Symmetry Relationships between Crystal Structures
Applications of Crystallographic Group Theory in Crystal Chemistry
Sorozatcím: International Union of Crystallography Texts on Crystallography; 18;
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A termék adatai:
- Kiadó OUP Oxford
- Megjelenés dátuma 2017. június 15.
- ISBN 9780198807209
- Kötéstípus Puhakötés
- Terjedelem352 oldal
- Méret 245x189x17 mm
- Súly 706 g
- Nyelv angol
- Illusztrációk 130 b/w illustrations 40
Kategóriák
Rövid leírás:
The book presents the basic information needed to understand and to organize the huge amount of known structures of crystalline solids. Its basis is crystallographic group theory (space group theory), with special emphasis on the relations between the symmetry properties of crystals.
TöbbHosszú leírás:
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.
Here we have ... a rigorous, carefully checked and polished text which ... we have a reference text which, with its numerous examples and exercises, also perfectly fits the purpose of self-study, provided the reader is sufficiently familiar with space-group theory ... This is a book that every crystallographer taking seriously his job should have on his shelf.
Tartalomjegyzék:
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, normalizers and equivalent descriptions of crystal structures
How to handle space groups
Part II: Symmetry Relations between Space Groups as a Tool to disclose Connections between Crystal Structures
The group-theoretical presentation of crystal-chemical relationships
Symmetry relations between 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
Appendix A: Isomorphic subgroups
Appendix B: On the theory of phase transitions
Appendix C: Symmetry species
Appendix D: Solutions to the exercises
References
Glossary
Index
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, normalizers and equivalent descriptions of crystal structures
How to handle space groups
Part II: Symmetry Relations between Space Groups as a Tool to disclose Connections between Crystal Structures
The group-theoretical presentation of crystal-chemical relationships
Symmetry relations between 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
Appendix A: Isomorphic subgroups
Appendix B: On the theory of phase transitions
Appendix C: Symmetry species
Appendix D: Solutions to the exercises
References
Glossary
Index
