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Point Group Tables


Point Group Tables
The Point Group tables contain:
  • Character Table.
  • Point Subgroups.
  • Multiplication Table of Irreps.
  • Irreps Decompositions of important (ir)rreps.
  • Infrared and Raman Selection Rules.
  • The Rotation Group D(L).

A tutorial on the application of several tools of this server including POINT in the study of group-subgroup phase transitions can be found here.


If you are using this program in the preparation of a paper, please cite it in the following form:

M. I. Aroyo, A. Kirov, C. Capillas, J. M. Perez-Mato & H. Wondratschek."Bilbao Crystallographic Server II: Representations of crystallographic point groups and space groups". Acta Cryst. A62, 115-128 (2006).

Choose a point group from the next table

C11 Ci-1 C22 Csm C2h2/m D2222 C2vmm2 D2hmmm
C44 S4-4 C4h4/m D4422 C4v4mm D2d-42m D4h4/mmm C33
C3i-3 D332 C3v3m D3d-3m C66 C3h-6 C6h6/m D6622
C6v6mm D3h-6m2 D6h6/mmm T23 Thm-3 O432 Td-43m Ohm-3m


To get the symmetry operations of the 32 crystallographic point groups in Seitz notation click here.
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