Ima2 C2v22 mm2 Orthorhombic info
No. 46 Ima2 Patterson symmetry Immm

symmetry group diagram

Origin on n a 2

Asymmetric unit 0 ≤ x ≤ 1/4; 0 ≤ y ≤ 1; 0 ≤ z ≤ 1/2

Symmetry operations

For (0, 0, 0)+ set

(1)  1   (2)  2   0, 0, z(3)  a   x, 0, z(4)  m   1/4yz

For (1/21/21/2)+ set

(1)  t(1/21/21/2)   (2)  2(0, 0, 1/2)   1/41/4z(3)  c   x1/4z(4)  n(0, 1/21/2)   0, yz

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(1/21/21/2); (2); (3)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions
 (0, 0, 0)+  (1/21/21/2)+  General:
8 c 1
(1) xyz(2) -x-yz(3) x + 1/2-yz(4) -x + 1/2yz
hkl : h + k + l = 2n
0kl : k + l = 2n
h0l : hl = 2n
hk0 : h + k = 2n
h00 : h = 2n
0k0 : k = 2n
00l : l = 2n
    Special: as above, plus
4 b  m . . 
1/4yz 3/4-yz
no extra conditions
4 a  . . 2 
0, 0, z 1/2, 0, z
hkl : h = 2n

Symmetry of special projections

Along [001]   c2mm
a' = a   b' = b   
Origin at 1/41/4z
Along [100]   c1m1
a' = b   b' = c   
Origin at x, 0, 0
Along [010]   p11m
a' = 1/2c   b' = 1/2a   
Origin at 0, y, 0

Maximal non-isomorphic subgroups

I [2] I1a1 (Cc, 9)(1; 3)+
  [2] Im11 (Cm, 8)(1; 4)+
  [2] I112 (C2, 5)(1; 2)+
IIa [2] Pna21 (33)1; 3; (2; 4) + (1/21/21/2)
  [2] Pnc2 (30)1; 2; (3; 4) + (1/21/21/2)
  [2] Pma2 (28)1; 2; 3; 4
  [2] Pmc21 (26)1; 4; (2; 3) + (1/21/21/2)
IIbnone

Maximal isomorphic subgroups of lowest index

IIc[3] Ima2 (a' = 3a) (46); [3] Ima2 (b' = 3b) (46); [3] Ima2 (c' = 3c) (46)

Minimal non-isomorphic supergroups

I[2] Ibam (72); [2] Imma (74)
II[2] Cmm2 (c' = 1/2c) (35); [2] Amm2 (a' = 1/2a) (38); [2] Bme2 (b' = 1/2b) (Aem2, 39)








































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