Difference between revisions of "Sohncke groups"
From Online Dictionary of Crystallography
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'''Sohncke groups''' are called the 65 three-dimensional space groups containing only operations of the first kind (rotations, rototranslations, translations). [[Chirality|Chiral]] [[crystal structure]]s, including proteins, occur in these groups, not only in the [[chiral space group]]s. | '''Sohncke groups''' are called the 65 three-dimensional space groups containing only operations of the first kind (rotations, rototranslations, translations). [[Chirality|Chiral]] [[crystal structure]]s, including proteins, occur in these groups, not only in the [[chiral space group]]s. | ||
| − | The term comes from Leonhard Sohncke (Halle, 22 February 1842 – München, 1 November 1897), German mathematician. | + | The term comes from Leonhard Sohncke (Halle, 22 February 1842 – München, 1 November 1897), German mathematician, whose derivation was based on the results previously published by Marie Ennemond Camille Jordan (Lyon, 5 January 1838 – Paris, 22 January 1922), French mathematician. |
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| + | == References == | ||
| + | * C. Jordan (1869). ''Mémoire sur les groupes de mouvements''. Annali di Matematica Pura ed Applicata (1867-1897), August 1868, Volume 2, Issue 1, pp 167-215 | ||
| + | * L. Sohncke (1879). ''Entwickelung einer Theorie der Krystallstruktur''. B.G. Teubner, Leipzig | ||
[[Category:Fundamental crystallography]] | [[Category:Fundamental crystallography]] | ||
[[Category:Crystal chemistry]] | [[Category:Crystal chemistry]] | ||
[[Category:Biological crystallography]] | [[Category:Biological crystallography]] | ||
Revision as of 09:46, 5 April 2016
Groupes de Sohncke (Fr); Gruppi di Sohncke (It); ソンケ群 (Ja).
Sohncke groups are called the 65 three-dimensional space groups containing only operations of the first kind (rotations, rototranslations, translations). Chiral crystal structures, including proteins, occur in these groups, not only in the chiral space groups.
The term comes from Leonhard Sohncke (Halle, 22 February 1842 – München, 1 November 1897), German mathematician, whose derivation was based on the results previously published by Marie Ennemond Camille Jordan (Lyon, 5 January 1838 – Paris, 22 January 1922), French mathematician.
References
- C. Jordan (1869). Mémoire sur les groupes de mouvements. Annali di Matematica Pura ed Applicata (1867-1897), August 1868, Volume 2, Issue 1, pp 167-215
- L. Sohncke (1879). Entwickelung einer Theorie der Krystallstruktur. B.G. Teubner, Leipzig