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Difference between revisions of "Domain of influence"

From Online Dictionary of Crystallography

 
(Other languages)
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=== Other languages ===
 
=== Other languages ===
  
Domaine d'influence (''Fr''). Wirkungsbereich (''Ge'').
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Domaine d'influence (''Fr''). Wirkungsbereich (''Ge'').<Font color="black"> Dominio di influenza </Font>(''It'')
 
 
  
 
== Definition ==
 
== Definition ==

Revision as of 15:29, 17 March 2006

Domain of influence

Other languages

Domaine d'influence (Fr). Wirkungsbereich (Ge). Dominio di influenza (It)

Definition

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