Sohncke groups

Groupes de Sohncke (Fr). Sohncke-Raumgruppe (Ge). Gruppi di Sohncke (It). ゾーンケ群 (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