International
Tables for
Crystallography
Volume E
Subperiodic groups
Edited by V. Kopský and D. B. Litvin

International Tables for Crystallography (2006). Vol. E. ch. 1.2, p. 13   | 1 | 2 |

Table 1.2.6.3 

V. Kopskýa and D. B. Litvinb*

a Department of Physics, University of the South Pacific, Suva, Fiji, and Institute of Physics, The Academy of Sciences of the Czech Republic, Na Slovance 2, PO Box 24, 180 40 Prague 8, Czech Republic, and bDepartment of Physics, Penn State Berks Campus, The Pennsylvania State University, PO Box 7009, Reading, PA 19610-6009, USA
Correspondence e-mail:  u3c@psu.edu

Table 1.2.6.3 | top | pdf |
Distinct Hermann–Mauguin symbols for tetragonal, trigonal and hexagonal rod groups in different settings

Rod group Setting symbol
[(abc)] [(a\pm b\ \ b\mp a\ \ c)]
Hermann–Mauguin symbol
R35 [\scr p]42cm [\scr p]42mc
R37 [\scr p] [\bar{4}]2m [\scr p] [\bar{4}] m 2
R38 [\scr p] [\bar{4}]2c [\scr p] [\bar{4}] c 2
R41 [\scr p]42/mmc [\scr p]42/mcm

Rod group Setting symbol
[(abc)] [\matrix{(\pm 2a\pm b\ \ \ \mp\! a\pm b\ \ \ c)\hfill\cr (\pm a\pm 2b\ \ \ \mp\! 2a\mp b \ \ \ c)\hfill\cr (\mp a\pm b\ \ \ \mp\! a\mp 2b\ \ \ c)\hfill\cr}]
Hermann–Mauguin symbol
R46 [\scr p]312 [\scr p]321
R47 [\scr p]3112 [\scr p]3121
R48 [\scr p]3212 [\scr p]3221
R49 [\scr p]3m1 [\scr p]31m
R50 [\scr p]3c1 [\scr p]31c
R51 [\scr p] [\bar{3}]1m [\scr p] [\bar{3}] m 1
R52 [\scr p] [\bar{3}]1c [\scr p] [\bar{3}] c 1
R70 [\scr p]63mc [\scr p]63cm
R71 [\scr p] [\bar{6}] m 2 [\scr p] [\bar{6}]2m
R72 [\scr p] [\bar{6}] c 2 [\scr p] [\bar{6}]2c
R75 [\scr p]63/mmc [\scr p]63/mcm