Disorientation between any two lattices
Disorientation between any two lattices
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任意两个晶格之间的定向障碍
DOI：
10.1107/s0567739480000186
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发表时间：
1980
期刊：
影响因子：
--
通讯作者：
R. Bonnet
中科院分区：
文献类型：
--
作者：
R. Bonnet
定向失向的概念，以前用于研究相同立方晶体的相对取向的统计分布，在这项工作中定义了任意两个晶格。利用所提出的定义，提出了一种算法，可以方便地对两个格之间所有已知的相对方向进行分类。作为一个例子，提出了对Al和CuAl2晶体众多相互取向的统一分类。格里默[晶体学报]采用的单位四元数方法。（1974）， A30, 685-688]对于讨论更复杂情况下的对轴/角定向是有效的：立方1/立方2；四边形1/四边形2；六边形1/六边形2；立方/正方;立方/正方和立方/六边形。给出了格1或格2任意点群的等价四元数的一般表达式。
The concept of disorientation, previously used for studying the statistical distribution of the relative orientation of identical cubic crystals, is defined in this work for any two lattices. Using the proposed definition, an algorithm is presented, allowing all the known relative orientations between the two lattices to be conveniently classed. As an example, a unified classification of the numerous mutual orientations of the Al and CuAl2 crystals is suggested. The unit quaternion method used by Grimmer [Acta Cryst. (1974), A30, 685-688] for identical cubic lattices is here proved efficient for discussing the pair axis/angle disorientations in more complicated cases: cubic 1/cubic 2; tetragonal 1/tetragonal 2; hexagonal 1/hexagonal 2; cubic/tetragonal; cubic/orthorhombic and cubic/hexagonal. The general expressions of equivalent quaternions are given for any point group of lattice 1 or lattice 2.