Domain of influence
From Online Dictionary of Crystallography
Revision as of 16:29, 2 July 2017 by BrianMcMahon (talk | contribs) (added "See also" cross-refs as in printed dictionary)
Revision as of 16:29, 2 July 2017 by BrianMcMahon (talk | contribs) (added "See also" cross-refs as in printed dictionary)
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
- Brillouin zone
- Wigner-Seitz cell
- Chapters 1.3.2.3 and 3.1.2.3 of International Tables for Crystallography, Volume A, 6th edition