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. 122

Table 1.6.4.16 

H. D. Flackb and U. Shmuelia

Table 1.6.4.16| top | pdf |
Reflection conditions and possible space groups with Bravais lattice tI and Laue class 4/mmm; hk are permutable; Patterson symmetry I4/mmm

Reflection conditionsSpace groupNo.Space groupNo.Space groupNo.
hklhk00kl[h\,{\pm} h\, l]00lh00[h\,{\pm} h\, 0]
h + k + l h + k k + l l l h   I422 97 [I4mm] 107 [I\overline{4}m2] 119
              [I\overline{4}2m] 121 [I4/mmm] 139    
                         
h + k + l h + k k + l l [l=4n] h   I4122 98        
                         
h + k + l h + k k + l [2h+l=4n] [l=4n] h h [I4_{1}md] 109 [I\overline{4}2d] 122    
                         
h + k + l h + k k, l l l h   [I4cm] 108 [I\overline{4}c2] 120 [I4/mcm] 140
                         
h + k + l h + k k, l [2h+l=4n] [l=4n] h h [I4_{1}cd] 110        
                         
h + k + l h, k k + l [2h+l=4n] [l=4n] h h [I4_{1}/amd] 141        
                         
h + k + l h, k k, l [2h+l=4n] [l=4n] h h [I4_{1}/acd] 142