c211 2 Monoclinic/Rectangular No. 10 c211 Patterson symmetry c2/m11

Origin on 2

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

Symmetry operations

For (0, 0, 0)+ set

 (1)  1       (1 | 0, 0, 0) (2)  2   x, 0, 0       (2x | 0, 0, 0)

For (1/21/2, 0)+ set

 (1)  t (1/2, 1/2, 0)         (1 | 1/2, 1/2, 0) (2)  2 (1/2, 0, 0)   x, 1/4, 0       (2x | 1/2, 1/2, 0)

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(1/21/2, 0); (2)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions

(0, 0, 0)+  (1/21/2, 0)+   General:
 4 b 1
 (1) x, y, z (2) x, -y, -z
hk: h + k = 2n
h0: h = 2n
0k: k = 2n
Special: no extra conditions
 2 a 2
 x, 0, 0

Symmetry of special projections

 Along [001]   c1m1 a' = bp   b' = -a    Origin at 0, 0, z Along [100]   211 a' = 1/2b    Origin at x, 0, 0 Along [010]   11m a' = 1/2a    Origin at 0, y, 0

Maximal non-isotypic subgroups

 I [2] c1 (p1, 1) 1+
 IIa [2] p2111 (9) 1; 2 + (1/2, 1/2, 0) [2] p211 (8) 1; 2
 IIb none

Maximal isotypic subgroups of lowest index

 IIc [3] c211 (a' = 3a) (10)

Minimal non-isotypic supergroups

 I [2] c2/m11 (18); [2] c222 (22); [2] cm2m (35); [2] cm2e (36); [3] p312 (67); [3] p321 (68)
 II [2] p211 (a' = 1/2a, b' = 1/2b) (8)