Symmetry Relationships between Crystal Structures
晶体结构间的对称关系
Author: Ulrich Muller
原文地址：https://www.zhisci.com/pdfshow/17904
In crystal chemistry and crystal physics, the relations between the symmetry groups (space groups) of crystalline solids are of special importance. Part 1 of this book presents the necessary mathematical foundations and tools: the fundamentals of crystallography with special emphasis on symmetry, the theory of the crystallographic groups, and the formalisms of the needed crystallographic computations. Part 2 gives an insight into applications to problems in crystal chemistry. With the aid of numerous examples, it is shown how crystallographic group theory can be used to make evident relationships between crystal structures, to set up a systematic order in the huge amount of known crystal structures, to predict crystal structures, to analyse phase transitions and topotactic reactions in the solid state, to understand the formation of domains and twins in crystals, and to avoid errors in crystal structure determinations.
在晶体化学和晶体物理中，晶体固体的对称群（空间群）之间的关系特别重要。这本书的第一部分介绍了必要的数学基础和工具：结晶学的基本原理，特别强调对称性，结晶学群的理论，以及所需晶体学计算的形式。第2部分将深入了解晶体化学问题的应用。通过大量的实例，说明了如何运用结晶学群论来明确晶体结构之间的关系，在大量已知晶体结构中建立系统的秩序，预测晶体结构，分析固态相变和拓扑反应，了解晶体中畴和孪晶的形成，避免晶体结构测定中的误差。
A broad range of end-of-chapter exercises offers the possibility to apply the learned material. Worked-out solutions to the exercises can be found at the end of the book.
广泛的章末练习提供了应用所学材料的可能性。练习的解答可以在书的末尾找到。
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