Chapter 2.2 Contents and arrangement of the tables

Space-group symmetry

First Online Edition (2006)

Part 2. Guide to the use of the space-group tables

  1. Th. Hahn1,
  2. A. Looijenga-Vos2

Published Online: 1 JAN 2006

DOI: 10.1107/97809553602060000505

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Hahn, T. and Looijenga-Vos, A. 2006. Contents and arrangement of the tables. International Tables for Crystallography. A:2:2.2:17–41.

Author Information

  1. 1

    Institut für Kristallographie, Rheinisch-Westfälische Technische Hochschule, Aachen, Germany

  2. 2

    Laboratorium voor Chemische Fysica, Rijksuniversiteit Groningen, The Netherlands

Publication History

  1. Published Online: 1 JAN 2006


This chapter and Chapter 2.1form the main guide to understanding and using the plane-group and space-group tables in Parts 6 and 7. Chapter 2.2 explains in a systematic fashion, with many examples and figures, all entries and diagrams in the order in which they occur in the plane-group and space-group tables. Particularly detailed treatments are given to Hermann–Mauguin space-group symbols, space-group diagrams, general and special positions, reflections conditions, subgroups and supergroups, monoclinic space groups, and the two crystallographic space groups in one dimension (line groups).


  • space groups;
  • plane groups;
  • origin;
  • international space-group symbols;
  • Hermann–Mauguin symbols;
  • Schoenflies symbols;
  • Patterson symmetry;
  • space-group diagrams;
  • asymmetric unit;
  • symmetry operations;
  • generators;
  • Wyckoff positions;
  • site symmetry;
  • reflection conditions;
  • maximal subgroups;
  • minimal supergroups;
  • monoclinic space groups;
  • one-dimensional groups