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Difference between revisions of "Crystal pattern"

From Online Dictionary of Crystallography

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== See also ==
 
== See also ==
 
*[[Point space]]
 
*[[Point space]]
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*[[Noncrystallographic symmetry]]
 
*''International Tables of Crystallography, Volumes A and A1''
 
*''International Tables of Crystallography, Volumes A and A1''
  
 
[[Category:Fundamental crystallography]]
 
[[Category:Fundamental crystallography]]

Revision as of 16:04, 28 December 2008

Motif cristallin (Fr). Motivo cristallino(It). 結晶模様 (Ja)

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 of abstract, in any dimension, which obeys the conditions of periodicity and discreteness expressed above.

See also