# Symmetry element

### From Online Dictionary of Crystallography

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- | <font color="blue">Élément de symétrie</font> (''Fr'') | + | <font color="blue">Élément de symétrie</font> (''Fr''); <font color="black">Elemento di simmetria</font> (''It''); <font color="purple">対称要素</font> (''Ja''); <font color="orange">عنصر التماثل</font> (''Ar''). |

A '''symmetry element''' (of a given [[crystal pattern|crystal structure]] or object) is defined as a concept with a double meaning, namely the combination of a [[geometric element]] with the set of [[symmetry operation]]s having this geometric element in common (termed its ''element set''). Together with the identity and the translations, for which a geometric element is not defined, the element sets cover all symmetry operations. | A '''symmetry element''' (of a given [[crystal pattern|crystal structure]] or object) is defined as a concept with a double meaning, namely the combination of a [[geometric element]] with the set of [[symmetry operation]]s having this geometric element in common (termed its ''element set''). Together with the identity and the translations, for which a geometric element is not defined, the element sets cover all symmetry operations. |

## Revision as of 09:18, 14 September 2017

Élément de symétrie (*Fr*); Elemento di simmetria (*It*); 対称要素 (*Ja*); عنصر التماثل (*Ar*).

A **symmetry element** (of a given crystal structure or object) is defined as a concept with a double meaning, namely the combination of a geometric element with the set of symmetry operations having this geometric element in common (termed its *element set*). Together with the identity and the translations, for which a geometric element is not defined, the element sets cover all symmetry operations.

## See also

## Reference

Wolff, P. M. de, Billiet, Y., Donnay, J. D. H., Fischer, W., Galiulin, R. B., Glazer, A. M., Senechal, M., Shoemaker, D. P., Wondratschek, H., Hahn, Th., Wilson, A. J. C. and Abrahams, S. C. (1989). *Acta Cryst.* A**45**, 494−499. *Definition of symmetry elements in space groups and point groups. Report of the International Union of Crystallography Ad-hoc Committee on the Nomenclature of Symmetry*