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== Definition ==
== Definition ==


The point symmetry of a position is its [[site symmetry]]. The point symmetry, or point group of a lattice is the group of linear mappings (symmetry operations, isometries) that map the vector lattice '''L''' onto itself. Those [[geometric crystal classes]] to which point symmetries of lattices belong are called [[holohedry|holohedries]].
The point symmetry of a position is its [[site symmetry]]. The point symmetry, or point group of a lattice is the group of linear mappings (symmetry operations, isometries) that map the vector lattice '''L''' onto itself. Those [[geometric crystal class|geometric crystal classes]] to which point symmetries of lattices belong are called [[holohedry|holohedries]].


== See also ==
== See also ==

Revision as of 17:16, 7 February 2012

Symétrie ponctuelle (Fr). Punktsymmetrie (Ge). Simetria punctual (Sp). Simmetria del sito, simmetria puntuale (It).

Definition

The point symmetry of a position is its site symmetry. The point symmetry, or point group of a lattice is the group of linear mappings (symmetry operations, isometries) that map the vector lattice L onto itself. Those geometric crystal classes to which point symmetries of lattices belong are called holohedries.

See also

Chapter 8.2 of International Tables of Crystallography, Volume A

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