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本文用矩阵及数论分析方法给出了重位点阵的两种新的解法。在此基础上对相重阵点判别式进行归并,使有重位点阵关系两相复合点阵问题的处理大为简化。证明了整个立方晶系的自重合问题,绝大多数非立方晶系的自重合问题以及一部分互重合问题,都可以通过判别式的归并得以简化。Two new methods to find the basic vector correspondence matrix of the coincidence site lattice for two phases have been developed by means of theory of matrix and elementary theory of numbers. Based on these methods the three equations which are applied to find a coincidence site lattice have been incoporated into a single one so that the problems concerning the composite lattice of two phases with a coincidence site lattice relationship are greatly simplified. It has been verified that the whole of selfcoincidence problems in the cubic system, the most of self-coincidence problems in non-cubic systems and a part of inter-coincidence problems can be simplified by the incorporating of discriminant equations.
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