Domain of influence
From Online Dictionary of Crystallography
Revision as of 03:48, 26 November 2018 by MassimoNespolo (talk | contribs) (lang (Ja), synonyms after languages)
Revision as of 03:48, 26 November 2018 by MassimoNespolo (talk | contribs) (lang (Ja), synonyms after languages)
Domaine d'influence (Fr). Wirkungsbereich (Ge). Dominio di influenza (It). 影響ドメイン (Ja). Dominio de influencia, celda de Wigner-Seitz (Sp).
Synonyms: Voronoi domain, Wigner-Seitz cell
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