DISORIENTATIONS AND COINCIDENCE ROTATIONS FOR CUBIC LATTICES
DISORIENTATIONS AND COINCIDENCE ROTATIONS FOR CUBIC LATTICES
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DOI：
10.1107/s0567739474001719
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发表时间：
1974-01-01
期刊：
影响因子：
--
通讯作者：
GRIMMER, H
中科院分区：
文献类型：
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作者：
GRIMMER, H
作为立方对称操作的结果，有多达1152个旋转描述两个立方晶格的相同相对取向。这些等效旋转之间的关系是透明的，它显示了如何通常的定义必须修改，以便在每种情况下，定义挑选出一个唯一的旋转之间的所有等效的。一个方便的方法来确定所有的类的旋转，导致重合点晶格的一个给定的密度，并找到在每个类的旋转数。
As a result of the cubic symmetry operations there are up to 1152 rotations describing the same relative orientation of two cubic lattices. The relation between these equivalent rotations is made transparent and it is shown how the usual definition of the disorientation has to be modified so that, in each case, the definition picks out a unique rotation among all the equivalent ones. A convenient method is described for determining all the classes of rotation that lead to coincidence-site lattices of a given density and for finding the number of rotations in each class.