select contributions of h. d. megaw: structure − property...

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Materials 218/Chem 277 Class 1 Select contributions of H. D. Megaw: Structure − property relations in thermal expansion of crystals, and ferroelectrics Ram Seshadri Materials Department, and Department of Chemistry and Biochemistry Materials Research Laboratory University of California, Santa Barbara CA 93106 http://www.mrl.ucsb.edu/seshadri +++ [email protected]

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Page 1: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

Select contributions of H. D. Megaw: Structure − property relations in thermal expansion of crystals, and ferroelectrics

Ram Seshadri

Materials Department, and Department of Chemistry and Biochemistry Materials Research Laboratory University of California, Santa Barbara CA 93106 http://www.mrl.ucsb.edu/~∼seshadri +++ [email protected]

Page 2: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

What are structure-­property relations all about?

Page 3: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

Helen Dick Megaw (1907 – 2002)

[No wikipedia entry !]

Assistant Director of Research at the Cavendish Laboratory in Cambridge.

http://cwp.library.ucla.edu/Phase2/Megaw,[email protected]

Ferroelectricity in Crystals. Methuen, London 1957.

Crystal Structures: A Working Approach. W.B. Saunders Co., Philadelphia 1973.

Page 4: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

John Desmond "Sage" Bernal (1901 – 1971)

"Appointed as the first lecturer in Structural Crystallography at Cambridge (1927) ... crystallographic techniques to organic molecules, starting with oestrin and sterol compounds including cholesterol in 1929, he analysed vitamin B1 (1933), pepsin (1934), vitamin D2 (1935), the sterols (1936), and the tobacco mosaic virus (1937), ... also worked on the structure of liquid water, showing the boomerang shape of its molecule (1933). With Dorothy Hodgkin in 1934, took the first X-­ray photographs of hydrated protein. Max Perutz arrived as a student from Vienna in 1936 and started the work on haemoglobin."

Page 5: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

Bernal and Megaw on hydrogen (and hydroxyl) bonding:

Gibbsite Al(OH)3 : Where are the hydrogen atoms?

Page 6: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

Megaw on thermal expansion

Linear expansion coefficients can be measured with high accuracy, even when large crystals are not available.

Page 7: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

Megaw on thermal expansion

Measurements on calcite – already known from 1868 to show negative thermal expansion along one of the directions.

Table from the publication on previous page.

Page 8: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

Megaw on thermal expansion: Niobates

H. D. Megaw, The thermal expansion of interatomic bonds, illustrated by experimental evidence from certain niobates, Acta Cryst. A24 (1968) 589.

Page 9: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

Megaw on thermal expansion: Niobates

H. D. Megaw, Crystal structures and thermal expansion, Mat. Res. Bull. 6 (1971) 1007-­1018.

Page 10: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

Megaw on thermal expansion: Relations to bond strength

H. D. Megaw, Crystal structures and thermal expansion, Mat. Res. Bull. 6 (1971) 1007-­1018.

q = CN/charge, referred to by Megaw as Pauling valence

q = 8 for CsCl q = 6 for NaCl q = 4 for CaF2

These are all examples of linear expansions only, with no angular changes.

Page 11: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

ZrW2O8

J. D. Jorgensen, Z. Hu, S. Teslic, D. N. Argyriou, S. Short, J. S. O. Evans, and A. W. Sleight, Negative thermal expansion from 0.3 to 1050 Kelvin in ZrW2O8, Phy. Rev. B 59 (1999) 2155-­225.

Zr in octahedra and W in tetrahedra. 50% thermal ellipsoids displayed.

Page 12: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

Megaw and BaTiO3

Page 13: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

Megaw and BaTiO3

Page 14: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

Megaw and BaTiO3

Cell parameters and thermal expansion coefficients.

H.D. Megaw, Temperature changes in the crystal structure of barium titanium oxide, Proc. R. Soc. Lond. A 189 (1947 ) 261-­283.

Page 15: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

Megaw and BaTiO3

H. D. Megaw, Origin of ferroelectricity in barium titanate and other perovskite-­type crystals, Acta Cryst. 5 (1952) 739.

"The origin of ferroelectricity is attributed to a small change of bond character occurring in a structure whose geometry is compatible with either ionic or homopolar binding."

Page 16: Select contributions of H. D. Megaw: Structure − property ...seshadri/2012_218/2012_218_Megaw.pdf · Materials 218/Chem 277 Class 1 Megaw on thermal expansion: Relations to bond

Materials 218/Chem 277 Class 1

T

R3mR

Amm2

P4mm

The BaTiO3 structures