Symmetry Relationships between Crystal Structures
晶體結構間的對稱關系

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.
在晶體化學和晶體物理中，晶體固體的對稱群（空間群）之間的關系特別重要。這本書的第一部分介紹了必要的數學基礎和工具：結晶學的基本原理，特別強調對稱性，結晶學群的理論，以及所需晶體學計算的形式。第2部分將深入了解晶體化學問題的應用。通過大量的實例，說明了如何運用結晶學群論來明確晶體結構之間的關系，在大量已知晶體結構中建立系統的秩序，預測晶體結構，分析固態相變和拓撲反應，了解晶體中疇和孿晶的形成，避免晶體結構測定中的誤差。

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.
廣泛的章末練習提供了應用所學材料的可能性。練習的解答可以在書的末尾找到。

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