Wigner-Seitz cell


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Wigner-Seitz cell

[′wig·nər ′zīts ‚sel]
(crystallography)
A polyhedron about an atom in a face-centered cubic structure, made by drawing planes which perpendicularly bisect the lines to the nearest neighbors; in a body-centered cubic structure, bisecting planes of lines to nearest neighbors and next-nearest neighbors are used; such polyhedra fill space.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Here [LAMBDA] := {i [member of] [bar.[LAMBDA]]|[a.sub.i] [member of] [OMEGA]), [a.sub.i] is an inner node of the associated Delaunay triangulation of [OMEGA], and [[OMEGA].sub.i] is the Voronoi polygon (Wigner-Seitz cell) of [a.sub.i] (see Figs 4, 5).
Therefore, first, when in the Wigner-Seitz cells the non-zero charge occurs (e.g.