Symmetry Relationships between Crystal Structures
Applications of Crystallographic Group Theory in Crystal Chemistry
Series: International Union of Crystallography Texts on Crystallography; 24;
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Product details:
- Edition number 2
- Publisher OUP Oxford
- Date of Publication 25 November 2024
- ISBN 9780192858320
- Binding Hardback
- No. of pages400 pages
- Size 252x194x26 mm
- Weight 1010 g
- Language English
- Illustrations 189 illustrations 665
Categories
Short description:
An essential property of crystalline solids are their symmetries, which are covered by mathematical groups called space groups. This book explains the corresponding mathematical tools and how the space groups can be used to make evident the relationships between crystal structures and to analyse physical phenomena such as structural transitions.
MoreLong description:
In crystal chemistry and crystal physics, the relations between the symmetry groups (space groups) of crystalline solids are of particular importance. Part I 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 II 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 the 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 chemical reactions in the solid state, to understand the formation of domains and twins in crystals, and to avoid errors in crystal structure determinations. Part III delves further into some specific topics, namely the isomorphic subgroups of space groups, the theory of phase transitions, and computer programs dedicated to crystallographic group theory. In this new edition, several topics have been extended to cover the latest scientific findings, a new chapter has been added dealing with pertinent computer programs, and references have been updated.
Review from previous edition Here we have a rigorous, carefully checked and polished text which, with its numerous examples and exercises, also perfectly fits the purpose of self-study ... This is a book that every crystallographer taking seriously their job should have on their shelf.
Table of Contents:
Introduction
Part I - Crystallographic Foundations
Basics of crystallography, part 1
Mappings
Basics of crystallography, part 2
Group theory
Basics of crystallography, part 3
Subgroups and supergroups of point and space groups
Conjugate subgroups and normalizers of space groups
Equivalent descriptions of crystal structures and chirality
Part II - Symmetry Relations between Space Groups as a Tool to Disclose Connections between Crystal Structures
How to handle space groups
The group-theoretical presentation of crystal-chemical relationships
Symmetry relations between related crystal structures
Pitfalls when setting up group-subgroup relations
Derivation of crystal structures from closest packings of spheres
Crystal structures of molecular compounds
Symmetry relations at phase transitions
Topotactic reactions
Group-subgroup relations as an aid for structure determination
Prediction of possible structure types
Historical remarks
Part III - Widening Excurses to Special Topics
Isomorphic subgroups
On the theory of phase transitions
Symmetry species
The Bilbao Crystallographic Server
Appendices
