Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in Crystal Chemistry by Ulrich Muller

Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in…

byUlrich Muller

Hardcover | June 2, 2013

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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 onsymmetry, 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 makeevident 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 toavoid 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.

About The Author

Ulrich Muller was born in Colombia in 1940. He studied chemistry in Germany. His Ph.D. work (1964 - 1966) was performed in Inorganic Chemistry, partly at the University of Stuttgart, Germany, partly at Purdue University, Indiana, USA. After post-doctoral work at the University of Karlsruhe, Germany, he was appointed as Professor of Ino...
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Title:Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in…Format:HardcoverDimensions:360 pages, 9.69 × 7.44 × 0 inPublished:June 2, 2013Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199669953

ISBN - 13:9780199669950

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Table of Contents

1. IntroductionPart I: Crystallographic Foundations2. Basics of crystallography, part 13. Mappings4. Basics of crystallography, part 25. Group theory6. Basics of crystallography, part 37. Subgroups and supergroups of point and space groups8. Conjugate subgroups, normalizers and equivalent descriptions of crystal structures9. How to handle space groupsPart II: Symmetry Relations between Space Groups as a Tool to disclose Connections between Crystal Structures10. The group-theoretical presentation of crystal-chemical relationships11. Symmetry relations between between related crystal structures12. Pitfalls when setting up group-subgroup relations13. Derivation of crystal structures from closest packings of spheres14. Crystal structures of molecular compounds15. Symmetry relations at phase transitions16. Topotactic reactions17. Group-subgroup relations as an aid for structure determination18. Prediction of possible structure types19. Historical remarksAppendix A: Isomorphic subgroupsAppendix B: On the theory of phase transitionsAppendix C: Symmetry speciesAppendix D: Solutions to the exercisesReferencesGlossaryIndex