pb21m m2m Orthorhombic/Rectangular
No. 29 pb21m Patterson symmetry pmmm

symmetry group diagram

Origin on b21m

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

Symmetry operations

(1)  1    (2)  2(0, 1/2, 0)   0, y, 0 (3)  b   0, yz (4)  m   xy, 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 b 1
(1) xyz (2) -xy + 1/2-z (3) -xy + 1/2z (4) xy-z
0k: k = 2n
    Special: no extra conditions
2 a  . . m 
xy, 0 -xy + 1/2, 0

Symmetry of special projections

Along [001]   p1g1
a' = a   b' = b   
Origin at 0, 0, z
Along [100]   [script p]11m
a' = 1/2b   
Origin at x, 0, 0
Along [010]   [script p]2mm
a' = a   
Origin at 0, y, 0

Maximal non-isotypic subgroups


I [2] pb11 (12) 1; 3
  [2] p1211 (p2111, 9) 1; 2
  [2] p11m (4) 1; 4
IIa none
IIb [2] pb21a (a' = 2a) (33)

Maximal isotypic subgroups of lowest index


IIc [2] pb21m (a' = 2a) (29); [3] pb21m (b' = 3b) (29)

Minimal non-isotypic supergroups


I [2] pmam (40); [2] pbam (44)
II [2] pm2m (b' = 1/2b) (27)








































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