Symmetry Relationships between Crystal Structures
晶體結(jié)構(gòu)間的對稱關(guān)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(xué)和晶體物理中，晶體固體的對稱群（空間群）之間的關(guān)系特別重要。這本書的第一部分介紹了必要的數(shù)學(xué)基礎(chǔ)和工具：結(jié)晶學(xué)的基本原理，特別強調(diào)對稱性，結(jié)晶學(xué)群的理論，以及所需晶體學(xué)計算的形式。第2部分將深入了解晶體化學(xué)問題的應(yīng)用。通過大量的實例，說明了如何運用結(jié)晶學(xué)群論來明確晶體結(jié)構(gòu)之間的關(guān)系，在大量已知晶體結(jié)構(gòu)中建立系統(tǒng)的秩序，預(yù)測晶體結(jié)構(gòu)，分析固態(tài)相變和拓撲反應(yīng)，了解晶體中疇和孿晶的形成，避免晶體結(jié)構(gòu)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(xí)提供了應(yīng)用所學(xué)材料的可能性。練習(xí)的解答可以在書的末尾找到。

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