p112/m 2/m Monoclinic/Oblique
No. 6 p112/m Patterson symmetry p112/m

symmetry group diagram

Origin at centre (2/m)

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

Symmetry operations

(1)  1
      (1 | 0, 0, 0)
(2)  2   0, 0, z
      (2z | 0, 0, 0)
(3)  -1   0, 0, 0
      (-1 | 0, 0, 0)
(4)  m   xy, 0
      (mz | 0, 0, 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 j 1
(1) xyz (2) -x-yz (3) -x-y-z (4) xy-z
no conditions
    Special: no extra conditions
2 i  m 
xy, 0 -x-y, 0
2 h  2 
1/21/2z 1/21/2-z
2 g  2 
1/2, 0, z 1/2, 0, -z
2 f  2 
0, 1/2z 0, 1/2-z
2 e  2 
0, 0, z 0, 0, -z
1 d  2/m 
1/21/2, 0
1 c  2/m 
0, 1/2, 0
1 b  2/m 
1/2, 0, 0
1 a  2/m 
0, 0, 0

Symmetry of special projections

Along [001]   p2
a' = a   b' = b   
Origin at 0, 0, z
Along [100]   [script p]2mm
a' = bp   
Origin at x, 0, 0
Along [010]   [script p]2mm
a' = ap   
Origin at 0, y, 0

Maximal non-isotypic subgroups


I [2] p11m (4) 1; 4
  [2] p112 (3) 1; 2
  [2] p-1 (2) 1; 3
IIa none
IIb [2] p112/a (a' = 2a) (7); [2] p112/b (b' = 2b) (p112/a, 7); [2] c112/b (a' = 2ab' = 2b) (p112/a, 7)

Maximal isotypic subgroups of lowest index


IIc [2] p112/m (a' = 2a or b' = 2b or a' = a - b, b' = a + b) (6)

Minimal non-isotypic supergroups


I [2] pmmm (37); [2] pmam (40); [2] pbam (44); [2] cmmm (47); [2] p4/m (51); [3] p6/m (75)
II none








































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