Tables for
Volume A
Space-group symmetry
Edited by Th. Hahn

International Tables for Crystallography (2006). Vol. A, ch. 2.1, p. 14

Section 2.1.1. Introduction

Th. Hahna* and A. Looijenga-Vosb

aInstitut für Kristallographie, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany, and bLaboratorium voor Chemische Fysica, Rijksuniversiteit Groningen, The Netherlands
Correspondence e-mail:

2.1.1. Introduction

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The present volume is a computer-based extension and complete revision of the symmetry tables of the two previous series of International Tables, the Internationale Tabellen zur Bestimmung von Kristallstrukturen (1935)[link] and the International Tables for X-ray Crystallography (1952)[link].1

The main part of the volume consists of tables and diagrams for the 17 types of plane groups (Part 6[link] ) and the 230 types of space groups (Part 7[link] ). The two types of line groups are treated separately in Section 2.2.17[link] , because of their simplicity. For the history of the Tables and a comparison of the various editions, reference is made to the Preface of this volume. Attention is drawn to Part 1[link] where the symbols and terms used in this volume are defined.

The present part forms a guide to the entries in the space-group tables with instructions for their practical use. Only a minimum of theory is provided, and the emphasis is on practical aspects. For the theoretical background the reader is referred to Parts 8–15[link] [link] [link] [link] [link] [link] [link] [link] , which include also suitable references. A textbook version of space-group symmetry and the use of these tables (with exercises) is provided by Hahn & Wondratschek (1994)[link].


Internationale Tabellen zur Bestimmung von Kristallstrukturen (1935). 1. Band, edited by C. Hermann. Berlin: Borntraeger. [Revised edition: Ann Arbor: Edwards (1944). Abbreviated as IT (1935).]
International Tables for X-ray Crystallography (1952). Vol. I, edited by N. F. M. Henry & K. Lonsdale. Birmingham: Kynoch Press. [Revised editions: 1965, 1969 and 1977. Abbreviated as IT (1952).]
Hahn, Th. & Wondratschek, H. (1994). Symmetry of crystals. Sofia: Heron Press.

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