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

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

Table 1.2.6.2 

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 1.2.6.2 | top | pdf |
Distinct Hermann–Mauguin symbols for monoclinic and orthorhombic rod groups in different settings

Rod group Setting symbol
(abc) ([b\bar{a}c]) ([\bar{c}ba]) (bca) ([a\bar{c}b]) ([\bar{c}\bar{a}b])
Hermann–Mauguin symbol
R3 [\scr p] c 211 [\scr p] c 121 [\scr p] a 112 [\scr p] b 112 [\scr p] b 211 [\scr p] a 121
R4 [\scr p] c m 11 [\scr p] c 1m1 [\scr p] a 11m [\scr p] b 11m [\scr p] b m 11 [\scr p] a 1m1
R5 [\scr p] c c 11 [\scr p] c 1c1 [\scr p] a 11a [\scr p] b 11b [\scr p] b b 11 [\scr p] a 1a1
R6 [\scr p] c 2/m11 [\scr p] c 12/m1 [\scr p] a 112/m [\scr p] b 112/m [\scr p] b 2/m11 [\scr p] a 12/m1
R7 [\scr p] c 2/c11 [\scr p] c 12/c1 [\scr p] a 112/a [\scr p] b 112/b [\scr p] b 2/b11 [\scr p] a 12/a1
R8 [\scr p] c 112 [\scr p] c 112 [\scr p] a 211 [\scr p] b 121 [\scr p] b 121 [\scr p] a 211
R9 [\scr p] c 1121 [\scr p] c 1121 [\scr p] a 2111 [\scr p] b 1211 [\scr p] b 1211 [\scr p] a 2111
R10 [\scr p] c 11m [\scr p] c 11m [\scr p] a m 11 [\scr p] b 1m1 [\scr p] b 1m1 [\scr p] a m 11
R11 [\scr p] c 112/m [\scr p] c 112/m [\scr p] a 2/m11 [\scr p] b 12/m1 [\scr p] b 12/m1 [\scr p] a 2/m11
R12 [\scr p] c 1121/m [\scr p] c 1121/m [\scr p] a 21/m11 [\scr p] b 121/m1 [\scr p] b 121/m1 [\scr p] a 21/m11
R13 [\scr p] c 222 [\scr p] c 222 [\scr p] a 222 [\scr p] b 222 [\scr p] b 222 [\scr p] a 222
R14 [\scr p] c 2221 [\scr p] c 2221 [\scr p] a 2122 [\scr p] b 2212 [\scr p] b 2212 [\scr p] a 2122
R15 [\scr p] c mm 2 [\scr p] c mm 2 [\scr p] a 2mm [\scr p] b m 2m [\scr p] b m 2m [\scr p] a 2mm
R16 [\scr p] c cc 2 [\scr p] c cc 2 [\scr p] a 2aa [\scr p] b b 2b [\scr p] b b 2b [\scr p] a 2aa
R17 [\scr p] c mc 21 [\scr p] c cm 21 [\scr p] a 21am [\scr p] b b 21m [\scr p] b m 21b [\scr p] a 21ma
R18 [\scr p] c 2mm [\scr p] c m 2m [\scr p] a mm 2 [\scr p] b mm 2 [\scr p] b 2mm [\scr p] a m 2m
R19 [\scr p] c 2cm [\scr p] c c 2m [\scr p] a ma 2 [\scr p] b bm 2 [\scr p] b 2mb [\scr p] a m 2a
R20 [\scr p] c mmm [\scr p] c mmm [\scr p] a mmm [\scr p] b mmm [\scr p] b mmm [\scr p] a mmm
R21 [\scr p] c ccm [\scr p] c ccm [\scr p] a maa [\scr p] b bmb [\scr p] b bmb [\scr p] a maa
R22 [\scr p] c mcm [\scr p] c cmm [\scr p] a mam [\scr p] b bmm [\scr p] b mmb [\scr p] a mma