A unit cell of a crystal lattice that is constructed by starting from some lattice site and drawing lines to all the neighbouring lattice sites. The region enclosed by the perpendicular bisecting planes of these lines is the Wigner–Seitz cell of the crystal. The concept of the Wigner–Seitz cell was put forward in 1933 by Eugene Wigner and Frederick Seitz (1911–2008). The same construction in reciprocal space gives the first Brillouin zone, a concept that is very useful in the theory of energy bands. Polyhedra constructed in this way are known as Voronoi polyhedra in geometry.
Wigner–Seitz cell. The Wigner-Seitz cell (shaded) for a two-dimensional square lattice.
A polyhedron in a crystal that is bounded by planes formed by perpendicular bisectors of bonds between lattice sites. The Wigner–Seitz cell was used by Hungarian-born US physicist Eugene Wigner (1902–95) and Frederick Seitz (1911–2008) in 1933 in the course of their analysis of the cohesion of metals. The concept has been used extensively in the theory of solids.
- Dingaan (1843)
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- dinitrogen tetroxide
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