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Difference between revisions of "Space group"

From Online Dictionary of Crystallography

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*[[Fixed-point-free space groups]]
 
*[[Fixed-point-free space groups]]
 
*[[Symmorphic space groups]]
 
*[[Symmorphic space groups]]
*Chapter 8 of the ''International Tables for Crystallography, Volume A''
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*Section 1.3 of ''International Tables for Crystallography, Volume A'', 6<sup>th</sup> edition
  
 
[[Category:Fundamental crystallography]]
 
[[Category:Fundamental crystallography]]

Revision as of 16:50, 11 April 2017

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 and a normal subgroup of the space group.

See also