Symmetry Relationships between Crystal Structures

Erscheinungsjahr 2016
ISBN: 978-0-19-966995-0
Verlag: ACADEMIC

Buch, Englisch, 352 Seiten, Format (B × H): 194 mm x 252 mm, Gewicht: 878 g

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.

Zielgruppe

Advanced students (including Ph.D. candidates) of inorganic chemistry, crystallography, and mineralogy. Researchers and lecturers in the fields of solid state chemistry, crystallography, mineralogy, materials science, and solid state physics.

Autoren/Hrsg.

Müller, Ulrich

Fachgebiete

• Geowissenschaften Geologie Petrologie, Mineralogie
• Naturwissenschaften Physik Angewandte Physik Chemische Physik
• Naturwissenschaften Chemie Physikalische Chemie Chemische Kristallographie
• Naturwissenschaften Chemie Anorganische Chemie Festkörperchemie
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie

Inhaltsverzeichnis

- 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

Über Autor(innen)

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.