Difference between revisions of "Domain of influence"
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= Domain of influence = | = Domain of influence = | ||
| + | <font color="blue">Domaine d'influence</font> (''Fr''). <font color="red">Wirkungsbereich</font> (''Ge''). <font color="black"> Dominio di influenza </font>(''It'') | ||
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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 a any vector '''t''' belonging to the vector lattice ''L''. It is the inside of the [[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 a any vector '''t''' belonging to the vector lattice ''L''. It is the inside of the [[Wigner-Seitz cell]]. | ||
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Section 9.1 of ''International Tables of Crystallography, Volume A'' | Section 9.1 of ''International Tables of Crystallography, Volume A'' | ||
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[[Category:Fundamental crystallography]]<br> | [[Category:Fundamental crystallography]]<br> | ||
Revision as of 12:08, 6 February 2012
Domain of influence
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 a any vector t belonging to the vector lattice L. It is the inside of the Wigner-Seitz cell.
See also
Section 9.1 of International Tables of Crystallography, Volume A