p2111 2 Monoclinic/Rectangular
No. 9 p2111 Patterson symmetry p2/m11

symmetry group diagram

Origin on 21

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

Symmetry operations

(1)  1
      (1 | 0, 0, 0)
(2)  2 (1/2, 0, 0)   x, 0, 0
      (2x | 1/2, 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 a 1
(1) xyz (2) x + 1/2-y-z
h0: h = 2n

Symmetry of special projections

Along [001]   p1g1
a' = bp   b' = -a   
Origin at 0, 0, z
Along [100]   [script p]211
a' = b   
Origin at x, 0, 0
Along [010]   [script p]11g
a' = a   
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] p2111 (b' = 2b) (9); [3] p2111 (a' = 3a) (9)

Minimal non-isotypic supergroups


I [2] p21/m11 (15); [2] p21/b11 (17); [2] p2122 (20); [2] p21212 (21); [2] pm21b (28); [2] pb21m (29); [2] pm21n (32); [2] pb21a (33)
II [2] c211 (10); [2] p211 (a' = 1/2a) (8)








































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