利用慢度曲面研究立方晶系晶体的铁弹相变

计算物理 ›› 2005, Vol. 22 ›› Issue (3): 217-220.

利用慢度曲面研究立方晶系晶体的铁弹相变

周国香¹, 王爱坤², 何文辰¹, 李国昌²

1. 河北工业大学理学院, 天津 300130;
2. 河北科技大学理学院, 河北石家庄 050018

收稿日期:2003-11-20 修回日期:2004-11-30 出版日期:2005-05-25 发布日期:2005-05-25
作者简介:周国香(1972-),famale,Hebei Qingxian,associate professor, Ph.D.,theory of phase transition and ferroelectric materials,Box 272,School of Science, Hebei University of Technology 300130.
基金资助:
Supported by the Hebei Province Colleges and Universities Key Subject Constructing Item and the Ph. D. Foundation

A Study on the Ferroelastic Phase Transition in Cubic Systems with the Slowness-Curved-Surface

ZHOU Guo-xiang¹, WANG Ai-kun², HE Wen-chen¹, LI Guo-chang²

1. School of Science, Hebei University of Technology, Tianjin 300130, China;
2. School of Science, Hebei University of Science and Technology, Shijiazhuang 050018, China

Received:2003-11-20 Revised:2004-11-30 Online:2005-05-25 Published:2005-05-25
Supported by:
Supported by the Hebei Province Colleges and Universities Key Subject Constructing Item and the Ph. D. Foundation

摘要/Abstract

摘要： 讨论了慢度曲面与声学模软化之间的关系.立方晶系晶体声学模的软化即对应其在某一方向上的最大慢度,软模的本征矢的方向即为与最大慢度相对应的声学模的偏振化方向.通过求解Christoffel方程可找到某些方向上的最大慢度和与它们对应的声学模的偏振化方向.从而晶体在本征铁弹相变前后结构对称性的变化可以通过分析Christoffel方程的解及利用居里原理来确定.

关键词: 慢度曲面, 软模本征矢, 本征铁弹相变, 居里原理, 立方晶系

Abstract: The relationship between the slowness-curved-surface and the softening of the acoustic mode is discussed.The acoustic mode softening of cubic systems corresponds to the maximum slowness.The eigenvector in the soft mode corresponds to the polarization of acoustic mode.By solving the Christoffel equation,the maximum slowness and the polarization of the acoustic mode are obtained.The symmetry change of proper ferroelastic phase transition of cubic systems is determined by the solution of the Christoffel equation and the Curie principle.

Key words: slowness-curved-surface, eigenvector of the soft mode, proper ferroelastic phase transition, Curie principle, cubic systems

中图分类号:

O414.13

周国香, 王爱坤, 何文辰, 李国昌. 利用慢度曲面研究立方晶系晶体的铁弹相变[J]. 计算物理, 2005, 22(3): 217-220.

ZHOU Guo-xiang, WANG Ai-kun, HE Wen-chen, LI Guo-chang. A Study on the Ferroelastic Phase Transition in Cubic Systems with the Slowness-Curved-Surface[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 22(3): 217-220.

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