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.
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.
Ulrich Müller 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.
Inhaltsangabe
* 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
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