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本文分析了晶体三斜坐标系绕一基矢转动后,新旧基矢间的线性变换关系,推导出描述这个变换的矩阵;这一矩阵能够描述各种晶体坐标系的转动。推导出晶体空间任一矢量绕某个轴转动θ角的指数变换矩阵,提出了一个计算这些指数变换的方法;并且给出了另一种更为简化的方法。还涉及了对非180°旋转孪晶的分析。
In this paper, we analyze the linear transformation relationship between the new and old fundamental vectors when the crystal triclinic coordinate system rotates around a basic vector and deduce the matrix describing the transformation. This matrix can describe the rotation of various crystal coordinate systems. An exponential transformation matrix of angle θ around any axis of any vector in the crystal space is deduced. A new method to calculate these exponential transformations is proposed. A more simplified method is given. Also involved is the analysis of non-180 ° twins.