对称群表的系统校验

SYSTEMATIC CHECK OF SYMMETRY GROUP TABLES

本文应用结构因子类型定理,对《X-光晶体学国际表,第一卷》进行了系统较验,其中包括系统消光条件,相角类型及其表达式(一般型、实型、虚型及±π/4型和±3/4π型)对于有错误或不完善的15个空间群,其正误对照列于下表,其它空间群都是正确的。 对230个空间群的逐一计算,证明这套定理是满足充分必要条件的。

Using the theorems of structure factor type[1,2], we have systematically checked systematic extinction conditions, the conditions of special type phase (0-π, ±π/2, ±π/4 and ±π/4) and general type phase in International Tables for X-Ray Cryst. Vol. 1[3], The results for 15 s. g. are given the above table. The rest (215 space groups) are all right.