Space Groups for Solid State Scientists

* **Praise for First Edition**''Space Groups for Solid State Scientists fills a definite need and fills it well....The book is clearly written, in a very readable style. It is lavishly illustrated and well printed. It contains many examples to illustrate the points being made, and these, together with the problems for solution at the end of each chapter, make it suitable for use as a textbook at the graduate level. In addition to its role as a guide to the International Tables the book is valuable for the research scientist because of the many tables it presents.''--PHYSICS TODAY''An understandable and comprehensive guide...Of particular interest in this new edition are the discussions of space groups application to such timely topics as high-temperature superconductors, phase transitions, semiconductor superlattices, incommensurate modulation, and icosahedral symmetry.''--SCITECH''The book will be extremely useful to those who are interested in improving their knowledge of space groups for the determination of complicated structures.''--MATHEMATICAL REVIEWS This comprehensively revised - essentially rewritten - new edition of the 1990 edition (described as 'extremely useful' by Mathematical Reviews and as 'understandable and comprehensive' by Scitech) guides readers through the dense array of mathematical information in the International Tables Volume A. Thus most scientists seeking to understand a crystal structure publication can do this from this book without necessarily having to consult the International Tables itself. This remains the only book aimed at non-crystallographers that is devoted to teaching them about crystallographic space groups. Researchers within the solid state frequently need to understand publications that use space group information and are invariably disappointed when they turn, necessarily, to the mammoth eight volume set International Tables of Crystallography - so complete and at the same time so closely written that those not trained explicitly in crystallography cannot understand the explanations given. Huge sections of the Tables are given over to extremely careful and elaborate explanations and definitions that may be of interest to those crystallographers specialising in symmetry, but tend to obscure the meanings for those who are not so inclined. Five editions have now published since the first compilation in 1983, incorporating a diverse panorama of new content, and even introducing new symmetry elements that had not been considered earlier. In addition, the International Union has recently brought out whole new tranches of content: Volume A1 (on subgroups) and Volume E (on frieze, rod and layer groups - important for the study of 1 and 2 dimensional systems, such as domain walls). Reflecting the bewildering array of recent changes to the International Tables, this new edition brings the standard of science well up-to-date, reorganizes the logical order of chapters, improves diagrams and presents clearer explanations to aid understanding Clarifies, condenses and simplifies the meaning of the deeply written, complete Tables of Crystallography into manageable chunks Provides a detailed, multi-factor, interdisciplinary explanation of how to use the International Tables for a number of possible, hitherto unexplored uses Presents essential knowledge to those needing the necessary but missing pedagogical support and detailed advice - useful for instance in symmetry of domain walls in solids This comprehensively revised - essentially rewritten - new edition of the 1990 edition (described as "extremely useful" by Mathematical Reviews and as "understandable and comprehensive" by Scitech) guides readers through the dense array of mathematical information in the International Tables Volume A. Thus, most scientists seeking to understand a crystal structure publication can do this from this book without necessarily having to consult the International Tables themselves. This remains the only book aimed at non-crystallographers devoted to teaching them about crystallographic space groups. Key Features: --Reflecting the bewildering array of recent changes to the International Tables, this new edition brings the standard of science well up-to-date, reorganizes the logical order of chapters, improves diagrams and presents clearer explanations to aid understanding, --Clarifies, condenses and simplifies the meaning of the deeply written, complete Tables of Crystallography into manageable chunks, --Provides a detailed, multi-factor, interdisciplinary explanation of how to use the International Tables for a number of possible, hitherto unexplored uses, --Presents essential knowledge to those needing the necessary but missing pedagogical support and detailed advice - useful for instance in symmetry of domain walls in solids. Authors: Gerald Burns, (1932-1991) IBM Thomas J. Watson Research Center, Yorktown Heights, New York. A.M. Glazer, Emeritus Fellow of Jesus College, Oxford, England

This comprehensively revised – essentially rewritten – new edition of the 1990 edition (described as "extremely useful" by MATHEMATICAL REVIEWS and as "understandable and comprehensive" by Scitech) guides readers through the dense array of mathematical information in the International Tables Volume A. Thus, most scientists seeking to understand a crystal structure publication can do this from this book without necessarily having to consult the International Tables themselves. This remains the only book aimed at non-crystallographers devoted to teaching them about crystallographic space groups.

• Reflecting the bewildering array of recent changes to the International Tables, this new edition brings the standard of science well up-to-date, reorganizes the logical order of chapters, improves diagrams and presents clearer explanations to aid understanding
• Clarifies, condenses and simplifies the meaning of the deeply written, complete Tables of Crystallography into manageable chunks
• Provides a detailed, multi-factor, interdisciplinary explanation of how to use the International Tables for a number of possible, hitherto unexplored uses
• Presents essential knowledge to those needing the necessary but missing pedagogical support and detailed advice – useful for instance in symmetry of domain walls in solids

Content: Front Matter , Pages ii-iii Copyright , Page iv Preface , Pages ix-xiii Chapter 1 - Point Symmetry Operations , Pages 1-23 Chapter 2 - Crystal Systems , Pages 25-44 Chapter 3 - Bravais Lattices , Pages 45-64 Chapter 4 - Crystallographic Point Groups , Pages 65-84 Chapter 5 - Development of Space Groups , Pages 85-151 Chapter 6 - Reading the Tables , Pages 153-186 Chapter 7 - Space Group Applications , Pages 187-274 Chapter 8 - Antisymmetry , Pages 275-309 Appendix 1 - Matrices Representing the Symmetry Operations , Pages 311-317 Appendix 2 - Crystal Families, Systems, and Bravais Lattices , Pages 319-320 Appendix 3 - The 14 Bravais Lattices , Pages 321-324 Appendix 4 - The 32 Crystallographic Point Groups , Pages 325-326 Appendix 5 - Diagrams for the 32 Point Groups , Pages 327-330 Appendix 6 - Symbols , Pages 331-335 Appendix 7 - The Space Groups , Pages 337-345 Appendix 8 - The Reciprocal Lattice and Diffraction , Pages 347-357 Appendix 9 - Some Interesting Structures , Pages 359-369 Appendix 10 - Translational Subgroups of Magnetic Space Groups , Pages 371-375 Appendix 11 - Cubic Space Group Diagrams , Pages 377-379 Appendix 12 - Pitfalls , Pages 381-382 Bibliography , Pages 383-385 Solutions , Pages 387-399 Formula Index , Pages 401-402 Index , Pages 403-408 Praise for First Edition ''Space Groups for Solid State Scientists fills a definite need and fills it well....The book is clearly written, in a very readable style. It is lavishly illustrated and well printed. It contains many examples to illustrate the points being made, and these, together with the problems for solution at the end of each chapter, make it suitable for use as a textbook at the graduate level. In addition to its role as a guide to the International Tables the book is valuable for the research scientist because of the many tables it presents.''--PHYSICS TODAY ''An understandable and comprehensive guide...Of particular interest in this new edition are the discussions of space groups application to such timely topics as high-temperature superconductors, phase transitions, semiconductor superlattices, incommensurate modulation, and icosahedral symmetry.''--SCITECH ''The book will be extremely useful to those who are interested in improving their knowledge of space groups for the determination of complicated structures.''--MATHEMATICAL REVIEWS