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

Origin on 12n

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

Symmetry operations

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

Symmetry of special projections

 Along [001]   c1m1 a' = a   b' = b    Origin at 0, 0, z Along [100]   11m a' = 1/2b    Origin at x, 0, 0 Along [010]   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)