pb2n m2m Orthorhombic/Rectangular
No. 34 pb2n Patterson symmetry pmmm

symmetry group diagram

Origin on 12n

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

Symmetry operations

(1)  1
      (1 | 0, 0, 0)
(2)  2   0, y, 0
      (2y | 0, 0, 0)
(3)  b   1/4yz
      (mx | 1/21/2, 0)
(4)  n (1/21/2, 0)   xy, 0
      (mz | 1/21/2, 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-z (3) -x + 1/2y + 1/2z (4) x + 1/2y + 1/2-z
hk: h + k = 2n
h0: h = 2n
0k: k = 2n
    Special: no extra conditions
2 a  . 2 . 
0, y, 0 1/2y + 1/2, 0

Symmetry of special projections

Along [001]   c1m1
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]2mg
a' = a   
Origin at 0, y, 0

Maximal non-isotypic subgroups


I [2] pb11 (12) 1; 3
  [2] p121 (p211, 8) 1; 2
  [2] p11n (p11a, 5) 1; 4
IIa none
IIb none

Maximal isotypic subgroups of lowest index


IIc [3] pb2n (a' = 3a) (34); [3] pb2n (b' = 3b) (34)

Minimal non-isotypic supergroups


I [2] pban (39); [2] pman (42)
II [2] cm2m (35); [2] pb2b (a' = 1/2a) (30); [2] pm2a (b' = 1/2b) (31)








































to end of page
to top of page