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Difference between revisions of "Crystal pattern"

From Online Dictionary of Crystallography

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<Font color="blue">Motif cristallin </Font>(''Fr''). <Font color="black">Motivo cristallino</Font>(''It''). <Font color="purple"> 結晶模様 </Font>(''Ja'').
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Synonym: infinite ideal crystal
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<font color="blue">Motif cristallin</font> (''Fr''). <font color="red">Unendlicher Idealkristall</font> (''Ge''). <font color="black">Motivo cristallino</font>(''It''). <font color="purple">結晶模様</font> (''Ja''). <font color="green">Cristal ideal infinito</font> (''Sp'').
  
 
An object in the ''n''-dimensional [[point space]] ''E<sup>n</sup>'' is called an ''n''-dimensional '''crystallographic pattern''' or, for short, '''crystal pattern''' if among its symmetry operations:
 
An object in the ''n''-dimensional [[point space]] ''E<sup>n</sup>'' is called an ''n''-dimensional '''crystallographic pattern''' or, for short, '''crystal pattern''' if among its symmetry operations:

Revision as of 17:27, 9 November 2017

Synonym: infinite ideal crystal

Motif cristallin (Fr). Unendlicher Idealkristall (Ge). Motivo cristallino(It). 結晶模様 (Ja). Cristal ideal infinito (Sp).

An object in the n-dimensional point space En is called an n-dimensional crystallographic pattern or, for short, crystal pattern if among its symmetry operations:

  1. there are n translations, the translation vectors t1, ... , tn of which are linearly independent;
  2. all translation vectors, except the zero vector 0, have a length of at least d > 0.

When the crystal pattern consists of atoms, it takes the name of crystal structure. The crystal pattern is thus the generalization of a crystal structure to any pattern, concrete or abstract, in any dimension, which obeys the conditions of periodicity and discreteness expressed above.

See also