [2003Sal]
y = 0, x = 0 to 0.00375 [2003Cor]
, (Cr)
1863
, Cr1-x-yNiyAlx
cI2
Im3m
W
a = 288.4 pure Cr, T = 27°C [V-C]
x = 0, y = 0 to 0.31 [Mas2]
y = 0, x = 0 to 0.46 [1980Sch]
, (Ni)< 1455 CryNi1-x-yAlx
cF4Fm3mCu
a = 352.40a = 353.4a = 353.8a = 354.5a = 355.1a = 356.0a = 355.8a = 356.5
pure Ni, T = 25°C [1984Och2, Mas2]x = 0, y = 0.1 [1952Tay2]x = 0, y = 0.15 [1952Tay2]x = 0, y = 0.2 [1952Tay2]x = 0, y = 0.25 [1952Tay2]x = 0, y = 0.25 [1984Och2]x = 0, y = 0.3 [1984Och2]x = 0, y = 0.35 [1984Och2]
a = 352.8a = 353.8a = 355.1a = 355.8a = 356.3a = 353.2a = 353.7a = 354.1a = 354.8 a = 355.4a = 355.9a = 356.5
Slowly cooled alloys, x = 0.025 or 0.05, y = 0 to 0.3 [1952Tay2]:x = 0.025, y = 0x = 0.025, y = 0.12x = 0.025, y = 0.22x = 0.025, y = 0.27x = 0.025, y = 0.32x = 0.05, y = 0x = 0.05, y = 0.05x = 0.05, y = 0.1x = 0.05, y = 0.15x = 0.05, y = 0.2x = 0.05, y = 0.25x = 0.05, y = 0.3
[1985Ofo]:x = 0 to 0.16, y = 0 to 0.48, T = 1150°C [1982Tu]:x = 0 to 0.14, y = 0 to 0.43, T = 1025°C[1952Tay2]:x = 0 to 0.4, y = 0 to 0.4, T = 850°C x = 0 to 0.38, y = 0 to 0.37, T = 750°C
a = 356.4Quenched from 1200°C [1961Pry]:x = 0.17, y = 0.111
a = 354.6a = 355.3a = 353.5a = 362.3
Quenched from T = 1000°C:x = 0, y = 0.2 [1955Kor1]x = 0.1, y = 0.2 [1955Kor1]x = 0, y = 0.111 [1961Pry]x = 0.14, y = 0.111 [1961Pry]
Sublattice of ,(Ni), order-disorder transformation at~500°C
- x = 0.05, y = 0.4 [1952Tay1], adapted from [1991Rog]
389
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
, Cr2Al13
791
,
(Cr,Ni,Al)2(Al,Cr,Ni)13
mC104
C2/m
V7 Al45
Monoclinic
C2/m
(?)
Triclinic
P3m
(?)
a = 2519.6
b = 757.4
c = 1094.9
= 128.7°
a = 2525.6
b = 758.2
c = 1095.5
= 128.68°
a = 1100
b = 2470
c = 1320
= 113.85°
a = 1100
b = 1905
c = 1320
= 79.2°
= 113.85°
= 78.3°
Room temperature, 13.5 at.% Cr [1975Ohn,
1995Aud, 2003Cor]
Sometimes called CrAl7 in the literature
From 0 to ~2.5 at.% Ni, as-cast [2001Com]
In the alloys (at.%) Cr4Ni4Al92 and
Cr10Ni3Al87 quenched from liquidus
temperature [1996Ros]
In the alloy (at.%) Cr4Ni4Al92 quenched
from liquidus temperature, two polytypes,
resulting in a periodic (111) twinning of
[1996Ros]
, Cr2Al11
941
,
(Cr,Ni,Al)2(Al,Cr,Ni)11
oC584
Cmcm
a = 1240
b = 3460
c = 2020
a = 1260
b = 3460
c = 2000
16.9 to 19.2 at.% Cr [1995Aud, 2000Mah,
2003Cor]
Sometimes called CrAl5 in the literature
Quenched from 920°C, 16.9 to 19.2 at.% Cr
[1995Aud, 2000Mah, 2003Cor]
“ CrAl4” [1992Wen]
From 0 to ~5.5 at.% Ni, as-cast [2001Com]
, CrAl4
1031
, Cr1-xAlx
,
(Cr,Ni,Al)1(Al,Cr,Ni)4
hP574
P63/mmc
MnAl4 a = 1998
c = 2467
a = 2010
c = 2480
x = 0.78 to 0.80 [2003Cor]
x = 0.788 to 0.794, T = 800°C [1995Aud]
x = 0.791 ± 0.003 [1995Aud, 2000Mah,
2003Cor]
x = 0.777 ± 0.001, quenched from 1000°C
[2000Mah, 2003Cor]
From 0 to ~4 at.% Ni, as-cast [2001Com]
i, CrAl4 (or CrAl5) icosahedral - In spinning alloys Al-Cr at 8 to 13 at.% Cr;
or in transformed amorphous of 20 at.% Cr,
metastable [1998Mur]
1, Cr4Al9 (h)
1, Cr1-xAlx~1170 to ~1060
1,
(Cr,Ni,Al)4(Al,Cr,Ni)9
cI52
I43m
Cu4Al9
a = 912.3
x 0.65 to 0.70 [Mas2]
x = 0.71 at Al-rich limit, quenched from
920°C [1995Aud]
From 0 to ~3.3 at.% Ni, as-cast [2001Com]
From 0 to 3.5 at.% Ni; 3.5 at.% Ni at 60
at.% Al, annealed at 1025°C [1982Tu]
2, Cr4Al9 (r)
Cr1-xAlx 1060
hR52
R3m
Cr4Al9 a = 1291
c = 1567.7
x = 0.650 to 0.69 [Mas2]
[1968Lin, Mas2]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice
Parameters
[pm]
Comments/References
390
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
3, Cr4Al9 (r)
Cr1-xAlx 700
- - x 0.67 to 0.69 [Mas2]
1, Cr5Al8(h)
1, Cr1-xAlx~1350 to ~1100
1,
(Cr,Ni,Al)5(Al,Cr,Ni)8
cI52
I43m
Cu5Zn8
a = 904.7 to
910.4
x = 0.58 to 0.65 quenched from liquid
[1989Ell]
From 0 to ~3.3 at.% Ni; 3.3 at.% Ni at ~60
at.% Al, as-cast [2001Com]
2, Cr5Al8(r)
1100(?)
2, Cr1-xAlx
hR26
R3m
a = 1271.9
c = 793.6
a = 1276.5 to
1271.5
c = 795.4 to
782.8
a = 1272.8
c = 794.2
[1994ICD], No. 29-15
x = 0.58 to 0.65 [1989Ell]
[1977Bra]
, Cr2Al
<910
tI6
I4/mmm
MoSi2
a = 300.45
c = 864.77
a = 300.5(1)
c = 864.9(1)
~65.5 to 71.4 at.% Cr [1998Mur]
[1937Bra, 1998Mur]
[1989Ell]
X
400
Cr5Al3 or Cr3Al
superlattice
- Possibly metastable [1998Mur]
~75 to ~80 at.% Cr [1981Bro, 1981Ten]
- - In quenched alloys Cr-Al at 60 to 100 at.%
Cr, like metastable Ti in Ti alloys
[2000Sha1, 2000Sha2]
, NiAl3<856
, (Ni,Cr)Al3
oP16
Pnma
NiAl3
oP16
Pnma
CFe3
Modulated
a = 661.15
b = 736.64
c = 481.18
a = 661.3 ± 0.1
b = 736.7 ± 0.1
c = 481.1 ± 0.1
a = 659.8
b = 735.1
c = 480.2
a = 660
b = 740
c = 480
[L-B]
[1996Vik]
[1997Bou, V-C]
In the alloys (at.%) Cr9Ni9Al82 and
Cr4Ni4Al92, as-cast [1996Ros]
, Ni2Al3 <1138 a = 403.63
c = 490.65
a = 402.8
c = 489.1
36.8 to 40.5 at.% Ni [Mas2]
[L-B]
[1997Bou, V-C]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice
Parameters
[pm]
Comments/References
391
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
,
(Ni,Cr,Al)2(Al,Cr,Ni)3
a = 404.5
c = 489.5
a = 406
c = 492
a = 408
c = 494
a = 409
c = 496
a = 410
c = 493
From 0 to ~17 at.% Cr, as-cast [2001Com]
From 0 to 3 at.% Cr; 3 at.% Cr at 36 at.%
Ni, annealed at 1025°C [1982Tu]
In the alloy Cr0.14NiAl1.03 [1999Zak]:
T = 25°C
T = 400°C
T = 850°C
T = 1000°C
In the alloy Cr6.5Ni46.1Al47.4, T = 1000°C
[1999Zak]
Ni3Al4< 702
cI112
Ia3d
Ni3Ga4
a = 1140.8(1) [1989Ell, V-C]
, NiAl
< 1676
,
(Ni,Cr,Al)1(Al,Cr,Ni)1
cP2
Pm3m
CsCl
a = 287.04
a = 287.26
a = 286.0
a = 287.0
a = 288.72(2)
a = 287.98(2)
a = 289.0
a = 289.7
a = 290.4
a = 291.2
a = 291.9
a = 293.2
a = 290.2
a = 290.9
42 to 69.2 at.% Ni [Mas2]
57.7 at.% Ni [L-B]
46.6 at.% Ni [L-B]
[1987Kha]
63 at.% Ni [1993Kha]
50 at.% Ni [1996Pau]
54 at.% Ni [1996Pau]
[1971Cli]:
T = 0°C
T = 200°C
T = 400°C
T = 600°C
T = 800°C
T = 1000°C
33 at.% Cr, T = 600°C [1971Cli]
33 at.% Cr, T = 800°C [1971Cli]
0 to ~8 at.% Cr; ~8 at.% Cr at ~50 at.% Ni,
annealed at 1290°C [1999Tia]
0 to ~12 at.% Cr; ~12 at.% Cr at ~57 at.%
Ni, T = 1200°C [1984Car]
~8 at.% Cr at ~62 at.% Ni, T = 1127°C
[1989Hon]
8 at.% Cr at 58 at.% Ni, annealed at
1025°C [1982Tu]
0 to < 2 at.% Cr at 48 to 50 at.% Ni,
annealed at 550°C [2002Fis]
Ni5Al3< 723
oC16
Cmmm
Pt5Ga3
a = 753
b = 661
c = 376
63 to 68 at.% Ni [1993Kha, Mas2]
at 63 at.% Ni [1993Kha]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice
Parameters
[pm]
Comments/References
392
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
’, Ni3Al <1372
’,
(Ni,Cr,Al)3(Al,Cr,Ni)1
cP4
Pm3m
Cu3Au
a = 356.6
a = 357.0
a = 356.77
a = 356.32
a = 357.92
a = 356.3
a = 356.5
a = 357.0
a = 357.0
a = 356.1
73 to 76 at.% Ni [Mas2]
[1952Tay2]
[1984Och2, 1959Gua]
[1986Hua]
disordered [1998Rav]
ordered [1998Rav]
From 0 to 5 at.%Cr; 5 at.%Cr at 72 at.%Ni,
1300°C [1994Jia, 2001Dup]
From 0 to 7.5 at.%Cr; 7.5 at.%Cr at 70 at.%
Ni, 1200°C [1984Car, 1998Qia, 2001Dup]
From 0 to 10 at.% Cr; 10 at.% Cr at 70 at.%
Ni, 1127°C [1989Hon]
From 0 to 16 at.% Cr; 16 at.% Cr at 65 at.%
Ni, annealed at T = 1025°C [1982Tu]
2.5 at.% Cr [1952Tay2]
5 at.% Cr [1952Tay2]
7 at.% Cr [1959Gua, 1984Och2, 1985Mis]
8 at.% Cr [1952Tay2]
10 at.% Cr [1963Arb]
Ni2Al9 mP22
P21/c
Ni2Al9
a = 868.5(6)
b = 623.2(4)
c = 618.5(4)
= 96.50(5)°
Metastable
[1988Li, 1997Poh]
NixAl1-x0.60 < x < 0.68
tP4
P4/mmm
AuCu
m**
a = 383.0
c = 320.5
a = 379.5
c = 325.6
a = 379.5
c = 325.6
a = 379.5
c = 325.6
a = 379.9 to
380.4
c = 322.6 to
323.3
a = 371.7 to
376.8
c = 335.3 to
339.9
a = 378.00
c = 328.00
a = 418
b = 271
c = 1448
= 90°
= 93.4°
= 90°
Martensite, metastable
[1993Kha]
62.5 at.% Ni [1991Kim]
63.5 at.% Ni [1991Kim]
66.0 at.% Ni [1991Kim]
64 at.% Ni [1997Pot]
65 at.% Ni [1997Pot]
[1998Sim]
[1992Mur]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice
Parameters
[pm]
Comments/References
393
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
Ni2Al hP3
P3m1
CdI2
a*126
P1
a = 407
b = 499
a = 1252
b = 802
c = 1526
= 90°
= 109.7°
= 90°
Metastable
[1993Kha]
[1994Mur]
D1 - Metastable [1988Li]
D4 - Metastable [1988Li]
CrNi2 oP6
Immm
MoPt2 (?)
a = 252.4
b = 757.1
c = 356.8
60 to 76.5 at.% Ni [Mas2]
[P]
*Cr15Ni10Al75 940
- - [1982Tu], adapted from [1984Mer1,
1984Mer2]
* 1
* 1'
* 1, CrxNiyAlz
Monoclinic,
P21 or P21/m
Orthorhombic
polytype,
Pn21a
a = 1340
b = 1255
c = 1255
= 100°
a = 1255
b = 1255
c = 2640
Called “ ”
15.7 to 17.9 at % Cr, 5.6 to 9.7 at.% Ni,
73.3 to 78.5 at.% Al [1996Ros]
Cr17.9Ni5.6Al76.5, quenched from liquid,
[1996Ros]
Cr17.9Ni5.6Al76.5, quenched from liquid,
results in a periodic twinning of 1[1996Ros]
Cr16Ni8Al76, annealed at 840°C (5 h)
[1990Col]; Cr17.0Ni9.7Al73.3, annealed at
800°C (6 d) [1996Ros]
Cr17.0Ni9.7Al73.3 Cr15.7Ni5.8Al78.5, as cast
[1996Ros]
* 2
* 2'
* 2, CrxNiyAlz
Orthorhombic
Immm (?)
Triclinic
superstructure
a = 1255
b = 1255
c = 3075
a = 1255
b = 2510
c = 1775
= = 110.4°
= 90°
Called “ ” [1996Ros]
11.7 to 12.8 at.% Cr, 8.5 to 10.4 at.% Ni,
76.8 to 79 at.% Al
Cr12.5Ni8.5Al79.0, quenched from liquid
[1996Ros]
Cr12.5Ni8.5Al79.0, quenched from liquid or
from liquidus during DTA experiment
[1996Ros]
Cr12.4N9.5Al78.1 and Cr11.7Ni9.3Al79, as cast
Cr12.8Ni10.4Al76.8, in the alloy Cr2Ni23Al75annealed at T = 830°C (7 d) [1996Ros]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice
Parameters
[pm]
Comments/References
394
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
Table 2: Invariant Equilibria
* 3 (h) Rhombohedral
R3 or R3
or
hexagonal system
a = 2870
= 36°
a = 1770
c = 8040
Called “ 1”
Cr18.7Ni1.7Al79.6, quenched from liquid
[1996Ros]
4 (h) Hexagonal,
P63 a = 1770
c = 1240
Called “ 2”
Cr18.7Ni1.7Al79.6, quenched from liquid
[1996Ros]
* 5 (...) Hexagonal
P63 a = 3070
c = 1240
a = 1767.4
c = 1251.6
Called “ 3”
~Cr18.7Ni1.7Al79.6, quenched from liquidus
during DTA experiment [1996Ros]
~Cr18Ni6Al76, called “ ”, single crystal
separated from slowly cooled Cr10Ni10Al80alloy [1997Li, 1997Sat]; in conventionally
solidified alloy Cr15Ni5Al80
* 6,”H-(CrNiAl)” Hexagonal a = 1240
c = 1240
Metastable phase in the rapidly solidified
alloy Cr0.5Ni0.5Al6 together with
icosahedral and decagonal quasicrystals
[1989Zho]
*i Metastable [1989Zho]
*d Metastable [1989Zho], analogous to the
Al-Mn-Ni phase [1988Ten]
Reaction T [°C] Type Phase Composition (at.%)
Al Cr Ni
L + > 1445 e1 - - - -
L + + 1350 U1 L 23.6
23.4
20.4
28.4
4.5
2.9
4.2
2.4
71.9
73.7
75.4
69.2
L + + 1300 ± 20 E1 L 17.4
3.1
30.2
12.9
32.5
79.9
14.5
36.2
50.1
16.9
55.2
50.9
L + + ? U2 L ?
~34.0
~51.0
~41.0
?
~63.0
~9.0
~52.0
?
~3.0
~40.0
~7.0
L + + ? U3 L ?
~40.0
~37.0
61.9
?
~5.0
~3.0
36.3
?
~55.0
~60.0
~1.8
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice
Parameters
[pm]
Comments/References
395
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
Table 3: Integral Excess Gibbs Energies, Enthropies of Formation of Al-Cr-Ni Alloys and Activity
Coefficients of Aluminium at 1045 and 1180 K [1966Mal, 1968Mal]
Table 4: Activity Data of Cr, Ni and Al for a Temperature 1423 K (the Reference States are fcc-Ni, bcc-Cr
and Liquid Aluminium) [1983Ofo, 1985Ofo]
+ + 996 U4 11.7
30.5
21.2
0.2
28.1
9.6
10.8
96.3
60.2
59.8
68.0
3.5
L + (Al) + 634 E2 - - - -
xAl fGex [J·mol-1] fS
ex [J·(K·mol)-1] lg Al
1045 K 1180 K 1045 K 1180 K
0
0.01
0.05
0.07
0.11
0.13
0.15
0.21
–670
–1755
–5560
–7400
–10630
–12120
–13600
–17870
–590
–1630
–5400
–7060
–10250
–11790
–13260
–17530
–0.84
–1.26
–2.51
–2.51
–2.51
–5.53
–4.72
–4.39
–3.75
–3.68
–3.69
–4.65
–3.86
–3.69
–3.37
–3.29
–3.23
Alloy compositions (at.%) Activities ai
Cr Ni Al Cr Ni Al
8.4
19.39
19.9
20.3
20.6
37.3
38.1
38.7
39.7
59.7
63.5
20.51
59.7
58.8
37.2
19.9
39.5
41.9
15.9
20.4
28.1
60.1
20.4
20.9
42.2
42.8
22.4
19.4
44.4
19.9
0.441
0.18
0.644
0.511
0.569
0.629
0.566
0.603
0.3
0.644
0.343
<0.0001
0.067
0.392
0.036
0.021
0.142
0.219
<0.001
0.067
0.0003
0.34
0.003
0.0006
0.014
0.231
0.0004
0.0008
0.29
0.003
Reaction T [°C] Type Phase Composition (at.%)
Al Cr Ni
396
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
Table 5: Partial Pressures of Cr, Ni and Al over the Alloy Ti-1.85Ta-3.9W-2.05Mo-14.9Cr-70.3Ni-4.5Al
(mass%) and Temperature Range of the Measurements T [1992Hil]
*) 1463 K is the solvus temperature
Table 6: Chemical Activities ai and Excess Chemical Potentials iEof the Components in the Alloy
Ti-1.85Ta-3.9W-2.05Mo-14.9Cr-70.3Ni-4.5Al (mass%) at 1500 K [1992Hil]. Reference states like in Table 4.
Gaseous species i T [K] ln(pi /Pa) = A·104/T+B Pi [Pa] at 1500 K
A B
Cr 1393-1463
1463-1562
3.941 ± 0.096
4.264 ± 0.092
22.56 ± 0.71
24.77 ± 0.58 2.6 ·10-2 ± 19 %
Ni 1393-1463*)
1463-1562
4.821 ± 0.215
5.219 ± 0.080
26.0 ± 1.47
28.73 ± 0.43 2.4 · 10-3 ± 21 %
Al 1443-1463
1463-1562
3.810 ± 0.879
5.322 ± 0.621
13.10 ± 6.05
22.88 ± 3.79
3.5 · 10-6 ± 49 %
Alloy component i ai (at 1500 K) iE (at 1500 K) [kJ·mol-1]
Cr 0.46 ± 0.09 12.9 ± 2.6
Ni 0.45 ± 0.11 5.2 ± 2.9
Al (2.6 ± 1.3)·10–6 13.1 ± 8
397
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
Fig
. 1:
A
l-C
r-N
i. A
par
tial
rea
ctio
n s
chem
e
Al-
Ni
Cr-
Ni
Al-
Cr
Al-
Cr-
Ni
lα
+ γ
1345
e 3
l +
γγ´
1372
p1
L +
γ´
β +
γ1350
U1
l +
α
ζ1352
p2
Lα
+ β
> 1
445
e 1(m
ax)
lπ
+ (
Al)
644
e 4
l +
βδ
1138
p3
lβ
+ γ´
1369
e 2
β +
γα
+ γ
´996
U4
L +
αβ
+ ζ
?U2
Lα
+ β
+γ
1300
E1
Lθ
+ (
Al)
+ π
634
E2
l +
θ
(A
l)
661.5
p4
L +
βδ
+ ζ
?U3
β +
γ +
γ´ L
+ β
+ γ
α +
β +
γ
L +
β +
ζα
+ β
+ ζ
β +
δ +
ζ L
+ δ
+ ζ
α +
γ´ +
γα
+ β
+ γ´
L +
(A
l) +
θ
θ +
(A
l) +
π
L+
θ+π
398
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
20
40
60
80
20 40 60 80
20
40
60
80
Cr Ni
Al Data / Grid: at.%
Axes: at.%
p2
ζU3
βU2
e1
α
1600
1500
e3
1350γ
U1
e2
p1
γ'
1600
1500
14501400
E1
1700
1450
1400
1425
145013
501445
Fig. 2: Al-Cr-Ni.
Liquidus surface
projection at
Al < 65 at.%,
temperature in °C
50
50
Cr 10.00Ni 45.00Al 45.00
Cr 0.00Ni 55.00Al 45.00
Cr 0.00Ni 45.00Al 55.00 Data / Grid: at.%
Axes: at.%
1630
1600
1620
1610
15901580
1570
Fig. 3: Al-Cr-Ni.
β-phase liquidus
surface in the vicinity
of Ni0.5Al0.5
composition after
[1993Cot1],
temperature in °C
399
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
20
40
60
80
20 40 60 80
20
40
60
80
Cr Ni
Al Data / Grid: at.%
Axes: at.%
14271377
1327
1427
1527
152716
27
1727
1427
10
20
30
40
60 70 80 90
10
20
30
40
Cr 50.00Ni 50.00Al 0.00
Ni
Cr 0.00Ni 50.00Al 50.00 Data / Grid: at.%
Axes: at.%
γ
γ'β+γ
β
L
γ+γ´
L+γ
L+β
β+γ´
Fig. 4: Al-Cr-Ni.
Calculated partial
liquidus surface
projection
[2001Dup]
(existence of ’
phase is not
considered),
temperature in °C
Fig. 5: Al-Cr-Ni.
Calculated partial
isothermal section at
1300°C [2001Dup]
400
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
10
20
30
40
60 70 80 90
10
20
30
40
Cr 50.00Ni 50.00Al 0.00
Ni
Cr 0.00Ni 50.00Al 50.00 Data / Grid: at.%
Axes: at.%
γ
γ'β+γ
β
γ+γ´
20
40
60
80
20 40 60 80
20
40
60
80
Cr Ni
Al Data / Grid: at.%
Axes: at.%
α
ζ
α+β+γ
γ
γ'
β
β+γ+γ'
α+ζ+β
Fig. 6: Al-Cr-Ni.
Calculated partial
isothermal section at
1200°C [2001Dup]
Fig. 7a: Al-Cr-Ni.
Partial isothermal
section at 1150°C
after [1985Ofo,
1991Rog]
401
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
20
40
60
80
20 40 60 80
20
40
60
80
Cr Ni
Al Data / Grid: at.%
Axes: at.%
α
ζ
α+β+γ
γ
γ'
β
β+γ+γ'
α+ζ+β
10
20
30
40
60 70 80 90
10
20
30
40
Cr 50.00Ni 50.00Al 0.00
Ni
Cr 0.00Ni 50.00Al 50.00 Data / Grid: at.%
Axes: at.%
α+γ
β+γ
γ
γ+γ'
α+β
γ'α+β+γ
β+γ'
β
Fig. 7b: Al-Cr-Ni.
Partial isothermal
section at 1150°C:
solid lines are
calculated by
[2001Dup]; dashed
lines are experimental
data [1985Ofo]
Fig. 8: Al-Cr-Ni.
Calculated partial
isothermal section at
1127°C [2001Dup]
402
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
10
20
30
40
60 70 80 90
10
20
30
40
Cr 50.00Ni 50.00Al 0.00
Ni
Cr 0.00Ni 50.00Al 50.00 Data / Grid: at.%
Axes: at.%
α+γ
γ
γ'β+γ
β
α+β+γ
γ+γ´
20
40
60
80
20 40 60 80
20
40
60
80
Cr Ni
Al Data / Grid: at.%
Axes: at.%
αγ
γ'
β
δ
α+β+ζ
α+β
ζ
α+β+γ
Fig. 9: Al-Cr-Ni.
Calculated partial
isothermal section at
1100°C [2001Dup]
Fig. 10a:Al-Cr-Ni.
Partial isothermal
section at 1025°C
[1982Tu, 1984Mer]
403
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
20
40
60
80
20 40 60 80
20
40
60
80
Cr Ni
Al Data / Grid: at.%
Axes: at.%
αγ
γ'
β
δ
α+β
ζ
10
20
30
40
60 70 80 90
10
20
30
40
Cr 50.00Ni 50.00Al 0.00
Ni
Cr 0.00Ni 50.00Al 50.00 Data / Grid: at.%
Axes: at.%
α+γ γ
γ+γ'
γ'α+β+γ'
β+γ'
β
α+β+γ
α+β
Fig. 10b:Al-Cr-Ni.
Partial isothermal
section at 1025°C
calculated by
[2001Dup]
Fig. 11: Al-Cr-Ni.
Calculated partial
isothermal section at
1000°C [2001Dup]
404
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
10
20
30
40
60 70 80 90
10
20
30
40
Cr 50.00Ni 50.00Al 0.00
Ni
Cr 0.00Ni 50.00Al 50.00 Data / Grid: at.%
Axes: at.%
α+γγ
γ+γ'α+γ+γ'
α+γ'
γ'
α+β+γ'
β
β+γ'
10
20
30
40
60 70 80 90
10
20
30
40
Cr 50.00Ni 50.00Al 0.00
Ni
Cr 0.00Ni 50.00Al 50.00 Data / Grid: at.%
Axes: at.%
α+γ
α+γ+γ'
γ
γ+γ'
α+γ'
γ'
α+β+γ'
β+γ'
β
α+β
Fig. 12: Al-Cr-Ni.
Calculated partial
isothermal section at
900°C [2001Dup]
Fig. 13a:Al-Cr-Ni.
Partial isothermal
section at 850°C after
[1952Tay2, 1991Rog]
405
Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Ni
20
40
60
80
20 40 60 80
20
40
60
80
Cr Ni
Al Data / Grid: at.%
Axes: at.%
α+γ γ
γ+γ'α+γ+γ'α+γ'
γ'α+β+γ'
β
β+γ'
10
20
30
40
60 70 80 90
10
20
30
40
Cr 50.00Ni 50.00Al 0.00
Ni
Cr 0.00Ni 50.00Al 50.00 Data / Grid: at.%
Axes: at.%
α+γ
α+γ+γ'
γ
γ+γ'
α+γ'
γ'
α+β+γ´
β+γ'
β
Fig. 13b:Al-Cr-Ni.
Partial isothermal
section at 850°C:
solid lines are
calculated by
[2001Dup]; dashed
lines are experimental
data [1952Tay2]
Fig. 14: Al-Cr-Ni.
Calculated partial
isothermal section at
800°C [2001Dup]
406
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
10
20
30
40
60 70 80 90
10
20
30
40
Cr 50.00Ni 50.00Al 0.00
Ni
Cr 0.00Ni 50.00Al 50.00 Data / Grid: at.%
Axes: at.%
α+γ
α+γ+γ'
γ
γ+γ'
α+γ' γ'
α+β+γ' β+γ'
β
20
40
60
80
20 40 60 80
20
40
60
80
Cr Ni
Al Data / Grid: at.%
Axes: at.%
α+γ
α+γ+γ'
γ
γ+γ'
α+γ'
γ'α+β+γ'
β+γ'
β
Fig. 15a:Al-Cr-Ni.
Partial isothermal
section at 750°C after
[1952Tay2, 1991Rog]
Fig. 15b:Al-Cr-Ni.
Partial isothermal
section at 750°C:
solid lines are
calculated by
[2001Dup]; dashed
lines are experimental
data [1952Tay2]
407
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
50
50
Cr 10.00Ni 45.00Al 45.00
Cr 0.00Ni 55.00Al 45.00
Cr 0.00Ni 45.00Al 55.00 Data / Grid: at.%
Axes: at.%
α+β β
50
50
Cr 10.00Ni 45.00Al 45.00
Cr 0.00Ni 55.00Al 45.00
Cr 0.00Ni 45.00Al 55.00 Data / Grid: at.%
Axes: at.%
1625
16001575
1550
1525
1500
Fig. 16: Al-Cr-Ni.
Solvus isotherm of β-
phase at about 600°C
in the vicinity of
Ni0.5Al0.5
composition after
[1993Cot1]
Fig. 17: Al-Cr-Ni.
β-Phase solidus
surface in the vicinity
of Ni0.5Al0.5
composition after
[1993Cot1],
temperature in °C
408
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
20 40
1000
1250
1500
1750
Cr Cr 0.00Ni 50.00Al 50.00Al, at.%
Tem
pera
ture
, °C
βα
α+β
L+β
L
L+α
1651°C
1863°C
1445
L+α+β
20 10
750
1000
1250
1500
Cr 25.00Ni 75.00Al 0.00
Cr 0.00Ni 75.00Al 25.00Cr, at.%
Tem
pera
ture
, °C γ
γ´
γ+γ´
L
Fig. 18: Al-Cr-Ni.
Polythermal section
Cr - 50Ni50Al
[2001Dup]
Fig. 19a:Al-Cr-Ni.
Polythermal section
Ni3Cr - Ni3Al, after
[1952Tay2, 1984Mer]
409
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
20 10
750
1000
1250
1500
Cr 25.00Ni 75.00Al 0.00
Cr 0.00Ni 75.00Al 25.00Cr, at.%
Tem
pera
ture
, °C γ
γ´
γ+γ´
L
Fig. 19b:Al-Cr-Ni.
Calculated
polythermal section
Ni3Cr - Ni3Al
[2001Dup]
50
800
900
1000
1100
1200
1300
1400
Cr 53.00Ni 47.00Al 0.00
Cr 40.00Ni 45.00Al 15.00Cr, at.%
Tem
pera
ture
, °C
α+γ´
α+γ+γ´
α+β+γ+γ´
1000α+γ
α+β+γ
L+α+β+γ
LL+α
L+α+γ
Fig. 20: Al-Cr-Ni.
Polythermal section
53Cr47Ni
-40Cr45Ni15Al
[1991Gor]
410
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Ni
800
900
1000
1100
1200
1300
1400
Cr 39.00Ni 43.00Al 18.00
Cr 34.00Ni 33.00Al 33.00Cr, at.%
Tem
pera
ture
, °C
1300
α+βα+
γ+γ́
α+γ́ α+β+γ´
α+β+γ+γ´
α+β+γ
LL+α
L+α+β
L+α+β+γ
1000
Fig. 21: Al-Cr-Ni.
Polythermal section
39Cr43Ni18Al
-34Cr33Ni33Al
[1992Gor]
411
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Si
Aluminium – Chromium – Silicon
Rainer Schmid-Fetzer
Literature Data
Two ternary phases have been seen in a superficial study of the liquidus surface of the Al-corner
[1943Mon]. The shape of the liquidus surface was found to be quite different in a more extensive study
[1951Pra1] in which primary crystals from slowly cooled alloys were extracted from sectioned samples and
studied by chemical and X-ray analysis. In addition, annealing experiments of chill-cast alloys at 550°C for
21 days and some at 559 to 580°C were performed and the microstructures of these and the slowly cooled
samples were studied [1951Pra1]. In a follow-up paper [1951Pra2] results are discussed in view of alloying
theory. The basic shape of the liquidus surface and the resulting equilibria [1951Pra1] agree qualitatively
with a very detailed study of the Al-corner in the range 0 to 5 mass% Cr and 0 to 14 mass% Si by DTA,
metallography on air-cooled and slowly-cooled (DTA) samples and X-ray analysis [1965Ess].
The crystal structures of the two assumed ternary phases, and , were determined by [1953Rob1] and
[1953Rob2] who used the samples of [1951Pra1]. Single crystals of with almost stoichiometric
Cr4Al13Si4 composition were used for a detailed X-ray structure analysis (reported space group Td2 - F3m)
and a powder photograph was used for determination of the cubic unit cell dimension [1953Rob1]. A
probable range of homogeneity of was also noted [1951Pra1]. The second “ternary” phase, , turned out
to be a solid solution of Al in CrSi2 as determined by X-ray analysis of single crystals and powders
[1953Rob2]. This was confirmed in a detailed X-ray investigation of the solid state equilibria of pressed
samples, annealed at 1300°C [1961Bru]. Homogeneous CrSi2-xAlx ( ) samples up to 25 at.% Al were
obtained [1961Bru], while a -crystal, precipitated from an Al-rich liquid, contained only 14.3 at.% Al in
replacement of Si [1953Rob2] and [1951Pra1]. The lattice parameters given for at x = 0.43 (a = 449.6,
c = 637.7 pm) [1953Rob2] essentially agree with the data of [1961Bru] (Table 1). The possibility of
(spinodal) decomposition of the phase at room temperature is mentioned by [1961Bru] since measured
lattice parameters form two groups, separated by about 2 to 5 pm. [1961Bru] also detected extensive solid
solubility of Al in the Cr5Si3 and the Cr3Si phase.
A solubility of Si in Cr2Al ( ) was detected by X-ray investigation in cast samples, annealed at 700°C for
60 to 80 h [1964Ram]. A sample of composition Cr67Al30Si3 was still homogeneous ( ), but Cr67Al27Si6contained and Cr3Si ( ). The alloy Cr67Al17Si16 consisted of mostly and some Cr5Si3 ( ) and Cr5Al8( 2). The solubility of Al in Cr5Si3 ( ) was also mentioned by [1964Ram], but not quantitatively given as
was done at 1300°C by [1961Bru]. The influence of Si on the primary crystallization of CrAl7 was
investigated by thermal analysis and metallography [1960Zol] and the data of [1951Pra1] were essentially
confirmed. Chemical analysis of extracted primary CrAl7 crystals gave a negligible solubility of Si in CrAl7which was confirmed by microhardness and X-ray measurements [1960Zol]. A diffusion couple study
Al-Cr/Al-Si at 550°C for 7 days was briefly described and a reaction product in the contact zone, probably
CrSi, was found in proximity to non-reacted CrAl7 [1935Bos].
The critical evaluation made by [1991Sch] covers literature published until the year 1989. The present
evaluation updates this work and considers all data available.
Binary Systems
The binary systems Cr-Si, Al-Si and Al-Cr are accepted from [2003Leb], [2003Luk], [2003Cor],
respectively. The crystal structures of the Al-Cr phases in the region from 58 to 70 at.% Al have been
reinvestigated by [1989Ell], who did not confirm the existence of Cr3Al as claimed from TEM analyses
[1981Bro]. The Al-Cr phase diagram is essentially based on [1998Mur], and Cr-Si on [2000Du].
412
Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Si
Solid Phases
The solid phases observed in this system are given in Table 1. The solubility limit of Si in is estimated
[1964Ram]. The lattice parameters of , and are from [1961Bru]. They are averaged at the solubility
limits from data of the homogeneous region with special emphasis on the c/a ratio in the case of .
Invariant Equilibria
A partial reaction scheme for Al-rich liquids involving the solidification of phases in the
Al-Si-CrSi2( )-Cr2Al11( ) subsystem was taken from [1965Ess] and adapted to the accepted binaries
(Fig. 1). It also agrees with the data of [1951Pra1]. The peritectic formation of at 710°C (P) was only
measured by [1965Ess] while [1961Bru] speculated about a possible congruent melting point at about
600°C which cannot be accepted.
Liquidus Surface
The liquidus surface of the Al-corner corresponding to Fig. 1 is given in Fig. 2 [1965Ess]. The solid
(Al)-phase participating in the three phase equilibria is marked by a line with one arrow. The liquidus
surface of becomes very narrow at higher Si content. It intersects the liquidus surface of Si between the
points U3 and E, which cannot be seen from Fig. 2, but easily from the reaction scheme in Fig. 1.
Isothermal Sections
The isothermal section at 1300°C in Fig. 3 is based upon [1961Bru]; however, the equilibria with the liquid
phase are estimated from the binaries. An isothermal section at 500°C was constructed in Fig. 4 based upon
the scattered data of [1951Pra1, 1965Ess] and [1964Ram] and the assumption of similar solubilities of ,
, and at 1300°C. The ternary compound plays a dominant role in the Al-Si- -CrAl4 subsystem,
despite its rather low incongruent melting temperature. It probably exhibits a range of homogeneity
[1951Pra1].
Temperature – Composition Sections
Vertical sections at 5 mass% Cr and 4 mass% Si in the Al-corner are also reported by [1965Ess]. A typical
error in the slope of intersecting liquidus lines in that (Al+4%Si)-Cr section was pointed out by [1988Zak].
The effect of Cr additions (0.25, 0.5 and 0.8 mass%) on the microstructure of cast, near-eutectic Al-Si alloys
was examined by [1930Ota].
Thermodynamics
The enthalpy of the liquid phase at 1677°C was shown in a ternary plot of iso-enthalpy lines, calculated by
an extrapolation scheme from the binary systems [2001Sud].
Miscellaneous
The structure and thermal stability of rapidly solidified alloys Cr14Al86-xSix with x up to 24 was studied by
XRD and DTA. Below 24 at.% Si the amorphization was not complete at quenching rates of 1.5 106 K s-1.
Crystallization temperatures are around 320°C [1986Dun].
The crystal structure of the phase , Cr4Al13Si4 was studied in relation to “stuffed pyrochlore” [1983Nym].
413
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Si
References
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(Experimental, 8)
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414
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Si
Studied by Means of Transmission Electron Microscopy and Diffraction. II. Discovery of a
New Phase”, Phys. Status Solidi, A, 67, 233-248 (1981) (Equi. Diagram, Experimental, 2)
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Structure, Experimental, 36)
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Two Phase Alloys”, J. Phase Equilib., 14, 583-587 (1993) (Crys. Structure, Equi. Diagram,
Experimental, 12)
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Solidi A, 141, 31-41 (1994) (Crys. Structure, Experimental, 19)
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System”, J. Alloys Compd, 220, 225-230 (1995) (Crys. Structure, Experimental, *, 17)
[1997Li] Li, X.Z., Sugiyama, K., Hiraga, K., Sato, A., Yamamoto, A., Sui, H.X, Kuo, K.H., “Crystal
Structure of Orthorhombic -Al4Cr”, Z. Kristallogr., 212, 628-633 (1997) (Crys. Structure,
Experimental, 17)
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Phase and its Relation to the Al-Cr-Ni Phase”, J. Alloys Compd., 264, L9-L12 (1998)
(Crys. Structure, Experimental, 11)
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368-375 (1998) (Equi. Diagram, Assessment, Calculation, Review, #, *, 43)
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Update of the Thermodynamic Description of the Entire Cr-Si system”, J. Phase Equilib.,
21, 281-286 (2000) (Calculation, Equi. Diagram, Experimental, Thermodyn., *, #, 35)
[2000Mah] Mahdouk, K., Gachon, J.-C., “Thermodynamic Investigation of the Aluminium-Chromium
System”, J. Phase Equilib., 21(2), 157-166 (2000) (Equi. Diagram, Thermodyn.,
Experimental, *, 26)
[2000Sha1] Shao, G., Tsakiropoulos, P., “On the Phase Formation in Cr-Al and Ti-Al-Cr Alloys”,
Acta Mater., 48, 3671-3685 (2000) (Crys. Structure, Experimental, 39)
[2000Sha2] Shao, G., Nguyen-Manh, D., Pettifor, D.G., Tsakiropoulos, P., “ -Phase Formation in a
Rapidly Solidified Cr-40 at.% Al Alloy”, Philos. Mag. Let., 80(11), 703-710 (2000) (Crys.
Structure, Thermodyn., Experimental, 22)
415
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Si
[2001Oka] Okamoto, H., “Cr-Si (Chromium-Silicon)”, J. Phase Equilib., 22, 593 (2001) (Crys.
Structure, Equi. Diagram, Review, *, #, 4)
[2001Sud] Sudavtsova, V.S., Kudin, V.G., “About Thermodynamic Properties of the Alloys of the
Si-Al-Me(VIb) Ternary Systems” (in Russian), Metally, (1), 29-31 (2001) (Experimental,
Thermodyn., 8)
[2001Tan] Tanaka, K., Nawata, K., Inui, H., Yamaguchi, M., Koiwa, M., “Refinement of
Crystallograpic Parameters in Transition Metal Disilicides with the C11b, C40 and C54
Structures”, Intermetallics, 9, 603-607 (2001) (Experimental, Crys. Structure, 12)
[2003Cor] Cornish, L., Saltykov, P., Cacciamani, G., Velikanova, T., “Al-Cr
(Aluminum-Chromium)”, MSIT Binary Evaluation Program, in MSIT Workplace,
Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH, Stuttgart, to be
published, 2003 (Equi. Diagram, Assessment, Crys. Structure, 51)
[2003Luk] Lukas, H.L., “Al-Si (Aluminum-Silicon)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart, to be published, 2003 (Equi. Diagram, Assessment, Crys. Structure, 29)
[2003Leb] Lebrun, N., “Cr-Si” (Chromium-Silicon)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart, to be published, 2003 (Equi. Diagram, Assessment, Crys. Structure, 31)
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
<660.452
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas]
0 to 0.37 at.% Cr
in equilibria; to 3 at.% Cr after spinning;
to 5 at.% Cr by gun technique
[1998Mur]
(Al) (I) hP2
P63/mmc
Mg
a = 269.3
c = 439.8
at 25°C, 20.5 GPa
[Mas2]
(Cr)
< 1907
cI2
Im3m
W
a = 288.47
a = 288.47 ± 5
a = 288.09 ± 2
at 25°C [Mas2]
0 - 13 at.% Si [2001Oka]
at 4.5 ± 0.2 at.% Si [1993Sut] at 1200°C
at 6.7 ± 0.2 at.% Si [1993Sut] at 1400°C
(Cr) (I) tI2
I4/mmm
'Cr
a = 288.2
c = 288.7
at 25°C, high pressure phase
[Mas2]
(Si)
< 1414
cF8
Fd3m
C (diamond)
a = 543.06 at 25°C [Mas2]
100 at.% Si [2001Oka]
(Si) (III) hP4
P63/mmc
La
a = 380
c = 628
at 25°C, 16 GPa 1 bar [Mas2]
(Si) (II) cI16
Ia3
Si
a = 663.6 at 25°C, 16 GPa [Mas2]
416
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Si
(Si) (I) tI4
I41/amd
Sn
a = 468.6
c = 258.5
at 25°C, 9.5 GPa [Mas2]
, Cr2Al13 (CrAl7)
<790
mC104
C2/m
V7Al45
a = 2519.6
b = 757.4
c = 1094.9
= 128.7
at room temperature 13.5 at.% Cr
[1960Coo, 1975Ohn, 1995Aud]
, Cr2Al11 (CrAl5)
940-790
Orthorhombic
oC584
Cmcm
a = 1240
b = 3460
c = 2020
a = 1252.1
b = 3470.5
c = 2022.3
a = 1260
b = 3460
c = 2000
quenched from 920°C
16.9 to 19.2 at.% Cr;
[1995Aud, 2000Mah]
single crystal
“ CrAl4” [1997Li, 1998Li]
“ CrAl4” [1992Wen]
CrAl4< 1030
hP574
P63/mmc
MnAl4
a = 1998
c = 2467
a = 2010
c = 2480
at room temperature,
20.9 ± 0.3 at.% Cr
[1995Aud, 2000Mah]
[1990Ram]
20.6 to 21.2 at.% Cr [1995Aud];
22.3 ± 0.1 at.% Cr
at Cr-rich border at 1000°C [2000Mah]
Cr4Al9 (h2)
1170-1060
[2003Cor]
Cr4Al9 (h1)
1060
cI52
I43m
Cu4Al9
a = 912.3 ~31 to 45 at.% Cr quenched from liquid
[1941Kna, Mas2];
29 at.% Cr at Al-rich border at 920°C
[1995Aud]
Cr4Al9 (r)
< 700 (?)
hR52
R3m
Cr4Al9
a = 1291
c = 1567.7
32.8 to 35 at.% Cr
[1968Lin, Mas2]
1, Cr5Al8 (h)
1100 (?)
I52
I43m
Cu5Zn8
a = 910.4 to 904.7 30 to 42 at.% Cr, quenched from liquid
[1989Ell]
2, Cr5Al8 (r)
1100 (?)
hR78-1.50
R3m
Cr5Al8
a = 1271.9
c = 793.6
a = 1272.8
c = 794.2
a = 1281.3
c = 795.1
[1977Vis, Mas2]
[1977Bra]
[1989Ell]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
417
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Si
, Cr2Al1-xSix
Cr2Al
< 910
Cr2Al0.91Si0.09
tI6
I4/mmm
MoSi2
a = 300.45
c = 864.77
a = 300.5 to 302.8
c = 864.9 to 875.5
a = 300
c = 864
a = 300
c = 861
0 x 0.12 at 700°C [1964Ram]
at x = 0, binary Al-Cr
~65.5 to ~71.4 at.% Cr
[1937Bra, 1963Koe, 1998Mur]
[1989Ell]
at x = 0 [1964Ram]
x = 0.09 [1964Ram]
X(Al-Cr)
400
Cr5Al3 or
Cr3Al super lattice
~75 to ~80 at.% Cr [1981Bro, 1981Ten];
possibly metastable [1998Mur]
“ 'CrAl4” Pmcm in as-cast alloy 15 at.% Cr, lattice
parameters are the same as for ” 'CrAl4”
metastable [1994Sel]
iCrAl4 icosahedral in spinning alloy of 8 to 13 at.% Cr; by
decomposition of amorphous 20 at.%
Cr, metastable [1998Mur]
dCrAl4 decagonal 19 at.%, 4 at.% Si [1994Sel]
(Al-Cr) - - in quenched Al-Cr alloy of 60-100 at.%
Cr, like metastable Ti [2000Sha1,
2000Sha2]
, Cr3Si1-xAlx
(Cr3Si)
< 1780
Cr3Si0.5Al0.5
cP8
Pm3n
Cr3Si
a = 455.60 ± 0.04
a = 456.27 ± 0.04
a = 456.46 ± 0.02
a = 456.67 ± 0.02
a = 456.65 ± 0.03
a = 454.7
a = 456.3
0 x 0.5 [1961Bru]
at x = 0, binary Cr-Si [V-C2]
20.8 - 25.3 at.% Si [2001Oka]
at 22.5 ± 0.4 at.% Si, at 1200°C,
[1993Sut]
at 21.5 ± 0.4 at.% Si, at 1400°C,
[1993Sut]
at 20.8 ± 0.4 at.% Si, at 1600°C,
[1993Sut]
as solidified [1993Sut]
at x = 0 [1961Bru]
at x = 0.5 [1961Bru]
Cr5Si3 (h)
1666-1488
37.5 - 37.7 at.% Si [2001Oka]
, Cr5(Si1-xAlx)3 (r)
Cr5Si3(r)
< 1488
Cr5Si2.4Al0.6
tI32
I4mcm
W5Si3
a = 917.0
c = 463.6
a = 914
c = 463
a = 915.7
c = 464.2
x = 0 to 0.2 [1961Bru]
at x = 0, binary Cr-Si [V-C2]
37.5 at.% Si [2001Oka]
at x = 0 [1961Bru]
at x = 0.2 [1961Bru]
, CrSi
< 1424
cF8
P213
FeSi
a = 462.2 ± 0.1 [V-C2]
50 at.% Si [2001Oka]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
418
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Si
, Cr(Si1-xAlx)2
CrSi2< 1438 ± 2
CrSi1.25Al0.75
hP9
P6422
CrSi2
a = 442.83 ± 0.01
c = 636.80 ± 0.09
a = 442.0
c = 635.4
a = 453.2
c = 639
x = 0 to 0.75 [1961Bru],
microhardness 8530 MPa [1965Ess]
at x = 0, binary Cr-Si
66.3 - 68 at.% Si [2000Du]
[2001Oka]
[2001Tan]
at x = 0 [1961Bru]
at x = 0.375 [1961Bru]
* , Cr4Al13Si4< 710
cF84
F43m
Cr4Al13Si4
a = 1091.7 ± 0.1 [1953Rob1], probably with a range of
homogeneity [1951Pra1],
microhardness 5710 MPa [1965Ess]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
Fig. 1: Al-Cr-Si. Partial reaction scheme
Al-Cr Cr-SiAl-Cr-Si Al-Si
l (Si) + β1328 e
1
L + η + β
l + η θ790 p
1
l (Al) + (Si)
577 e2
L + η + β τ710 P
η + β + τ
L + η + τ
L + η θ + τ680 U1
η + θ + τ L + θ + τl + θ (Al)
661.5 p2
L + θ (Al) + τ625 U2
(Al) + θ + τL + (Al) + τ
L + β τ + (Si)590 U3
L + τ + (Si) τ + β + (Si)
L (Al) + τ + (Si)575 E
(Al) + τ + (Si)
L + τ + β
419
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Si
10
90
10
Cr 15.00Al 85.00Si 0.00
Al
Cr 0.00Al 85.00Si 15.00 Data / Grid: at.%
Axes: at.%
640
620
600
580E
e2
580
600
680720
880860840820
800780760720
p1 p2
U2
τ
640P
920900880860840
820800
(β)
θ
U3
(Al)
(Si)
U1
η
20
40
60
80
20 40 60 80
20
40
60
80
Cr Al
Si Data / Grid: at.%
Axes: at.%
L
L+β
L+(Si)
β+(Si)β
γ
δ
εε+δ
(Cr)+ε ζ1+ε+(Cr)
ζ1+δ+ε
ζ1+β+δ
δ+βδ+β+γ
L+β+ζ
1
L+ζ1
ζ1
(Cr)
(Si)
Fig. 2: Al-Cr-Si.
Partial liquidus
surface of the
Al-corner with
primary crystallization
fields of (Al), (Si), τ, β, η and θ.The solidus of (Al) is
marked by a single
arrow
Fig. 3: Al-Cr-Si.
Isothermal section at
1300°C
420
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Si
20
40
60
80
20 40 60 80
20
40
60
80
Cr Al
Si Data / Grid: at.%
Axes: at.%
(Al)+(Si)+τ
τ+(Si)+β
β+(Si)β
γ
δ+β+γδ+β
δ
εε+δ
(Cr)+εξ+ε+(Cr)
ζ2+ε+ξ
ξ
ζ2+δ+ε
ζ2+β+δ
ζ2 Cr4Al9(r) CrAl4 θ
τ
(Cr)
(Al)
(Si)Fig. 4: Al-Cr-Si.
Isothermal section at
500°C
421
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Zr
Aluminium – Chromium – Zirconium
Leonid Guzei, updated by Viktor Kuznetsov
Literature Data
In this system experimental information on phase equilibria comprises isothermal sections at several
temperatures: 800°C [1970Mar], 620 and 450°C [1972Kad], 400°C [1967Zar] and series of isopleths in the
Zr-rich region at fixed composition ratios of Al:Cr = 4:1, 1:1, 1:4 and at fixed content of 3 mass% Cr
[1968Gru]. [1970Mar] studied phase equilibria at 800°C on 114 alloys, prepared by melting pure elements
(above 99.9% purity) under argon in an arc furnace. The specimens were annealed at 800°C for 1000 h
followed by quenching in cold water and examined by X-ray and metallographic analysis. The phase
compositions of solid alloys in the Al corner at 400°C were established by [1967Zar] where arc melted
ingots were annealed for 1000 h at 400°C and quenched in toluene. Using optical microscopy and electrical
resistivity measurements, [1972Kad] investigated the solubility of Cr and Zr in Al at 450 and 620°C. Alloys
were homogenized for 48 h at 500°C and after hot-working heated for 280 h at 620°C with an additional
annealing for 100 h at 620°C after cold-working to ensure that equilibrium was reached. The Zr corner of
the system was investigated by [1968Gru]. However, the results are in contradiction to [1970Mar] and are
not shown here. The thermodynamic calculations made by [1977Cha] are not accepted in this evaluation as
they do not take into account the well confirmed existence of the continuous solid solution between ZrCr2
and ZrAl2 at high temperatures. A short review of the system is given by [1990Kum].
[1989Sok1], [1989Sok2] and [1992Dob] observed an increase of solubility of Cr and Zr in Al in metastable
state which is achieved by cooling the alloys rapidly at rates of 106 to 107K s-1. The authors also
investigated the corrosion behavior and the kinetics of decay of these solid solutions. [1991Des] examined
the ZrAl3 based L12 phase in the mechanically alloyed samples. [1993Tai] studied microstructure and some
mechanical properties of samples obtained by powder extrusion. The present evaluation updates the review
made by [1991Guz].
Binary Systems
The ternary description presented here is consistent with the edge boundary systems Al-Cr as published by
[2003Cor] and Cr-Zr by [2002Per]. For the Al-Zr edge the description by [2003Sch] is accepted.
Solid Phases
No stable ternary phases have been found. The phase with L12 structure, found by [1991Des] in
mechanically alloyed two-phase sample with an over-all composition of Al-12.5Cr-25Zr (at.%) is most
probably metastable, although the authors do not exclude that it is stable at low temperatures.
In the as cast state a continuous series of solid solutions exists between ZrCr2 and ZrAl2. At 800°C solid
solutions based on ZrCr2( 2) and ZrAl2 ( 1) are formed with limited concentrations of Al and Cr, up to 7.5
and 54 at.%, respectively [1970Mar]. The known solid phases are listed in Table 1.
Liquidus Surface
No experimental investigations seem to exist. Figure 1 shows a partial liquidus projections extrapolated
thermodynamically from binary data using a Muggianu formalism [1986Sau]. Three transition reactions
(U-type) are shown with liquid phase composition very close to the Al-Cr side.
Isothermal Sections
Figure 2 displays the isothermal section at 800°C after [1970Mar] with minor corrections to meet the
boundary system, in particular to account for the homogeneity range of the binary intermetallic compound
ZrCr2. Furthermore, [1970Mar] plotted an , CrAl3, phase which, by more recent assessment [1986Sau],
422
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Zr
has been proved to exist only at temperatures higher than 1060°C, as the high-temperature modification of
the compound Al9Cr4.
Figure 3 shows the Al corner at 620°C [1972Kad]. Cr and Zr solubility in (Al) decrease with decreasing
temperature from 0.187 at.% Cr and 0.049 at.% Zr at 620°C to 0.057 at.% Cr and 0.016 at.% Zr at 450°C.
The agreement between the experimental phase boundaries by [1972Kad] and the calculated ones by
[1986Sau] in the Al-rich corner of the 620°C and 450°C isothermal sections is very good and the
calculations proved to be insensitive to any ternary interaction parameter in the fcc-(Al) phase [1986Sau].
Temperature – Composition Sections
Two polythermal sections, (1) at constant mass ratio Zr:Cr = 5:7 and (2) at ZrAl3 - CrAl7 have been
constructed by [1989Sok1]. They are in general agreement with the solid state equilibria presented in Figs.
2 and 3. However, both sections do not reflect the present knowledge on the edge binary systems, in
particular with respect to the temperature at which the CrAl7 phase forms; also temperature scale is not
shown by [1989Sok1] for the Zr:Cr = 5:7 section. Therefore, these sections are not presented in this
evaluation.
Notes on Materials Properties and Applications
[1989Sok1, 1989Sok2] studied the corrosion behavior of supersaturated Al based solid solutions.
[1991Des] investigated mechanical properties of the probably metastable L12 phase which turned out to be
slightly more ductile than the equilibrium ZrAl3 phase. [1993Tai] reports the microstructure, mechanical
properties and thermal stability of the Al-1.6Cr-1.6Zr (at.%) alloy prepared by hot-extrusion of rapidly
solidified powder.
Magnetic susceptibilities have been recorded by [1984Sup] for the MgZr2 type solution ZrCr2-xAlxrevealing Pauli-paramagnetism for all compositions x.
Miscellaneous
Figure 4 shows the metastable solubility of Cr and Zr in (Al) after solidification at different cooling rates,
compared with equilibrium data by [1972Kad] at 620°C (curve 1). Curves 2 and 3 by [1977Ela] relate to
material cooled at 10 K s-1 and 100 K s-1 rates, respectively. Additions of Zr to an Al-Cr alloy increased the
maximum solid solubility of Cr from 5 to 8 mass% in alloys produced by the atomization splat quenching
method [1987Kim]. Rapidly solidified alloys (106-107 K s-1) showed a maximum solid solubility of 6.5
at.% Cr and 0.55 at.% Zr, respectively [1989Sok1]. Figure 5 presents the limits of metastable solubility at
cooling rates of 103 to 106 K s-1 [1992Dob].
References
[1937Bra] Bradley, A.J., Lu, S.S., ”An X-Ray Study of the Chromium-Aluminium Equilibrium
Diagram”, J. Inst. Met., 60, 319-337 (1937) (Experimental, Crys. Structure, Equi. Diagram,
8)
[1941Kna] Knappwost, A., Nowotny, H., ”Magnetic Investigations in the Ternary Al-Cr-Cu System”,
Z. Metallkd., 33, 153-157 (1941)
[1960Coo] Cooper, M.J., ”The Structure of the Intermetallic Phase (Cr-Al)”, Acta Crystallogr., 13,
257-263 (1960) (Crys. Structure, Experimental, 10)
[1963Koe] Köster, W., Watchel, E., Grube, K., “Structure and Magnetic Properties of
Aluminium-Chromium Alloys” (in German), Z. Metallkd., 54, 393-401 (1963) (Equi.
Diagram, Crys. Structure, Thermodyn., Magn. Prop., Experimental, 33)
[1964Ram] Raman, A., Schubert, K., “The Occurrence of Zr2Cu and Cr2Al Type Intermetallic
Compounds” (in German), Z. Metallkd., 55, 798-804 (1964) (Crys. Structure, Experimental,
23)
[1967Zar] Zarechnyuk, O.S., Malinkovich, A.N., Lalayan, E.A., Markiv, V.Ya., “X-Ray Investigation
of Aluminium-Rich Alloys of the Ternary Al-Cu-Cr, Al-Cu-Zr, Al-Cr-Zr Systems and the
423
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Zr
Quaternary Al-Cu-Cr-Zr System”, Russ. Metall., (6), 105-107 (1967), translated from Izv.
Akad. Nauk SSSR, Met., (6), 201-204 (1967) (Equi. Diagram, Experimental, 2)
[1968Gru] Gruzdeva, N.M., Tregubov, I.A., “The Zr Corner of the Zr-Al-Cr Phase Diagram and the
Alloy Properties” (in Russian), Fiz-Khimiya Splavov Tsirkoniya, Publ. Nauka, Moscow,
23-30 (1968) (Equi. Diagram, Experimental, Phys. Prop., 2)
[1968Lin] Lindahl, T., Pilotti, A., Westman, S., ”Rhombohedrally Distorted Gamma Phases in the
Copper-Mercury and Chromium-Aluminium Systems”, Acta. Chem. Scand., 22, 748-752
(1968) (Crys. Structure, Experimental, 9)
[1970Mar] Markiv, V.Ya., Burnashova, V.V., “Study on the Zr-Cr-Al and Zr-Cu-Al Systems” (in
Russian), Poroshk. Metall., 12, 53-58 (1970) (Equi. Diagram, Experimental, #, *, 14)
[1972Kad] Kadaner. E.S., Kuz'mina, V.I., “Phase Equilibria in the Al-Cr-Zr System” (in Russian) in
“Metallovedenie Tsvetnych Metallov i Splavov”, Drits, M.E. (Ed.), Nauka, Moscow, 41-44
(1972) (Equi. Diagram, Experimental, #, 4)
[1973Pet] Pet'kov, V.V., Prima, S.B., Tretjachenko, L.A., Kocherszinskij, Yu.A., “New Data on Laves
Phases in the Zr-Cr System” (in Russian), Metallofizika, 46, 80-84 (1973) (Crys. Structure,
Equi. Diagram, Experimental, 8)
[1975Ohn] Ohnishi, T., Nakatani, Y., Okabayashi, K., Bull. Univ. Osaka Prefect., 24, 183-191 (1975)
(Equi. Diagram, Crys. Structure, Experimental) as quoted by [1998Mur]
[1977Bra] Brandon, J.K., Pearson, W.B., Riley, P.W., Chieh, C., Stokhuyzen, R., “ -Brasses with R
Cells”, Acta Crystallogr., 3B, 1088-1095 (1977) (Crys. Structure, Experimental, 16)
[1977Cha] Chart, T.G., “The Calculation of Multicomponent Alloy Phase Diagrams at the National
Physical Laboratory”, NBS Special Publ., 2, No. 496, 1186-1199 (1977, Publ. 1978) (Equi.
Diagram, Thermodyn., Theory, 26)
[1977Ela] Elagin, V.I., Fedorov, V.M., “The Al-Cr-Zr System: A Basis for Precipitation Hardened
Aluminium Alloys”, Russ. Metall., (5), 193-198 (1977), translated from Izv. Akad.Nauk
SSSR, Met., (5), 239-245 (1977), (Experimental, 14)
[1977Vis] Visser J.W., ”On the Structure of Chromium-Aluminum (Cr5Al8) 26r A Correction”, Acta
Crystallogr., Sect. B, 33B(1), 316 (1977)
[1981Bro] den Broeder, F.J.A., Tendeloo, G. van, Amelinckx, S., Hornstra, J., de Ridder, R., van
Landgut, J., van Daal, H.J., “Microstructure of Cr100-xAlx Alloys (10 at.% x 33 at.%)
Studied by Means of Electron Microscopy and Diffraction, II. Discovery of a New Phase”,
Phys. Status Solidi, 67, 233-248 (1981) (Equi. Diagram, Crys. Structure, Experimental, 9)
[1981Ten] van Tendeloo, G., den Broeder, F.J.A., Amelinckx, S., de Ridder, R., van Landuyt, J., van
Daal, H.J., “Microstructure of Cr100-xAlx Alloys (10 at.% < x < 33 at.%) Studied by Means
of Transmission Electron Microscopy and Diffraction. I. Microstructure of the -Phase”,
Phys. Stat. Sol. A, 67, 217-232 (1981) (Equi. Diagram, Experimental, 10)
[1984Sup] Suprunenko, P.A., Markiv, V.Ya., Tsvetkova, T.M., “Magnetic and X-Ray Diffraction
Study of Laves Phases in the Ternary Systems (Ti, Zr, Hf)-Cr-Al”, Russ. Metall., (1),
207-210 (1984), translated from Izv. Akad. Nauk SSSR, Met., (1), 207-210 (1984) (Crys.
Structure, Experimental, 11)
[1986Ari] Arias, D., Abriata, J.P., ”The Cr-Zr (Chromium-Zirconium) System”, Bull. Alloy Phase
Diagram, 7(3), 237-244, (1986) (Equi. Diagram, Review, #, 32)
[1986Sau] Saunders, N., Rivlin, V.G., “Thermodynamic Characterization of Al-Cr, Al-Zr and
Al-Cr-Zr Systems”, Mater. Sci. Technol., 2, 521-527 (1986) (Equi. Diagram, Review, 48)
[1987Kim] Kim, J.R., Kim, T.H., “The Effect of Additional Element Zr on Solid Solubility of Cr and
Mechanical Properties of Rapidly Solidified Al-Cr Alloys” (in Korean), J. Korean Inst.
Met., 25, 506-513 (1987) (Crys. Structure, Experimental, Mechan. Prop., 14)
[1987Vec] Vecchio, K.S., Williams, D., ”Convergent Beam Electron Diffraction Study of Al3Zr in
Al-Zr and Al-Li-Zr Alloys”, Acta Metall., 35(12), 2959-2970 (1987) (Experimental)
[1989Ell] Ellner, M., Braun, J., Predel, B., “X-Ray Study on Cr-Al Phases of the W-Family” (in
German), Z. Metallkd., 80, 374-383 (1989) (Equi. Diagram, Crys. Structure, Experimental,
38)
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Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Zr
[1989Sok1] Sokolovskaya, E.M., Badalova, L.M., Podd’yakova, E.I., Kazakova, E.F., Loboda, T.P.,
Gribanov, A.V., “Phase Composition and Properties of Rapidly Cooled Aluminium Alloys
with Zirconium and Chromium”, Russ. Metall., (1), 168-172 (1989), translated from Izv.
Akad. Nauk SSSR, Met., (1), 164-168 (1989) (Equi. Diagram, Electrochem. Prop.,
Experimental, 6)
[1989Sok2] Sokolovskaya, E.M., Badalova, L.M., Podd’yakova, E.I., Kazakova, E.F., Loboda, T.P.,
“Formation, Stability and Properties of Metastable Phases in the Al-Zr-Cr System” (in
Russian), Dokl. Akad. Nauk SSSR, 306, 396-398 (1989) (Electrochem. Prop., Kinetics,
Experimental, 3)
[1990Kum] Kumar, K.S., “Ternary Intermetallics in Aluminium-Refractory Metal-X Systems (X = V,
Cr, Mn, Fe, Co, Ni, Cu, Zn)”, Int. Mater. Rev., 35, 293-327 (1990) (Crys. Structure, Equi.
Diagram, Review, 158)
[1990Ram] Ramon, J.J., Shechtman, D., Dirnfeld, S.F., ”Synthesis of Al-Cr Intermetallic Crystals”, Scr.
Metall. Mater, 24, 1087 (1990) (Experimental, Crys. Structure)
[1991Des] Desch, P.B., Schwarz, R.B., Nash, P., “Formation of Metastable L12 Phases in Al3Zr and
Al-12.5% X-25% Zr (X = Li, Cr, Fe, Ni, Cu)”, J. Less-Common Met., 168, 69-80 (1991)
(Crys. Structure, Experimental, 25)
[1991Guz] Guzei L., ”Al-Cr-Zr (Aluminium - Chromium - Zirconium ),” MSIT Ternary Evaluation
Program, in MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International
Services GmbH, Stuttgart; Document ID: 10.16133.1.20, (1991) (Crys. Structure, Equi.
Diagram, Review, 15)
[1992Dob] Dobatkin, V.I., Beloserkovets, V.V., Golder, Yu.G., “The Metastable Equilibria During
Crystallization of Alloys of Ternary Systems” (in Russian), Metally, (5), 169-177 (1992)
(Equi. Diagram, Kinetics, Experimental, Review, *, #, 8)
[1992Ma] Ma, Y., Romming, C., Lebech, B., Gjonnes, J., Tafto, J., ”Structure Refinement of Al3Zr
Using Single Crystal X-Ray Diffraction, Powder Neutron Diffraction and CBED”, Acta
Crystallogr., B48, 11-16 (1992) (Experimental, Crys. Structure, 11)
[1992Wen] Wen, K.Y., Chen, Y.L., Kuo, K.H., “Crystallographic Relationships of the Al4Cr
Crystalline and Quasicrystalline Phases”, Met. Trans. A, 23A, 2437-2445 (1992) (Crys.
Structure, Experimental, 36)
[1993Tai] Tai, H., Furushiro, N., Mae, T., Fujitani, W., Hori, S., “Microstructures and Hardness of
Al-1.6%Cr-1.6%Zr Alloy Prepared by Hot-Extrusion of Rapidly Solidified Powder”, Met.
Abstr. Light Metals and Alloys, 26, 62 (1993) (Phys. Prop., 0)
[1994Sel] Selke, H., Vogg, U., Ryder, P.L., “New Quasiperiodic Phase in Al85Cr15”, Phys. Status
Solidi A, 141, 31-41 (1994) (Crys. Structure, Experimental, 19)
[1995Aud] Audier, M., Durand-Charre, M., Laclau, E., Klein, H., “Phase Equilibria in the Al–Cr
System”, J. Alloys Compd., 220, 225-230 (1995) (Crys. Structure, Experimental, *, 17)
[1995Sou] Soubeyroux, J.L., Bououdina, M., Fruchart, D., Pontonnier, L., ”Phase Stability and
Neutron Diffraction Studies of Laves Phases Zr(Cr1-xMx)2 with M = Mn, Fe, Co, Ni, Cu and
0 < x < 0.2 and their Hydrides”, J. Alloys Compd., 219, 48-54, (1995) (Crys. Structure,
Experimental, 20)
[1997Kur] Kuranaka, S., Gamo, T., Morita, Y., “Powder X-ray Diffraction under a High Pressure
Hydrogen Atmosphere for Zr-Cr Based Laves Phase Alloys”, J. Alloys Compd., 253-254,
268-271, (1997) (Crys. Structure, Experimental, 13)
[1997Li] Li, X.Z., Sugiyama, K., Hiraga, K., Sato, A., Yamamoto, A., Sui, H.X, Kuo, K.H., “Crystal
Structure of Orthorhombic -Al4Cr”, Z. Kristallogr., 212, 628-633 (1997) (Crys. Structure,
Experimental, 17)
[1998Li] Li, X.Z., Sui, H.X, Kuo, K.H., Sugiyama, K., Hiraga, K., “On the Structure of the Al4Cr
Phase and its Relation to the Al–Cr–Ni Phase”, J. Alloys Compd., 364, L9-L12 (1998)
(Crys. Structure, Experimental, 11)
[1998Mur] Murray, J.L., “The Al–Cr (Aluminium–Chromium) System”, J. Phase Equilib., 19(4),
368-375 (1998) (Equi. Diagram, Assessment, Calculation, Review, #, *, 43)
425
Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Zr
[2000Mah] Mahdouk, K., Gachon, J.-C., “Thermodynamic Investigation of the Aluminium–Chromium
System”, J. Phase Equilib., 21(2), 157-166 (2000) (Equi. Diagram, Thermodyn.,
Experimental, *, 26)
[2000Sha1] Shao, G., Tsakiropoulos, P., “On the Phase Formation in Cr-Al and Ti-Al-Cr Alloys",
Acta Mater., 48, 3671-3685 (2000) (Crys. Structure, Experimental, 39)
[2000Sha2] Shao, G., Nguyen-Manh, D., Pettifor, D.G., Tsakiropoulos, P., “ -Phase Formation in a
Rapidly Solidified Cr-40 at.% Al Alloy”, Philos. Mag. Let., 80(11), 703-710 (2000) (Crys.
Structure, Thermodyn., Experimental, 22)
[2002Per] Perrot, P., “Cr-Zr (Chromium-Zirconium)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; Document ID: 20.15393.1.20, (2002) (Crys. Structure, Equi. Diagram,
Assessment, 14)
[2003Cor] Cornish, L., Saltykov, P., Cacciamani, G., Velikanova, T., “Al-Cr
(Aluminum-Chromium)”, MSIT Binary Evaluation Program, in MSIT Workplace,
Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH, Stuttgart, to be
published, 2003 (Crys. Structure, Equi. Diagram, Review, 51)
[2003Sch] Schuster, J.C., “Al-Zr (Aluminium-Zirconium)”, MSIT Binary Evaluation Program, in
MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart; submitted for publication (2003) (Crys. Structure, Equi. Diagram,
Assessment, 151)
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
< 660.452
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
0.37 at.% Cr at 661.5°C
0.07 at.% Zr at 660.8°C
(Cr)
< 1863
cI2
Im3m
W
a = 288.48 at 25°C [Mas2]
46 at.% Al at 1350°C
0.6 at.% Zr at 1592°C
( Zr)(h)
1855-863
cI2
Im3m
W
a = 356.90 at 25°C [V-C2]
8 at.% Cr at 1332°C
26 at.% Al at 1350°C
( Zr)(r)
< 863
hP2
P63/mmc
Mg
a = 323.2
c = 514.7
at 915°C [V-C2]
8.3 at.% Al at 910°C
0.5 at.% Cr at 836°C
Cr2Al13 (CrAl7)
< 790
mC104
C2/m
V7Al45
a = 2519.6
b = 757.4
c = 1094.9
= 128.7
at room temperature 13.5 at.% Cr
[1960Coo, 1975Ohn, 1995And]
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Landolt-BörnsteinNew Series IV/11A1
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Al–Cr–Zr
Cr2Al11 (CrAl5)
940-790
Orthorhombic
oC584
Cmcm
a = 1240
b = 3460
c = 2020
a = 1252.1
b = 3470.5
c = 2022.3
a = 1260
b = 3460
c = 2000
quenched from 920°C
16.9 to 19.2 at.% Cr;
[1995Aud, 2000Mah]
single crystal
“ CrAl4”
[1997Li, 1998Li]
“ CrAl4” [1992Wen]
CrAl4< 1030
hP574
P63/mmc
MnAl4
a = 1998
c = 2467
a = 2010
c = 2480
at room temperature, 20.9 ± 0.3 at.% Cr
[1995Aud, 2000Mah]; [1990Ram]
20.6 to 21.2 at.% Cr [1995Aud];
22.3 ± 0.1 at.% Cr
at Cr-rich border at 1000°C [2000Mah]
1, Cr4Al9 (h2)
1170-1060
[2003Cor]
2, Cr4Al9 (h1)
<~ 1060
cI52
I43m
Cu4Al9
a = 912.3 ~31 to 45 at.% Cr quenched from liquid
[1941Kna, Mas2];
29 at.% Cr at Al-rich border at 920°C
[1995Aud]
3, Cr4Al9 (r)
< 700 (?)
hR52
R3m
Cr4Al9
a = 1291
c = 1567.7
32.8 to 35 at.% Cr
[1968Lin, Mas2]
1, Cr5Al8 (h)
1100 (?)
I52
I43m
Cu5Zn8
a = 910.4 to 904.7 30 to 42 at.% Cr, quenched from liquid
[1989Ell]
2, Cr5Al8 (r)
1100 (?)
hR78-1.50
R3m
Cr5Al8
a = 1271.9
c = 793.6
a = 1272.8
c = 794.2
a = 1281.3
c = 795.1
[1977Vis, Mas2]
[1977Bra]
[1989Ell]
Cr2Al
< 910
tI6
I4/mmm
MoSi2
a = 300.45
c = 864.77
a = 300.5 to 302.8
c = 864.9 to 875.5
~65.5 to ~71.4 at.% Cr
[1937Bra, 1963Koe, 1998Mur]
[1989Ell]
X(Al-Cr)
400
Cr5Al3 or
Cr3Al super lattice
~75 to ~80 at.% Cr [1981Bro, 1981Ten];
possibly metastable [1998Mur]
“ ’CrAl4” Pmcm in as-cast alloy 15 at.% Cr, lattice
parameters are the same as for ” ’CrAl4”
metastable [1994Sel]
iCrAl4 icosahedral in spinning alloy of 8 to 13 at.% Cr; by
decomposition of amorphous 20 at.%
Cr, metastable [1998Mur]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
427
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Al–Cr–Zr
dCrAl4 decagonal 19 at.%, 4 at.% Si [1994Sel]
(Al-Cr) in quenched Al-Cr alloys of 60-100 at.%
Cr, like metastable Ti [2000Sha1,
2000Sha2]
ZrAl3 (m) cP4
Pm3m
Cu3Au
a = 408 [1987Vec] at 16.5 at.% Zr
ZrAl3< 1580
tI16
I4/mmm
ZrAl3
a = 399.93 ± 0.05
c = 1728.3 ± 0.02
[1992Mur, 2003Sch]
1, Zr(CrxAl1-x)2
ZrAl2<1660
hP12
P63/mmc
MgZn2
a = 519
c = 848
a = 528.24
c = 874.82
0 x 0.8 [1970Mar]
at 33 at.% Cr; 80 h at 700°C [1964Ram]
[V-C]
Zr2Al3<1590
oF40
Fdd2
Zr2Al3
a = 960.1 ± 0.2
b = 1390.6 ± 0.2
c = 557.4 ± 0.2
[2003Sch]
ZrAl
< 1275±25
oC8
Cmcm
CrB
a = 335.9 ± 0.1
b = 1088.7 ± 0.3
c = 427.4 ± 0.1
[2003Sch]
Zr5Al4(h)
1550-~1000
hP18
P63/mcm
Ti5Ga4
a = 844.8
c = 580.5
[2003Sch]
Zr4Al3<~1030
hP7
P6/mmm
Zr4Al3
a = 543.3 ± 0.2
c = 539.0 ± 0.2
[12003Sch]
Zr3Al2<1480
tP20
P42/mnm
Zr4Al3
a = 763.0(1)
c = 699.8(1)
[2003Sch]
Zr5Al3(h)
<1400
tI32
I4/mcm
W5Si3
a = 1104.4
c = 539.1
[2003Sch]
Zr5Al3(r?) hP16
P63/mcm
Mn5Si3
a = 817.4
c = 569.8
[2003Sch]
Zr2Al
<1350
hP6
P63/mmc
Ni2In
a = 489.39 ± 0.05
c = 592.83 ± 0.05
[2003Sch]
Zr3Al
<1019
cP4
Pm3m
Cu3Au
a = 437.2 ± 0.3 [2003Sch]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
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Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cr–Zr
Zr(Al,Cr)3
metastable
cP4
Pm3m
AuCu3
a = 438.0
a = 465.2
in Al-Zr binary (metastable) [V-C2]
[1991Des], two-phase sample, no
composition of phase is given
ZrCr2
1677-1625
hP12
P63/mmc
MgZn2
a = 510.2
c = 828.9
a = 511.1
c = 834.1
C14 structure [1995Sou]
at 20°C [1997Kur]
at 300°C [1997Kur]
ZrCr2
1625-1546
hP24
P63/mmc
MgNi2
a = 510.0
c = 1661
C36 structure [1986Ari]
2, Zr(Cr1-xAlx)2
ZrCr2
< 1560
cF24
Fd3m
MgCu2 a = 721.8
a = 719.4
a = 720.4
0 x 0.1, 64 to 69 at.% Cr
[1970Mar], [1973Pet]
at 64 at.% Cr [1973Pet]
at 69 at.% Cr
C15 structure [1995Sau]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
Zr 10.00Cr 0.00Al 90.00
Zr 0.00Cr 10.00Al 90.00
Al Data / Grid: at.%
Axes: at.%
1000
1100
1200
1250
Cr2Al11
CrAl4
p, 790
900
p, 940
950
CrAl7
p, 664 p, 661.5(Al)
ZrAl3
Fig. 1: Al-Cr-Zr.
Partial liquidus
projection
extrapolated from
binary data
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Al–Cr–Zr
20
40
60
80
20 40 60 80
20
40
60
80
Zr Cr
Al Data / Grid: at.%
Axes: at.%
L+ZrAl3+Cr2Al11
L
ZrAl3
Zr2Al3
Zr4Al3
Zr3Al2
Zr3Al
(αZr)
λ1
λ2
ζ2+λ1+Cr2Al
Cr2Al11
CrAl4
ε2
ζ2
Cr2Al
(αZr)+λ2+λ1
(αZr)+λ1+Zr3Al(Cr)
Zr2Al
ZrAl
ZrAl2
Fig. 2: Al-Cr-Zr.
Isothermal section at
800°C
Zr 1.00Cr 0.00Al 99.00
Zr 0.00Cr 1.00Al 99.00
Al Data / Grid: at.%
Axes: at.%
(Al)
(Al)+ZrAl3
(Al)+ZrAl3+CrAl7
(Al)+CrAl7
Fig. 3: Al-Cr-Zr.
Isothermal section of
the Al-corner at
620°C
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Al–Cr–Zr
Zr 2.00Cr 0.00Al 98.00
Zr 0.00Cr 2.00Al 98.00
Al Data / Grid: at.%
Axes: at.%
1
2
3
1: equilibrium solubility at 640°C 1972Kad;2: metastable solubility at 20°C
3: metastable solubility at 20°C (cooling rate 10 K/s);
(cooling rate 100 K/s)
Fig. 4: Al-Cr-Zr.
Anomalous
solubility curves of
Cr and Zr in (Al)
10
10
90
Zr 14.00Cr 0.00Al 86.00
Zr 0.00Cr 14.00Al 86.00
Al Data / Grid: mass%
Axes: mass%
1
2
3
1: at cooling rate 1000 K/s;2: at cooling 106 K/s;3: at cooling rate 108 K/s.
Fig. 5: Al-Cr-Zr.
Limits of Cr and Zr
solubility in (Al) for
metastable alloys
431
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cu–Dy
Aluminium – Copper – Dysprosium
Paola Riani, Laura Arrighi, Pierre Perrot
Literature Data
After the assessment previously carried out by [1991Ran] all the data have been reviewed by Riani et al.
[2003Ria], considering also the more recent literature data. [1989Kuz] studied the isothermal section at
500°C of the Al-Cu-Dy system by X-ray diffraction on 109 samples prepared from 99.5% Dy and purer Cu
and Al. The samples were then annealed at 500°C for 600 h and the solubility of the third component was
determined in some of the binary compounds. All other works on this system are devoted to ternary
compounds. The following compounds were found: DyCuAl [1968Dwi, 1973Oes], DyCuAl3 [1988Kuz],
DyCu4Al [1978Tak], DyCu4Al8 [1979Fel], DyCu6Al6 [1980Fel, 1981Fel], Dy2Cu7Al10 [1982Pre],
DyCu0.9Al2.1 [1992Kuz] and Dy3Cu2.6Al8.4 [2000Ste]. The alloys were prepared from 99.5 to 99.9% pure
Dy [1968Dwi, 1973Oes, 1978Tak, 1979Fel, 1980Fel, 1981Fel, 1982Pre] and Cu and Al of higher purity,
either by arc melting or in an induction furnace under inert protective atmosphere.
A high pressure modification of the compound DyCuAl and its structure are reported by [1987Tsv1] and
[1987Tsv2]. Samples made from 99.9% pure metals were either rapidly quenched from a melt at a constant
pressure of 7.7 GPa or annealed at 1450 to 1500°C. After vacuum annealing at 700°C for 6 h, this high
pressure modification was reported to decompose into the initial phases obtained at atmospheric pressure.
Binary Systems
In this ternary evaluation the edge binary system Al-Dy is accepted as reported by [2003Gry] and the Al-
Cu system as reported by [2003Gro] with changes being applied in the crystal structure data. The Cu-Dy is
used as published by [1988Sub, 1994Sub].
Solid Phases
[1989Kuz] confirmed the existence of the earlier reported ternary compounds 1,DyCu4Al8,
2,Dy2Cu7Al10, 3,Dy(Cu1-xAlx)5, 5,DyCuAl3 and 6,DyCuAl, and found two new ternary compounds,
4,Dy5Cu6Al9 and 7,Dy4Cu4Al11. The DyCu6Al6 compound reported by [1980Fel] identified to be the
1,DyCu4Al8 compound. Both, 1,DyCu4Al8 and DyCu6Al6 have the same structure (ThMn12 type) and
possibly belong to the same solid solution range, although the investigators did not mention this point. Two
of the ternary phases, 2 and 3, are reported to have a homogeneity range with constant Dy content:
2,Dy2(Cu1-xAlx)17 and 3,Dy(Cu1-xAlx)5. For 3 [1989Kuz] gives a homogeneity range with a maximum
Cu content at DyCu3.8Al1.2 which does not cover the composition DyCu4Al, for which [1978Tak] reported
the same crystal structure as was allocated to 3 by [1989Kuz]. [2000Ste] gave a slightly different
composition and structure for the 5,DyCuAl3 compound (BaAl4-type) previously proposed by [1988Kuz],
i.e. 5,Dy3Cu2.6Al8.4 and a La3Al11 type structure. The structure of the 4,Dy5Cu6Al9 compound is not
given. For the 4,DyCu0.9Al2.1 phase [1992Kuz] observed the hR36 structure of the PuNi3-type or NbBe3
type and assumed that it is identical with the Dy5Cu6Al9 compound identified in the earlier work
[1989Kuz]. It is isostructural with HoCuAl2 with some Al atoms substituting Cu. The 8,Dy6Cu16Al7 phase
has been identified as pertaining to the cubic Th6Mn23-type structure by [1990Ste]. Crystallographic data
for the ternary and binary phases are given in Table 1.
Isothermal Sections
The isothermal section at 500°C, studied by [1989Kuz], is used as base for Fig. 1. The Al rich part of the
[1989Kuz] diagram was later supported by the observations of [1997Sok] at 400°C, by the tie lines of Al-
1, DyAl3- 1 and DyAl3- 5. However, we brought some modifications to the original diagram to make it
consistent with the accepted binary diagrams: on the Al-Cu edge, the phase, unstable at 500°C is omitted;
on the Al-Dy edge [1989Kuz] indicated a compound Dy3Al, which is not a stable phase of the binary system
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Al–Cu–Dy
but more probably stabilized by impurities, therefore it is omitted in Fig. 1. On the other hand, the Dy2Cu9
compound, whose stability is doubtful, was not observed by [1989Kuz]. The copper rich part of the diagram
has also been slightly modified for the sake of thermodynamic consistency. Seven ternary phases have been
identified and included. Three of them 4,Dy5Cu6Al9, 5,DyCuAl3 and 7,Dy4Cu4Al11 have been described
as point compounds. For the remaining phases, the following solubility ranges are accepted: 1,Dy(CuxAl1-
x)12 (0.33 < x < 0.37), 2,Dy2(CuxAl1-x)17 (0.394 x 0.588), 3,Dy(CuxAl1-x)5 (0.46 x 0.8) and
6,DyCu2-xAlx (0.95 x 1). The point phase given by [1989Kuz] as corresponding to the composition
5,DyCuAl3 was subsequently [2000Ste] described as 5,Dy3Cu2.6Al8.4 with the La3Al11 type structure.
The composition of the 5,DyCuAl3 phase is rather close to that of the 7,Dy4Cu4Al11 (or 7,DyCuAl2.75)
and the crystal structure of 7, is unknown. However, we did not consider these two phases as belonging to
the same solid solution because the general trend in the Al-Cu-Dy system is the mutual exchange of Al and
Cu atoms on a same crystallographic site. The 8,Dy6Cu16Al7 phase described by [1990Ste] was not
observed when [1989Kuz] examined the equilibria at 500°C. Its position is shown in the Fig. 1, but no
reliable equilibrium lines can be drawn between 8 and the surrounding phases.
Notes on Materials Properties and Applications
Much of the research effort done in the recent years on Rare Earth-Al-Cu compounds has been focused on
their magnetic behavior. Basic information is mainly obtained from magnetization curves at various
temperatures. The paramagnetic Curie temperature of the compound 6,DyCuAl compound, once
determined as 35 K by [1973Oes] was later estimated to be lower, at 25.9 K by [1998Jav] or 28 K by
[2001Hav].
[1979Fel] studied the magnetism and hyperfine interactions of 151Eu, 155Gd, 161Dy, 166Er and 170Yb in
RCu4Al8 and reported a Neel temperature of 19 K for the 1,DyCu4Al8 compound. [1981Fel] reported
3.9 K for 1,DyCu6Al6. [1998Jav] studied the magnetic properties of the RCuAl (R = Y, Ce to Sm, Gd to
Tm and Lu) intermetallic compounds measuring susceptibility, magnetization and specific heat and
observed a magnetic ordering at low temperatures in most of these materials: PrCuAl and NdCuAl showed
an antiferromagnetic behavior while in the heavy rare-earth compounds (R=Gd-Er) a ferromagnetic
coupling was found. Moreover [1999And] studied the magnetic anisotropy and the spontaneous
magnetostriction of DyCuAl by means of X-ray diffraction.
The interaction of H2 with RCuAl (R = Dy, Ho, Er) was studied by [1996Mit].
References
[1931Pre] Preston, G.D., “An X-ray Investigation of Some Copper-Aluminium Alloys”, Philos. Mag.,
12, 980-993 (1931) (Crys. Structure, Experimental, 11)
[1968Dwi] Dwight, A.E., Müller, M.H. Conner Jr, R.A., Downey, J.W., Knott, H., “Ternary
Compounds with the Fe2P-Type Structure”, Trans. Met. Soc. AIME, 242, 2075-2080 (1968)
(Crys. Structure, Experimental, 14)
[1973Oes] Oesterreicher, H., “Structural and Magnetic Studies on Rare Earth Compounds RNiAl and
RCuAl”, J. Less-Common Met., 30, 225-236 (1973) (Crys. Structure, Experimental, 21)
[1978Tak] Takeshita, T., Malik, S.K., Wallace, W.E., “Crystal Structure of RCu4Ag and RCu4Al (R =
Rare Earth) Intermetallic Compounds”, J. Solid State Chem., 23, 225-229 (1978) (Crys.
Structure, Experimental, 8)
[1979Fel] Felner, I., Nowik, I., “Magnetism and Hyperfine Interactions of 57Fe, 151Eu, 155Gd, 161Dy,166Er and 170Yb in RM4Al8 Compounds (R=Rare Earth or Y, M=Cr, Mn, Fe, Cu)”, J. Phys.
Chem. Solids, 40, 1035-1044 (1979) (Crys. Structure, Experimental, 8)
[1980Fel] Felner, I., “Crystal Structure of Ternary Rare Earth - 3d Transition Metal Compounds of the
RT6Al6 Type”, J. Less-Common Met., 72, 241-249 (1980) (Crys. Structure, Experimental,
10)
[1981Fel] Felner, I., Seh, M., Rakavy, M., Nowik, I., “Magnetic Order and Hyperfine Interactions in
RFe6Al6 (R = Rare Earth)”, J. Phys. Chem. Solids, 42, 369-377 (1981) (Crys. Structure,
Experimental, 6)
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MSIT®
Al–Cu–Dy
[1982Pre] Prevarskiy, A.P., Kuz'ma, Yu.B., “New Compounds with Th2Sn17 Type Structure in REM-
Al-Cu Systems”, Russ. Metall., 6, 155-156 (1982) (Crys. Structure, Experimental, 5)
[1987Tsv1] Tsvyashchenko, A.V., Fomicheva, L.N., “High-Pressure Synthesis and Structural Studies of
Rare Earth (R) Compounds RCuAl”, J. Less-Common Met., 134, L13-L15 (1987) (Crys.
Structure, Experimental, 10)
[1987Tsv2] Tsvyashchenko, A.V., Fomicheva, L.N., “New Polymorphic Modifications of the
Compounds RTAl (R = Rare Earth, T = Cu, Ni)”, Inorg. Mater., 23, 1024-1027 (1987),
translated from Izv. Akad. Nauk SSSR, Neorg. Mater., 23, 1148-1152 (1987) (Crys.
Structure, Experimental, 15)
[1988Gsc] Gschneidner Jr, K.A., Calderwood, F.W., “The Al-Dy (Aluminum-Dysprosium) System”,
Bull. Alloy Phase Diagrams, 9, 673-675 (1988) (Equi. Diagram, Review, #, 29)
[1988Kuz] Kuz'ma, Yu.B., Stel'makhovich, B.M., “New RCuAl3 Compounds (R = Tb, Dy, Ho, Er, Tm,
Yb) and Their Crystal Structure" (in Russian), Dokl. Akad. Nauk Ukr. SSR, Ser. B: Geol.
Khim. Biol. Nauki, (11), 40-43 (1988) (Crys. Structure, Experimental, 4)
[1988Sub] Subramanian, P.R., Laughlin, D.E., “The Cu-Dy (Copper-Dysprosium) System”, Bull.
Alloy Phase Diagrams, 9, 331-337 (1988) (Equi. Diagram, Review, 29)
[1989Kuz] Kuz'ma, Yu.B., Milyan, V.V., “Phase Equilibria in the System Dy-Cu-Al at 500°C”, Russ.
Metall., (1), 216-218 (1989), translated from Izv. Akad. Nauk SSSR Metally, (1), 211-213
(1989) (Crys. Structure, Equi. Diagram, Experimental, *, #, 8)
[1989Mee] Meetsma, A., De Boer, J.L., Van Smaalen, S., “Refinement of the Crystal Structure of
Tetragonal Al2Cu”, J. Solid State Chem., 83(2), 370-72 (1989) (Crys. Structure,
Experimental, 17)
[1990Ste] Stel’makhovych, B.M., Kuz’ma, Yu.B., “ New Compounds Ln6(Cu,Al)23 and their Crystal
Structure”, Dopov. Akad. Nauk. URSR, 6, 60 (1990) (Crys. Structure, 4)
[1991Ran] Ran, Q., “Aluminium - Copper - Dysprosium”, MSIT Ternary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; Document ID: 10.12784.1.20 (1991) (Crys. Structure, Equi. Diagram,
Assessment, 13)
[1992Kuz] Kuz’ma, Yu.B., Stel’makhovych, B.M., Babizhetsky, V.S., “New Compounds with PuNi3-
Type Structure in REM-Cu-Al Systems”, Russ. Metall., (1), 196-199 (1992), translated
from Izv. Ross. Akad. Nauk Metally, (2), 227-230 (1992) (Experimental, Crys. Structure, 7)
[1994Mur] Murray, J.L., “Al-Cu (Aluminum-Copper)”, Phase Diagrams of Binary Copper Alloys,
Subramanian, P.R., Chakrabarti, D.T., Laughlin, D.E. (Eds.), ASM International, Materials
Park, OH, pp. 18-42 (1994) (Equi. Diagram, Review, 226)
[1994Sub] Subramanian, P.R., Laughlin, D.E., “Cu-Dy (Copper-Dysprosium)”, in Monograph Series
on Alloy Phase Diagrams - Phase Diagrams of Binary Copper Alloys, Subramanian, P.R.,
Chakrabati, D.T., Laughlin, D.E. (Eds.), ASM International, Materials Park, OH, 10, 154-
157 (1994) (Equi. Diagram, Review, 23)
[1996Goe] Gödecke, T., Sommer, F., “Solidification Behaviour of the Al2Cu Phase”, Z. Metallkd.,
87(7), 581-586 (1996) (Equi. Diagram, Crys. Structure, 8)
[1996Mit] Mitrokhin, S.V., Shlychkov, A.P., Verbetskii, V.N., “Interaction of Hydrogen with RCuAl
Compounds of Dysprodium, Holmium and Erbium”, Vest. Moskov. Univ. Ser. 2 Khim.,
37(3), 294-297 (1996) (Experimental)
[1997Sok] Sokolovskaya, E.M., Kazakova, E.F., Loboda, T.P., “Formation and Interaction of Phases
in Multicomponent Metallic Systems of Aluminium Containing d and f Transition Metals”
(in Russian), Izv. Vyssh. Uchebn., Zaved., Tsvetn. Metall., (2), 45-51 (1997) (Equi. Diagram,
Experimental, #, 29)
[1998Jav] Javorský, P., Havela, L., Sechovský, V., Michor, H., Jurek, K., “Magnetic Behaviour of
RCuAl Compounds”, J. Alloys Compd., 264, 38-42 (1998) (Experimental, Magn. Prop.,
Crys. Structure, 15)
434
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cu–Dy
[1998Liu] Liu, X.J., Ohnuma, I., Kainuma, R., Ishida, K., “Phase Equilibria in the Cu-rich Portion of
the Cu-Al Binary System”, J. Alloys Compd., 264, 201-208 (1998) (Equi. Diagram, Crys.
Structure, 25)
[1999And] Andreev, A.V., Javorsky, P.A., Lindbaum, A., “Magnetic Anisotropy and Spontaneous
Magnetostriction of RCuAl (R = Gd, Dy, Ho)”, J. Alloys Compd., 290, 10-16 (1999)
(Experimental, Magn. Prop., Crys. Structure, 15)
[2000Sac] Saccone, A., Cardinale, A.M., Delfino, S., Ferro, R., “Gd-Al and Dy-Al Systems: Phase
Equilibria in the 0 to 66.7 at.% Al Composition Range”, Z. Metallkd., 91(1), 17-23 (2000)
(Experimental, Equi. Diagram, Crys. Structure, #, 12)
[2000Ste] Stel’makhovych, B.M., Gumeniuk, R.V., Kuz’ma, Yu.B., “Compounds Dy3Ag2.3Al8.7,
Ho3Ag2.1Al8.9, Dy3Cu2.6Al8.4 and Ho3Cu2.4Al8.6 as New Representatives of the La3Al11-
type Structure”, J. Alloys Compd., 307, 218-222, (2000) (Experimental, Crys. Structure, 11)
[2001Hav] Havela, L., Divis, M., Sechovsky, V., Andreev, A.V., Honda, F., Oomi, G., Meresse, Y.,
Heathman, S., “U Ternaries with ZrNiAl Structure – Lattice Properties”, J. Alloys Compd.,
322, 7-13 (2001) (Crys. Structure, Magn. Prop., 18)
[2002Gul] Gulay, L.D., Harbrecht, B., “The Crystal Structures of the 1 and 2 Phases in the Al-Cu
System”, Abstr. VIII Int. Conf. “Crystal Chemistry of Intermetallic Compounds”,
September 2002, Lviv, P139, 73 (2002) (Crys. Structure, Experimental, 5)
[2003Gro] Groebner, J., “Al-Cu (Aluminium - Copper)”, MSIT Binary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; to be published, (2003) (Equi. Diagram, Crys. Structure, Assessment, 68)
[2003Gry] Grytsiv, A., “Al-Dy (Aluminium - Dysprosium)”, MSIT Binary Evaluation Program, in
MSIT Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services
GmbH, Stuttgart; Document ID 20.20073.1.20 (2003) (Equi. Diagram, Assessment, #, 8)
[2003Ria] Riani, P., Arrighi, L., Marazza, R., Mazzone, D., Zanicchi, G., Ferro, R., “Ternary Rare
Earth Aluminium Systems with Copper: a Review and a Contribution to their Assessment”,
submitted for publication J. Phase Equilib., submitted for publication (2003) (Review,
Assessment, 267)
Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
<660
cF4
Fm3m
Cu
a = 404.96 pure Al at 25°C [Mas2]
Cu solubility 2.48 at.% [Mas2]
Negligible solid solubility of Dy
[1988Gsc]
(Cu)
< 1084.62
Cu1-xAlx
cF4
Fm3m
Cu
a = 361.46
a = 361.52
a = 365.36
pure Cu at 25°C [Mas2],
0 to 19.7 at.% Al [Mas2]
negligible solid solubility of Dy
[1994Sub]
[2003Gro], x = 0, quenched from 600°C
[2003Gro], x = 0.152, quenched from
600°C
( Dy)
1412-1381
cI2
Im3m
W
a = 398.0 [Mas2]
dissolves up to ~12 at.% Cu at 800°C
[1994Sub]
dissolves up to ~3 at.% Al at 1300°C
[1988Gsc]
435
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cu–Dy
( Dy)
< 1381
hP2
P63/mmc
Mg
a = 359.15
c = 565.01
[Mas2]
dissolves up to 1 at.% Al at 1300°C
[1988Gsc]
, Cu3Al(h)
1049-559
cI2
Im3m
W
a = 294.6
a = 295.64
~70 to 82 at.% Cu [1994Mur], [1998Liu]
at 580°C
at 672°C in two-phase (Cu)+ alloy
2, Cu100-xAlx< 363
t**
TiAl3Long period
super-lattice
a = 366.8
c = 368.0
22 x 23.5 [1994Mur]
76.5 to 78.0 at.% Cu
at 76.4 at.% Cu (subcell only)
0, Cu100-xAlx Cu∼2Al
1037-800
cI52
I43m
Cu5Zn8
31.5 x 40.2 [Mas2],
32.0 x 38.0 [1998Liu]
1, Cu9Al4< 890
cP52
P43m
Cu9Al4 a = 870.23
62 to 68 at.% Cu [Mas2, 1998Liu]
From single crystal [V-C2] at 68 at.% Cu
, Cu100-xAlx< 686
hR*
R3m
38.1 x 40.7 [1994Mur]
59.3 to 61.9 at.% Cu
at x = 38.9 [V-C2]
1, Cu100-xAlx958-848
Cubic? 40.6 x 37.9
59.4 to 62.1 at.% Cu [Mas2, 1994Mur]
2, Cu2-xAl
850-560
hP6
P63/mmc
Ni2In
a = 414.6
c = 506.3
0.78 x 0.45
55 to 61 at.% Cu [Mas, 1994Mur, V-C2],
NiAs type in [Mas2, 1994Mur]
1, Cu47.8Al35.5 (h)
590-530
oF88 - 4.7
Fmm2
Cu47.8Al35.5
a = 812
b = 1419.85
c = 999.28
55 to 57 at.% Cu [Mas2, 1994Mur]
structure: [2002Gul]
2, Cu11.5Al9(r)
< 570
oI24 - 3.5
Imm2
Cu11.5Al9
a = 409.72
b = 713.13
c = 997.93
55.2 to 56.3 at.% Cu
[V-C, Mas2, 2003Gro]
structure: [2002Gul]
1, CuAl(h)
624-560
o*32 a = 408.7
b = 1200
c = 863.5
49.8 to 52.4 at.% Cu
[V-C, Mas2, 1994Mur]
Pearson symbol: [1931Pre]
2, CuAl(r)
< 560
mC20
C2/m
CuAl
a = 1206.6
b = 410.5
c = 691.3
= 55.04°
49.8 to 52.3 at.% Cu [V-C2]
, CuAl2< 591
tI12
I4/mcm
CuAl2 a = 606.7
c = 487.7
32.05 to 32.6 at.% Cu at 549°C
32.4 to 32.8 at.% Cu at 250°C [1996Goe]
single crystal [V-C2, 1989Mee]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
436
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cu–Dy
DyCu1-xAlx
DyCu
< 955
cP2
Pm3m
CsCl
a = 357
a = 344 to 346
0 x 0.6
x = 0.6 [1989Kuz]
[1994Sub]
DyCu2
< 890
oI12
Imma
CeCu2
a = 430
b = 680
c = 729
[1994Sub]
Al solubility ~3 at.% [1989Kuz]
Dy2Cu7
~905 - ~855
? [1994Sub]
Dy2Cu9
< 970
t** a = 499.9
c = 1394
[1994Sub]. The existence of this phase
was questioned by [1994Sub] and can
not be confirmed by ternary data
, DyCu5
965 - 930
hP6
P6/mmm
CaCu5
a = 502
c = 408
Lattice parameters interpolated from the
systematics of crystal data of RE-Cu
alloys [1994Sub]
Dy(AlxCu1-x)5
< 930
DyCu5
cF24
F43m
AuBe5 a = 702.5
0 x 0.012 from figure in [1989Kuz]
[1994Sub]
DyCu7
~860 - ~775
hP8
TbCu7
Closely related to
hP6 - CaCu5
a = 493.2
c = 415.6
[1994Sub]
DyAl31090-1005
hR60
R3m
HoAl3
a = 607.0
c = 3594
[1988Gsc]
DyAl3< 1005
hP16
P63/mmc
TiNi3
a = 609.1
c = 953.3
[1988Gsc]
DyCuxAl2-x
DyAl2< 1500
cF24
Fd3m
MgCu2
a = 778
a = 783.6
0 x 0.32
at x = 0.32 [1989Kuz]
at x = 0 [1988Gsc], [2000Sac]
DyAl
< 1100
oP16
Pbcm
ErAl
a = 582.2
b = 1137 to 1134
c = 560 to 559
[1988Gsc], [2000Sac]
Dy3Al2< 1025
tP20
P42/mnm
Zr3Al2
a = 817 to 820
c = 754 to 755
[1988Gsc], [2000Sac]
Dy2Al
< 990
oP12
Pnma
Co2Si
a = 654 to 653
b = 508
c = 940 to 938
[1988Gsc] [2000Sac]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
437
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cu–Dy
1, Dy(CuxAl1-x)12
DyCu4Al8
DyCu6Al6
tI26
I4/mmm
ThMn12
a = 872.5
c = 513.7
a = 869.0
c = 506.2
a = 866.2
c = 504.2
0.33 x 0.50 at 800°C [1980Fel]
0.33 x 0.37 at 500°C (x range
estimated from figure in [1989Kuz])
at x = 0.33, as cast sample [1979Fel]
at x = 0.33, 500°C [1989Kuz]
at x = 0.5, 800°C [1980Fel]
2, Dy2(CuxAl1-x)17 hR57
R3m
Th2Zn17
a = 881.2
c =1284.4
a = 871.6
c =1273.5
0.394 x 0.588 [1989Kuz]
at x = 0.394 [1989Kuz]
at x = 0.588 [1982Pre]
3, Dy(CuxAl1-x)5 hP6
P6/mmm
CaCu5
a = 506.4
c = 415.2
a = 520
c = 408
0.46 x 0.8 [1989Kuz]
at x = 0.8 [1978Tak]
at x = 0.46 [1989Kuz]
4, DyCu0.9Al2.1 hR36
R3m
PuNi3
a = 545.7
c = 2531.7
[1992Kuz]
Previously reported as Dy5Cu6Al9[1989Kuz]
5, DyCuAl3 oI10
Immm
HoCuAl3
oI12
Immm
La3Al11
a = 420.5
b = 414.3
c = 981.3
a = 421.25
b = 1243.2
c = 982.67
[1988Kuz, 1997Sok]
Melting point higher than 1550°C
[1989Kuz]
[2000Ste] for 5-Dy3Cu2.6Al8.4
This cell possibly is a superstructure of
that described above (3b)
6, DyCu2-xAlx hP9
P62m
ZrNiAl
a = 701.5
c = 402.4
a = 702.29
c = 402.49
0.95 x 1 (from figure in [1989Kuz])
[1999And, 2001Hav] at 25°C
[1968Dwi] (hP9 type Fe2P)
7, Dy4Cu4Al11 [1989Kuz]
8, Dy6Cu16Al7 cF116
Fm3m
Th6Mn23
a = 1227.5 [1990Ste]
not observed by [1989Kuz] in the
investigation of the isothermal section
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
438
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cu–Dy
20
40
60
80
20 40 60 80
20
40
60
80
Dy Cu
Al Data / Grid: at.%
Axes: at.%
θ,CuAl2
η2,CuAl
α,DyAl3
DyAl2
DyAl
Dy3Al2
Dy2Al
ζ2
δγ1τ6
τ8
τ3
τ2
τ1
τ5
τ7
τ4
DyCu DyCu 2α,DyCu5
(Dy)(Cu)
(Al)Fig. 1: Al-Cu-Dy.
Isothermal section at
500°C
439
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cu–Er
Aluminium – Copper – Erbium
Paola Riani, Laura Arrighi, Pierre Perrot
Literature Data
A critical review of the literature data up to 1989 has been made by [1991Ran] and later literature considered
in a general review of the crystallochemical and phase equilibria of the R-Cu-Al systems (R =
rare-earth) by [2003Ria]. Different compounds have been identified and their crystal structures determined:
(1) ErCuAl by [1968Dwi, 1973Oes, 1989Kuz], with a high pressure modification reported by [1987Tsv1,
1987Tsv2], (2) ErCuAl3 by [1988Kuz, 1989Kuz], (3) ErCu4Al by [1978Tak], (4) Er2Cu7Al10 by [1982Pre,
1989Kuz], (5) ErCu4Al8 by [1976Bus, 1979Fel, 1989Kuz], (6) ErCu6Al6 by [1980Fel, 1981Fel] and (7)
ErCu0.9Al2.1 reported by [1992Kuz].
The alloys generally were prepared from 99.5% to 99.9 mass% Er and higher purity Cu and Al. They were
melted either by arc melting or under argon protection in induction furnaces using MgO crucibles; followed
by homogenization heat treatments. [1989Kuz] studied the phase equilibria at 600°C by X-ray powder
analysis on 107 samples and reported trends in the lattice parameters for a number of solid solutions.
[1974Oes] studied the homogeneity ranges of Er(Cu1–xAlx)2 and Er(CuxAl1–x)2 and determined the limits
of solubility by the appearance of X-ray diffraction lines characterizing a new phase. The results reveal that
copper in ErCu2 can be replaced by up to about 1.5 mole% aluminium and that in ErAl2 up to about 15
mole% aluminium can be replaced by copper.
Binary Systems
The reported ternary experimental data are limited and can be summarized in the isothermal section at
600°C, which is consistent in its binary boundaries with (a) the Al-Er phase diagram by [1988Gsc], the
Al-Cu phase diagram by [2003Gro] and Er-Cu as reported by [1994Sub]. Amendments have been made to
the reported crystal structure data based on [2003Ria].
Solid Phases
According to [1980Fel] the ThMn12 type structure is observed for RCu4Al8 and RCu6Al6, where R = rare
earth from Gd to Lu and Y. From the literature it is not always explicit whether the two compositions 1:4:8
and 1:6:6 correspond to two different phases or whether they are the limits of a solid solution range.
[1989Kuz] found 1,ErCu4Al8 to be stoichiometric and did not confirm the existence of 1,ErCu6Al6.
However, on the basis of [1980Fel], we considered the 1,Er(CuxAl1-x)12 as non stoichiometric with 0.33
x 0.5. Obviously its range changes with the temperature, as [1980Fel] and [1989Kuz] observed it at
different compositions at different temperatures, see Table 1. The existence of a homogeneity range for the
compounds R(CuxAl1-x)12, where R is a rare earth, was recently suspected by the same team for R = Y
[2003Kra] and confirmed for R = Sc [2003Kan].
The crystal structure of the RCu4Al phases (R = La to Sm and Gd to Tm) has been studied by [1978Tak];
this composition is included by [1989Kuz] in the homogeneity range of the phase 3,Er(CuxAl1-x)5 with
0.46 x 0.82.
Subsequently [1992Kuz] determined the crystal structure of the 4,ErCu0.9Al2.1 phase as pertaining to the
PuNi3 type (hR36).
Crystallographic data for all solid phases are given in Table 1.
Isothermal Sections
Figure 1, an isothermal section at 600°C is based on the work of [1989Kuz], corrected at the Al-Cu
boundary to be in agreement with the accepted binary diagram. At the Cu-Er edge of the ternary isothermal
section, however, the two compounds Er2Cu7 and Er2Cu9 are omitted, although they are reported in the
accepted binary, as they were not observed at this temperature in the ternary alloys by [1989Kuz]. These
440
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cu–Er
two compounds, designated Er2Cu7 and Er2Cu9 by [1994Sub] have been designated as ErCux and ErCuy by
[1970Bus], who assumes that ErCux forms peritecticaly at 940°C, that ErCuy melts congruently at 1010°C.
By lack of data in the Cu-Er system these assumptions are based on the melting behavior of other similar
rare earth-copper compounds.
Inside the ternary system there are four ternary solid solutions: (1) 1,Er(CuxAl1-x)12 (ThMn12 type), which
is shown as a stoichimetric phase at this temperature according to [1989Kuz], (2) 2, Er2(CuxAl1-x)17 with
Th2Zn17 type structure and a solution range of 0.41 x 0.56, (3), 3, Er(CuxAl1-x)5 in a range of
0.46 x 0.82 and with a CaCu5 type structure and (4) the 6, ErCuAl with a small solubility range and
ZrNiAl type structure.
Three stoichiometric compounds have been found. (I) Er5Cu6Al9 (PuNi3 type) for which [1992Kuz]
suggested that it assimilates with ErCu0.9Al2.1( 4) (PuNi3 type) in samples annealed at 600°C, (II) the
5,ErCuAl3 being of HoCuAl3 type structure and (II) the 7,Er2Cu3Al5 whose structure is unknown. At
600°C ErCu2 dissolves up to ~1 at.% aluminium, ErCu dissolves up to ~20 at.% aluminium and ErAl2 up
to about 13 at.% copper. The 8,Er6Cu16Al7 (Th6Mn23 type) identified by [1990Ste] has not been observed
at 600°C by [1989Kuz]. Its position in the phase diagram is shown in Fig. 1, but it is not possible to draw
reliable equilibrium lines between 8 and its surrounding phases.
Notes on Materials Properties and Applications
[1979Fel] studied the magnetism and hyperfine interactions of 151Eu, 155Gd, 161Dy, 166Er and 170Yb in
RCu4Al8 and [1995Cac] reported neutron spectroscopy studies of crystal-field interaction in RT4Al8compounds (R = Tb, Ho, Er; T = Mn, Fe, Cu).
[1973Oes] measured the Curie temperature of the ErCuAl compound as 17 K. [1996Jav] found that ErCuAl
orders ferromagnetically below Tc= 6.8 K with the magnetic moments parallel to the c-axis, a behavior
which [1998Jav] confirmed later by measuring susceptibility, magnetization and specific heat.
[1996Mit] studied the interaction of H2 with RCuAl (R = Dy, Ho, Er).
For the ErCu4Al8 compound, a type 1 antiferromagnetic structure is observed by neutron powder diffraction
in [1997Bai].
References
[1931Pre] Preston, G.D., “An X-ray Investigation of some Copper-Aluminium Alloys”, Philos. Mag.,
12, 980-993 (1931) (Crys. Structure, Experimental, 11)
[1968Dwi] Dwight, A.E., Mueller, M.H., Conner, R.A., JR., Downey, J.W., Knott, H., “Ternary
Compounds with the Fe2P-Type Structure”, Trans. Met. Soc. AIME, 242, 2075-2080 (1968)
(Crys. Structure, Experimental, 14)
[1970Bus] Buschow, K.H.J., “The Erbium-Copper System”, Philips J. Res., 25, 227-230 (1970) (Equi.
Diagram)
[1973Oes] Oesterreicher, H., “Structural and Magnetic Studies on Rare Earth Compounds RNiAl and
RCuAl”, J. Less-Common Met., 30, 225-236 (1973) (Crys. Structure, Magn. Prop.,
Experimental, 21)
[1974Oes] Oesterreicher, H., “Constitution of Aluminum Base Rare Earth Alloys RT2-RAl2 (R = Pr,
Gd, Er; T = Mn, Fe, Co, Ni, Cu)”, Inorg. Chem., 13, 2807-2811 (1974) (Equi. Diagram,
Crys. Structure, Experimental, 30)
[1976Bus] Buschow, K.H.J., van Vucht, J.H.N., van Den Hoogenhof, W.W., “Note on the Crystal
Structure of the Ternary Rare Earth - 3d Transition Metal Compounds of the Type RT4Al8”,
J. Less-Common Met., 50, 145-150 (1976) (Crys. Structure, Experimental, 2)
[1978Tak] Takeshita, T., Malik, S.K., Wallace, W.E., “Crystal Structure of RCu4Ag and RCu4Al (R =
Rare Earth) Intermetallic Compounds”, J. Solid State Chem., 23, 225-229 (1978) (Crys.
Structure, Experimental, 8)
[1979Fel] Felner, I., Nowik, I., “Magnetism and Hyperfine Interactions of 57Fe, 151Eu, 155Gd, 161Dy,166Er and 170Yb in RM4Al8 Compounds (R=Rare Earth or Y, M=Cr, Mn, Fe, Cu)”, J. Phys.
Chem. Solids, 40, 1035-1044 (1979) (Crys. Structure, Magn. Prop., Experimental, 8)
441
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cu–Er
[1980Fel] Felner, I., “Crystal Structure of Ternary Rare Earth - 3d Transition Metal Compounds of the
RT6Al6 Type”, J. Less-Common Met., 72, 241-249 (1980) (Crys. Structure, Experimental,
10)
[1981Fel] Felner, I., Seh, M., Rakavy, M., Nowik, I., “Magnetic Order and Hyperfine Interactions in
RFe6Al6 (R = Rare Earth)”, J. Phys. Chem. Solids, 42, 369-377 (1981) (Crys. Structure,
Experimental, Magn. Prop., 6)
[1982Pre] Prevarsky, A.P., and Kuz'ma, Yu.B., “New Compounds with Th2Sn17 Type Structure in
REM-Al-Cu Systems”, Russ. Metall., 6, 155-156 (1982) (Crys. Structure, Experimental, 5)
[1985Mur] Murray, J.L., “The Aluminum-Copper System”, Int. Met. Rev., 30(5), 211-233 (1985)
(Equi. Diagram, Crys. Structure, Review, 230)
[1987Tsv1] Tsvyashchenko, A.V., Fomicheva, L.N., “High Pressure Synthesis and Structural Studies of
Rare Earth (R) Compounds RCuAl”, J. Less-Common Met., 134, L13-L15 (1987) (Crys.
Structure, Experimental, 10)
[1987Tsv2] Tsvyashchenko, A.V., Fomicheva, L.N., “New Polymorphic Modifications of the
Compounds RTAl (R = r.e.m., T = Cu, Ni)”, Inorg. Mater., 23, 1024-1027 (1987), translated
from Izv. Akad. Nauk SSSR, Neorg. Mater., 23, 1148-1152 (1987) (Crys. Structure,
Experimental, 15
[1988Gsc] Gschneidner Jr, K.A., Calderwood, F.W., “The Al-Er (Aluminum-Erbium) System”, Bull.
Alloy Phase Diagrams, 9, 676-678 (1988) (Equi. Diagram, Review, 29)
[1988Kuz] Kuz'ma, Yu.B., Stel'makhovich, B.M., “New RCuAl3 Compounds (R = Tb, Dy, Ho, Er, Tm,
Yb) and Their Crystal Structure” (in Russian), Dokl. Akad. Nauk Ukr. SSR, B: Geol. Khim.
Biol., (11), 40-43 (1988) (Crys. Structure, Experimental, 4)
[1988Sub] Subramanian, P.R., Laughlin, D.E., “The Cu-Er (Copper-Erbium) System”, Bull. Alloy
Phase Diagrams, 9, 337-342 (1988) (Equi. Diagram, Review, 17)
[1989Kuz] Kuz'ma, Yu.B., Pan'kiv, T.V., “X-Ray Structural Study of the Er-Cu-Al System”, Russ.
Metall., (3), 208-210 (1989), translated from Izv. Akad. Nauk SSSR Met., (3), 218-219
(1989) (Equi. Diagram, Crys. Structure, Experimental, 5)
[1989Mee] Meetsma, A., De Boer, J.L., van Smaalen, S., “Refinement of the Crystal Structure of
Tetragonal Al2Cu”, J. Solid State Chem., 83(2), 370-372 (1989) (Crys. Structure,
Experimental, 17)
[1990Ste] Stel’makhovych, B.M., Kuz’ma, Y.B., “New Compounds La6(CuAl)23 and their Crystal
Structure”, Dopov. Akad. Nauk. URSR, (6), 63-65 (1990) (Crys. Structure, Experimental, 4)
[1991Ell] Ellner, M., Kolatschek, K., Predel, B., “On the Partial Atomic Volume and the Partial Molar
Enthalpy of Aluminium in Some Phases with Cu and Cu3Au Structures”, J. Less-Common
Met., 170, 171-184 (1991) (Experimental, Crys. Structure, 57)
[1991Ran] Ran, Q., “Aluminium-Copper-Erbium”, MSIT Ternary Evaluation Program, in MSIT
Workplace, Effenberg, G. (Ed.), MSI, Materials Science International Services GmbH,
Stuttgart; Document ID: 10.12785.1.20, (1991) (Crys. Structure, Equi. Diagram.,
Assessment, 13)
[1992Kuz] Kuz’ma, Y.B., Stel’makhovych, B.M., Babizhetsky, V.S., “New Compounds with
PuNi3-Type Structure in REM-Cu-Al Systems”, Russ. Metall., 1, 196-199 (1992),
translated from Izv. Ross. Akad. Nauk Metally, (2), 227-230, 1992 (Experimental, Crys.
Structure, 7)
[1994Mur] Murray, J.L., “Al-Cu (Aluminum-Copper)” in “Phase Diagrams of Binary Copper Alloys”,
Subramanian, P.R., Chakrabarti, D.T., Laughlin, D.E. (Eds.), ASM Intl., Materials Park,
OH, 18-42 1994 (Equi. Diagram, Review, 226)
[1994Sub] Subramanian, P.R., Laughlin, D.E., “Cu-Dy (Copper-Dysprosium)” in “Monograph Series
on Alloy Phase Diagrams - Phase Diagrams of Binary Copper Alloys”, Subramanian, P.R.,
Chakrabarti, D.T., Laughlin, D.E. (Eds.), ASM Intl., Vol. 10, 154-157 (1994) (Equi.
Diagram, Review, 23)
442
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MSIT®
Al–Cu–Er
[1995Cac] Caciuffo, R., Amoretti, G., Buschow, K.H.J., Moze, O., Murani, A.P., Paci B., “Neutron
Spectroscopy Studies of the Crystal-Field Interaction in RET4Al8 Compounds (RE = Tb,
Ho or Er; T = Mn, Fe, or Cu)”, J. Phys.: Condens. Matter, 7, 7981-7989 (1995)
(Experimental, Crys. Structure, 23)
[1996Goe] Gödecke, T., Sommer, F., “Solidification Behaviour of the Al2Cu Phase”, Z. Metallkd.,
87(7), 581-586 (1996) (Equi. Diagram, Crys. Structure, 8)
[1996Jav] Javorský, P., Burlet, P., Ressouche, E., Sechovský, V., Michor, H., Lapertot, G., “Magnetic
Structure Study of ErCuAl and ErNiAl”, Physica B, 225, 230-236 (1996) (Magn. Prop.,
Experimental, 16)
[1996Mit] Mitrokhin, S.V., Shlychkov, A.P., Verbetskii, V.N., “Interaction of Hydrogen with RCuAl
Compounds of Dysprodium, Holmium and Erbium”, Vest. Moskov. Univ. Ser. 2 Khim.,
37(3), 294-297 (1996) (Experimental)
[1997Bai] Baio, G., Moze, O., Amoretti, G., Sonntag, R., Stüßer, N., Bschow, K.H.J., “Neutron
Diffraction Study of RMn4Al8 (R=Nd, Dy, Ho, Er), ErCr4Al8 and ErCu4Al8”, Z. Phys. B,
102, 449-459 (1997) (Crys. Structure, Experimental, Magn. Prop., 20)
[1998Jav] Javorský, P., Havela, L., Sechovský, V., Michor, H., Jurek, K., “Magnetic Behaviour of
RCuAl Compounds”, J. Alloys Compd., 264, 38-42 (1998) (Experimental, Magn. Prop.,
Crys. Structure, 15)
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the Cu-Al Binary System”, J. Alloys Compd., 264(1-2), 201-208 (1998) (Equi. Diagram,
Crys. Structure, 25)
[2002Gul] Gulay, L.D., Harbrecht, B., “The Crystal Structures of the 1 and 2 Phases in the Al-Cu
System”, Abstr. VIII Int. Conf. ”Crystal Chemistry of Intermetallic Compounds”,
September 2002, Lviv, P139, 73 (2002) (Crys. Structure, Experimental, 5)
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Table 1: Crystallographic Data of Solid Phases
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
(Al)
<660.45
cF4
Fm3m
Cu
a = 404.96 at 25°C [Mas2]
Cu solubility 2.48 at.% [Mas2]
no appreciable solubility of Er [1988Gsc]
(Cu)
< 1084.62
Cu1-xAlx
cF4
Fm3m
Cu
a = 361.46
a = 361.52
a = 365.36
at 25°C [Mas2],
0 to 19.7 at.% Al [Mas2]
no appreciable solubility of Er [1994Sub]
[1991Ell], x = 0, quenched from 600°C
[1991Ell], x = 0.152, quenched from
600°C
443
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cu–Er
(Er)
<1529
hP2
P63/mmc
Mg
a = 355.92
c = 558.50
pure Er at 25°C [1994Sub]
solubility: < 1 at.% Al, [1988Gsc]
<0.5 at.% Cu [1994Sub]
, Cu3Al(h)
1049-559
cI2
Im3m
W
a = 294.6
a = 295.64
~70 to 82 at.% Cu [1985Mur],
[1998Liu] at 580°C
at 672°C in two-phase (Cu)+ alloy
2, Cu100-xAlx< 363
t**
TiAl3long period
super-lattice
a = 366.8
c = 368.0
22 x 23.5 [1985Mur]
76.5 to 78.0 at.% Cu
at 76.4 at.% Cu
(subcell only)
0, Cu100-xAlxCu∼2Al
1037-800
cI52
I43m
Cu5Zn8
31.5 x 37 [Mas2],
32 x 38 [1998Liu]
1, Cu9Al4< 890
cP52
P43m
Cu9Al4
a = 870.23
62 to 68 at.% Cu [Mas2, 1998Liu];
from single crystal [V-C2] at 68 at.% Cu
, Cu100-xAlx< 686
hR*
R3m
a = 1226
c = 1511
38.1 x 40.7 [1985Mur]
59.3 to 61.9 at.% Cu
at x = 38.9 [V-C2]
1, Cu100-xAlx958-848
cubic? 37.9 x 40.6
59.4 to 62.1 at.% Cu [Mas2, 1985Mur]
2, Cu2-xAl
850-560
hP6-x
P63/mmc
Ni2In
a = 414.6
c = 506.3
0.47 x 0.78
55 to 61 at.% Cu [Mas, 1985Mur, V-C2],
NiAs in [Mas2, 1994Mur]
1, Cu47.8Al35.5(h)
590-530
oF88 - 4.7
Fmm2
Cu47.8Al35.5
a = 812
b = 1419.85
c = 999.28
55.2 to 57 at.% Cu [Mas2, 2003Gro]
structure: [2002Gul]
2, Cu11.5Al9(r)
< 570
oI24 - 3.5
Imm2
Cu11.5Al9
a = 409.72
b = 703.13
c = 997.93
55.2 to 56.3 at.% Cu [Mas2, 1985Mur]
structure: [2002Gul]
1, CuAl(h)
624-560
o*32 a = 408.7
b = 1200
c = 863.5
49.8 to 52.4 at.% Cu
[V-C2, Mas2, 1985Mur]
Pearson symbol: [1931Pre]
2, CuAl(r)
< 560
mC20
C2/m
CuAl
a = 1206.6
b = 410.5
c = 691.3
= 55.04°
49.8 to 52.3 at.% Cu [V-C2]
, CuAl2< 591
tI12
I4/mcm
CuAl2 a = 606.7
c = 487.7
32.05 to 32.6 at.% Cu at 549°C
31.9 to 33 at.% Cu at 250°C [1996Goe]
single crystal [V-C2, 1989Mee]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
444
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cu–Er
ErCu1-xAlxErCu
< 1065
cP2
Pm3m
CsCl
a = 343.1
a = 341.0
a = 347
at x = 0 [1994Sub]
0 x 0.4 at 600°C [1989Kuz]
at x = 0
at x = 0.4
Er(Cu1-xAlx)2
ErCu2
< 935
oI12
Imma
CeCu2
a = 427.4
b = 673.3
c = 726.6
0 x 0.015 (1 at.% Al) [1974Oes]
at x = 0, [1988Sub] [1994Sub]
Er2Cu7
< 940
? [1994Sub]
Er2Cu9
< 1010
? [1994Sub]
ErCu5
<1005
cF24
F43m
AuBe5
a = 700.3 [1994Sub]
at 600°C dissolves up to ~2 at.% Al
according to the figure in [1989Kuz]
ErAl3< 1070
cP4
Pm3m
AuCu3
a = 421.4 [1988Gsc]
ErAl2< 1455
ErCuxAl2-x
cF24
Fd3m
Cu2Mg a = 779.3
a = 773.7
0 x 0.38 (~19 at.% ErCu2) at 600°C
[1989Kuz]
at x = 0 [1988Gsc, 1989Kuz]
at x = 0.38 [1989Kuz]
ErAl
< 1140
oP16
Pbcm
ErAl
a = 580.1
b = 1127
c = 557.0
[1988Gsc]
Er3Al2< 1060
tP20
P42/mnm
Gd3Al2
a = 812.3
c = 748.4
[1988Gsc]
Er2Al
< 1040
oP12
Pnma
Co2Si
a = 651.6
b = 501.5
c = 927.9
[1988Gsc]
* 1, Er(CuxAl1-x)12
ErCu4Al8
ErCu6Al6
tI26
I4/mmm
ThMn12 a = 866.3
c = 510.5
a = 869.1
c = 511.9
a = 863.0
c = 502.9
0.33 x 0.5 (x range tentatively
assigned)
x = 0.33 at 600°C [1989Kuz]
at x = 0.33, as-cast sample [1979Fel]
at x = 0.5 at 800°C [1980Fel]
* 2, Er2(CuxAl1-x)17 hR57
R3m
Th2Zn17
a = 880.4
c = 1285.1
a = 871.0
c = 1274.6
0.41 x 0.56 at 600°C [1989Kuz]
at x = 0.41 [1982Pre]
at x = 0.56 [1989Kuz]
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
445
Landolt-BörnsteinNew Series IV/11A1
MSIT®
Al–Cu–Er
* 3, Er(CuxAl1-x)5
ErCu4Cu
hP6
P6/mmm
CaCu5
a = 502.9
c = 413.9
a = 503.9
c = 413.9
a = 524.1
c = 407.1
0.46 x 0.82 at 600°C [1989Kuz]
at x = 0.82 [1989Kuz]
at x = 0.8 [1978Tak]
at x = 0.46 [1989Kuz]
* 4, ErCu0.9Al2.1 hR36
R3m
PuNi3
a = 542.1
c = 2529.9
[1992Kuz]
Previously reported as Er5Cu6Al9[1989Kuz]
* 5, ErCuAl3 oI10
Immm
HoCuAl3
a = 418.4
b = 411.2
c = 977.3
[1988Kuz]
* 6, ErCuAl
ErCu1+xAl1-x
hP9
P62m
ZrNiAl
a = 697.40
c = 400.19
x = 0 [1968Dwi]
-0.02 x 0.1 at 600°C [1989Kuz]
* 7, Er2Cu3Al5 [1989Kuz]
* 8, Er6Cu16Al7 cF116
Fm3m
Th6Mn23
a = 1224.0 [1990Ste]. Not observed by [1989Kun] in
the investigation of the isothermal section
at 600°C
Phase/
Temperature Range
[°C]
Pearson Symbol/
Space Group/
Prototype
Lattice Parameters
[pm]
Comments/References
20
40
60
80
20 40 60 80
20
40
60
80
Er Cu
Al Data / Grid: at.%
Axes: at.%
β
γ1
δ
ErAl3
ErAl2
ErAl
Er3Al2
Er2Al
(Er)
ErCu ErCu2 ErCu5
τ5
τ4τ2
τ3
τ6
(Cu)
τ7
τ8
L
τ1
η1ε2
(Al)Fig. 1: Al-Cu-Er.
Isothermal section at
600°C