Domain of influence
From Online Dictionary of Crystallography
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Revision as of 12:47, 25 January 2006 by BrianMcMahon (talk | contribs)
Domain of influence
Other languages
Domaine d'influence (Fr). Wirkungsbereich (Ge).
Definition
The domain of influence of a lattice point P (Delaunay 1933), or Dirichlet domain or Voronoi domain, consists of all points Q in space that are closer to this lattice point than to any other lattice point or at most equidistant to it, namely such that OP ≤|t - OP| for a any vector t belonging to the vector lattice L. It is the inside of the Wigner-Seitz cell.
See also
Section 9.1 of International Tables of Crystallography, Volume A