Domain of influence
From Online Dictionary of Crystallography
Revision as of 13:52, 10 November 2017 by BrianMcMahon (talk | contribs) (Tidied translations and added German and Spanish (U. Mueller))
Revision as of 13:52, 10 November 2017 by BrianMcMahon (talk | contribs) (Tidied translations and added German and Spanish (U. Mueller))
Synonyms: Voronoi domain, Wigner-Seitz cell
Domaine d'influence (Fr). Wirkungsbereich (Ge). Dominio di influenza (It). Dominio de influencia, celda de Wigner-Seitz (Sp).
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
- Brillouin zone
- Wigner-Seitz cell
- Chapters 1.3.2.3 and 3.1.2.3 of International Tables for Crystallography, Volume A, 6th edition