# Difference between revisions of "Point symmetry"

### From Online Dictionary of Crystallography

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− | < | + | <font color="blue">Symétrie ponctuelle</font> (''Fr''). <font color="red">Punktsymmetrie</font> (''Ge''). <font color="black">Simmetria del sito, simmetria puntuale</font> (''It''). <font color="green">Simetría puntual</font> (''Sp''). |

== 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 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 == | ||

+ | *Chapter 3.2 of ''International Tables for Crystallography, Volume A'', 6th edition | ||

+ | |||

+ | [[Category:Fundamental crystallography]] |

## Latest revision as of 09:59, 17 November 2017

Symétrie ponctuelle (*Fr*). Punktsymmetrie (*Ge*). Simmetria del sito, simmetria puntuale (*It*). Simetría puntual (*Sp*).

## 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 3.2 of
*International Tables for Crystallography, Volume A*, 6th edition