Symmetry Relationships between Crystal Structures Applications of Crystallographic Group Theory in Crystal Chemistry

by Müller, Ulrich

• ISBN13: 9780198807209
• ISBN10: 0198807201
• Edition: Reprint
• Format: Paperback
• Copyright: 2017-08-15
• Publisher: Oxford University Press

Author Biography

Ulrich Müller, Fachbereich Chemie, Philipps-Universität Marburg, Germany

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 Inorganic Chemistry at the University of Marburg, Gemany, in 1972. From 1992 to 1999 he was professor of solid state chemistry at the University of Kassel, Germany, and then returned to the University of Marburg. He is now retired since 2005. He is the author of several textbooks in chemistry for beginners and advanced students.

Table of Contents

1. Introduction
Part I: Crystallographic Foundations
2. Basics of crystallography, part 1
3. Mappings
4. Basics of crystallography, part 2
5. Group theory
6. Basics of crystallography, part 3
7. Subgroups and supergroups of point and space groups
8. Conjugate subgroups, normalizers and equivalent descriptions of crystal structures
9. How to handle space groups
Part II: Symmetry Relations between Space Groups as a Tool to disclose Connections between Crystal Structures
10. The group-theoretical presentation of crystal-chemical relationships
11. Symmetry relations between between related crystal structures
12. Pitfalls when setting up group-subgroup relations
13. Derivation of crystal structures from closest packings of spheres
14. Crystal structures of molecular compounds
15. Symmetry relations at phase transitions
16. Topotactic reactions
17. Group-subgroup relations as an aid for structure determination
18. Prediction of possible structure types
19. 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
1. Introduction
Part I: Crystallographic Foundations
2. Basics of crystallography, part 1
3. Mappings
4. Basics of crystallography, part 2
5. Group theory
6. Basics of crystallography, part 3
7. Subgroups and supergroups of point and space groups
8. Conjugate subgroups, normalizers and equivalent descriptions of crystal structures
9. How to handle space groups
Part II: Symmetry Relations between Space Groups as a Tool to disclose Connections between Crystal Structures
10. The group-theoretical presentation of crystal-chemical relationships
11. Symmetry relations between between related crystal structures
12. Pitfalls when setting up group-subgroup relations
13. Derivation of crystal structures from closest packings of spheres
14. Crystal structures of molecular compounds
15. Symmetry relations at phase transitions
16. Topotactic reactions
17. Group-subgroup relations as an aid for structure determination
18. Prediction of possible structure types
19. 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