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

International Tables for Crystallography (2015). Vol. A, ch. 1.4, p. 73

Table 1.4.5.2 

B. Souvignierd

Table 1.4.5.2| top | pdf |
Coset representatives of [P\bar{4}b2] (117) relative to its translation subgroup

 Coordinate tripletDescription
[\ispecialfonts{\sfi g}_1]: [x,y,z] Identity
[\ispecialfonts{\sfi g}_2]: [\bar x,\bar y,z] Twofold rotation with axis along [001]
[\ispecialfonts{\sfi g}_3]: [y,\bar x,\bar z] Fourfold rotoinversion with axis along [001]
[\ispecialfonts{\sfi g}_4]: [\bar y,x,\bar z] Fourfold rotoinversion with axis along [001]
[\ispecialfonts{\sfi g}_5]: [x+\textstyle{{1 \over 2}},\bar y+\textstyle{{1 \over 2}},z] Glide reflection with normal vector [010] and glide component along [100]
[\ispecialfonts{\sfi g}_6]: [\bar x+\textstyle{{1 \over 2}},y+\textstyle{{1 \over 2}},z] Glide reflection with normal vector [100] and glide component along [010]
[\ispecialfonts{\sfi g}_7]: [y+\textstyle{{1 \over 2}},x+\textstyle{{1 \over 2}},\bar z] Twofold screw rotation with axis parallel to [110]
[\ispecialfonts{\sfi g}_8]: [\bar y+\textstyle{{1 \over 2}},\bar x+\textstyle{{1 \over 2}},\bar z] Twofold rotation with axis parallel to [[1\bar{1}0]]