Difference between revisions of "Domain of influence"
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| − | <font color="blue">Domaine d'influence</font> (''Fr''). <font color="red">Wirkungsbereich</font> (''Ge''). <font color="black"> Dominio di influenza </font>(''It'') | + | <font color="blue">Domaine d'influence</font> (''Fr''). <font color="red">Wirkungsbereich</font> (''Ge''). <font color="black"> Dominio di influenza </font>(''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 | + | 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 === | === See also === | ||
| − | + | *Chapters 1.3.2.3 and 3.1.2.3 of ''International Tables for Crystallography, Volume A'', 6th edition | |
[[Category:Fundamental crystallography]]<br> | [[Category:Fundamental crystallography]]<br> | ||
Revision as of 13:20, 13 May 2017
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