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Difference between revisions of "Symmetry element"

From Online Dictionary of Crystallography

(New translations from Ulrich Mueller (Ge, Sp))
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<font color="orange">عنصر التماثل</font> (''Ar''); <font color="blue">Élément de symétrie</font> (''Fr''); <font color="red">Symmetrieelement</font> (''Ge''); <font color="black">Elemento di simmetria</font> (''It''); <font color="purple">対称要素</font> (''Ja''); <font color="green">Elemento de simetría</font> (''Sp'').  
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<font color="orange">عنصر التماثل</font> (''Ar''). <font color="blue">Élément de symétrie</font> (''Fr''). <font color="red">Symmetrieelement</font> (''Ge''). <font color="black">Elemento di simmetria</font> (''It''). <font color="purple">対称要素</font> (''Ja''). <font color="green">Elemento de simetría</font> (''Sp'').  
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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 09:17, 20 November 2017

عنصر التماثل (Ar). Élément de symétrie (Fr). Symmetrieelement (Ge). Elemento di simmetria (It). 対称要素 (Ja). Elemento de simetría (Sp).


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. A45, 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