# Difference between revisions of "Point symmetry"

### From Online Dictionary of Crystallography

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BrianMcMahon (talk | contribs) m (Style edits to align with printed edition) |
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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 class|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 == | ||

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

[[Category:Fundamental crystallography]] | [[Category:Fundamental crystallography]] |

## Revision as of 13:11, 16 May 2017

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