摘要
本文把晶胞正空间和倒易空间等效点的矩阵表示应用于讨论晶体X光衍射的系统消光规律,给出并证明了适用于所有空间群的系统消光规律的统一的代数表示公式。即:任意一晶胞正空间所对应的倒易空间,其所有的系统消光点中任意一点h必能满足下列两组公式中的一组: h(R_1-Rj)=0 h(R_1-R_j)=0 {hT_j=m+1/2 和{ hT_j=m+1/3 n=2k n=3k其中n为晶胞正空间等效点数目,m与k均为任意整数,j=l,2,……,n中任意一个数。反之亦然。
In this paper the matrix expressions of equivalent points of microcosmic symmetrygroups of crystal unit spaces and their corresponding reciprocal spaces are applied in the dis-cussion of the systematic absence law of the crystal's X-ray diffraction. The universallyvalid algebraic formulas for the systematic absence law for all space groups are establishedand proved. That is, an arbitrary point h of all systematic absence points of the correspond-ing reciprocal space of every crystal unit space must satisfy a certain group of the listed belowtwo groups of fortmulas:h(R_1-R_j)=0 h(R_1-R_j)=0hT_j=m+(1/2) and hT_j=m+(1/3)n=2k =3kHere n is the number of equivalent points of the crystal unit space, m and k are arbitrary in-tegers, j equals an arbitrary integer from 1, 2,…,to n. The converse proposition is also cor-rect.
关键词
系统消光
空间群
晶体
systematic absence
space group
reciprocal space
equivalent point
