Wigner-Seitz cell

The Wigner-Seitz cell is a means to achieve this.

It is the Wigner-Seitz cell for certain body-centered tetragonal lattices.

It is found by the same method as for the Wigner-Seitz cell in the Bravais lattice.

A Wigner-Seitz cell is an example of another kind of Primitive cell.

The Wigner-Seitz cell in the reciprocal lattice is known as the first Brillouin zone.

Frederick Seitz, 96, American physicist who co-discovered the Wigner-Seitz cell.

Though the Wigner-Seitz cell in itself is not of paramount importance in the direct space, it is extremely important in the reciprocal space.

It can be shown mathematically that a Wigner-Seitz cell is a primitive cell spanning the entire Bravais lattice without leaving any gaps or holes.

The Wigner-Seitz cell in the reciprocal space is called the Brillouin zone, which contains the information about whether a material will be a conductor, semiconductor or an insulator.

Taking surfaces at the same distance from one element of the lattice and its neighbours, the volume included is the first Brillouin zone (see the derivation of the Wigner-Seitz cell).

The Wigner-Seitz cell, named after Eugene Wigner and Frederick Seitz, is a type of Voronoi cell used in the study of crystalline material in solid-state physics.

The Wigner-Seitz cell around a lattice point is defined as the locus of points in space that are closer to that lattice point than to any of the other lattice points.

The general mathematical concept embodied in a Wigner-Seitz cell is more commonly called a Voronoi cell, and the partition of the plane into these cells for a given set of point sites is known as a Voronoi diagram.

The Voronoi cell of atom A is defined as the compartment of space bounded by the bond midplanes on and perpendicular to all bond axes between nucleus A and its neighboring nuclei (cf. the Wigner-Seitz cells in crystals).