Chapter 10.2 Point-group symmetry and physical properties of crystals

Space-group symmetry

First Online Edition (2006)

Part 10. Point groups and crystal classes

  1. H. Klapper,
  2. Th. Hahn

Published Online: 1 JAN 2006

DOI: 10.1107/97809553602060000521

International Tables for Crystallography

International Tables for Crystallography

How to Cite

Klapper, H. and Hahn, T. 2006. Point-group symmetry and physical properties of crystals. International Tables for Crystallography. A:10:10.2:804–808.

Author Information

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

Publication History

  1. Published Online: 1 JAN 2006


Chapter 10.2 discusses the relations between symmetry and the physical properties of crystals. The following properties and their dependence on the crystallographic point-group symmetries are described and presented in several tables: crystal morphology, symmetry of etch figures, optical birefringence, optical activity, enantiomorphism, pyroelectricity (ferroelectricity) and piezoelectricity.


  • point groups;
  • symmetry;
  • enantiomerism;
  • enantiomorphism;
  • chirality;
  • dissymmetry;
  • polar axes;
  • polar directions;
  • polar point groups;
  • morphology;
  • etch figures;
  • etch pits;
  • refraction;
  • optical activity;
  • second-harmonic generation;
  • pyroelectricity;
  • piezoelectricity;
  • ferroelectricity