Chapter

Chapter 11.1 Point coordinates, symmetry operations and their symbols

Space-group symmetry

First Online Edition (2006)

Part 11. Symmetry operations

  1. W. Fischer,
  2. E. Koch

Published Online: 1 JAN 2006

DOI: 10.1107/97809553602060000522

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Fischer, W. and Koch, E. 2006. Point coordinates, symmetry operations and their symbols. International Tables for Crystallography. A:11:11.1:810–811.

Author Information

  1. Institut für Mineralogie, Petrologie und Kristallographie, Philipps-Universität, D-35032 Marburg, Germany

Publication History

  1. Published Online: 1 JAN 2006

Abstract

Chapter 11.1 deals with the different ways of representing symmetry operations, e.g. as linear equations, as pairs of a 3 × 3 and a 3 × 1 matrix, and as coordinate triplets (cf. ‘General positions’ in Part 7). The notation used under the heading ‘Symmetry operations’ in Parts 6 and 7 is explained. This kind of symbol contains information on the type of the symmetry operation, on the location of the corresponding symmetry element and, if necessary, on the glide or screw vector.

Keywords:

  • point coordinates;
  • coordinate triplets;
  • symmetry operations;
  • symbols