Difference between revisions of "Sohncke groups"
From Online Dictionary of Crystallography
(classification scheme) |
m (According to two native German speakers, the correct prononciation is ソンケ, not ゾーンケ) |
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| − | <font color="blue">Groupes de Sohncke</font> (''Fr''). <font color="red">Sohncke-Raumgruppe</font> (''Ge''). <font color=" | + | <font color="blue">Groupes de Sohncke</font> (''Fr''). <font color="red">Sohncke-Raumgruppe</font> (''Ge''). <font color="black">Gruppi di Sohncke</font> (''It''). <font color="purple">ソンケ群</font> (''Ja''). <font color="green">Grupos de Sohncke</font> (''Sp''). |
| − | [[Image:Sohncke-vs-chiral-scheme.png|500px|Classification scheme of space groups in terms of chirality.|right]] | + | |
| − | '''Sohncke groups''' are the | + | [[Image:Sohncke-vs-chiral-scheme.png|500px|Classification scheme of space groups in three-dimensional space in terms of chirality.|right]] |
| + | '''Sohncke groups''' are the three-dimensional [[space group]]s containing only operations of the first kind (rotations, rototranslations, translations). Among the 230 types of space groups, 65 are Sohncke types. [[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, whose derivation was based on the results previously published by Marie Ennemond Camille Jordan (Lyon, 5 January 1838 – Paris, 22 January 1922), French 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. | ||
== References == | == References == | ||
| − | * Jordan, C. (1869). ''Annali di Matematica Pura ed Applicata (1867-1897)'', '''2''', 167-215. | + | * Jordan, C. (1869). Mémoire sur les groupes de mouvements. ''Annali di Matematica Pura ed Applicata (1867-1897)'', '''2''' (2), 167-215 and 322-345 ([http://iris.univ-lille1.fr/handle/1908/1921 link to the issue of the journal containing the two papers by Jordan]). |
* Sohncke, L. (1879). ''Entwickelung einer Theorie der Krystallstruktur''. B. G. Teubner, Leipzig | * Sohncke, L. (1879). ''Entwickelung einer Theorie der Krystallstruktur''. B. G. Teubner, Leipzig | ||
Latest revision as of 11:42, 3 April 2019
Groupes de Sohncke (Fr). Sohncke-Raumgruppe (Ge). Gruppi di Sohncke (It). ソンケ群 (Ja). Grupos de Sohncke (Sp).
Sohncke groups are the three-dimensional space groups containing only operations of the first kind (rotations, rototranslations, translations). Among the 230 types of space groups, 65 are Sohncke types. 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
- Jordan, C. (1869). Mémoire sur les groupes de mouvements. Annali di Matematica Pura ed Applicata (1867-1897), 2 (2), 167-215 and 322-345 (link to the issue of the journal containing the two papers by Jordan).
- Sohncke, L. (1879). Entwickelung einer Theorie der Krystallstruktur. B. G. Teubner, Leipzig