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