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Difference between revisions of "Space group"

From Online Dictionary of Crystallography

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(See also: fixed-point-free space groups)
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==See also==
 
==See also==
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*[[fixed-point-free space groups]]
 
*[[Symmorphic space groups]]
 
*[[Symmorphic space groups]]
 
*Chapter 8 of the ''International Tables for Crystallography, Volume A''
 
*Chapter 8 of the ''International Tables for Crystallography, Volume A''
  
 
[[Category:Fundamental crystallography]]
 
[[Category:Fundamental crystallography]]

Revision as of 16:43, 7 February 2009

Groupe d'espace (Fr); Raumgruppe (Ge); Gruppo spaziale (It); 空間群 (Ja).

The symmetry group of a three-dimensional crystal pattern is called its space group. In E2, the symmetry group of a two-dimensional crystal pattern is called its plane group. In E1, the symmetry group of a one-dimensional crystal pattern is called its line group.

To each crystal pattern belongs an infinite set of translations T, which are symmetry operations of that pattern. The set of all T forms a group known as the translation subgroup T of the space group G of the crystal pattern. T is an Abelian group.

See also