Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in Crystal Chemistry
Ulrich Müller
Abstract
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 is devoted to the applications in crystal chemistry. With the aid of numerous examples it is shown how crystallographic group theory can be used to make evident relationships between cryst ... More
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 is devoted to the applications 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.
Keywords:
crystal physics,
space groups,
crystal structures,
crystallography,
domains,
symmetry,
phase transitions,
topotactic reactions
Bibliographic Information
| Print publication date: 2013 |
Print ISBN-13: 9780199669950 |
| Published to Oxford Scholarship Online: December 2013 |
DOI:10.1093/acprof:oso/9780199669950.001.0001 |
Authors
Affiliations are at time of print publication.
Ulrich Müller, author
Fachbereich Chemie, Philipps-Universität Marburg, Germany
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