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最近我们应用结构因子类型定理,对《X-光结晶学国际表》(第一卷)进行了系统校验。并以最简明的列表方式扼要地报导了全部结果。在文献中最引人注目的是No.134(P4_2/nnm,原点在42m) 空间群.它的结构因子总公式有错误。可见,关于这个空间群的其它推论,只要以总公式为基础,就不可能正确。本文将论证这一重要问题,关于文献中指出的其它14个空间群的错误,可以用类似的方法论证。
Recently we applied the structural factor type theorem to systematically validate the International Table of X-ray Crystallography (Volume I). And the concise list summarizes all the results. Most notable in the literature is the space group No.134 (P4_2 / nnm with an origin of 42m), which has the wrong general formula of structural factor. It can be seen that other inferences about this space group can not be correct as long as they are based on the general formula. This article will demonstrate that this important issue is validated in a similar way with regard to the errors of the other 14 space groups pointed out in the literature.