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

symmetry group diagram

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   x1/4, 0
      (2x | 0, 1/2, 0)
(3)  -1   0, 0, 0
      (-1 | 0, 0, 0)
(4)  b   0, yz
      (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) xyz (2) x-y + 1/2-z (3) -x-y-z (4) -xy + 1/2z
0k: k = 2n
    Special: as above, plus
2 c  2 
x1/4, 0 -x3/4, 0
no extra conditions
2 b  -1 
1/2, 0, 0 1/21/2, 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]   [script p]211
a' = 1/2b   
Origin at x, 0, 0
Along [010]   [script p]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)








































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