pm2a m2m Orthorhombic/Rectangular
No. 31 pm2a Patterson symmetry pmmm

symmetry group diagram

Origin on 12a

Asymmetric unit 0 ≤ x ≤ 1/4; 0 ≤ y ≤ 1

Symmetry operations

(1)  1    (2)  2   0, y, 0 (3)  a   xy, 0 (4)  m   1/4yz

Generators selected (1); t(1, 0, 0); t(0, 1, 0); (2); (3)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions

  General:
4 c 1
(1) xyz (2) -xy-z (3) x + 1/2y-z (4) -x + 1/2yz
hk: h = 2n
h0: h = 2n
    Special: no extra conditions
2 b  m . . 
1/4yz 3/4y-z
2 a  . 2 . 
0, y, 0 1/2y, 0

Symmetry of special projections

Along [001]   p1m1
a' = 1/2a   b' = b   
Origin at 0, 0, z
Along [100]   [script p]11m
a' = b   
Origin at x, 0, 0
Along [010]   [script p]2mg
a' = a   
Origin at 0, y, 0

Maximal non-isotypic subgroups


I [2] pm11 (11) 1; 4
  [2] p121 (p211, 8) 1; 2
  [2] p11a (5) 1; 3
IIa none
IIb [2] pb2n (b' = 2b) (34); [2] pb21a (b' = 2b) (33); [2] pm21n (b' = 2b) (32)

Maximal isotypic subgroups of lowest index


IIc [2] pm2a (b' = 2b) (31); [3] pm2a (a' = 3a) (31)

Minimal non-isotypic supergroups


I [2] pmaa (38); [2] pmma (41)
II [2] cm2e (36); [2] pm2m (a' = 1/2a) (27)








































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