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

— —

Ulrich Müller (Retired Professor of Inorganic Chemistry, Retired Professor of Inorganic Chemistry, Philipps-Universität Marburg) Gemma de la Flor (Research Associate, Research Associate, Institut für Angewandte Geowissenschaften, Karlsruher Institut für Technologie)

Symmetry Relationships between Crystal Structures

Applications of Crystallographic Group Theory in Crystal Chemistry

Ulrich Müller (Retired Professor of Inorganic Chemistry, Retired Professor of Inorganic Chemistry, Philipps-Universität Marburg), Gemma de la Flor (Research Associate, Research Associate, Institut für Angewandte Geowissenschaften, Karlsruher Institut für Technologie)

$126.95

Hardback

Forthcoming
Pre-Order now

QTY:

English

Oxford University Press
25 November 2024

Condensed matter physics (liquid state & solid state physics); Chemical physics; Crystallography

Series: International Union of Crystallography Texts on Crystallography

In crystal chemistry and crystal physics, the relations between the symmetry groups (space groups) of crystalline solids are of particular importance. Part I 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 II 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 the 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 chemical reactions in the solid state, to understand the formation of domains and twins in crystals, and to avoid errors in crystal structure determinations. Part III delves further into some specific topics, namely the isomorphic subgroups of space groups, the theory of phase transitions, and computer programs dedicated to crystallographic group theory. In this new edition, several topics have been extended to cover the latest scientific findings, a new chapter has been added dealing with pertinent computer programs, and references have been updated.

By: Ulrich Müller (Retired Professor of Inorganic Chemistry Retired Professor of Inorganic Chemistry Philipps-Universität Marburg), Gemma de la Flor (Research Associate, Research Associate, Institut für Angewandte Geowissenschaften, Karlsruher Institut für Technologie)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Edition: 2nd Revised edition
Volume: 24
Dimensions: Height: 246mm, Width: 189mm,
ISBN: 9780192858320
ISBN 10: 0192858327
Series: International Union of Crystallography Texts on Crystallography
Pages: 400
Publication Date: 25 November 2024
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Forthcoming

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 and normalizers of space groups 9: Equivalent descriptions of crystal structures and chirality Part II - Symmetry Relations between Space Groups as a Tool to Disclose Connections between Crystal Structures 10: How to handle space groups 11: The group-theoretical presentation of crystal-chemical relationships 12: Symmetry relations between related crystal structures 13: Pitfalls when setting up group-subgroup relations 14: Derivation of crystal structures from closest packings of spheres 15: Crystal structures of molecular compounds 16: Symmetry relations at phase transitions 17: Topotactic reactions 18: Group-subgroup relations as an aid for structure determination 19: Prediction of possible structure types 20: Historical remarks Part III - Widening Excurses to Special Topics 21: Isomorphic subgroups 22: On the theory of phase transitions 23: Symmetry species 24: The Bilbao Crystallographic Server Appendices

Ulrich Müller studied chemistry at Technische Hochschule in Stuttgart, Germany from 1959 to 1966 and gained a PhD in Inorganic Chemistry. He worked as a Scientific assistant at Universität Karlsruhe, Germany, with H. Bärnighausen from 1967 to 1970 and was a Professor of Inorganic Chemistry at Universität Marburg, Germany, from 1972 to 1992 and 2000 to 2005. He was a Professor of Inorganic Chemistry at Universität Kassel, Germany, from 1992 to 2000, and a visiting Professor at Universidad de Costa Rica, 1975 to 1977. He retired in 2005. Gemma de la Flor studied physics at the University of the Basque Country, Spain from 2004 to 2009 and gained a PhD in Physics at the University of the Basque Country in 2014. She was a post-doc and a lecturer at the University of the Basque Country from 2014 to 2016. She held a post-doc position at Universität Hamburg, Germany, with Professor Boriana Mihailova from 2016 to 2018. Since 2019 she has been a research associate in the petrophysics department at the Karlsruher Institut für Technologie, Germany.

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

Review from previous edition Here we have a rigorous, carefully checked and polished text which, with its numerous examples and exercises, also perfectly fits the purpose of self-study ... This is a book that every crystallographer taking seriously their job should have on their shelf. * Acta Crystallographica B * Structural crystallographers in biology, chemistry and physics meet symmetry and sometimes relatively complicated cases. More can be made of symmetry relations too. This book takes the reader beyond structure. The book shows how to make use of the symmetry relations described in International Tables as well as understand, for example, crystal structure types, analyse phase transitions, domain formation and twinning in crystals as well as to avoid errors in crystal structure determinations such as choice of incorrect space group. Numerous chapter exercises are a distinctive feature and offer the possibility to apply the material that has been learnt; solutions to the exercises are at the end of the book. * John R. Helliwell, School of Chemistry, The University of Manchester *