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