Chapter 5.2 Transformations of symmetry operations (motions)

Space-group symmetry

First Online Edition (2006)

Part 5. Transformations in crystallography

  1. H. Arnold

Published Online: 1 JAN 2006

DOI: 10.1107/97809553602060000511

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Arnold, H. 2006. Transformations of symmetry operations (motions). International Tables for Crystallography. A:5:5.2:86–89.

Author Information

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

Publication History

  1. Published Online: 1 JAN 2006


In this chapter, matrix notation is used to describe transformations of symmetry operations. Some important invariants, especially the metric tensor, are discussed and, as an example, the structures of low and high cristobalite are compared.


  • transformations;
  • symmetry operations;
  • motions;
  • invariants;
  • metric tensor