p2/b11 2/m Monoclinic/Rectangular No. 16 p2/b11 Patterson symmetry p2/m11

Origin at -1 on glide plane b

 Asymmetric unit 0 ≤ x ≤ 1; 0 ≤ y ≤ 1/2; 0 ≤ z

Symmetry operations

 (1)  1       (1 | 0, 0, 0) (2)  2   x, 1/4, 0       (2x | 0, 1/2, 0) (3)  -1   0, 0, 0       (-1 | 0, 0, 0) (4)  b   0, y, z       (mx | 0, 1/2, 0)

Generators selected (1); t(1, 0, 0); t(0, 1, 0); (2); (3)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions

General:
 4 d 1
 (1) x, y, z (2) x, -y + 1/2, -z (3) -x, -y, -z (4) -x, y + 1/2, z
0k: k = 2n
Special: as above, plus
 2 c 2
 x, 1/4, 0 -x, 3/4, 0
no extra conditions
 2 b -1
 1/2, 0, 0 1/2, 1/2, 0
hk: k = 2n
 2 a -1
 0, 0, 0 0, 1/2, 0
hk: k = 2n

Symmetry of special projections

 Along [001]   p2mg a' = bp   b' = -a    Origin at 0, 0, z Along [100]   211 a' = 1/2b    Origin at x, 0, 0 Along [010]   2mm a' = 1/2a    Origin at 0, y, 0

Maximal non-isotypic subgroups

 I [2] pb11 (12) 1; 4 [2] p211 (8) 1; 2 [2] p-1 (2) 1; 3
 IIa none
 IIb [2] p21/b11 (a' = 2a) (17)

Maximal isotypic subgroups of lowest index

 IIc [2] p2/b11 (a' = 2a) (16)

Minimal non-isotypic supergroups

 I [2] pmaa (38); [2] pban (39); [2] pmam (40); [2] pbaa (43)
 II [2] c2/m11 (18); [2] p2/m11 (b' = 1/2b) (14)