Chapter 11.2 Derivation of symbols and coordinate triplets
First Online Edition (2006)
Part 11. Symmetry operations
Published Online: 1 JAN 2006
© International Union of Crystallography 2006
International Tables for Crystallography
How to Cite
Fischer, W. and Koch, E. 2006. Derivation of symbols and coordinate triplets. International Tables for Crystallography. A:11:11.2:812–816.
- Published Online: 1 JAN 2006
Chapter 11.2 describes a method for deriving the symbol of a symmetry operation (i.e. its type, the location of its symmetry element, and possibly its glide or screw vector) from its coordinate triplet as given in the ‘general position’ of a space group. The reverse procedure is also explained. A table shows the coordinate triplets and the 3 × 3 matrices for all symmetry operations of crystallographic point groups and for all orientations of the corresponding symmetry elements.
- coordinate triplets;
- symmetry operations;
- symmetry elements;
- matrices for point-group symmetry operations