Space Groups for Solid State Scientists

3rd Edition

Authors: Michael Glazer Gerald Burns
Hardcover ISBN: 9780123944009
eBook ISBN: 9780123946157
Imprint: Academic Press
Published Date: 20th February 2013
Page Count: 432
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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

Table of Contents

Front Matter


Chapter 1. Point Symmetry Operations

What is Symmetry?

1.1 Symmetry Operations

1.2 Point Symmetry Operations

1.3 Hexagonal Coordinates

Chapter 2. Crystal Systems

Haüy’s Legacy

2.1 Lattice

2.2 Unit Cell

2.3 Crystal Structure

2.4 Crystal Systems

2.5 Summary

Chapter 3. Bravais Lattices

Symmetry and Lattices

3.1 Centering of Lattices

3.2 The 14 Bravais Lattices

3.3 Primitive Cells of the 14 Bravais Lattices

3.4 The Wigner–Seitz Unit Cell

3.5 Two-Dimensional Lattices

Chapter 4. Crystallographic Point Groups

Introduction to Groups

4.1 Development of Crystallographic Point Groups

4.2 The Point Groups for Each Crystal System

4.3 The 32 Point Groups from Holohedries

4.4 Laue Classes and Groups

4.5 Point Group Notation

Chapter 5. Development of Space Groups

Space Group Operators

5.1 The Symmorphic Space Groups

5.2 Non-Symmorphic Operations

5.3 Point Group of a Space Group

5.4 Space Groups

5.5 Derivation of Space Groups

5.6 Space Group Classifications

5.7 Two-Dimensional Space Groups

5.8 Subperiodic Groups


Chapter 6. Reading the Tables

What Does the ITA Tell Us?

6.1 Crystal Structure and Space Groups

6.2 ‘Typical’ Pages of the ITA

6.3 Example Pages from the ITA

6.4 Subgroups and Supergroups

6.5 Space Group Symmetry Operations

6.6 Hall Space Group Symbols

Chapter 7. Space Group Applications

And Now Atoms

7.1 Face-Centered Cubic Structures

7.2 Primitive Cubic Structures

7.3 Body-Centered Cubic Structures

7.4 Diamond Structure

7.5 Spinel Structure

7.6 Zinc Sulphide Structure

7.7 Chalcopy


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© Academic Press 2013
Academic Press
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About the Author

Michael Glazer

Gerald Burns

Affiliations and Expertise

IBM Thomas J. Watson Research Center, Yorktown Heights, New York


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