Space group: Difference between revisions
From Online Dictionary of Crystallography
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==See also== | ==See also== | ||
*[[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
- fixed-point-free space groups
- Symmorphic space groups
- Chapter 8 of the International Tables for Crystallography, Volume A