A unique description of the relative orientation of neighbouring grains
A unique description of the relative orientation of neighbouring grains
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对相邻晶粒相对方向的独特描述
DOI：
10.1107/s0567739480000861
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发表时间：
1980
期刊：
影响因子：
--
通讯作者：
H. Grimmer
中科院分区：
文献类型：
--
作者：
H. Grimmer
如果N表示晶格的对称旋转数，则连接该晶格的两个取向的不同旋转数n是N的倍数和2N2的因子。在这n个等效旋转中，考虑具有最小角度的旋转。通常有一个，但在特殊情况下有两个或三个，其中有其轴在标准的立体三角形，被称为定向障碍。如何等效的取向差连接对称旋转和如何数量，n，可以找到任何取向差的等效旋转。提出了在失向中选择唯一的约化旋转的附加条件。
If N denotes the number of symmetry rotations of a crystal lattice, the number, n, of different rotations connecting two orientations of this lattice is a multiple of N and a factor of 2N2. Among these n equivalent rotations those with minimum angle are considered. Usually one, but in exceptional cases two or three, of these has its axis in the standard stereographic triangle and is called a disorientation. How equivalent disorientations are connected by symmetry rotations and how the number, n, of equivalent rotations can be found for any disorientation are shown. Additional conditions for selecting a unique reduced rotation among the disorientations are proposed.