p11m m Monoclinic/Oblique
No. 4 p11m Patterson symmetry p112/m

symmetry group diagram

Origin on mirror plane m

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

Symmetry operations

(1)  1
      (1 | 0, 0, 0)
(2)  m   xy, 0
      (mz | 0, 0, 0)
   

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

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions

  General:
2 b 1
(1) xyz (2) xy-z
no conditions
    Special: no extra conditions
1 a  m 
xy, 0

Symmetry of special projections

Along [001]   p1
a' = a   b' = b   
Origin at 0, 0, z
Along [100]   [script p]11m
a' = bp   
Origin at x, 0, 0
Along [010]   [script p]11m
a' = ap   
Origin at 0, y, 0

Maximal non-isotypic subgroups


I [2] p1 (1) 1
IIa none
IIb [2] p11a (a' = 2a) (5); [2] p11b (b' = 2b) (p11a, 5); [2] c11a (a' = 2ab' = 2b) (p11a, 5)

Maximal isotypic subgroups of lowest index


IIc [2] p11m (a' = 2a or b' = 2b or a' = a + b, b' = -a + b) (4)

Minimal non-isotypic supergroups


I [2] p112/m (6); [2] pm2m (27); [2] pb21m (29); [2] cm2m (35); [3] p-6 (74)
II none








































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