Chapter

Chapter 13.2 Derivative lattices

Space-group symmetry

First Online Edition (2006)

Part 13. Isomorphic subgroups of space groups

  1. Y. Billiet1,
  2. E. F. Bertaut2

Published Online: 1 JAN 2006

DOI: 10.1107/97809553602060000529

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Billiet, Y. and Bertaut, E. F. 2006. Derivative lattices. International Tables for Crystallography. A:13:13.2:843–844.

Author Information

  1. 1

    Département de Chimie, Faculté des Sciences et Techniques, Université de Bretagne Occidentale, Brest, France

  2. 2

    Laboratoire de Cristallographie, CNRS, Grenoble, France

Publication History

  1. Published Online: 1 JAN 2006

Abstract

The lattices that correspond to the isomorphic subgroups of space group P1 and plane group p1 are termed derivative lattices. Formulae for the construction of three- and two-dimensional derivative lattices are given, and the three- and two-dimensional lattices of indices 2 to 7 are tabulated.

Keywords:

  • derivative lattices;
  • isomorphic subgroups;
  • translation groups;
  • space groups;
  • plane groups