Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in Crystal Chemistry
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.
1114184470
Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in Crystal Chemistry
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.
45.99 In Stock
Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in Crystal Chemistry

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

by Ulrich Müller
Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in Crystal Chemistry
Add to Wishlist
Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in Crystal Chemistry

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

by Ulrich Müller

Overview

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.

Product Details

ISBN-13: 9780191648809
Publisher: OUP Oxford
Publication date: 04/04/2013
Series: International Union of Crystallography Texts on Crystallography , #18
Sold by: Barnes & Noble
Format: eBook
File size: 49 MB
Note: This product may take a few minutes to download.

About the Author

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.

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
From the B&N Reads Blog
Page 1 of

Related Subjects

Science & Technology
Earth Science
Crystallography
Science & Technology
Earth Science
Crystallography

Customer Reviews