International
Tables for
Crystallography
Volume A
Space-group symmetry
Edited by M. I. Aroyo

International Tables for Crystallography (2016). Vol. A, ch. 3.3, p. 779

Table 3.3.2.1 

H. Burzlaffa and H. Zimmermannb*

aUniversität 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 3.3.2.1| top | pdf |
Symbols of glide planes in the Shubnikov and Hermann–Mauguin space-group symbols

Glide plane perpendicular toGlide vectorShubnikov symbolHermann–Mauguin symbol
b or c [{1 \over 2}{\bf a}] [\tilde{a}] a
a or c [{1 \over 2}{\bf b}] [\tilde{b}] b
a or b or ab [{1 \over 2}{\bf c}] [\tilde{c}] c
c [{1 \over 2}({\bf a} + {\bf b})] [\widetilde{\!ab}] n
a [{1 \over 2}({\bf b} + {\bf c})] [\widetilde{bc}] n
b [{1 \over 2}({\bf c} + {\bf a})] [\widetilde{ac}] n
ab [{1 \over 2}({\bf a} + {\bf b} + {\bf c})] [\widetilde{abc}] n
c [{1 \over 4}({\bf a} + {\bf b})] [{1 \over 2}\>\widetilde{\!ab}] d
a [{1 \over 4}({\bf b} + {\bf c})] [{1 \over 2}\widetilde{bc}] d
b [{1 \over 4}({\bf c} + {\bf a})] [{1 \over 2}\widetilde{ac}] d
ab [{1 \over 4}({\bf a} + {\bf b} + {\bf c})] [{1 \over 2}\widetilde{abc}] d
a + b [{1 \over 4}(- {\bf a} + {\bf b} + {\bf c})]   d