A classification scheme relating the chirality of molecules to the type of crystal structures (chiral or achiral) they may form is presented. With respect to similar classifications proposed in the past, some corrections and extensions are introduced. In particular, (1) it is shown that chiral crystal structures from achiral molecules can occur in 28 types of space group having screw axes n_p, with p ≠ n/2, not in any Sohncke type of space group; (2) it is shown that the restriction on Z′ > 1 for kryptoracemates is contradicted by examples with Z′ = 1; and (3) the case of scalemic enantioenriched solutions, absent from most classifications, is included. Chiral crystal structures from purely inorganic (non-molecular) compounds are addressed too.

中文翻译：

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晶体的对称性和手性

提出了一种将分子手性与其可能形成的晶体结构类型（手性或非手性）相关联的分类方案。针对过去提出的类似分类，引入了一些修正和扩展。特别是，（1）表明非手性分子的手性晶体结构可以出现在具有螺旋轴n _{p 的}28 种空间群中，其中p ≠ n /2，而不出现在任何 Sohncke 类型的空间群中；(2) 表明对氪外消旋体Z ′ > 1的限制与Z的例子相矛盾' = 1; (3) 包括在大多数分类中不存在的尺度对映体富集溶液的情况。来自纯无机（非分子）化合物的手性晶体结构也得到了解决。