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Domain of influence

From Online Dictionary of Crystallography

Revision as of 13:20, 13 May 2017 by BrianMcMahon (talk | contribs) (Style edits to align with printed edition)

Domaine d'influence (Fr). Wirkungsbereich (Ge). Dominio di influenza (It).

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 any vector t belonging to the vector lattice L. It is the inside of the Wigner-Seitz cell.

See also

  • Chapters 1.3.2.3 and 3.1.2.3 of International Tables for Crystallography, Volume A, 6th edition