DOI: 10.1002/pssb.19680250126. Structure and dynamics of perovskite‐type crystals

Structure and dynamics of perovskite‐type crystals

10.1002/pssb.19680250126

Crossref journal-article

Wiley

physica status solidi (b) (311)

Abstract

AbstractThe connection between Landau's theory of phase transitions and the lattice‐dynamical theory of a displacive transition in a crystal is discussed. At a second‐order displacive transition the frequency of one normal mode becomes zero. By investigating the displacements of the atoms from special positions of the lattice for a number of crystals having the distorted perovskite structure, we have shown that several modes are involved in the various transitions, except in the case of LaAlO3, where the transition is probably second‐order or nearly so, and is associated with a mode of low frequency. The wave vector of this mode is at the point (1/2 1/2 1/2) of the Brillouin zone, and its irreducible representation is Γ25.

Bibliography

Cochran, W., & Zia, A. (1968). Structure and dynamics of perovskiteâtype crystals. Physica Status Solidi (b), 25(1), 273â283. Portico.

Authors 2

W. Cochran (first)
A. Zia (additional)

References 22 Referenced 185

{'key': 'e_1_2_1_2_2', 'volume-title': 'Fizika dielektrikov', 'author': 'Anderson P. W.', 'year': '1960'} / Fizika dielektrikov by Anderson P. W. (1960)
10.1103/PhysRevLett.3.412
10.1080/00018736000101229
10.1103/PhysRev.125.1527
10.1103/PhysRev.134.A981
10.1080/14786436508230077
10.1103/PhysRev.151.387
10.1016/0038-1098(67)90047-6
{'key': 'e_1_2_1_9_2', 'volume-title': 'Dynamical Theory of Crystal Lattices', 'author': 'Born M.', 'year': '1954'} / Dynamical Theory of Crystal Lattices by Born M. (1954)
10.1103/PhysRev.82.729
10.1080/14786435608238078
10.1103/PhysRev.140.A863
{'key': 'e_1_2_1_13_2', 'volume-title': 'Statistical Physics', 'author': 'Landau L. D.', 'year': '1962'} / Statistical Physics by Landau L. D. (1962)
10.3367/UFNr.0077.196208f.0621
10.1070/PU1963v005n04ABEH003446
{'key': 'e_1_2_1_15_2', 'volume-title': 'Crystal Structures', 'author': 'Wyckoff R. W.', 'year': '1964'} / Crystal Structures by Wyckoff R. W. (1964)
A.Zia unpublished work.
{'key': 'e_1_2_1_17_2', 'first-page': '349', 'volume': '105', 'author': 'Jona F.', 'year': '1957', 'journal-title': 'Phys. Rev.'} / Phys. Rev. by Jona F. (1957)
10.1107/S0365110X57000663
10.1088/0370-1328/78/6/124
10.1107/S0365110X65001184
10.1107/S0365110X56002965

Dates

Type	When
Created	18 years, 1 month ago (July 9, 2007, 5:52 p.m.)
Deposited	1 year, 9 months ago (Nov. 3, 2023, 7:52 p.m.)
Indexed	2 weeks, 2 days ago (Aug. 5, 2025, 8:10 a.m.)
Issued	57 years, 7 months ago (Jan. 1, 1968)
Published	57 years, 7 months ago (Jan. 1, 1968)
Published Online	19 years, 4 months ago (March 31, 2006)
Published Print	57 years, 7 months ago (Jan. 1, 1968)

Funders 0

None

BibTeX

@article{Cochran_1968, title={Structure and dynamics of perovskite‐type crystals}, volume={25}, ISSN={1521-3951}, url={http://dx.doi.org/10.1002/pssb.19680250126}, DOI={10.1002/pssb.19680250126}, number={1}, journal={physica status solidi (b)}, publisher={Wiley}, author={Cochran, W. and Zia, A.}, year={1968}, month=jan, pages={273–283} }

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