Symmetry Elements in Space Groups and Point Groups. Addenda to two IUCr Reports on the Nomenclature of Symmetry
The definition of `symmetry element' given in the Report of the IUCr Ad‐Hoc Committee on the Nomenclature of Symmetry by de Wolff et al. [Acta Cryst. (1989). A45, 494–499] is shown to contain an ambiguity in the case of space groups P6/m, P6/mmm, P6/mcc and point groups 6/m and 6/mmm. The ambig...
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Veröffentlicht in: | Acta crystallographica. Section A, Foundations of crystallography Foundations of crystallography, 2000-01, Vol.56 (1), p.96-98 |
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description | The definition of `symmetry element' given in the Report of the IUCr Ad‐Hoc Committee on the Nomenclature of Symmetry by de Wolff et al. [Acta Cryst. (1989). A45, 494–499] is shown to contain an ambiguity in the case of space groups P6/m, P6/mmm, P6/mcc and point groups 6/m and 6/mmm. The ambiguity is removed by redefining the `geometric element' as a labelled geometric item in which the label is related to the rotation angle of the rotation or rotoinversion symmetry operation. The complete set of different types of glide plane is shown to contain three more than the 15 that are illustrated in the 1992 Report by de Wolff et al. [Acta Cryst. (1992). A48, 727–732]. |
doi_str_mv | 10.1107/S0108767399012283 |
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D.</creatorcontrib><creatorcontrib>Wondratschek, H.</creatorcontrib><creatorcontrib>Hahn, Th</creatorcontrib><creatorcontrib>Abrahams, S. C.</creatorcontrib><title>Symmetry Elements in Space Groups and Point Groups. Addenda to two IUCr Reports on the Nomenclature of Symmetry</title><title>Acta crystallographica. Section A, Foundations of crystallography</title><addtitle>Acta Cryst. A</addtitle><description>The definition of `symmetry element' given in the Report of the IUCr Ad‐Hoc Committee on the Nomenclature of Symmetry by de Wolff et al. [Acta Cryst. (1989). A45, 494–499] is shown to contain an ambiguity in the case of space groups P6/m, P6/mmm, P6/mcc and point groups 6/m and 6/mmm. The ambiguity is removed by redefining the `geometric element' as a labelled geometric item in which the label is related to the rotation angle of the rotation or rotoinversion symmetry operation. 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subjects | Condensed matter: structure, mechanical and thermal properties Crystalline state (including molecular motions in solids) Exact sciences and technology Physics Structure of solids and liquids crystallography symmetry Theory of crystal structure, crystal symmetry calculations and modeling |
title | Symmetry Elements in Space Groups and Point Groups. Addenda to two IUCr Reports on the Nomenclature of Symmetry |
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