p112 2 Monoclinic/Oblique
No. 3 p112 Patterson symmetry p112/m

symmetry group diagram

Origin on 2

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

Symmetry operations

(1)  1
      (1 | 0, 0, 0)
(2)  2   0, 0, z
      (2z | 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 e 1
(1) xyz (2) -x-yz
no conditions
    Special: no extra conditions
1 d  2 
1/21/2z
1 c  2 
1/2, 0, z
1 b  2 
0, 1/2z
1 a  2 
0, 0, z

Symmetry of special projections

Along [001]   p2
a' = a   b' = b   
Origin at 0, 0, z
Along [100]   [script p]1m1
a' = bp   
Origin at x, 0, 0
Along [010]   [script p]1m1
a' = ap   
Origin at 0, y, 0

Maximal non-isotypic subgroups


I [2] p1 (1) 1
IIa none
IIb none

Maximal isotypic subgroups of lowest index


IIc [2] p112 (a' = 2a or b' = 2b or a' = a + b, b' = -a + b) (3)

Minimal non-isotypic supergroups


I [2] p112/m (6); [2] p112/a (7); [2] p222 (19); [2] p2122 (20); [2] p21212 (21); [2] c222 (22); [2] pmm2 (23); [2] pma2 (24); [2] pba2 (25); [2] cmm2 (26); [2] p4 (49); [2] p-4 (50); [3] p6 (73)
II none








































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