module-manual bachelor plus programme energy science · module-manual bachelor energy science 4...

Module-manual

Bachelor plus programme

Energy Science

12. September 2012

Module-Manual Bachelor Energy Science

2

Introduction/Curriculum ........................................................................................... 3

1. Academic Year ...................................................................................................... 5

General Education ................................................................................................ 6

Chemistry I ............................................................................................................ 8

Chemistry II ......................................................................................................... 11

Physics I .............................................................................................................. 14

Physics II ............................................................................................................. 18

Theory I ................................................................................................................ 22

Theory II ............................................................................................................... 25

General Skills ...................................................................................................... 29

2. Academic Year .................................................................................................... 32

Energy Technology ............................................................................................. 33

Energy Science I ................................................................................................. 47

Physics III ............................................................................................................ 50

Physics IV ............................................................................................................ 54

Theory III .............................................................................................................. 58

Theory IV .............................................................................................................. 62

3. Academic Year (Year of studies abroad: here at BME) ................................... 67

Energy Science II ................................................................................................ 68

Energy Science III ............................................................................................... 72

Environmental Aspects ...................................................................................... 77

Advanced Science I ............................................................................................ 82

Advanced Science II ........................................................................................... 93

Studium Liberale ............................................................................................... 102

4. Academic Year .................................................................................................. 103

Energy Science IV ............................................................................................. 104

Energy Science V .............................................................................................. 109

Theory V ............................................................................................................. 112

Advanced Science III ........................................................................................ 114

Advanced Scientific Methods .......................................................................... 120

Bachelor Thesis ................................................................................................ 124

Legend ................................................................................................................... 126

Curriculum: Modules und Courses ..................................................................... 127


3

Introduction/Curriculum

This study programme prepares students for the task to develop and evaluate concepts, how to supply modern societies with energy. It does so from a mainly scientific perspective, but provides an overview over the corresponding technologies and their sustainability, as well. The study programme takes four years. It ends with the degree Bachelor of Science (B.Sc.). This degree certifies the professional qualification described above. Graduates can enter corresponding professions, e.g. in research and development for energy conversion or storage, in energy management, or in energy consulting. A consecutive research oriented Master programme Energy Science of one year duration is being developed. Open-mindedness with respect to the global aspects of the energy issue and the ability to communicate on an international level are indispensable parts of the professional profile for the graduates of the study programme Energy Science. Therefore the third year must be spent at a partner university abroad. The programme for the third year has been worked out together with Budapest University of Technology and Economics (BME) in Hungary. This cooperation is supported by the German Academic Exchange Service (DAAD). A similar programme has been agreed with the Hongkong Baptist University in Hongkong; further cooperation agreements with other partners are presently being negotiated. The study programme is structured in modules as shown in the diagram above. The courses belonging to a module, their contents, and the qualifications imparted, are described in this handbook. Two different units are used to quantify the estimated workload of a course, working hours (h) respectively ECTS-Credits (Cr) according to the European Credit Transfer and Accumulation System. One ECTS-Credit corresponds to 30 h. During the first two years most courses are given in German, whereas the regular course language in the third and fourth year is English. Module descriptions in this handbook are given in the respective language. A few courses in English during the first two years, in particular the seminar within module Energy Science I prepare the students for studying abroad in the third year. For the sake of more transparency, modules that impart related qualifications have been grouped into four competence areas in the diagram above: The competence area Energy Science deals with interdisciplinary aspects of energy supply, ranging from the microscopic processes underlying energy conversion, storage and trans-port, to technological, economic and sustainability considerations. The module Environmental Aspects belongs to this competence area, too. Two advanced laboratory courses with a total of 18 experiments (12 in Environmental Aspects and 6 in Energy Science IV) are included. In the competence area Physics and Chemistry broad knowledge of the scientific and technological basics is gained during the first two years. This includes basic laboratory courses both in physics and chemistry. The subsequent modules Advanced Science I – III contain electives, by which the students can expand their scientific and technological background towards current research for an individual choice of subjects.


4

Curriculum Energy Science

Modules Ordered by Competence Area

Sem

este

r Energy Science (incl. Laboratory Courses)

Physics and Chemistry (incl. Laboratory Courses)

Theory (incl. Mathematical

Methods) Other Qualifications

Ʃ C

r

Module Cr Module Cr Module Cr Module Cr Module Cr Module Cr

1 General

Education 6

Physics I

9 Chemistry

I 6 Theory I 8 29

2 Physics

II 9

Chemistry II

7 Theory II 9 General Skills 6 31

3 Energy Science

I

3 Energy

Technology

4 Physics III

9

Theory III 10

30 4

4 3 4 Physics

IV 9 Theory IV 14 30

5*)

Energy Science

II 12 Advanced Science I 12

Studium Liberale

4 28

6*)

Energy Science

III 12

Environmental Aspects

10 Advanced Science II 6 4 32

7 Energy Science

IV 12

Advanced Science III 9 Theory V 6 Advanced Scientific Methods

5 32

8 Energy Science

V 12

4

28 Bachelor Thesis

12

Ʃ Cr

82 76 47 35 240

*) Integrated study year at a partner university abroad, here the programme offered by Budapest University of Technology and Economics

(BME)

In the competence area Theory the students acquire a deeper understanding of the natural laws, their approximations, their relations and their general structure. Each module gives also an introduction into the mathematical methods needed. Here, however, the focus is on how to apply these methods, rather than on their proof. Finally the competence area Other Qualifications gives, besides a programming and a language course, insight into a free choice of electives other than science or engineering. Moreover, the students demonstrate in an individual Bachelor thesis that they are able to apply insight and advanced scientific methods to a problem within the context of energy science, and to write a competent, consistent and comprehensible thesis about it within 12 weeks. Besides lectures, the study programme includes problem solving classes, three seminars and an industrial internship, where experience with scientific methods and also soft skills are gained.


5

1. Academic Year


6

Study programme Module Level (Ba/Ma)

Energy Science Ba

Scheduled Semester

Duration Type (P/WP/W) Credits

1 15 Weeks P 6

Admission requirements according to examination regulations

Recommended prerequisites

None

Courses belonging to the module:

Nr. Course Type SWS Workload Credits

I Introduction to Energy Science P 6 180 h 6

Sum (of type P and WP) 6 180 h 6

Learning achievements / competences

The students have achieved a general overview of the energy topic, including interdisciplinary aspects. They can depict the context of energy demand, available resources and a technical supply of energy in a sustainable manner.

Including the general skills

Awareness of the problem, willingness to differentiated opinion making by expertise.

Module examination(s)

Grade in I is also the module grade.

Weight of module grade in final grade

The better one of the module grades for ENERGY-B1-E2 and ENERGY-B3-ES1 enters the final grade with weight 12.

Module Module-Code

General Education ENERGY-B1-E2

Person responsible for the module Faculty

Dean of Studies of the Faculty of Physics Physics


7

Module Module-Code

General Education ENERGY-B1-E2

Course Course-Code

Introduction to Energy Science ENERGY-B1-E2-ES0

Lecturer Institute Type (P/WP/W)

Prof. Dr. Möller / Prof. Dr. Wolf Physics P

Scheduled Semester Frequency Language Group Size

1 WS German V: 30 / Üb: 20

SWS Classroom hours Private Studies Workload Credits

6 90 h 90 h 180 h 6 Cr

Type of course

Lecture (V: 4 SWS) and Tutorial (Üb: 2 SWS)


See module description.

Contents

Terms of energy; energy forms; entropy, exergy, energy sources; energy conversion, -transport, -storage. Technical supply of energy (out of fossil fuels, nuclear fission, fusion, renewable energy sources). Sustainability (resources, demand, environmentally relevant aspects)

Examination

Written examination (duration: 120 minutes).

Recommended reading

Diekmann, Heinloth: Energie: Physikal. Grundl. ihrer Erzeugung, Umwandlung und Nutzung

MacKay: Sustainable Energy – without the hot air

Further information

Prerequisites: Active and successful participation in the lectures and tutorials (not graded).


8

Module Module-Code

Chemistry I ENERGY-B1-CH1


Prof. Dr. Mayer Chemistry


Energy Science Ba

Scheduled Semester Duration Type (P/WP/W) Credits

1 15 Weeks P 6



None



I General Chemistry P 6 180 h 6



The students know the basic concepts of chemistry. They can declare chemical properties and chemical processes at the molecular level.


See above.


Written examination (duration: 45 - 120 minutes).


The better one of the module grades for ENERGY-B1-CH1 and ENERGY-B2-CH2 enters the final grade with weight 13.


9

Module Module-Code

Chemistry I ENERGY-B1-CH1

Course Course-Code

General Chemistry ENERGY-B1-CH1-AC


Lecturer of Chemistry Chemistry P

Scheduled Semester

Frequency Language Group Size



6 90 h 90 h 180 h 6 Cr

Type of course



Understanding and application of simple concepts of chemistry as well as explanation of chemical properties and chemical processes at the molecular level. Based upon basic knowledge application aspects should be explainable. For this purpose lecture topics will be delved in the Tutorials.

Contents

- Description of material states

- Methods of separation

- Chemical elements

- Mole concept and stoichiometry

- Atomic structure, atomic properties, periodic table of elements

- Prototypes of chemical bonds and models for their description

- Basics of the kinetics of simple reactions

- Acid-base reactions (proton transfer equilibria)

- Reduction-oxidation (electron-transfer equilibria)

- Thermodynamics of chemical reactions

- Basics and applications of electrochemistry

- Exemplary treatment of chemical reactivity: Development of reactivity trends against the background of the periodic table.

- Hydrogen compounds: Binding diversity and their reactivity range

- Halogens, prototypes of non-metals, typical reactivities of halogen compounds

- Alkali metals and their most important compounds and compound properties.

- Group 14: The transition from non-metals to metals

Examination



10

Recommended reading

Michael Binnewies / Manfred Jäckel / Helge Willner: Allgemeine und Anorganische Chemie (Spektrum Akademischer Verlag, München 2004) ISBN 3-8274-0208-5

Further information

Prerequisites: Active and successful participation in the lectures and tutorials. The criteria for successful participation will be determined by the lecturer at the beginning of the course.


11

Module Module-Code

Chemistry II ENERGY-B2-CH2


Prof. Dr. Mayer Chemistry


Energy Science Ba

Scheduled Semester Duration Type (P/WP/W) Credits

2 15 Weeks P 7



None ENERGY-B1-CH1



I Physical Chemistry P 3 120 h 4

II Energy Science Laboratory Course 3 P 3 90 h 3



The students know the basic concepts of chemistry and their border areas of physics, they can use this to solve simple tasks, apply them in the laboratory and make references to energy topic.


Safe working in the chemical laboratory.




The better one of the module grades for ENERGY-B1-CH1 and ENERGY-B2-CH2 enters the final grade with weight 13.


12

Module Module-Code


Course Course-Code

Physical Chemistry ENERGY-B2-CH2-PC



Scheduled Semester


2 SS German V: 45 / Üb: 15


3 45 h 75 h 120 h 4 Cr

Type of course



Basic understanding of physical-chemical relationships, concern the processes of energy generation and energy storage.

Contents

Thermodynamic concepts and definitions: Systems, equation of state, state function, total derivative.

First law: Work and heat, internal energy and enthalpy.

Second law and entropy, calculation of entropy change, temperature dependence of entropy.

Heat engine, Energy conversion efficiency, Carnot heat engine, heat pump.

Equilibria in closed systems: Free energy and free enthalpy, Van’t Hoff equation, characteristic function, Maxwell relations, Gibbs fundamental equation, chemical potential, Gibbs–Duhem equation.

Electrolyte equilibria, Electrochemical cells in equilibrium, electrochemical series, EMF, Nernst equation.

Chemical kinetics: Reaction order, Arrhenius's law.

Examination


Recommended reading

P.W. Atkins: Physikalische Chemie, VCH-Verlag.

T. Engel, P. Reid: Physikalische Chemie, Pearson.

Further information


13

Module Module-Code


Course Course-Code

Energy Science Laboratory Course 3 ENERGY-B2-CH2-EP



Scheduled Semester


2 SS German 15


3 45 h 45 h 90 h 3 Cr

Type of course

Pr


Knowledge of the function and correct handling of simple laboratory equipment including the correct installation of standard laboratory glassware, safe working in the chemical laboratory, dealing with laboratory waste, behavior with hazards in the laboratory, documentation of experiments in a laboratory notebook.

Contents

- Chemical unit operation: Weighing, volume measurement, separation (filtration, crystallization, sublimation, distillation)

- Qualitative analysis of chemical properties, e.g. solubility, hydrolysis behavior, buffer action, behavior of metals to water, acids and bases

- Analytical unit operations for material identification: Gravimetry, complexometric, volumetric analysis: acid-base and redox

- Syntheses

Examination

See Course ENERGY-B2-CH2-PC.

Recommended reading

Gerhart Jander, Ewald Blasius: Lehrbuch der analytischen und präparativen anorganischen Chemie (S. Hirzel, Stuttgart, 1995) ; UB: 35 UNP 1209

Further information

Prerequisites: Pre-admission tests and laboratory reports.


14

Module Module-Code

Physics I ENERGY-B1-PH1




Energy Science Ba

Scheduled Semester


1 15 Weeks P 9



None Study preparation course Mathematics / Physics



I General Physics 1a (Mechanics, Special Relativity, Fluid Dynamics)

P 6 180 h 6




Students can use the physical terms in the in I treated area properly, are familiar with the corresponding phenomena and comprehend simple mathematical problems and solve them independently. They can comprehend the concepts by means of self-contained experiments.


Time management techniques, learning strategies, communication- and transmitting techniques.


Written examination in I (graded), 6 laboratory reports in II (not graded). Grade in I is also the module grade.


The better one of the module grades for ENERGY-B1-PH1 und ENERGY-B2-PH2 enters the final grade with weight 18.


15

Module Module-Code


Course Course-Code

General Physics 1a (Mechanics, Special Relativity, Fluid Dynamics)

ENERGY-B1-PH1-GP


Lecturer of Physics Physics P




6 90 h 90 h 180 h 6 Cr

Type of course



The students can comprehend basic concepts of classical mechanics, special relativity theory and fluid mechanics, know the essential experiments and evaluate their results correctly. They are able to comprehend mathematically simple problems from this field and solve them independently.

Contents

Introduction

Working methods of physics, physical quantities, measurement system, vector quantities, presentation of physical connections

Mechanics of mass points

Mass point and trajectory, linear motion, velocity and acceleration, circular motion, general curvilinear motion, Newton's axioms, force and mass, application of Newton's equation of motion, slope throw, force and linear momentum, general formulation of the Newtonian equation of motion, torque and angular momentum, work and power, kinetic and potential energy, conservation of energy, law of gravitation, gravitational force and potential energy, planetary orbits, accelerated reference systems

Relativistic mechanics

Historical context, principle of relativity, Lorentz transformation, mass and momentum in the relativistic case, Lorentz transformation, mass and momentum in the relativistic case

Mass-point systems

Newton's equation of motion, conservation laws, short-range interactions, laws of collision


16

Rigid body

Rigid body as a system of mass points, statics of rigid bodies, dynamics of rigid body rotation about fixed axis, calculation of moments of inertia, examples for rotary motion about a fixed axis, work, power and kinetic energy in rotation about a fixed axis, conservation of angular momentum in a spatially fixed axis, rotation about axes free, gyro

Mechanical oscillations

Harmonic oscillations damped harmonic oscillations, forced harmonic oscillations, resonance, superposition of harmonic oscillations, coupled harmonic oscillations, molecular oscillations as an example of anharmonic oscillations.

Real solid and liquid matter

Deformation of solids and liquids, compressibility, hydrostatic pressure, Buoyancy, liquid interfaces, steady flow of ideal fluids, pressure measurement in flows, applications of Bernoulli's equation, steady flows of real fluids, turbulent flows

Examination

Written examination (duration: 45 - 120 minutes) (graded).

Recommended reading

Paul A. Tipler, Physik

R.A. Serway, Physics

M. Alonso und E.J. Finn, Physik

R.P. Feynmann, R.B. Leighton, and M. Sands, The Feynmann Lectures on Physics

Gerthsen, Kneser, Vogel, Physik,

W. Demtröder, Experimentalphysik I,

Scobel, Lindström, Langkau, Physik kompakt 1

K. Simonyi, Kulturgeschichte der Physik

James T. Cushing, Philosophical Concepts in Physics

Further information



17

Module Module-Code


Course Course-Code

Energy Science Laboratory Course 1 ENERGY-B1-PH1-EP


Prof. Dr. Farle Physics P


1 WS German 15 Groups a 2


3 45 h 45 h 90 h 3 Cr

Type of course

Pr


Students know physical experiment setups out of the basic area, can build them up professionally and use them. They can analyse and evaluate test readings and display the results in an appropriate manner.

Contents

Recommended Experiments from Basic Physics Lab 1b: A3, A4, A5, A6, A8 and A13.

Examination

Preparation, execution and analysis of 6 experiments, as well as making the

laboratory reports (not graded).

Recommended reading

Walcher: „Praktikum der Physik“

Eichler, Kronfeld, Sahm: „Das neue Physikalische Grundpraktikum“

Bergmann-Schäfer: „Experimentalphysik“

Further information

Will be given in the course.


18

Module Module-Code

Physics II ENERGY-B2-PH2




Energy Science Ba

Scheduled Semester


2 15 Weeks P 9



None ENERGY-B1-PH1



I General Physics 1b (Thermodynamics, Electro- und Magnetostatics)

P 6 180 h 6








Written examination in I (graded), 6 laboratory reports in II (not graded). Grade in I is also the module grade.


The better one of the module grades for ENERGY-B1-PH1 and ENERGY-B2-PH2 enters the final grade with weight 18.


19

Module Module-Code


Course Course-Code

General Physics 1b (Thermodynamics, Electro- und Magnetostatics)

ENERGY-B2-PH2- GP






6 90 h 90 h 180 h 6 Cr

Type of course



The students can comprehend basic concepts of thermodynamics, electrostatics and magnetostatics, know the essential experiments and evaluate their results correctly. They are able to comprehend mathematically simple problems from this field and solve them independently.

Contents

Thermodynamics

Preliminary observations and definitions of terms, amount of substance and particle number, temperature and thermometer, temperature scales, thermal expansion of solids liquids and gases, state equation of ideal gases, basic principles of the kinetic theory of gases, pressure, temperature and kinetic energy, internal energy of ideal gases, heat, quantity of heat and heat capacity, calorimetry, barometric formula and Boltzmann distribution, Maxwell–Boltzmann distribution

First law of thermodynamics

Changes to the ideal gas state, reversible and irreversible changes of state, special cyclic processes, heat pump and chiller

Second law of thermodynamics

The entropy, entropy changes in the ideal gas, entropy change in irreversible processes, states of matter and phases, coexistence of liquid and gas state, coexistence of solid and liquid or gas state, equation of state of real gases, liquefaction of gases: Joule–Thomson effect

Transport phenomena

Molecular diffusion, thermal conductivity, viscosity


20

Electricity

Electrostatics

Electric charge, Coulomb’s law, electric field, elementary charge, field strength and potential, conductor in the electric field, electric flux, dielectrics

Electric current

Charge transport and Ohm's law, microscopic interpretation, temperature dependence, Joule heat, continuity equation, Kirchhoff's circuit laws, charging and discharging of condensers, measurement of currents

Static magnetic fields

Basic experiments, magnetic force effect on electric charges, sources of the magnetic field, magnetic induction

Time-varying fields

Faraday's law of induction, displacement current, Maxwell's equations, Lenz's law, inductance, energy of the magnetic field

Alternating current circuits

Alternating current, alternating current circuit with complex impedances, complex impedances, linear networks, RLC circuits, rectification

Matter in the magnetic field

Magnetic susceptibility dia-, para- and ferromagnetism

Examination


Recommended reading

Siehe Literatur zu Physik I und Folgebände

Bergmann-Schäfer "Experimentalphysik

Further information



21

Module Module-Code


Course Course-Code





2 SS German 15 Groups a 2


3 45 h 45 h 90 h 3 Cr

Type of course

Pr



Contents

Recommended Experiments from General Physics 1b: B1, B3, B8, C1, C8/9 and C16.

Examination



Recommended reading


Eichler, Kronfeld, Sahm: „Das neue Physikalische Grundpraktikum“


Further information



22

Module Module-Code

Theory I ENERGY-B1-TH1




Energy Science Ba

Scheduled Semester


1 15 Weeks P 8



None Study preparation course Mathematics / Physics



I Newtonian Mechanics and Special Relativity

P 4 120 h 4

II Mathematical Methods of Newtonian Mechanics

P 4 120 h 4



Students are able to develop simple models for phenomena in the field of mechanics, to formulate simple mathematical models and to solve them analytically.


See above.


Written examination in I is also the module grade.


The better one of the module grades for ENERGY-B1-TH1 and ENERGY-B2-TH2 enters the final grade with weight 17.


23

Module Module-Code


Course Course-Code

Newtonian Mechanics and Special Relativity

ENERGY-B1-TH1-ME



Scheduled Semester




4 60 h 60 h 120 h 4 Cr

Type of course



The students know the basic concepts of classical mechanics of mass points and can apply them correctly and can draw conclusions using analytical methods.

Contents

Newtonian mechanics of mass points:

- One-dimensional motion, kinetic and potential energy, Conservation of energy, (damped and driven) harmonic oscillator. Dimensional analysis.

- Multi dimensional movement. Accelerated reference systems (Coriolis and centrifugal force).

- Movement in the central field, angular momentum

- Two-body problem, conservation of momentum, basic concepts of scattering theory

[Special relativity:

Lorentz transformation, space-time graphs, relativistic dynamics.]

Examination

Written examination (duration: 45 - 120 minutes)

Recommended reading

Nolting: Grundkurs theoretische Physik, Bd.1

Further information



24

Module Module-Code


Course Course-Code

Mathematical Methods of Newtonian Mechanics

ENERGY-B1-TH1-MA



Scheduled Semester




4 60 h 60 h 120 h 4 Cr

Type of course



The students cope with the mathematical methods that are required for ENERGY-B1-TH1-ME.

Contents

Limiting value, continuous function, continuity, differentiation and integration in one variable.

Taylor series expansions (one variable), geometric series, exponential series.

Ordinary differential equations of first and second order, separation of variables.

Complex numbers, functions of complex numbers, Euler's formula.

Vectors, dot product, cross product, scalar triple product, Kronecker and Levi-Civita symbol. Matrices, determinants, rotations, reflections, axial and polar vectors, linear systems of equations, eigenvalue problems.

Space curves, differentiation of vector-functions, arc length.

Examination

See course ENERGY-B1-TH1-ME.

Recommended reading

Nolting: Grundkurs theoretische Physik, Bd.1

Lang, Pucker: Mathematische Methoden der Physik

Further information



25

Module Module-Code

Theory II ENERGY-B2-TH2




Energy Science Ba

Scheduled Semester


2 15 Weeks P 9



None ENERGY-B1-TH1



I Advanced Mechanics P 4 120 h 4

II Mathematical Methods Advanced Mechanics P 4 120 h 4

III Computer Laboratory Course Advanced Mechanics

P 1 30 h 1



The students have the development of more abstract concepts of classical mechanics understood and can apply them correctly.


See above.






26

Module Module-Code


Course Course-Code

Advanced Mechanics ENERGY-B2-TH2-ME



Scheduled Semester




4 60 h 60 h 120 h 4 Cr

Type of course



Students know the structure of theoretical-mathematical models and the relative assets of different formulations of classical mechanics. They can apply the concepts adequately.

Contents

N-body problem, small oscillations (normal modes), virial theorem. Fluid dynamics (Navier-Stokes equations, Reynolds number. constraints, rigid body. D'Alembert principle, coercive forces. Hamilton principle, Euler-Lagrange equations, calculus of variations, continuous symmetries and conserved quantities. Hamiltonian mechanics, phase space, canonical transformations, Poisson brackets.

[Liouville theorem, basics of Hamilton-Jacobi theory and chaos theory]

Examination

Written examination (duration: 45 - 120 minutes)

Recommended reading

Nolting: Grundkurs theoretische Physik, Bd. 2

Goldstein, Poole, Safko: Klassische Mechanik

Landau, Lifshitz: Lehrbuch der Theoretischen Physik, Bd. 1

Kibble: Classical Mechanics

Further information



27

Module Module-Code


Course Course-Code

Mathematical Methods Advanced Mechanics ENERGY-B2-TH2-MA


Lecturer of Physics Physics

Scheduled Semester




4 60 h 60 h 120 h 4 Cr

Type of course



The students cope with the mathematical methods that are required for ENERGY-B2-TH2-ME.

Contents

Matrix diagonalization and linear stability analysis.

Differentiation, integration and Taylor expansion with several variables.

Parameterization of planes and volumes (spherical and cylindrical coordinates).

Scalar-, vector- and tensor fields, Del operator, gradient, divergence, rotation, Laplace operator, also exemplified in a spherical or cylindrical coordinates. Divergence theorem and Stokes' theorem.

Examination


Recommended reading


Further information



28

Module Module-Code


Course Course-Code

Computer Laboratory Course Advanced Mechanics

ENERGY-B2-TH2-CP



Scheduled Semester


2 SS German 20


1 15 h 15 h 30 h 1 Cr

Type of course

Practice in the computer laboratory.


The students can use computers for problem solving and illustration in the field of mechanics.

Contents

6 programming assignment in the field of mechanics.

Examination


Recommended reading


Further information



29

Module Module-Code

General Skills ENERGY-B2-SQ


Lecturer of the University Duisburg Essen Physics


Energy Science Ba

Scheduled Semester


2 15 Weeks P 6



None

Courses belonging to the module1):


I Data Processing Course P 2 90 h 3

II Technical English Language Course WP 2 90 h 3

III English Language Course for Scientists WP 2 90 h 3

IV English Language Course for Physicists WP 2 90 h 3

V English Language Course for Chemists WP 2 90 h 3



Students can develop simple computer programs in C.

The students have expanded their knowledge in subject-specific English.


See above.


Active and successful participation.


Is not part of the final grade.

1) Additional elective courses can be added by the Examination Board.


30

Module Module-Code


Course Course-Code

Data Processing Course ENERGY-B2-SQ-DV



Scheduled Semester


2 SS German 20


2 30 h 60 h 90 h 3 Cr

Type of course

Practice in the computer laboratory.


Students can develop simple computer programs in C.

Contents

Numeric-oriented programming course in C.

Examination


Recommended reading


Further information


31

Module Module-Code


Course Course-Code

Language Course (one of Nr. II – V) ENERGY-B2-SQ-SK


Lecturer of the University Duisburg Essen IOS1) WP

Scheduled Semester


2 SS English 25


2 30 h 60 h 90 h 3 Cr

Type of course

Üb


The students have expanded their knowledge in subject-specific English.

Contents

Subject-specific language course in English.

Examination


Recommended reading


Further information

1)

Institute of Optional Studies


32

2. Academic Year


33


Energy Science Ba

Scheduled Semester


3 and 4 30 Weeks P 12



None Modules of the first two semesters



I Combustion Science WP 3 120 h 4

II Fluid Dynamics WP 3 120 h 4

III Renewable Energy Technology I WP 3 120 h 4

IV Thermodynamics I WP 3 120 h 4

V Electrical Energy Supply WP 3 120 h 4

VI Fuel Cell Systems

in decentralized Energy Supply

WP 3 120 h 4

VII Renewable Energy Technology II WP 3 120 h 4

VIII Thermodynamics II WP 3 120 h 4



The students are familiar with selected sub-areas of energy technology. They can apply basic knowledge to practical questions of the technical energy conversion.


Interdisciplinary communication skills in the engineering field.

Module Module-Code

Energy Technology ENERGY-B3-ET


Dean of Studies of the Faculty of Engineering Ingenieurswissenschaft.


34


Graded exams in three courses from the elective canon. For the module grade the arithmetic mean of the two best exam grades will be calculated and only the first decimal place after the point will be taken into account.


Enters the final grade with weight 12.


35

Module Module-Code

Energytechnology ENERGY-B3-ET

Course Course-Code

Combustion Science ENERGY-B3-ET-VB


Prof. Dr. Schulz Mechanical Engineering

WP

Scheduled Semester


3 WS German or English V: 180 / Üb: 60


3 45 h 75 h 120 h 4 Cr

Type of course



The students learn to explain and critically review the thermodynamical and kinetics background of high-temperature gas-phase reactions.

Contents

Combustion processes are typical high-temperature reactions that are present in a large number of practical applications that arrange from the energetic use of combustion to material synthesis.

The understanding of these processes strongly relies on chemical thermodynamics and chemical kinetics. The interaction between reaction and fluid flow is of special interest in reactive gas-phase processes with strong energy release.

High temperature gas-phase reactions require the fundamental understanding of radical reactions and complex reaction schemes. 1 Introduction 2 Results of Chemical Thermodynamics 3 Kinetics of Homogeneous and Heterogeneous Reactions 4 General flame phenomena and parameters of combustion technology 5 Theoretical description of reactive flows 6 Combustion waves in homogeneous premixed gases

Examination

Written examination (duration 90 minutes). Language is either German or English.

Recommended reading

P.W. Atkins, Physikalische Chemie, VCH

J. Warnatz, U. Maas, R.W. Dibble, Verbrennung, Springer, 2001

Further information

http://ti.uni-due.de/vdb/info.php?id=148&mode=dozent&PHPSESSID=c70fac19ce3b1ee8dcc28e09c148bf96


36

Module Module-Code


Course Course-Code

Fluid Dynamics ENERGY-B3-ET-FD


Prof. Dr.-Ing. von Lavante Mechanical Engineering

WP

Scheduled Semester




3 45 h 75 h 120 h 4 Cr

Type of course



Extended knowledge on fluid mechanics are presented in this lecture which enable a better understanding of more complex theoretical or experimental problems in fluids.

Contents

The lecture offers an extension to important problems of fluid dynamics and is divided in the following chapters:

· conservation equations of fluid dynamics conservation of mass, momentum and energy (Navier-Stokes equations) stress-strain relations, thermal and calorical equations of state

· similarity theory of fluids

· creeping flows

· potential flow

· boundary layer theory

· introduction to turbulent flows

· one-dimensional gasdynamics

Examination


Recommended reading


Further information

http://www.fb9dv.uni-duisburg.de/vdb/info.php?id=165&mode=dozent


37

Module Module-Code


Course Course-Code

Renewable Energy Technology I ENERGY-B3-ET-RE1


Prof. Dr. Heinzel Mechanical Engineering

WP

Scheduled Semester




3 45 h 75 h 120 h 4Cr

Type of course



The student understands the principles of energetic use of solar energy, knows technical details about construction and efficiency of conversion devices for solar energy (solar thermal collectors and PV) and is able to judge the technical and economical potential of solar energy use.

Contents

Focus of the lecture is the thermal and photovoltaic use of solar energy. Topics are the potential of solar radiation and its physical fundamentals, radiation balances, total radiation and measurement of solar irradiation. The conversion of solar radiation into thermal energy by thermal collectors, like flat collectors and concentrating collectors, the generation of high temperature heat by solar farm and tower power plants will be explained.

Photovoltaic generation if electricity is the second main topic, the energy band model of semiconductors, the functional principle of silicon solar cells, including construction principles, manufacturing and efficiency will be presented. Important is as well the optimization potential, thin film solar cells, other semiconductors, photovoltaic system technology. Finally, the technical and economical potential of thermal and photovoltaic use of solar energy will be discussed.

Examination


Recommended reading

Adolf Goetzberger, Volker Wittwer, „Sonnenenergie – Thermische Nutzung“ (Teubner)

Adolf Goetzberger, Bernhard Voß, Volker Wittwer, „Sonnenenergie: Photovoltaik“ (Teubner)

Martin Kaltschmitt, Andreas Wiese, „Erneuerbare Energien“ (Springer Verlag)

Manfred Kleemann, Michael Meliß, „Regenerative Energiequellen“ (Springer Verlag)



38

Further information


39

Module Module-Code


Course Course-Code

Thermodynamics I ENERGY-B3-ET-TD1


Dr. Pflitsch Mechanical Engineering

WP

Scheduled Semester




3 45 h 75 h 120 h 4 Cr

Type of course



The fundamentals of engineering thermodynamics will be introduced and applied to problems of energy conversion.

Contents

- Introduction/Motivation,

- Concepts/Definitions,

- Properties of a pure substance,

- Work and Heat.

- The first Law of Thermodynamics (Cycles, closed systems, open Systems, internal energy and enthalpy).

- The second law of Thermodynamics (Carnot-Cycle, closed systems, open systems).

- Entropy and related properties (Gibbs and Helmholtz function).

- Vapour Power cycles and refrigeration.

Upon successful completion of this course, students will have gained working knowledge of: Basic properties of thermodynamic systems, processes, and cycles. Understand the properties of pure substances, ideal gases, and be able to calculate unknown properties given known properties or to find them in steam tables.

Understand and be capable of calculating important parameters and unknowns in closed systems and control volumes using the first law of thermodynamics.

Understand the second law of thermodynamics and be capable of using the law to design systems and machines to perform thermodynamic operations for closed systems and control volumes.

Students should gain a good understanding of vapour power cycles.

Examination

Written examination (duration 120 minutes).


40

Recommended reading

R. E. Sonntag, C. Borgnakke, G. J. Van Wylen: Fundamentals of Thermodynamics (John Wiley & Sons 2003)

M. J. Moran, H. N. Shapiro: Fundamentals of Engineering Thermodynamics (John Wiley & Sons 2003)

Sandler, Stanley I.: Chemical and Engineering Thermodynamics (John Wiley & Sons 2006)

P.W. Atkins: Physical Chemistry (Oxford University Press 1998).

Further information


41

Module Module-Code


Course Course-Code

Electrical Energy Supply ENERGY-B3-ET-EE


Prof. Dr.-Ing. Erlich Electrical Engineering

WP

Scheduled Semester


4 SS German or English V: 180 / Pr: 60


3 45 h 75 h 120 h 4 Cr

Type of course

Lecture (V: 2 SWS) and laboratory course (Pr: 1 SWS)


Students know the basic structure and operation of electrical power systems. They know the most important elements such as transmission lines, transformers, generators etc. and the corresponding mathematical descriptions.

Contents

The lecture deals with the components, design and main functions of electrical power systems. At the beginning the structure of the system will be explain. Then, the common construction of lines, cables, transformers, generators and switchgear are described. Also mathematical descriptions are given to develop and discuss operational issues. Computer-based methods will be introduced for solving power flow and short circuit problems. Some aspects of network protections will be discussed too. The objective of the lecture is to enable students treating problems of power system engineering.

Examination


Recommended reading

D. Oeding, B.R. Oswald: Elektrische Kraftwerke und Netze. Springer Verlag Berlin, 2004

V. Crastan: Elektrische Energieversorgung 1, Springer Verlag 2000, ISBN 3-540-64193-9

K. Heuck, K.-D. Dettmann: Elektrische Energieversorgung, Vieweg-Verlag 1999, ISBN 3-528-48547-7

Further information


42

Module Module-Code


Course Course-Code

Fuel Cell Systems

in decentralized Energy Supply

ENERGY-B3-ET-BZ



WP

Scheduled Semester


4 SS German or English V: 180 / Pr: 60


3 45 h 75 h 120 h 4 Cr

Type of course

Lecture (V: 2 SWS) and laboratory course (Pr: 1 SWS)


The students understand fuel cell and hydrogen technology and are able to judge advantages and disadvantages of these new energy options in comparison to established technologies. The students are able to transfer this knowledge to new questions related to energy systems. The potential increase in energy efficiency and economical and political conditions are understood.

Contents

Electricity generation and storage by electrochemical devices like batteries and fuel cells is the main focus of this lecture.

The different types of fuel cells being in development ranging from membrane fuel cells with typical operation temperatures of 80°C to solid oxide fuel cells for 1000°C are presented. Closely connected with fuel cell technology is the hydrogen technology.

Thus, hydrogen generation via the various possible pathways for the different applications of fuel cell systems are described. The range of applications are combined heat and power supply in stationary systems, electric traction and power supply for remote and portable applications.

Fuel cell systems are compared to other innovative energy converters, like micro gas turbines or Stirling engines. The contents are deepened in a practical exercise.

Examination



43

Recommended reading

Electrochemics and Batteries:

Hamann/Vielstich, „Elektrochemie“ (Wiley, Weinheim 1998)

Hydrogen Technology:

„Electrochemical Hydrogen Technologies“ Ed.: H. Wendt (Elsevier, Amsterdam 1990)

Fuel Cells:

Kordesch/Simader „Fuel Cells and their applications“ (VCH Weinheim 1996)

Heinzel/Mahlendorf/Roes „Brennstoffzellen“ (C.F. Müller Heidelberg 2005)

Larminie/Dicks „Fuel Cell Systems explained“ (Wiley, Chichester 2000)

Handbook of Fuel Cells (Wiley 2003)

Krewitt/Pehnt/Fischedick/Temming „Brennstoffzellen in der Kraft-Wärme-Kopplung“ (Erich Schmitt-Verlag, Berlin 2004)

Brennstoffzellen und Mikro-KWK, ASUE Band 20 (Vulkan-Verlag 2001)

Energy data:

http://www.bmwi.de

http://www.bp.com

http://www.iea.org

Further information


44

Module Module-Code


Course Course-Code

Renewable Energy Technology II ENERGY-B3-ET-RE2



WP

Scheduled Semester


4 SS German or English V: 180 / Üb: 60


3 45 h 75 h 120 h 4 Cr

Type of course



The students are able to judge regenerative energy systems on basis of wind and water power, biomass and geothermal energy with respect to technology and economics. The future potential and the state-of-the-art are known.

Contents

The physical and technical fundamentals of wind energy conversion like power density of wind, measurement of wind speed and wind energy conversion principles will be explained. For water power, the relevant topics are construction principles and components, especially types of turbines, and pumped storage stations as well as energy conversion of tidal and ocean current and waves. The different types of geothermal energy (near surface, hydrothermal, hot dry rock) and biomass are further main foci, including combustion and gasification technology, fermentation for ethanol and biogas generation. For each of these technologies, the achieved state-of-the-art will be presented, the future technical and economical potential will be discussed.

Examination


Recommended reading

M. Kaltschmitt, A. Wiese, „Erneuerbare Energien“ (Springer)

M. Kleemann, M. Meliß, „Regenerative Energiequellen“ (Springer)

J. Fricke, W. Borst, „ Energie – Ein Lehrbuch der physikalischen Grundlagen“ (Oldenbourg)

Further information



45

Module Module-Code


Course Course-Code

Thermodynamics II ENERGY-B3-ET-TD2


Prof. Dr. Atakan Mechanical Engineering

WP

Scheduled Semester


4 SS German or English V: 180 / Üb: 60


3 45 h 75 h 120 h 4 Cr

Type of course



The fundamentals of thermodynamics, introduced in the first part of this lecture, will be applied more extensively to idealized technical systems and an introduction to chemical thermodynamics and heat transfer will be given.

Contents

Recapitulation of the first course, availability (Exergy), gas power cycles, properties of simple mixtures, mixtures of ideal gases and vapors (humid air), thermodynamics of chemical reactions and the third law (Combustion), Chemical Equilibrium, Basic heat transfer.

Upon successful completion of this course, students will have gained working knowledge of: The second law of thermodynamics and be capable of using the law to design systems and machines to perform thermodynamic operations for control volumes. The students should have a good understanding of the differences between vapor and gas cycles and should also have a sense of the most influential parameters for each type of cycle. The concepts to improve cycles using e.g. regenerative heaters or intercoolers should be understood and be rationalized using thermodynamic diagrams. The student should now be familiar with the availability concept, to quantify the quality of an energy source. The correlation between thermodynamics and the reduction of environmental pollution should be clear. The student should be able to calculate changes of state of systems with humid air and should be able to use the Mollier diagram to describe such processes. The thermodynamics of combustion processes should be well understood, so that adiabatic flame temperatures, enthalpies of combustion etc. for simple molecular fuels can be calculated. The fundamental modes of heat transfer should be understood. The students should be able to solve simple one dimensional steady state conduction problems, simple transient heat conduction problems as well as simple convection problems. With this knowledge the students should be able to follow the advanced lectures is process engineering, energy technology and combustion engines.

Examination



46

Recommended reading

See Thermodynamics I, ENERGY-B3-ET-TD1.

Further information


47

Module Module-Code

Energy Science I ENERGY-B3-ES1




Energy Science Ba

Scheduled Semester


3 and 4 30 Weeks P 6



None The eight modules of the first academic year.



I Energy Systems Compared 1 P 4 90 h 3

II Energy Systems Compared 2 P 2 90 h 3



Students can compare different energy systems to each other and thereby identify the advantages and disadvantages. They can deal with critical scenarios for future energy supply. Students are able to acquire facts about an energy system independently and to evaluate them and present in English.


Presentation skills, ability to speak in subject-specific English.


Seminar talk in English


The better one of the module grades for ENERGY-B1-E2 and ENERGY-B3-ES1 enters the final grade with weight 12.


48

Module Module-Code


Course Course-Code

Energy Systems Compared 1 ENERGY-B3-ES1-EV




3 WS German and English 30


4 60 h 30 h 90 h 3 Cr

Type of course

Colloquium, if applicable Excursion.


The students apply a critical look at present and future energy systems

Contents

Internal and external experts will present various forms of technical provision of energy, its storage and efficient use and the related sustainability aspects. The aim is an open, interdisciplinary, scientific discourse. On the threshold of advanced studies, wide range of specializations is presented.

Examination

See course ENERGY-B3-ES1-EC.

Recommended reading


Further information


49

Module Module-Code


Course Course-Code

Energy Systems Compared 2 ENERGY-B3-ES1-EC




4 SS Englisch 30


2 30 h 60 h 90 h 3 Cr

Type of course

Se


The students can form independently scientifically sound opinion on the energy issue. They are for the year abroad (5th and 6th semester) prepared to communicate in English.

Contents

Each student will give a talk in English on the energy issue that will be discussed subsequently in English.

Examination

Seminar talk, including a written elaboration in English.

Recommended reading

Will be allocated individually.

Further information


50

Module Module-Code

Physics III ENERGY-B3-PH3




Energy Science Ba

Scheduled Semester


3 15 Weeks P 9



None ENERGY-B2-PH2



I General Physics 2a (Electromagnetic Waves, Optics, Light Waves and Matter Waves)

P 6 180 h 6








Written examination in I (graded), 6 Laboratory reports in II (not graded). Grade in I is also the module grade.




51

Module Module-Code


Course Course-Code

General Physics 3 (Electromagnetic Waves, Optics, Light Waves and Matter Waves)

ENERGY-B3-PH3-GP


Lecturer of Experimental Physics Physics P




6 90 h 90 h 180 h 6 Cr

Type of course



The students can comprehend basic concepts of electromagnetic waves, optics, light waves and matter waves, know the essential experiments and evaluate their results correctly. They are able to comprehend mathematically simple problems from this field and solve them independently

Contents

Harmonic waves in space

Basics and definitions, the Huygens–Fresnel principle of wave propagation reflection and refraction, diffraction at a slit, reflection and refraction, diffraction at a slit, diffraction at a circular aperture, Interference: superposition of two spherical waves, multiple plane waves, diffraction gratings, Babinet's principle, diffraction and Fourier transform, wave propagation in dispersive media.

Electromagnetic waves

Existence and fundamental properties, energy transport by electromagnetic waves, reflection and transmission of electromagnetic waves, electromagnetic waves in homogeneous, isotropic, neutral and conductive materials, interaction of electromagnetic waves in metals, transmission of signals by wire, Doppler effect and aberration in electromagnetic waves, generation of electromagnetic waves

Optics

Geometrical optics, interference phenomena, influence of diffraction on the resolution of optical imaging instruments, polarization phenomena

Quantum nature of electromagnetic radiation

Blackbody radiation, specific heat of solid substances, interaction of electromagnetic radiation with matter: photoelectric effect, Compton effect, pair effect, photon

Wave nature of particle

De Broglie hypothesis, experiments for the detection of matter waves, description of matter waves, wave packets


52

Examination

Written examination (duration: 45 - 120 Minutes) in I (graded).

Recommended reading

See course PHYSIK-B1-GR1 and sequels.

Further information

Prerequisites: Active and successful participation in the lectures and tutorials. The criteria for successful participationwill be determined by the lecturer at the beginning of the course.


53

Module Module-Code


Course Course-Code





3 WS German 15 Groups a 2


3 45 h 45 h 90 h 3 Cr

Type of course

Pr



Contents

Recommended experiments from General Physics 2a: D1, D4, D5 or D7, D8, D9, D16.

Examination



Recommended reading


Eichler, Kronfeld, Sahm: „Das neue Physikalische Grund-praktikum“


Further information



54

Module Module-Code

Physics IV ENERGY-B4-PH4




Energy Science Ba

Scheduled Semester


4 15 Weeks P 9



None ENERGY-B3-PH3



I General Physics 4 (Atomic and Molecular Physics, Quantum Phenomena)

P 6 180 h 6








Oral examination in I (graded), 6 Laboratory reports in II (not graded). Grade in I is also the module grade.




55

Module Module-Code


Course Course-Code

General Physics 4 (Atomic and Molecular Physics, Quantum Phenomena)

ENERGY-B4-PH4-GP






6 90 h 90 h 180 h 6 Cr

Type of course



The students can comprehend basic concepts of atomic and molecular physics, and quantum phenomena, know the essential experiments and evaluate their results correctly. They are able to comprehend mathematically simple problems from this field and solve them independently.

Contents

Limits of classical physics

Atomic structure of matter

Atomic and electron hypothesis, experimental methods for determining the Loschmidt number and the electron charge

Atomic spectra and atomic models

Atomic spectral lines, older atomic models (historical review), Bohr Model, Thomas-Fermi model.

Wave–particle duality and uncertainty principle

Wave–particle duality, uncertainty principle, example of energy-time uncertainty

Uncertainty principle and Ehrenfest theorem as the consequence of the axioms

Uncertainty principle, Ehrenfest theorem

Wave function

Repetition and summary, explanation of the concept of probability, wave function for describing of a quantum mechanical state, general case.

Solution of the Schrödinger equation in simple examples

Scattering of free particles in a potential step, tunneling through a potential barrier, square-well potential, bound states, one-dimensional harmonic oscillator, bound and unbound states, general.


56

The hydrogen atom, one-electron systems

Setting up and solving the Schrödinger equation, wave functions of the one-electron system, emission / absorption of electromagnetic radiation, selection rules for dipole radiation, Grotrian diagram

Magnetic dipole moment of the orbital angular momentum and spin of the electron

Orbital angular momentum and magnetic moment, Zeeman effect, spin and magnetic moment of the electron, Stern-Gerlach experiment and Einstein-de Haas effect, spin-orbit interaction, fine structure

More-electron atoms

Independent-particle model, central-field approximation, shielding of the nucleus potential by surrounding electrons, electrons as indistinguishable = identical particles, antisymmetric and symmetric wave function, exchange interaction, consideration of the electron spin, spatial wave function, spin wave function and total wave function, antisymmetry of the total wave function, electrons as fermions, Grotrian diagram of the He atom, Pauli principle, the ground states of many-electron atoms, periodic table of elements.

Molecular Physics

Chemical bond, LCAO method, binding and antibonding states, electronic structure, Born-Oppenheimer approximation, rotational and vibrational transitions, optical spectroscopy (qualitative)

Examination

Oral examination (duration: 15 - 60 Minutes) (graded).

Recommended reading

See course PHYSIK-B1-GR1 and sequels.

Further information

Prerequisites: Active and successful participation in the tutorials. The criteria for successful participation will be determined by the lecturer at the beginning of the course.


57

Module Module-Code


Course Course-Code





4 SS German 15 Groups a 2


3 45 h 45 h 90 h 3 Cr

Type of course

Pr



Contents

Recommended experiments from General Physics 2b: B7, B12, B13, C11, C13, C14 or C15.

Examination



Recommended reading


Eichler, Kronfeld, Sahm: „Das neue Physikalische Grund-praktikum“


Further information



58

Module Module-Code

Theory III ENERGY-B3-TH3




Energy Science Ba

Scheduled Semester


3 15 Weeks P 10



None ENERGY-B2-TH2



I Elektrodynamics P 4 150 h 5

II Mathematical Methods Elektrodynamics P 4 120 h 4

III Computer Laboratory Course Elektrodynamics P 1 30 h 1



Students know the origin and dynamics of electromagnetic fields. They can apply analytical methods of electrodynamics.


See above.






59

Module Module-Code


Course Course-Code

Elektrodynamics ENERGY-B3-TH3-ED


Lecturer of Theoretical Physics Physics P

Scheduled Semester




4 60 h 90 h 150 h 5 Cr

Type of course



Students know the origin and dynamics of electromagnetic fields. They can apply analytical methods of electrodynamics.

Contents

Maxwell equations, Lorentz force, scalar and vector potential, Poisson's and Laplace's equation, gauge invariance, CPT invariance, charge conservation, electrostatics and magnetostatics, Biot-Savart law, multipole expansion, image charges, field lines and symmetry, electromagnetic waves and radiation, electrodynamics in matter, energy- and momentum density of the electromagnetic field, Poynting's theorem.

[Relativistic formulation of electrodynamics: four-vectors, electromagnetic tensor]2

Examination


Recommended reading

Jackson: Klassische Elektrodynamik; Nolting: Grundkurs theoretische Physik, Bd. 3 und 4

Feynman: Lectures on Physics, Vol. 2 and Vol. 1 (Ch. 15-17, 28-34)

Further information



60

Module Module-Code


Course Course-Code

Mathematical Methods Elektrodynamics ENERGY-B3-TH3-MA



Scheduled Semester




4 60 h 60 h 120 h 4 Cr

Type of course



The students cope with the mathematical methods that are required for ENERGY-B3-TH3-ED.

Contents

Boundary value problems, Green's theorems.

Complex Analysis: Holomorphic functions, residue theorem, analytic continuation.

Distributions: delta function, Green's function. Fourier transformation.

Examination

See course ENERGY-B3-TH3-ED.

Recommended reading


Further information



61

Module Module-Code


Course Course-Code

Computer Laboratory Course Elektrodynamics ENERGY-B3-TH3-CP



Scheduled Semester


3 WS German 20


1 15 h 15 h 30 h 1 Cr

Type of course

Practice in the computer laboratory


The students can use computers for problem solving and illustration in the field of electrodynamics. They have a basic knowledge of MATHEMATICA.

Contents

6 programming assignment in the field of electrodynamics.

Examination


Recommended reading

Will be given in the laboratory course.

Further information



62

Module Module-Code

Theory IV ENERGY-B4-TH4




Energy Science Ba

Scheduled Semester


4 15 Weeks P 14



None ENERGY-B3-TH3



I Quantum Mechanics P 4 150 h 5

II Mathematical Methods Quantum Mechanics P 4 120 h 4

III Computer Laboratory Course Quantum Mechanics

P 1 30 h 1

IV Statistical Physics I P 4 120 h 4



Students know the conceptual difference between classical mechanics, quantum mechanics and statistical physics. They know the statistical foundation of thermodynamics and are able to apply them. They can apply analytical and computational methods in quantum mechanics.


See above.


Written examination in I, grade is also the module grade.




63

Module Module-Code


Course Course-Code

Quantum Mechanics ENERGY-B4-TH4-QM



Scheduled Semester




4 60 h 90 h 150 h 5 Cr

Type of course


Lernergebnisse / Kompetenzen

Students know the conceptual difference between classical mechanics and quantum mechanics. They can solve simple quantum mechanical problems by analytical methods.

Contents

Schrödinger equation, one dimensional examples (step, barrier box), Ehrenfest's theorem, observables (measured values and their probability, discrete and continuous spectrum, spectral representation, commutation relations, uncertainty principle), display changes, Dirac notation, time evolution (Schrödinger, Heisenberg and the interaction picture, energy-time uncertainty, conservation laws), algebra of the harmonic oscillator, angular momentum (orbital angular momentum, spin, total angular momentum), hydrogen atom, Pauli equations, approximation methods (time-independent and time-dependent perturbation theory, the Ritz variational method), potential scattering in the Born approximation, bosons and fermions.

Examination


Recommended reading

Schwabl: Quantenmechanik

Nolting: Grundkurs theoretische Physik, Bd. 5

Schiff: Quantum Mechanics

Cohen-Tannoudji, Diu, Laloé: Quantenmechanik, Bd. 1 und 2

Further information



64

Module Module-Code


Course Course-Code

Mathematical Methods Quantum Mechanics ENERGY-B4-TH4-MA



Scheduled Semester




4 60 h 60 h 120 h 4 Cr

Type of course



The students cope with the mathematical methods that are required for ENERGY-B4-TH4-QM. They know the basic concepts of probability theory.

Contents

Probability theory, Gaussian distribution, moments, statistical independence, the central limit theorem, correlation functions.

Hilbert space theory, function space L2, Complete Orthogonal System, unitary and self-adjoint operators, commutators, Schwarz inequality, eigenvalues and eigenvectors of selfadjoint operators, projection operators, spectral representation.

Examination

See course ENERGY-B4-TH4-QM.

Recommended reading


Further information



65


Course Course-Code

Computer Laboratory Course Quantum Mechanics

ENERGY-B4-TH4-CP



Scheduled Semester




1 15 h 15 h 30 h 1 Cr

Type of course

Practice in the computer laboratory


The students can use computers for problem solving and illustration in the field of quantum mechanics.

Contents

6 programming assignment in the field of quantum mechanics.

Examination


Recommended reading


Further information



66

Module Module-Code


Course Course-Code

Statistical Physics I ENERGY-B4-TH4-SP



Scheduled Semester




4 60 h 60 h 120 h 4 Cr

Type of course



The students are able to distinguish the status of probability in quantum mechanics and statistical physics. They know the statistical foundation of thermodynamics and can apply them.

Contents

Classical Statistical Physics: phase-space distributions, Liouville equation, the equilibrium ensemble, relative fluctuation of the extensive quantities, entropy, thermodynamic potentials, laws of thermodynamics and thermodynamic relations, equipartition theorem, classical ideal gas, van der Waals theory, phase transitions (mean field approximation).

Examination


Recommended reading

Schwabl: Statistische Mechanik

Brenig: Statistische Theorie der Wärme

Reif: Statistical Physics

Landau, Lifshitz: Lehrbuch der Theoretischen Physik, Bd. 5

Further information



67

3. Academic Year

(Year of studies

abroad: here at BME)


68


Energy Science Ba

Scheduled Semester Duration Type of Module (P/WP/W)

Credits

5 15 weeks P 12



None See cooperation agreement with BME



I Nuclear Physics P 4 150 h 5

II Nuclear Measurement Techniques P 2 90 h 3

III Plasma Physics P 4 120 h 4

Sum (of type P or WP) 10 360 h 12


The students are familiar with the principles of experimental and theoretical nuclear physics, plasma physics, the fundamentals of nuclear particle detection and the construction and operation principles of the most widespread reactor types.


International communication skills.


The module examination consist of one written or oral course examination for each of the courses I - III, as specified for the respective courses. The module grade is the weighted average of the above three grades. The weight is the number of credits for the respective course.


The better one of the module grades for ENERGY-B5-ES2 and ENERGY-B6-ES3 enters the final grade with weight 24.

Module Module-Code

Energy Science II ENERGY-B5-ES2


Prof. Aszodi, Prof. Czifrus (Budapest University of Technology and Economics (BME))

Natural Sciences


69

Module Module-Code


Course Course-Code

Nuclear Physics ENERGY-B5-ES2-NP

Lecturer Institute Type(P/WP/W)

Members of the Institute of Nuclear Techniques (NTI) NTI P


5 WS English 10 – 20


4 60 h 90 h 150 h 5 Cr

Type of course



The students will know and be able to put into perspective the fundamental concepts of experimental and theoretical nuclear physics.

Contents

Stability of the nucleus, mass defect, semi-empirical binding energy formula,

nuclear models, nuclear forces, types and theory of radioactive decay, types of nuclear reactions,

cross section and its energy dependence, interaction of radiations with matter,

slowing down of neutrons, mechanism of fission and fusion,

main types of accelerators

Examination

Written (duration: 45 - 120 minutes) or oral examination (duration: 15 - 60 minutes). Which form is chosen, will be mandatorily determined by the lecturer at the beginning of the course.

Recommended reading


Further information

None


70

Module Module-Code


Course Course-Code

Nuclear Measurement Techniques ENERGY-B5-ES2-NM




5 WS English 10 - 20


2 30 h 60 h 90 h 3 Cr

Type of course



The students know and are able to apply the methods of nuclear particle detection.

Contents

General characterization of nuclear detectors, modes of operation, efficiency, resolution,

gas ionization detectors, scintillation detectors, semiconductor detectors, fields of application, detectors applied in NPPs, special detectors,

principles of gamma and alpha spectroscopy, nuclear electronics,

dedicated measuring techniques, evaluation of measurements.

Examination


Recommended reading


Further information

None


71

Module Module-Code


Course Course-Code

Plasma Physics ENERGY-B5-ES2-PP




5 SS English 10 - 20


4 60 h 60 h 120 h 4 Cr

Type of course



The students know the fundamental concepts, theory and equations of plasma physics and are familiar with the plasma diagnostic and measurement methods.

Contents

Energy generation, construction of fusion reactors, Lawson criterion, fundamental equations, inertial fusion, thermodynamic equilibrium, ionization and radioactive processes in the plasma,

magnetic confinement: configurations, particle collisions in plasma, transport, theory of magnetic plasma, kinetic theory, MHD, plasma waves, equilibrium and instabilities in magnetically confined plasma, plasma diagnostics, measuring methods, current results, achievements.

Examination


Recommended reading

Will be given in the course

Further information

None


72

Module Module-Code

Energy Science III ENERGY-B6-ES3



Natural Sciences


Energy Science Ba


Credits

6 15 weeks P 12



None ENERGY-B5-ES2



I Fusion Devices P 2 60 h 2

II Thermal Hydraulics P 4 120 h 4

III Reactor Physics P 4 120 h 4

IV Reactor Technology P 2 60 h 2



The students know the fundamentals of reactor physics and thermal hydraulics. They are familiar with the different power plant reactor types and fusion devices.


Openness for cultural differences in the attitude towards technologies.


The module examination consist of one written or oral course examination for each of the courses I - IV, as specified for the respective courses. The module grade is the weighted average of the above four grades. The weight is the number of credits for the respective course.




73

Module Module-Code


Course Course-Code

Fusion Devices ENERGY-B6-ES3-FD






2 30 h 30 h 60 h 2 Cr

Type of course



The students are familiar with the construction and operational principles of fusion devices, the main components and the research directions.

Contents

Technological systems for the realization of fusion energy generation,

history of devices,

detailed description of the design concepts,

construction, operation, main components, major auxiliary systems of ASDEX-Upgrade,

JET and ITER tokamaks and Wendelstein-7x stellarator;

the most important new research directions.

Examination


Recommended reading


Further information

None


74

Module Module-Code


Course Course-Code

Thermal Hydraulics ENERGY-B6-ES3-TH






4 60 h 60 h 120 h 4 Cr

Type of course



The students know and are able to put into perspective the fundamental concepts of thermal hydraulics, with special emphasis on reactor safety.

Contents

Technological realization of heat removal for different reactor types; distribution of heat source; differential equation of heat conduction, solutions;

hydraulics system of equations, heat transfer, boiling, instabilities, DNBR;

two-phase flow;

temperature distribution of fuel, clad and coolant;

reactor safety, design base accidents, thermal limits, thermal-hydraulics codes.

Examination


Recommended reading


Further information

None


75

Module Module-Code


Course Course-Code

Reactor Physics ENERGY-B5-ES3-RP






4 60 h 60 h 120 h 4 Cr

Type of course



The students know and are able to apply the principles and basic formulae of nuclear reactor theory.

Contents

Description of the neutron gas, Boltzmann transport equation, boundary conditions, concept of criticality, diffusion theory, one-group and multigroup approximations, time dependence, kinetics equation, neutron spectrum, slowing down theory, thermalization, fuel lattices, reactivity coefficients, burnup, numerical methods.

Examination


Recommended reading


Further information

None


76

Module Module-Code


Course Course-Code

Reactor Technology ENERGY-B6-ES3-RT






2 30 h 30 h 60 h 2 Cr

Type of course



The students are familiar with the power plant reactor types, their characteristics, main components and materials used for plant construction and fuel fabrication.

Contents

Structure of power plant reactors, main components. Power plant types.

Possible technological schemes. Fuel and assembly types, materials.

Pressurized water reactors. Traditional and advanced PWRs. Boiling water reactors. Heavy water reactors. Other types.

Typical data of power reactors. Structural materials. Reactivity compensating materials. Shielding materials. Radiation damage.

Examination


Recommended reading


Further information

None


77

Module Module-Code

Environmental Aspects ENERGY-B6-EA



Natural Sciences


Energy Science Ba


Credits

6 15 weeks P 10



None ENERGY-B5-ES2



I Radiation Protection P 2 60 h 2

II Nuclear Safety P 2 60 h 2

III Radioactive Waste Treatment P 2 60 h 2

IV Advanced Laboratory Course 1 P 4 120 h 4



The students are familiar with the principles of radiation protection and their application for the management of radioactive waste; they know the important concepts and implications of nuclear safety and are able to apply the basic principles learnt in ENERGY-B5-ES2.


How to assess and deal with technological risks rationally.


The module examination consist of one written or oral course examination for each of the courses I - III, as specified for the respective courses, and the grade obtained in course IV. The module grade is the weighted average of the above four grades. The weight is the number of credits for the respective course.


The module grade for ENERGY-B6-EA enters the final grade with weight 10.


78

Module Module-Code


Course Course-Code

Radiation Protection ENERGY-B6-EA-RP






2 30 h 30 h 60 h 2 Cr

Type of course

V


The students are familiar with the effects caused by radiation and the principles of the protection against different types of radiation.

Contents

Physical, biochemical and biological effects of ionizing radiation.

Dose concepts. Radionuclides in living organisms.

Principles of radiation protection. Regulations, limitations. Calculation and measurement of dose. Shielding. Accident management.

Natural and artificial sources of radiation dose.

Examination


Recommended reading


Further information

None


79

Module Module-Code


Course Course-Code

Nuclear Safety ENERGY-B6-EA-NS




6 SS English 10 – 20


2 30 h 30 h 60 h 2 Cr

Type of course

V


The students are familiar with the principles of the safe operation of nuclear installations

Contents

Concept and measurement of safety.

Deterministic and probabilistic safety assessment. Safety aspects of different NPP types. Nuclear safety research. Laws and regulations for the safe use of nuclear energy, international organizations.

Examination


Recommended reading


Further information

None


80

Module Module-Code


Course Course-Code

Radioactive Waste Treatment ENERGY-B6-EA-RW




6 SS English 10 – 20


2 30 h 30 h 60 h 2 Cr

Type of course

V


The students know the concepts and principles related to the safe handling, management, transmutation and disposal of radioactive waste.

Contents

Definition, classification and qualification of waste.

Sources of radioactive waste, nuclear, industrial, medical sources.

Volume reduction and conditioning techniques. Analytical procedures. Long term risks of high level waste. Transmutation as a potential tool. Partitioning technologies. Interim and final storage. Propagation calculations.

Examination


Recommended reading


Further information

None


81

Module Module-Code


Course Course-Code

Advanced Laboratory Course 1 ENERGY-B6-EA-EP






4 60 h 60 h 120 h 4 Cr

Type of course

Pr


The students are able to apply the principles of nuclear and reactor physics, nuclear measurement techniques and thermal hydraulics.

Contents

6 laboratory exercises in the training reactor related to reactor physics and nuclear measurement technology, 4 simulator exercises related to reactor physics and thermal hydraulics and 2 thermal hydraulics measurements.

Examination

The students prepare and carry out 12 experiments. They analyse the measured data and document their results in a report. Each report is graded and the final grade of the course is the average of them.

Recommended reading


Further information

Instructions and regulations of entering the Training Reactor.


82

Module Module-Code

Advanced Science I ENERGY-B5-AS1


Prof. Kertész, Prof. Szunyogh (Budapest University of Technology and Economics (BME))

Natural Sciences


Energy Science Ba


Credits

5 15 weeks P 12






I Solid State Physics I (exp) P 4 120 h 4

II Computational Physics (th) WP 3 90 h 3

III Atomic and Molecular Physics (th) WP 3 90 h 3

IV Dynamical Systems (th) WP 2 60 h 2

V Transport Phenomena (th) WP 2 60 h 2

VI Physical Optics (th) WP 4 150 h 5

VII Laser Technique (exp) WP 2 60 h 2

VIII Laser Physics (exp) WP 2 90 h 3

IX Spectroscopy and Structure of Matter (exp) WP 2 90 h 3

Sum (of type P or WP) 10 360 h 12 – 14

(exp) experimental physics (th) theoretical physics


The students understand and are able to apply the basic concepts of solid state physics. They begin to deepen their knowledge in selected areas of theoretical or experimental physics.


Students compose a portfolio of personal competences. They recognize personal strengths respectively deficiencies and decide accordingly about appropriate learning directions.


83


A choice of courses must be taken with a sum of 12 to 14 credits. The module examination consists of one written or oral examination for every course chosen. The module grade is a weighted average of the course grades, weight equals credits for the respective course.


The module grade enters the final grade with weight 12.


84

Module Module-Code


Course Course-Code

Solid State Physics I ENERGY-B5-AS1-SSP


Members of the Institute of Physics Physics P


5 WS English 10 – 20


4 60 h 60 h 120 h 4 Cr

Type of course



The students understand and are able to apply the basic concepts of solid state physics.

Contents

Symmetries of crystals, crystal structures, Bravais lattices. Theory of diffraction, structural factor, atomic scattering factor. X-Ray, electron and neutron scattering experiments. Lattice vibrations in harmonic approximation, dynamics matrix, normal coordinates, dispersion relation, state density.

Quantum description of lattice vibrations, energy and impulse of phonons, experimental measurement of the dispersion relation. Bose-Einstein statistics, heat capacity of solid bodies, Debye approximation

Drude model of electrons, transport and optical properties. Fermi-Dirac statistics, heat capacity, magnetic susceptibility of an electron gas. Bloch electrons, band structure in the nearly free and tight binding approximation, effective mass.

Examination

Written (duration: 45 - 120 minutes) or oral examination (duration: 15 - 60 minutes), as determined by the lecturer at the beginning of the course.

Recommended reading

Charles Kittel: Introduction to Solid State Physics (Wiley, New York, 1986)

N. W. Ashcroft and N. D. Mermin: Solid State Physics (Saunders, Philadelphia, 1976)

Further information


85

Module Module-Code


Course Course-Code

Computational Physics ENERGY-B5-AS1-CP


Members of the Institute of Physics Physics WP




3 45 h 45 h 90 h 3 Cr

Type of course

Lecture (V: 2 SWS) and Project (Pj: 1 SWS)


The students have deepened their knowledge in theoretical and computational physics.

Contents

The course aims to show basic simulations techniques based on knowledge of statistical physics and programming. It starts with a summary of the main points of statistical physics (ensembles, averages, fluctuations, ideal gases, interacting systems, phase transitions, linear response theory, transport and stochastic processes).

Main subjects: Monte Carlo method (generating random numbers, importance sampling, Metropolis algorithm, boundary conditions, ensembles, averages, characteristic time). Phase transitions (finite size scaling, critical slowing, acceleration techniques). Algorithmic properties of discrete models (percolation, magnetic models, lattice gases, cell automates, growing models). Stochastic differential equations (classification, noise classes, methods, instabilities).

Molecular dynamics (interactions, solution techniques, ensembles, event driven molecular dynamics, instabilities)

Examination


Recommended reading

K. Binder (ed.): Monte Carlo Simulation in Statistical Physics (Springer, 1986)

D. Heermann: Computer Simulation in Theoretical Physics (Springer, 1990)

J.Kertész and I. Kondor (eds.): Advances in Computer Simulation (Springer, 1997)

W. Kinzel, G. Reents, M. Clajus, B.Freeland-Clajus: Physics by Computer (Springer, 1997)

Further information


86

Module Module-Code


Course Course-Code

Atomic and Molecular Physics ENERGY-B5-AS1-AM






3 45 h 45 h 90 h 3 Cr

Type of course



The students have deepened their knowledge in theoretical physics at the interface to chemistry.

Contents

Repetition of principles and relationships in quantum mechanics (harmonic oscillator, momentum, Hydrogen atom, spin, scattering, perturbation, movement in electromagnetic field, relativistic quantummechanics).

Based on the above principles the course shows the basics of the following subjects:

Schrödinger equations of many-body systems, Born-Oppenheimer approximation, Hartree-Fock method, Roothaan equations, basis functions, electron system of atoms, group theory and properties of wave function symmetry, density matrix, virialtheorem, Hellmann-Feynman theorem, electron system of molecules, density functional method.

Examination


Recommended reading


Further information


87

Module Module-Code


Course Course-Code

Dynamical Systems ENERGY-B5-AS1-DS






2 30 h 30 h 60 h 2 Cr

Type of course

V


The students have deepened their knowledge in theoretical physics.

Contents

This course studies the qualitative behavior of deterministic models applied in various fields of natural sciences like physics, chemistry or biology. Within this topic the course deals with systems which can be described by ordinary differential equations and maps.

The following subjects are discussed:

the Lotka-Volterra and the Brusselator model, conservative and limit cycle oscillations, attractors and bifurcations of dissipative systems, local and global stability, the logistic map, Lyapunov exponent, chaos.

Examination


Recommended reading

J.M.T. Thompson, H.B. Stewart: Nonlinear Dynamics and Chaos ( Wiley 1986)

P. Gray, S.K. Scott: Chemical Oscillations and Instabilities (Clarendon, Oxford, 1994)

Further information


88

Module Module-Code


Course Course-Code

Transport Phenomena ENERGY-B5-AS1-TP


Members of the Institute of Physics Physics




2 30 h 30 h 60 h 2 Cr

Type of course

V



Contents

During physical and chemical processes various quantities are transported and the understanding of these processes is important for the practice.

The following topics are covered:

balance equations, equations of state, constitutive equations, conservation laws, mass and component balances, balance of the internal energy, Fourier’s law, equation of heat conduction and its analytical solutions, Green-function, diffusion, membranes, thermo-diffusion, multi-component diffusion, chemical reactions.

Examination


Recommended reading

H. S. Carslaw, J. C. Jaeger: Conduction of heat in solids (Clarendon, Oxford, 1959)

M. Mulder: Basic principles of membrane technology (Kluwer Academic, 1992)

J. Crank: The mathematics of diffusion (Clarendon, Oxford, 1975)

Further information


89

Module Module-Code


Course Course-Code

Physical Optics ENERGY-B5-AS1-PO






4 60 h 90 h 150 h 5 Cr

Type of course

V



Contents

The main goal of the course is to introduce modern light propagation models and to practice their use for the description of basic optical phenomena.

Based on the classical electromagnetic wave theory the following topics are discussed:

propagation in homogenous isotropic and anisotropic media, optical thin films, dielectric waveguides, geometrical optics and Fresnel-Kirchhoff diffraction theory.

Examination


Recommended reading

Born, Wolf: Principles of Optics (Pergamon Press)

Saleh, Teich: Fundamentals of Photonics (John Wiley & Sons, Inc. 1991).

Further information


90

Module Module-Code


Course Course-Code

Laser Technique ENERGY-B5-AS1-LT






2 30 h 30 h 60 h 2 Cr

Type of course

V


The students have deepened their knowledge in experimental physics.

Contents

Light – matter interaction. Line-broadening mechanisms. Pumping processes. Saturated homogeneous and inhomogeneous coherent amplifier. Optical resonators and resonator modes. Gaussian-beams. Laser operation: gain and phase condition. Pulsed laser operation. Properties of laser beams: bandwidth, coherence, directionality and brightness. Laser types and laser applications.

Examination


Recommended reading

Saleh, Teich: Fundamentals of Photonics (John Wiley & Sons, Inc. 1991)

Further information


91

Module Module-Code


Course Course-Code

Laser Physics ENERGY-B5-AS1-LP


Members of the Institute of Physics Physics




2 30 h 60 h 90 h 3 Cr

Type of course

V



Contents

This course is the continuation of the Laser technique course.

Semi-classical and quantum theory of the laser. Frequency and bandwidth of the laser modes. Second harmonic generation, non-linear polarization, phase matching, parametric oscillation. Ultra short pulses. Mode synchronization, pulse compression, chirped mirrors. Fiber lasers and solitons. Tunable ultra short pulses. Pulse shaping. Generation and measurement of TW ultra short and attosec pulses.

Examination


Recommended reading

O. Svelto: Principles of lasers (Springer 1998)

W. Demtröder: Laser Spectroscopy, Vol. 2: Experimental Techniques (Springer 2008)

Further information


92

Module Module-Code


Course Course-Code

Spectroscopy and Structure of Matter ENERGY-B5-AS1-SSM






2 30 h 60 h 90 h 3 Cr

Type of course

V



Contents

This course combines elements of electrodynamics of media, quantum mechanics, group theory, statistical physics, optics, optical measurement techniques regarding the use of spectroscopy in materials characterization and structure elucidation.

The methods covered are mainly optical techniques (infrared and visible/UV absorption and reflectance spectroscopy, Raman scattering, ellipsometry, optical rotation dispersion, circular dichroism) but other topics, as excitations of inner shells (X-ray and photoelectron spectroscopy, Mössbauer spectroscopy) will also be mentioned.

The purpose of the course is to prepare the students to decide which spectroscopic methods to use for a given specific problem, and to be able to basically interpret the results.

Examination


Recommended reading

G. R. Fowles: Introduction to Modern Optics (Dover, 1989)

F. Wooten: Optical Properties of Solids (Academic Press, 1972)

H. Kuzmany: Solid State Spectroscopy, an Introduction (Springer, Berlin, Heidelberg, 1998).

Further information


93

Module Module-Code

Advanced Science II ENERGY-B6-AS2



Natural Sciences


Energy Science Ba


Credits

6 15 weeks P 6






I Seminar P 2 90 h 3

II Scaling and Criticality (th) WP 2 90 h 3

III New Experiments in Nanophysics (exp) WP 2 90 h 3

IV Crystalline and Amorphous Materials (exp) WP 2 90 h 3

V Optical Spectroscopy (exp) WP 2 90 h 3

VI Wavelets, Coherent States and Multiresolution Analysis (th)

WP 2 90 h 3

VII Solid State Physics II (th) WP 2 90 h 3

Sum (of type P or WP) 180 h 6

(exp) experimental physics (th) theoretical physics


The students have gained experience in preparing and presenting a comprehensible talk on a scientific subject to a foreign audience. They have deepened their knowledge in selected scientific areas.


Teamwork. Ability to grasp the essence while listening to a presentation and participate in the subsequent discussion.


94


The module examination consists of a seminar presentation and a written or oral examination on one course chosen from II - VII. The module grade is the average of the two grades.




95

Module Module-Code


Course Course-Code

Seminar ENERGY-B6-AS2-SE






2 30 h 60 h 90 h 3 Cr

Type of course

Se


The students have gained experience in preparing and presenting a comprehensible talk on a scientific subject to a foreign audience.

Contents

Various modern scientific subjects.

Examination

Seminar presentation in English.

Recommended reading

Will be given to the student.

Further information


96

Module Module-Code


Course Course-Code

Scaling and Criticality ENERGY-B6-AS2-SC






2 30 h 60 h 90 h 3 Cr

Type of course

V



Contents

Understanding critical phenomena and their connection to renormalization group belongs to the basic knowledge of modern solid state physicists. The course builds upon statistical physics and quantum mechanics courses and introduces the notions of scale invariance and renormalization group while avoiding the usual heavy field theoretical formalism.

The course is organized along the following topics:

critical phenomena (simple systems, universality, mean field theory), the renormalization group (the one-dimensional Ising model, Wilson’s renormalization group transformation, fixed points, critical dimensions, correlation functions), phase diagrams and scaling (cross-over phenomena, finite size scaling, dimensional cross-overs, quantum criticality), the perturbative scaling approach (fixed point Hamiltonian, operator product expansion, epsilon-expansion, anisotropy), low-dimensional systems (lower critical dimension, the XY model, Kosterlitz-Thouless phase transition, the O(n) model in 2+ ε.

Examination


Recommended reading

John Cardy: Scaling and Renormalization in Statistical Physics, (Cambridge University Press, 1997)

N. Goldenfeld: Lectures on phase transitions and the renormalization group, (Addison-Wesley, 1992).

Further information


97

Module Module-Code


Course Course-Code

New Experiments in Nanophysics ENERGY-B6-AS2-NP






2 30 h 60 h 90 h 3 Cr

Type of course

V



Contents

On the nano-scale the coherent behavior and interaction of the electrons, and the atomic granularity of the matter cause various striking phenomena, which are widely investigated in the research field of nanophysics. The course gives an overview of recent fundamental achievements in nanophysics focusing on the demonstration and understanding of recent experimental results.

The following topics are discussed:

fabrication of semiconductor nanostructures; nanowires; Interference-phenomena in nanostructures; Shot noise; Quantized Hall effect; Quantum dots; Superconducting nanostructures, proximity effect.

Examination


Recommended reading

S. Datta: Electronic Transport in Mesoscopic Systems (Cambridge University Press, 1997)

Thomas Ihn: Halbleiter Nanostrukturen (http://www.nanophys.ethz.ch/vorlesung/hlnano/)

Beenakker, van Houten: Quantum Transport in Semiconductor Nanostructures (http://xxx.lanl.gov/abs/cond-mat/0412664).

Further information


98

Module Module-Code


Course Course-Code

Crystalline and Amorphous Materials ENERGY-B6-AS2-CA






2 30 h 60 h 90 h 3 Cr

Type of course

V



Contents

Crystalline, amorphous and glassy states. Classifications of amorphous semiconductors and chalcogenide glasses. Preparations. Phillips theory.

Structure investigations: diffractions and computer modeling. Mott’s (8-N) rule. Electronic structures. DOS, Charge fluctuations, doping. Defects, dangling bonds, voids, coordination defects. Photoinduced effects. Optical properties.

Applications: solar cells, Xerox, DVD, etc. Equilibrium and non-equilibrium phases. Quenching, glass transition, kinetics. Structures of alloys. Methods. Electronic structure and magnetic properties of amorphous alloys.

Examination


Recommended reading

K. Morigaki: Physics of Amorphous Semiconductors (World Scientific, 1999)

Jai Singh, Koichi Shimakawa: Advances in Amorphous Semiconductors (Taylor and Francis, 2003)

Jai Singh: Optical Properties of Condensed Matter (Wiley, 2006).

Further information


99

Module Module-Code


Course Course-Code

Optical Spectroscopy ENERGY-B6-AS2-OS






2 30 h 60 h 90 h 3 Cr

Type of course

V



Contents

Electromagnetic waves in vacuum and in a medium; complex dielectric function, interfaces, reflection and transmission.

Optical conduction in dipole approximation; linear response theory, Kramers-Kronig relation, sum rules.

Simple optical models of metals and insulators; Drude model, Lorentz oscillator. Optical phonons, electron-phonon interaction. Optical spectroscopes: monochromatic- and Fourier transformation spectrometers.

Optical spectroscopy of interacting electron systems: excitons, metal- insulator transition, superconductors. Magneto optics: methods and current applications.

Examination


Recommended reading

H. Kuzmany: Solid State Spectroscopy (Springer, 1998)

L. Mihály, M.C. Martin: Solid State Physics: Problems and Solutions (Wiley, 1996)

S. Sugano, N. Kojima: Magneto-optics (Springer, 1999).

Further information


100

Module Module-Code


Course Course-Code

Wavelets, Coherent States and Multiresolution Analysis

ENERGY-B6-AS2-WC






2 30 h 60 h 90 h 3 Cr

Type of course

V



Contents

Characterization of complex distributions using simply interpretable component functions Fourier analysis. Time-frequency analysis, window Fourier transformation. Gábo transformation. Uncertainty principle, Shannon’s theorem. Continuous wavelet transformation. Coherent states. The Weyl-Heisenberg and the affine group.

The generalization of Hilbert space basis sets: frames. Discrete wavelet transformation. Riesz bases. Multiresolution analysis. The refinement equation. Biorthogonal and orthogonal scaling functions.

Compactly supported wavelets: Daubechies’ construction. Continuity differentiability, vanishing momenta. Matrix elements of physical operators in wavelet bases.

Examination


Recommended reading

Ingrid Daubechies: Ten Lectures on Wavelets (SIAM Philadelphia, 1992)

Charles K. Chui: An Introduction to Wavelets (Academic Press, Sa Diego, 1992)

Ola Bratteli, Palle Jorgensen: Wavelets Through a Looking Glas (Birkhauser, Boston, 2002)

Further information


101

Module Module-Code


Course Course-Code

Solid State Physics II ENERGY-B6-AS2-BS






2 30 h 60 h 90 h 3 Cr

Type of course




Contents

This course shows the description of interacting many-body systems (mainly electron systems) with the following subjects:

Identical particles, second quantization, interacting electron system in Bloch and Wannier basis, ferro magnetisms of metals, linear response theory, susceptibility of metals, spin density functions, Bose liquids.

Examination


Recommended reading

Abrikosov, Gorkov, Dzyaloshinski: Methods of quantum field theory in statistical physics, Chapter 3. Second quantization.

Further recommendations will be given in the course.

Further information


102

Module Module-Code

Studium Liberale ENERGY-B5-SL



Natural Sciences


Energy Science Ba

Scheduled Semester Duration Type of Module (P/WP/W)1)

Credits

5 and 6 30 weeks P 8



None



I Elective Courses (other than Science or Engineering)

WP varies 30-240 h 1 - 8

Sum 240 h 8


The students expand their views and shape their individual intellectual profile.



Will be specified at the beginning of each course.


The module grade does not enter the final grade.


103

4. Academic Year


104

Module Module-Code

Energy Science IV ENERGY-B7-ES4



Study programme Module Level

Energy Science Bachelor plus

Scheduled Semester Duration Type of Module (P/WP/W)1)

Credits

7 15 weeks P 12



None ENERGY-B5-AS1 and –B6-AS2



I Energy relevant Materials:

Conversion of Solar Energy

WP 2 90 h 3

II Energy relevant Materials: Thermoelectrics WP 2 90 h 3

III Energy relevant Materials:

(other course offered by the Faculties of Physics, Chemistry or Engineering)

WP 2 90 h 3

IV Advanced Laboratory Course 2 P 6 180 h 6

Sum 10 360 h 12


The students know possibilities to optimize energy conversion efficiencies or energy storage capacities or energy transport properties by designing materials accordingly.


The students have gained experience with modern measurement techniques, and how to design experiments.


One written or oral examination in two of the courses I – III.




105

Module Module-Code


Course Course-Code

Energy relevant Materials: Conversion of Solar Energy

ENERGY-B7-ES4-CS

Lecturer Institute Type

Faculty members of the department of Physics Physics WP


7 WS English 30


2 30 h 60 h 90 h 3 Cr

Type of course

V


The students are familiar with currently used materials for the conversion of solar energy and know how they were optimized and what potential for further optimization they have.

Contents

Materials science focussing on materials for the conversion of solar energy into electricity (photovoltaic), into heat (solar heat) or into chemical energy (solar chemistry).

Examination

Written (duration: 45 - 120 minutes) or oral examination (duration: 15 - 60 minutes).

Recommended reading


Further information


106

Module Module-Code


Course Course-Code

Energy relevant Materials: Thermoelectrics ENERGY-B7-ES4-TE


Faculty members of Physics resp. Engineering Physics resp. Engineering

WP


7 WS English 30


2 30 h 60 h 90 h 3 Cr

Type of course

V


The students know strategies how to improve the figure of merit for thermoelectrical materials.

Contents

Materials science focussing on materials for the conversion of waste heat into electricity (or for efficient electrical cooling).

Examination


Recommended reading


Further information


107

Module Module-Code


Course Course-Code

Energy relevant Materials: … ENERGY-B7-ES4-EM


Faculty members of Physics, Chemistry or Engineering WP


7 WS English 30


2 30 h 60 h 90 h 3 Cr

Type of course

V


The students are familiar with modern energy related concepts from materials science.

Contents

Other course on energy relevant materials, e.g.

“Structure formation and self organization”,

“Materials for energy storage”,

“Multiferroics for energy conversion and storage”, …

Examination


Recommended reading


Further information


108

Module Module-Code


Course Course-Code

Advanced Laboratory Course 2 ENERGY-B7-ES4-EP


Prof. Dr. Lorke Physics P


7 WS English 30


6 90 h 90 h 180 h 6 Cr

Type of course

Pr


The students have gained experience how to design an experiment. They know advanced measurement techniques.

Contents

Six experiments chosen from the Advanced Laboratory Course in Physics, or an equivalent choice of experiments, e.g. those offered in connection with course II.

Examination

The students prepare and carry out 6 experiments. They analyse the measured data and document their results in a report. This part of the module must be passed, but is not graded.

Recommended reading

Further information


109

Module Module-Code

Energy Science V ENERGY-B8-ES5






Credits

8 15 Weeks P 12



None



I Introduction to Energy Economics P 4 180 h 6

II Industrial Internship P - 180 h 6

Sum 4 360 h 12


The students come to know energy as an economic good and can select occupational areas.


(Partly independent) acquirement of basic knowledge in economics, team skills.


Written or oral examination in I.




110

Module Module-Code


Course Course-Code

Introduction to Energy Economics ENERGY-B8-ES5-EW


Lecturer of Economic Sciences Economic Sciences

P




4 60 h 120 h 180 h 6 Cr

Type of course



The students come to know energy as an economic good.

Contents

Part I: The driving forces of the energy market development

Energy demand – What for do we need energy?

Energy reserves – What can we use?

Energy and Environment - What have climate change and energy use in common?

Part II: Overview of major energy markets

Mineral oil

Natural gas

Current

District heating

Anthracite and brown coal

Nuclear power

Renewable energy source

Examination


Recommended reading

Will be announced in the lecture.

Further information


111

Module Module-Code


Course Course-Code

Industrial Internship ENERGY-B8-ES5-IP




8 SS German


- - 180 h 180 h 6 Cr

Type of course

Internship in a company.


Insights into operational practice and into characteristical work processes and their interaction in the functional sequence of modern businesses. Relationship between academic contents and industrial practice.

Contents

Four-week internship, co-supervised by a member of the Faculty of Physics.

The students work in a company with natural scientists, engineers or employees with the appropriate qualifications.

They edit tasks from different fields of activity of example under scientific guidance and supervision of a lecturer of the Faculty of Physics.

They will become familiar with problem definition and solution strategies, with team work and time management.

Examination

See course ENERGY-B8-ES5-EW.

Recommended reading

-

Further information

Students should actively apply to a member of the faculty for an internship in industry at least 4 months before the planned start. Weekly consultations with the supervisor about the progress of the internship are recommended. The internship can be conducted in the semester break. It may also serve as an introduction to the bachelor thesis.


112

Module Module-Code

Theory V ENERGY-B7-TH5






Credits

7 15 weeks P 9



None ENERGY-B4-TH4



I Statistical Physics II

(Irreversible Processes)

P 6 180 h 6

Sum 6 180 h 6


The students know the origin of irreversibility. They are familiar with modern concepts in a special field of Theoretical Physics or Chemistry.


Decision capability on personal professional profile.


One oral examination.



1)

Additional elective courses can be added by the Examination Board


113

Module Module-Code

Theory V ENERGY-B7-TH5

Course Course-Code

Statistical Physics II (Irreversible Processes) ENERGY-B7-TH5-IP




7 WS English V: 90 / Üb: 20


6 90 h 90 h 180 h 6 Cr

Type of course



The students know the statistical theory of ideal quantum gases. They have an idea about the origin of irreversibility in nature. They know and can apply basic concepts of nonequilibrium statistical physics and transport theory.

Contents

Quantum statistical physics: Density operator, ideal Fermi- and Bose gas.

Poincaré cycle, Onsager theory, Boltzmann equation, linear response theory, thermoelectric coefficients, ballistic and diffusive transport, Brownian motion, Einstein relation, Langevin- and Fokker-Planck equation.

Examination

Oral examination (duration: 15 - 60 Minutes).

Recommended reading

Schwabl: Statistische Mechanik

Brenig: Statistische Theorie der Wärme

Reif: Thermal and Statistical Physics. Datta: Electronic Transport in Mesoscopic Systems.

Further information


114

Module Module-Code

Advanced Science III ENERGY-B7-AS3






Credits




None ENERGY-B5-AS1 and ENERGY-B5-AS2



I Special courses in Physics, Chemistry or Engineering, chosen from the modules PHYSIK-M1-VT1 to -VT42) or ENERGY-B3-ET (without courses already taken before).

WP 2 – 3 90 h 3

II WP 2 – 3 90 h 3

III WP 2 – 3 90 h 3

III Physics of Traffic WP 2 90 h 3

IV Superconductivity and Magnetism WP 2 90 h 3

VI Econophysics WP 2 90 h 3

VII Theoretical Aspects of Energy Storage WP 2 90 h 3

Sum 6 – 9 270 h 9


The students are familiar with modern concepts in a special field of their choice from physics, chemistry or engineering.


Decision capability on personal professional profile.


Written or oral examination in the chosen courses. The module grade is the arithmetic mean of the individual grades, only the first decimal place after the point will be taken into account.


The module enters the final grade with weight 9.

1) Additional elective courses can be added by the Examination Board

2) See Module-manual for Master programme Physics at the University of Duisburg-Essen.


115

Module Module-Code


Course Course-Code

Elective courses from PHYSIK-M1-VT1 to –VT41) of from ENERGY-B3-ET

ENERGY-B7-AS3-XX


Members of the Institute of Physics, Chemistry or Engineering

Physics WP


7 or 8 WS or SS English or German V: 90 / Üb: 20


90 h 3 Cr

Type of course

V and Üb


According to elected course.

Contents

According to elected course.

Examination


Recommended reading

Further information

1)

See Module-manual for Master programme Physics at the University of Duisburg-Essen.


116

Module Module-Code


Course Course-Code

Physics of Traffic ENERGY-B7-AS3-PT




7 WS English 90


2 30 h 60 h 90 h 3 Cr

Type of course

V


The students are familiar with modern traffic modelling approaches and mobility concepts.

Contents

- Classification of traffic systems - Data acquisition and data handling - Data analysis and identification of traffic phases - Macro-, meso- and microscopic models - Simulation methods - Analytical results and approximations - Multi-Agent-Models

- Related Systems - Generation of information

Examination


Recommended reading

B. S. Kerner: The Physics of Traffic

D. Helbing: Verkehrsdynamik

D. Chowdury, L. Santen, A. Schadschneider: Statistical Physics of Vehicular Traffic and some related Systems

Further information


117

Module Module-Code


Course Course-Code

Superconductivity and Magnetism ENERGY-B7-AS3-SM




7 WS English 90


2 30 h 60 h 90 h 3 Cr

Type of course

V


The students know the theoretical description and explanation of superconductivity and collective magnetism.

Contents

Superconductivity: Experimental facts, Cooper pairs, BCS-theory, Ginzburg-Landau-theory, tunnel phenomena in superconductors, Josephson effect.

Magnetism: Exchange interaction, Spin-lattice models, mean field theory, magnons, band ferromagnetism.

Examination


Recommended reading

G. Czycholl: Theoretische Festkörperphysik

N. W. Ashcroft, N. D. Mermin: Solid State Physics

L. D. Landau, E. M. Lifschitz: Lehrbuch der Theor. Phys., Bd. 9

Further information


118

Module Module-Code


Course Course-Code

Econophysics ENERGY-B7-AS3-EP




7 WS English 90


2 30 h 60 h 90 h 3 Cr

Type of course

V


The students can apply quantitative methods developed in physics to problems of economics and finance. They are familiar with basic concepts of risk management.

Contents

- Basic notions of economics and finance - Statistical modelling, stochastic processes and distributions of returns - Black-Scholes-Theory - Correlations between stock prices

- Portfolio optimization and risk management - Speculative theories

Examination


Recommended reading

Guhr: Econophysics

Mantegna, Stanley: Introduction to Econophysics

Bouchaud, Potters: Theory of Financial Risk

Further information


119


7 WS English 90


2 30 h 60 h 90 h 3 Cr

Type of course

V


The students know selected theoretical methods to determine ionic transport.

Contents

This course focusses on high temperature fuel cells and quantitative calculations of ion transport:

Density functional theory of ground state properties of solids like ZrO2 doped with Y.

Transport of O2- ions: Nudged elastic band method, transition state theory, Monte Carlo method.

Examination


Recommended reading

R. Martin: Electronic Structure (Cambridge University Press, 2008)

G. Mills, H. Jónsson, Phys. Rev. Lett. 72, 1124 (1994)

G. H. Vineyard, J. Phys. Chem. Solids 3, 121 (1957)

K. Binder: Monte Carlo methods in statistical physics (Springer, Berlin, 1984)

R. Krishnamurthy, Y.-G. Yoon, D. J. Srolovitz, R. Car, J. Am. Ceram. Soc. 87, 1821 (2004)

Further information

Module Module-Code

Advanced Science III ENERGY-B7-TAS3

Course Course-Code

Theoretical Aspects of Energy Storage ENERGY-B7-AS3-MT




120

Module Module-Code

Advanced Scientific Methods ENERGY-B7-SM






Credits




None



I Modern Measurement Techniques in Physics WP 5 150 5

II Computer simulation WP 5 150 5

III Project planning and presentation P 2 120 4

Sum 7 270 9


The students are familiar with the advanced experimental or computational scientific tools needed for their Bachelor thesis.


The students can work out and present a project proposal.


Bachelor Thesis ENERGY-B8-BT also serves as examination for module ENERGY-B7-SM.


The grade of the Bachelor Thesis enters the final grade with weight 21.


121

Module Module-Code


Course Course-Code

Modern Measurement Techniques in Physics ENERGY-B7-SM-MM




7 WS English K: 90 / Pr: 20


5 75 h 75 h 150 h 5 Cr

Type of course

Colloquium (K: 3 SWS) and laboratory course (Pr: 2 SWS)


The students know advanced experimental methods for investigating physical phenomena and can apply them.

Contents

Optical, magnetic and electronic spectroscopy with neutrons, electrons, photons, and atoms on different energy scales, x-ray structure determination, chemical analysis, electron microscopy, magnetometry.

Examination

Active and successful participation (not graded).

Recommended reading


Further information


122

Module Module-Code


Course Course-Code

Computer Simulation ENERGY-B7-SM-CS




7 WS English V: 90 / Pr: 20


5 75 h 75 h 150 h 5 Cr

Type of course

Lecture (V: 2 SWS) and computer laboratory course (Pr: 3 SWS)


The students can apply advanced simulation methods of classical many body systems.

Contents

Molecular Dynamics simulation algorithms, thermostat, barostat, evaluation of structural and dynamical correlations; Monte-Carlo simulations, generation of pseudo random numbers, kinetic Monte-Carlo simulations, importance sampling, finite-size scaling; parallelization principles.

Examination

Active and successful participation (not graded).

Recommended reading

D. P. Landau, K. Binder: A Guide to Monte Carlo Simulations in Statistical Physics

M. P. Allen, D. J. Tildesley: Computer Simulation of Liquids

K. H. Hoffmann, M. Schreiber: Computational Physics

D. Frenkel, B. Smith: Understanding Molecular Simulations

D. C. Rapaport: The Art of Molecular Dynamics

W. H. Press, et al.: Numerical Recipes: The Art of Scientific Computing

Further information


123

Module Module-Code


Course Course-Code

Project Planning and Presentation ENERGY-B7-SM-PP




8 SS English 90


2 30 h 90 h 120 h 4 Cr

Type of course

Se


The students are able to acquire, understand, evaluate and organize scientific information such that they can give a convincing presentation.

Contents

Each student gives a scientific talk about an energy related subject from physics, chemistry or engineering. The topics and some reading recommendations will be specified ahead of time. The students independently learn their subject and research it further, where needed. Together with a supervisor they select the material for a presentation, work it out and give the talk.

Examination

Active and successful participation and a presentation (not graded).

Recommended reading

Will be assigned individually.

Further information


124

Module Module-Code

Bachelor Thesis ENERGY-B8-BT




Energy Science Bachelor


Credits

8 12 weeks P 12



At least 200 Credits of the Bachelor programme Energy Science (§ 20 Abs. 2 PO)



I Bachelor Thesis P - 360 12

Sum - 360 12


The students are able to apply interdisciplinary insight and scientific methods to energy related problems. They can give a convincing written account of their results.


Project management under time constraints.


Bachelor Thesis (also serves as examination for module ENERGY-B7-SM).


The grade of the Bachelor Thesis enters the final grade with weight 21.


125

Module Module-Code


Course Course-Code


Thesis advisor Faculty Type

Faculty Member of Physics or Chemistry or Engineering according to § 20 Abs. 4 PO

Physics, Chemistry or Engineering

P


8 SS (and WS) German or English


360 h 12 Cr

Type of course

The Bachelor Thesis is an examination, in which each student individually is assigned a problem by a thesis advisor. Within a given time of 12 weeks this problem has to be worked on independently with scientific methods, resulting in a written account.


The students are able to apply interdisciplinary insight and scientific methods to energy related problems. They can reach a science-based judgement and give a convincing written account of it in limited time.

Contents

Topic of the thesis is assigned individually.

Examination

Bachelor Thesis, reviewed by the thesis advisor and another reviewer.

Recommended reading

Will be assigned individually.

Further information


126

Legend

Module-Code Study programme-DegreeSemester-Moduleabbreviation Course-Code Study programme-DegreeSemester-Moduleabb.-Courseabb. Module Level (Ba/Ma) Ba Bachelor Ma Master Bachelor plus1) Type of Module (P/WP/W) Type P Pflicht required WP Wahlpflicht elective W Wahl optional Frequency of occurrence WS Wintersemester Fall Semesters SS Sommersemester Spring Semesters SWS Semesterwochenstunden classroom hours per week Workload h Stunden hours Cr Credits (ECTS2)-Credits (§ 10 PO3))) Type of course V Vorlesung Lecture Üb Übung Tutorial Pr Praktikum Laboratory course Pj Projekt Project Se Seminar Seminar K Kolloquium Colloquium Ex Exkursion Excursion Classroom hours

In the calculation of the classroom hours, a SWS with 45 minutes will be considered as an hour with 60 minutes. This ensures that changing rooms and possible questions to teachers are taken into account.

[Contents in square brackets are not relevant for examination for students in the Bachelor

programme Energy Science.] 1) Four year Bachelor programme: Level of last year comparable to level of first year in a two year Master programme.

2) European Credit Transfer and Accumulation System

3) Examination Regulation


127

Curriculum: Modules und Courses

Module Cr

Se

me

ste

r

Course Course-Code Cr P / WP

Teach-ing

SWS

Examination

General Education 6 1

Introduction to Energy Science ENERGY-B1-E2-ES0 6

x V 4 Written Examination

Tutorial x Üb 2

Physics I 9 1

General Physics 1a ENERGY-B1-PH1-GP 6

x V 4

Written Examination

Tutorial x Üb 2

Energy Science Laboratory Course 1

ENERGY-B1-PH1-EP 3 x Pr 3

Chemistry I 6 1 General Chemistry

ENERGY-B1-CH1-AC 6 x V 4 Written

Examination Tutorial x Üb 2

Theory I 8 1

Newtonian Mechanics ENERGY-B1-TH1-ME 4

x V 2

Written Examination

Tutorial x Üb 2

Mathematical Methods 1 ENERGY-B1-TH1-MA 4

x V 2

Tutorial x Üb 2

Physics II 9 2

General Physics 1b ENERGY-B2-PH2- GP 6

x V 4

Written Examination

Tutorial x Üb 2



Chemistry II 7 2

Physical Chemistry ENERGY-B2-CH2-PC 4

x V 2

Written Examination

Tutorial x Üb 1


ENERGY-B2-CH2-EP 3 x Pr 3

Theory II 9 2

Advanced Mechanics ENERGY-B2-TH2-ME

5

x V 2

Written Examination

Tutorial x Üb 2

Computer Laboratory Course

ENERGY-B2-TH2-CP x Pr 1


x V 2

Tutorial x Üb 2

General Skills 6 2

Data Processing Course

ENERGY-B2-SQ-DV 3 x Pr 2 Succ.

Particip.

Technical English Language Course

ENERGY-B2-SQ-SKn 3

3 Cr

Üb 2

Written Examination

English Language Course for Scientists

ENERGY-B2-SQ-SKn 3 Üb 2

English Language Course for Physicists


English Language Course for Chemists


Physics III 9 3

General Physics 2a ENERGY-B3-PH3-GP 6

x V 4 Written or

Oral Examination

Tutorial x Üb 2



Theory III 10 3

Electrodynamics ENERGY-B3-TH3-ED

6

x V 2

Written or Oral

Examination

Tutorial x Üb 3




x V 2

Tutorial x Üb 2


128

Module Cr

Se

me

ste

r


Teach-ing

SWS

Examination

Energy Technology 12

3

Combustion Science ENERGY-B3-ET-VB 4

12 Cr

V 2

3 Written Examinations

Tutorial Üb 1

Fluid Dynamics ENERGY-B3-ET-FD 4

V 2

Tutorial Üb 1

Renewable Energy Technology 1 ENERGY-B3-ET-RE1 4

V 2

Tutorial Üb 1

Thermodynamics 1 ENERGY-B3-ET-TD1 4

V 2

Tutorial Üb 1

Electrical Energy Supply ENERGY-B3-ET-EE 4

V 2

Tutorial Üb 1

4

Fuel Cell Systems ENERGY-B3-ET-BZ 4

V 2

Tutorial Üb 1

Renewable Energy Technology 2 ENERGY-B3-ET-RE2 4

V 2

Tutorial Üb 1

Thermodynamics 2 ENERGY-B3-ET-TD2 4

V 2

Tutorial Üb 1

Energy Science I 6 3

Energy Systems Compared (Colloquium)

ENERGY-B3-ES1-EV 3 x K 4

Discourse

4 Energy Systems Compared (Seminar)

ENERGY-B3-ES1-EC 3 x Se 2

Physics IV 9 4

General Physics 2b ENERGY-B4-PH4-GP 6

x V 4

Oral Examination

Tutorial x Üb 2



Theory IV 14 4

Quantum Mechanics ENERGY-B4-TH4-QM

6

x V 2

Written or Oral

Examination

Tutorial x Üb 2




x V 2

Tutorial x Üb 2

Statistical Physics 1 ENERGY-B4-TH4-SP 4

x V 2

Tutorial x Üb 2


129

Module Cr

Se

me

ste

r


Teach-ing

SWS

Examination

Energy Science II 12 5

Nuclear Physics ENERGY-B5-ES2-NP 5

x V 3

BME Examination

Rules

Tutorial x Üb 1

Nuclear Measurement ENERGY-B5-ES2-NM 3

x V 1

Tutorial x Üb 1

Plasma Physics ENERGY-B5-ES2-PP 4

x V 3

Tutorial x Üb 1

Advanced Science I 12 5

Solid State Physics 1 ENERGY-B5-AS1-SSP

4 x V 2

BME Examination

Rules

Tutorial x Üb 2

Computational Physics ENERGY-B5-AS1-CP 3

8 Cr

V 2

Tutorial Pr 1

Atomic and Molecular Physics ENERGY-B5-AS1-AM 3

V 2

Tutorial Üb 1

Dynamical Systems ENERGY-B5-AS1-DS 2 V 2

Transport Phenomena ENERGY-B5-AS1-TP 2 V 2

Physical Optics ENERGY-B5-AS1-PO 5 V 4

Laser Technique ENERGY-B5-AS1-LT 2 V 2

Laser Physics ENERGY-B5-AS1-LP 3 V 2

Spectroscopy and Structure of Matter

ENERGY-B5-AS1-SSM

3 V 2

Studium Liberale 8 5 Elective Courses

(other than Science or Engineering)

ENERGY-B5-SL-XX 8 Cr BME

Examination Rules 6

Energy Science III 12 6

Fusion Devices Energy-B6-ES3-FD 2

x V 1

BME Examination

Rules

Tutorial x Üb 1

Thermal Hydraulics Energy-B6-ES3-TH 4

x V 3

Tutorial x Üb 1

Reactor Physics Energy-B6-ES3-RP 4

x V 3

Tutorial x Üb 1

Reactor Technology Energy-B6-ES3-RT 2

x V 1

Tutorial x Üb 1

Advanced Science II 6 6

Seminar Energy-B6-AS2-SE 3 x Se 2

BME Examination

Rules

Scaling and Critical Phenomena

Energy-B6-AS2-SC 3

3 Cr

V 2

New Experiments in Nanophysics

Energy-B6-AS2-NP 3 V 2

Crystalline and Amorphous Materials

Energy-B6-AS2-CA 3 V 2

Optical Spectroscopy Energy-B6-AS2-OS 3 V 2

Wavelets, Coherent States and Multi-resolution Analysis

Energy-B6-AS2-WC 3 V 2

Solid State Physics 2 Energy-B6-AS2-BS 3 V 2

Environmental Aspects

10 6

Radiation Protection ENERGY-B6-EA-RP 2 x V 2

BME Examination

Rules

Nuclear Safety ENERGY-B6-EA-NS 2 x V 2

Radioactive Waste Treatment

ENERGY-B6-EA-RW 2 x V 2

Advanced Laboratory Course 1

ENERGY-B6-EA-EP 4 x Pr 4


130

Module Cr

Se

me

ste

r


Teach-ing

SWS

Examination

Energy Science IV 12 7

Energy relevant Materials: Conversion of Solar Energy

ENERGY-B7-ES4-CS 3

6 Cr

V 2

Written or Oral

Examination

Energy relevant Materials: Thermoelectrics

ENERGY-B7-ES4-TE 3 V 2

Energy relevant Materials: …

ENERGY-B7-ES4-EM 3 V 2

Advanced Laboratory Course 2

ENERGY-B7-ES4-EP 6 x Pr 6

Advanced Science III 9 7

Special Courses in Physics, Chemistry or Engineering

ENERGY-B7-AS3-XX 3

9 Cr

V 2

Oral Examination

Physics of Traffic ENERGY-B7-AS3-PT 3 V 2

Superconductivity and Magnetism

ENERGY-B7-AS3-SM 3 V 2

Econophysics ENERGY-B7-AS3-EP 3 V 2

Theoretical Aspects of Energy Storage

ENERGY-B7-AS3-MT 3 V 2

Theory V 6 7 Statistical Physics 2

ENERGY-B7-AS3-IP 6 x V 4 Oral


Energy Science V 12 8

Introduction to Energy Economics ENERGY-B8-ES5-EW 6

x V 2 Written or Oral


Industrial Internship ENERGY-B8-ES5-IP 6 x Pr

Advanced Scientific Methods

9 7

Modern Measurement Techniques in Physics ENERGY-B7-SM-MM 5

5 Cr

K 3 Bachelor Thesis

also serves as

Examination for this Module

Laboratory Course Pr 2

Computer Simulation

ENERGY-B7-SM-CS 5

V 2


Pr 3

8 Project Planning and Presentation

ENERGY-B7-SM-PP 4 x Se 2

Bachelor Thesis 12 8 Bachelor Thesis ENERGY-B8-BT 12

Sum total Credits 240

Cr Credits

P Compulsory Courses: x (Pflichtkurse)

WP Elective Courses: Sum of Elected Credits (Wahlpflichtkurse)

V Lecture (Vorlesung)

Üb Tutorial (Übung)

Pr Laboratory Course (Praktikum)

Pj Project (Projekt)

Se Seminar (Seminar)

K Colloquium (Kolloquium)

Ex Excursion (Exkursion)

SWS Classroom Hours per Week (Semesterwochenstunden)

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