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CONSTRUCTION OF WIGNER-SEITZ CELLS

To create a Wigner-Seitz cell simply complete the following steps.

  1. Choose any lattice site as the origin.
  2. Starting at the origin draw vectors to all neighbouring lattice points.
  3. Construct a plane perpendicular to and passing through the midpoint of each vector.
  4. The area enclosed by these planes is the Wigner-Seitz cell.
Simple

Construction of the Wigner-Seitz cell for the simple cubic lattice and the body centred lattice are illustrated in ‘Simple Cubic W-S Cells’ and ‘Body Centred Cubic W-S Cell’ respectively.

The Wigner-Seitz cells have the following characteristics:


Prepared by Laura Malcolm -- last update : March 27, 1997