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International Tables for Crystallography, Volume A, 5th Edition, Space-Group Symmetry

Theo Hahn (Editor)
ISBN: 978-0-470-68908-0
932 pages
June 2005
International Tables for Crystallography, Volume A, 5th Edition, Space-Group Symmetry (0470689080) cover image


International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.

Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the structure and properties of materials. Emphasis is given to symmetry, diffraction methods and techniques of crystal-structure determination, and the physical and chemical properties of crystals. The data are accompanied by discussions of theory, practical explanations and examples, all of which are useful for teaching.

Volume A treats crystallographic symmetry in direct or physical space. It contains extensive tabulations and illustrations of the 17 plane groups, the 230 space groups and the 32 crystallographic point groups. Parts 1-5 of the volume present introductory material, including lists of symbols and terms, a guide to the use of the space-group tables, and the determination of space groups. Later parts discuss aspects of symmetry theory, such as crystal lattices and normalizers of space groups.

Thoroughly updated and improved, the latest edition of Volume A includes an additional chapter on further properties of lattices.

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Table of Contents

Foreword to the First Edition (Th. Hahn).

Foreword to the Second, Revised Edition (Th. Hahn).

Foreword the Third, Revised Edition (Th. Hahn).

Foreword the Fourth, Revised Edition (Th. Hahn).

Foreword to the Fifth, Revised Edition (Th. Hahn).

Preface (Th. Hahn).

Computer production of Volume A (D. S. Fokkema, I. Aroyo and P. B. Konstantinov).

Part 1. Symbols and Terms Used in This Volume.

1.1 Printed symbols for crystallographic items (Th. Hahn).

1.2 Printed symbols for conventional centring types (Th. Hahn).

1.3 Printed symbols for symmetry elements (Th. Hahn).

1.4 Graphical symbols for symmetry elements in one, two and three dimensions (Th. Hahn).

Part 2. Guide to the Use of the Space-Group Tables.

2.1 Classification and coordinate systems of space groups (Th. Hahn and A. Looijenga-Vos).

2.2 Contents and arrangement of the tables (Th. Hahn and A. Looijena-Vos).

Part 3. Determination of Space Groups. 

3.1 Space-group determination and diffraction symbols (A. Looiejenga-Vos and M. J. Buerger).

Part 4.   Synopitc Tables of Space-Group Symbols.

4.1 Introduction to the synoptic tables (E. F. Bertaut).

4.2 Symbols for plane groups (two-dimensional space groups) (E. F. Bertaut).

4.3 Symbols for space groups (E. F. Bertaut).

Part 5. Transformations in Crystallography.

5.1 Transformation of the coordinate system (unit-cell transformations) (H. Arnold).

5.2 Transformations of symmetry operations (motions) (H. Arnold).

Part 6. The 17 Plane Groups (Two-Dimensional Space Groups).

Part 7. The 230 Space Groups.

Part 8. Introduction to Space-Group Symmetry.

8.1 Basic concepts (H. Wondratschek).

8.2 Classifications of space groups, point groups and lattices (H. Wondratschek).

8.3 Special topics on space groups (H. Wondratschek).

Part 9. Crystal Lattices.

9.1 Bases, lattices, Bravais lattices and other classifications (H. Burzlaff and Zimmermann).

9.2 Reduced bases (P. M. De Wolff).

9.3 Further properties of lattices (B. Gruber).

Part 10. Point Groups and Crystal Classes.

10.1 Crystallographic and noncrystallographic point groups (Th. Hahn and H. Klapper).

10.2 Point-group symmetry and physical properties of crystals (H. Klapper and Th. Hahn).

Part 11. Symmetry Operations.

11.1 Point coordinates, symmetry operations and their symbols (W. Fischer and E. Koch).

11.2 Derivation of symbols and coordinate triplets (W. Fischer and E. Koch with Tables and by H. Arnold).

Part 12. Space-Group Symbols and Their Use.

12.1 Point-group symbols (H. Burzlaff and H. Zimmermann).

12.2 Space-group symbols (H. Burzlaff and H. Zimmermann).

12.3 Properties of the international symbols (H. Burzlaff and H. Zimmermann).

12.4 Changes introduced in space-group symbols since 1935 (H. Burzlaff and H. Zimmermann).

Part 13. Isomorphic Subgroups of Space Groups.

13.1 Isomorphic subgroups (Y. Billiet and E. F. Bertaut).

13.2 Derivative lattices (Y. Billiet and E. G. Bertaut).

Part 14. Lattice Complexes.

14.1 Introduction and definition (W. Fischer and E. Koch)

14.2 Symbols and properties of lattice complexes (W. Fischer and E. Koch).

14.3 Applications of the lattice-complex concept (W. Fischer and E. Koch).

Part 15. Normalizers of Space Groups and Their Use in Crystallography.

15. 1 Introduction and definitions (E. Koch, W. Fischer and U. Müller).

15.2 Euclidean and affine normalizers of plane groups and space groups (E. Koch, W. Fischer and U. Muller).

15.3 Nornalizers of point Groups (E. Koch and W. Fischer).


Author Index.

Subject Index. 

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