Bilbao Crystallographic Server Point Groups Retrieval Tools Help Wyckoff positions of the three-dimensional crystallographic point groups

Wyckoff Positions of 3D Crystallographic Point Groups


This program permits the access to the information about the wyckof positions of the three-dimensional crystallographic point groups. One has to select one point group among the 32 three-dimensional crystallograhic point groups in the following 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-62m D6h6/mmm T23 Thm-3 O432 Td-43m Ohm-3m


The point groups are are described by their Schoenflies (grey column) and Hermann-Mauguin (white column) symbols. Once the point group is chosen the information about the Wyckoff position is shown:

Wyckoff Positions of 3D Crystallographic Point Group C2(2) [Unique axis b]

Multiplicity Letter Site Symmetry Coordinates
2 b 1 (x,y,z)(-x,y,-z)
1 a 2 (0,y,0)

[Wyckoff positions for Unique axis c]


In this case, at the bottom of the table there is a link which shows the Wyckoff positions in unique axis c.

Wyckoff Positions of 3D Crystallographic Point Group C2(2) [Unique axis c]

Multiplicity Letter Site Symmetry Coordinates
2 b 1 (x,y,z)(-x,-y,z)
1 a 2 (0,0,z)

[Wyckoff positions for Unique axis b]


For monoclinic point groups the program provides the information about the Wyckoff positions in unique axis b and unique axis c settings. In the case of trigonal point groups the information about the Wyckoff position is given in hexagonal and rhombohedral settings.

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