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Space group

From Online Dictionary of Crystallography

Revision as of 09:14, 12 April 2007 by MassimoNespolo (talk | contribs) (See also)

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

The symetry 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 intinite set of translations T, which are symmetry operations of that pattern. The set of all T forms a group known as the translation subgrup T of the space group G of the crystal pattern. T is an Abelian group.

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