摘要: Basic symmetry properties of transformation twins and ferroelectric or ferromagnetic domains are examined in terms the abstract group theory. It is shown that crystallographical relations between (twin components) domain pairs can be deduced from decomposition high phase into left double cosets low phase. Expressions derived for numbers proper improper domains, number crystallographically equivalent phases, non-equivalent pairs. A classification according to their proposed. The structure monoclinic WO3 Dauphine twinning quartz analysed as illustrative examples.
springer.com
sci-hub.se 参考文章(10)
O. V. Kovalev, A. Murray Gross, Irreducible Representations of the Space Groups ,(1965)
A.F. Devonshire, XCVI. Theory of barium titanate Philosophical Magazine Series 1. ,vol. 40, pp. 1040- 1063 ,(1949) , 10.1080/14786444908561372
Takuro Tsuzuku, Kanji Saito, Annealing Effect on Diamagnetism of Neutron-Irradiated Graphite Journal of the Physical Society of Japan. ,vol. 28, pp. 252- 252 ,(1970) , 10.1143/JPSJ.28.252
Kêitsiro Aizu, Possible Species of Ferromagnetic, Ferroelectric, and Ferroelastic Crystals Physical Review B. ,vol. 2, pp. 754- 772 ,(1970) , 10.1103/PHYSREVB.2.754
H. Gränicher, K.A. Müller, On the nature of phase transitions and nomenclature Materials Research Bulletin. ,vol. 6, pp. 977- 987 ,(1971) , 10.1016/0025-5408(71)90076-6
E. Ascher, Role of particular maximal subgroups in continuous phase transitions Physics Letters. ,vol. 20, pp. 352- 354 ,(1966) , 10.1016/0031-9163(66)90735-9
Laszlo Tisza, The thermodynamics of phase equilibrium Annals of Physics. ,vol. 13, pp. 1- 92 ,(1961) , 10.1016/0003-4916(61)90027-6
Kêitsiro Aizu, Possible Species of “Ferroelastic” Crystals and of Simultaneously Ferroelectric and Ferroelastic Crystals Journal of the Physical Society of Japan. ,vol. 27, pp. 387- 396 ,(1969) , 10.1143/JPSJ.27.387
Marshall Hall, The theory of groups ,(1959)
Andreas Speiser, Die Theorie der Gruppen von Endlicher Ordnung American Mathematical Monthly. ,vol. 30, pp. 324- ,(1923) , 10.1007/978-3-0348-4153-5