International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by U. Shmueli

International Tables for Crystallography (2010). Vol. B, ch. 2.5, p. 309   | 1 | 2 |

Table 2.5.3.2 

M. Tanakaf

Table 2.5.3.2| top | pdf |
Symmetry elements of an infinitely extended parallel-sided specimen and diffraction groups

 12346m2m(m)3m4m(m)6m(m) 
1 1 2 3 4 6 m 2m(m) 3m 4m(m) 6m(m) 10
(m′) 1R 1R 21R 31R 41R 61R m1R 2m(m)1R 3m1R 4m(m)1R 6m(m)1R 10
(i) 2R 2R [21R] 6R [41R] [61R] 2Rm(mR) [2m(m)1R] 6Rm(mR) [4m(m)1R] [6m(m)1R] 4
            [2Rm(mR)] [2m(m)1R] [3m1R]      
(2′) mR mR 2mR(mR) 3mR 4mR(mR) 6mR(mR) [m1R] [4R(m)mR] [6Rm(mR)] [4m(m)1R] [6Rm(mR)] 5
[(\bar 4)] 4R   4R   [41R]   4Rm(mR) [4Rm(mR)]   [4m(m)1R]   2

1R × 2R = 2, 2R × 2R = 1, mR × 2R = m, 4R × 2R = 4, 1R × mR = m × mR, 1R × 4R = 4 × 1R, mR × 4R = m × 4R.