Chapter 2.1 Classification and coordinate systems of space groups

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: 10.1107/97809553602060000504

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Hahn, T. and Looijenga-Vos, A. 2006. Classification and coordinate systems of space groups. International Tables for Crystallography. A:2:2.1:14–16.

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 2.2 form the main guide to understanding and using the plane-group and space-group tables in Parts 6 and 7. Chapter 2.1 displays, with the help of an extensive synoptic table, the classification of the 17 plane groups and 230 space groups into geometric crystal classes, Bravais lattices, crystal systems and crystal families. This is followed by a characterization of the conventional crystallographic coordinate systems.


  • space groups;
  • crystal classes;
  • crystal families;
  • crystal systems;
  • coordinate systems;
  • Bravais lattices