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

International Tables for Crystallography (2016). Vol. A, ch. 1.6, p. 123

Table 1.6.4.21 

H. D. Flackb and U. Shmuelia

Table 1.6.4.21| top | pdf |
Reflection conditions and possible space groups with Bravais lattice hR and Laue class [\overline{3}] (hexagonal axes); hki are permutable; Patterson symmetry [R\overline{3}]; Ov = obverse setting; Rv = reverse setting

Reflection conditionsSpace groupNo.Space groupNo. 
[hkil][hki0][hh\overline{2h}l][h\overline{h}0l][000l][h\overline{h}00]
[-h+k+l=3n] [-h+k=3n] [l=3n] [h+l=3n] [l=3n] [h=3n] R3 146 [R\overline{3}] 148 Ov
                     
[h-k+l=3n] [h-k=3n] [l=3n] [-h+l=3n] [l=3n] [h=3n] R3 146 [R\overline{3}] 148 Rv