E-Book Overview
Volume A treats crystallographic symmetry in direct or physical space.The first five parts of the volume contain introductory material: lists of symbols and terms; a guide to the use of the space-group tables; the determination of space groups; synoptic tables of space-group symbols; and unit-cell (coordinate) transformations. These are followed by the plane-group and space-group tables.The rest of the volume is at a much higher theoretical level than Parts 1 to 5; it has many features of an advanced textbook of crystallography. Parts 8 to 15 deal with the following aspects of symmetry theory: the mathematical approach to space groups; crystal lattices; point groups and crystal classes; symbols for symmetry operations; symbols for space groups; isomorphic subgroups of space groups; lattice complexes; and normalizers of space groups.Volume A is designed not only for professional crystallographers, but also for chemists, physicists, mineralogists, biologists and material scientists who employ crystallographic methods and who are concerned with the structure and the properties of crystalline materials.
E-Book Content
INT E R NAT I ONAL T AB L E S FOR C RYST AL L OGR APHY
International Tables for Crystallography Volume A: Space-Group Symmetry Editor Theo Hahn First Edition 1983, Fifth Edition 2002 Corrected Reprint 2005 Volume A1: Symmetry Relations between Space Groups Editors Hans Wondratschek and Ulrich Mu¨ller First Edition 2004 Volume B: Reciprocal Space Editor U. Shmueli First Edition 1993, Second Edition 2001 Volume C: Mathematical, Physical and Chemical Tables Editor E. Prince First Edition 1992, Third Edition 2004 Volume D: Physical Properties of Crystals Editor A. Authier First Edition 2003 Volume E: Subperiodic Groups Editors V. Kopsky´ and D. B. Litvin First Edition 2002 Volume F: Crystallography of Biological Macromolecules Editors Michael G. Rossmann and Eddy Arnold First Edition 2001
Forthcoming volumes Volume G: Definition and Exchange of Crystallographic Data Editors S. R. Hall and B. McMahon
INTERNATIONAL TABLES FOR CRYSTALLOGRAPHY
Volume A SPACE-GROUP SYMMETRY
Edited by THEO HAHN
Fifth edition
Published for
T HE I NT E RNAT IONAL UNION OF C RYST AL L OGR APHY by
SPRINGE R 2005
A C.I.P. Catalogue record for this book is available from the Library of Congress ISBN 0-7923-6590-9 (acid-free paper) ISSN 1574-8707
Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands Sold and distributed in North, Central and South America by Springer, 101 Philip Drive, Norwell, MA 02061, USA In all other countries, sold and distributed by Springer, P.O. Box 322, 3300 AH Dordrecht, The Netherlands
Technical Editors: D. W. Penfold, M. H. Dacombe, S. E. Barnes and N. J. Ashcroft First published in 1983 Reprinted with corrections 1984 Second, revised edition 1987 Reprinted with corrections 1989 Third, revised edition 1992 Fourth, revised edition 1995 Reprinted with corrections 1996 Reprinted 1998 Fifth, revised edition 2002 Reprinted with corrections 2005 # International Union of Crystallography 2005 Short extracts, in particular data and diagrams for single space groups, may be reproduced without formality, provided that the source is acknowledged, but substantial portions may not be reproduced by any process without written permission from the International Union of Crystallography Printed in Denmark by P. J. Schmidt A/S
Contributing authors H. Arnold: Institut fu¨r Kristallographie, RheinischWestfa¨lische Technische Hochschule, D-52056 Aachen, Germany (present address: Am Beulardstein 22, D-52072 Aachen, Germany). [2, 5, 11] M. I. Aroyo: Faculty of Physics, University of Sofia, bulv. J. Boucher 5, 1164 Sofia, Bulgaria (present address: Departamento de Fisica de la Materia Condensada, Facultad de Ciencias,