Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in Crystal Chemistry
Year: 2013
Type: article
Abstract: 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
Author: Ulrich Müller
Language: English
Field: Materials Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W627728882