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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.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.
This text investigates the application of crystallographic group theory to establish systematic relationships between the structures of crystalline solids. Ulrich Muller, a distinguished scholar in inorganic chemistry, provides a rigorous framework for understanding space groups and their implications in crystal chemistry. By bridging mathematical theory with practical chemical analysis, the book offers a methodology for classifying structures, predicting phase transitions, and refining structural determinations.
What You Will Find
Experts recognize this volume as a foundational reference for researchers and graduate students in solid-state chemistry and materials science. Readers frequently note the technical density of the prose, which requires a solid background in mathematics and crystallography to fully utilize the provided methodologies.
Page Count:
352
Publication Date:
2017-08-15
Publisher:
Oxford University Press
ISBN-10:
0198807201
ISBN-13:
9780198807209
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