Collins Anna
Chemistry, University of Oxford, Mansfield Road, Oxford OX2 3TA, England.
Acta Crystallogr B. 2006 Oct;62(Pt 5):897-911. doi: 10.1107/S0108768106025195. Epub 2006 Sep 18.
The positions of pairs of independent molecules in Z' = 2 structures have been surveyed for six of the most populated space groups for that class of structure. These results have been compared with the Z' = 1 situation to reveal whether there are any fundamental differences in the construction of the asymmetric units in these cases. The results indicate that, broadly speaking, the packing of the molecular pairs in Z' = 2 structures resembles that of single molecules in structures with Z' = 1; this similarity may be chiefly attributed to the constraints imposed by the symmetry operators of the space group. However, there are key differences, which are particularly marked in the space groups with higher symmetry, that indicate that the asymmetric units in Z' = 1 and Z' = 2 structures are not directly comparable. In those cases where the positions of the pair centroids in Z' = 2 structures are similar to the positions of molecular centroids for Z' = 1 structures, it follows that the molecular centroids in Z' = 2 structures must follow a different distribution. A different pattern is produced if the independent molecules in Z' = 2 structures behave like the individual molecules in Z' = 1 structures. These two scenarios combine to form the observed distributions of pair centroid positions.
对于该类结构中最常见的六种空间群,已对Z' = 2结构中独立分子对的位置进行了研究。已将这些结果与Z' = 1的情况进行比较,以揭示在这些情况下不对称单元的构建是否存在任何根本差异。结果表明,一般来说,Z' = 2结构中分子对的堆积类似于Z' = 1结构中单个分子的堆积;这种相似性可能主要归因于空间群对称算符所施加的限制。然而,存在一些关键差异,在具有较高对称性的空间群中尤为明显,这表明Z' = 1和Z' = 2结构中的不对称单元不可直接比较。在Z' = 2结构中对质心位置与Z' = 1结构中分子质心位置相似的那些情况下,Z' = 2结构中的分子质心必然遵循不同的分布。如果Z' = 2结构中的独立分子表现得像Z' = 1结构中的单个分子,则会产生不同的模式。这两种情况共同形成了观察到的对质心位置分布。