Table 12.1.3.1

Burzlaff, H.; Zimmermann, H.

doi:10.1107/97809553602060000524

International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by Th. Hahn

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International Tables for Crystallography (2006). Vol. A. ch. 12.1, p. 818

Table 12.1.3.1

H. Burzlaff^a and H. Zimmermann^b ^*

^a Universität Erlangen–Nürnberg, Robert-Koch-Strasse 4a, D-91080 Uttenreuth, Germany, and ^bInstitut für Angewandte Physik, Lehrstuhl für Kristallographie und Strukturphysik, Universität Erlangen–Nürnberg, Bismarckstrasse 10, D-91054 Erlangen, Germany
Correspondence e-mail: helmuth.zimmermann@krist.uni-erlangen.de

Table 12.1.3.1 | top | pdf |
International (Hermann–Mauguin) and Shubnikov symbols for symmetry elements

The first power of a symmetry operation is often designated by the symmetry-element symbol without exponent 1, the other powers of the operation carry the appropriate exponent.

	Symmetry elements
	of the first kind	of the second kind
Hermann–Mauguin	1 2 3 4 6	$[\bar{1}\quad m\quad \bar{3}\quad \bar{4}\quad \bar{6}]$
Shubnikov^†	1 2 3 4 6	$[\tilde{2}\quad m\quad \tilde{6}\quad \tilde{4}\quad \tilde{3}]$

^†According to a private communication from J. D. H. Donnay, the symbols for elements of the second kind were proposed by M. J. Buerger. Koptsik (1966)

used them for the Shubnikov method.