I212121 D29 222 Orthorhombic info
No. 24 I212121 Patterson symmetry Immm

symmetry group diagram

Origin at midpoint of three non-intersecting pairs of parallel 2 axes

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

Symmetry operations

For (0, 0, 0)+ set

(1)  1   (2)  2(0, 0, 1/2)   1/4, 0, z(3)  2(0, 1/2, 0)   0, y1/4(4)  2(1/2, 0, 0)   x1/4, 0

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

(1)  t(1/21/21/2)   (2)  2   0, 1/4z(3)  2   1/4y, 0(4)  2   x, 0, 1/4

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 d 1
(1) xyz(2) -x + 1/2-yz + 1/2(3) -xy + 1/2-z + 1/2(4) x + 1/2-y + 1/2-z
hkl: h + k + l = 2n
0kl: k + l = 2n
h0l: h + l = 2n
hk0: h + k = 2n
h00: h = 2n
0k0: k = 2n
00l: l = 2n
    Special: as above, plus
4 c  . . 2 
0, 1/4z 0, 3/4-z + 1/2
hk0: h  =  2n
4 b  . 2 . 
1/4y, 0 1/4-y1/2
h0l: h  =  2n
4 a  2 . . 
x, 0, 1/4 -x + 1/2, 0, 3/4
0kl: k  =  2n

Symmetry of special projections

Along [001]   c2mm
a' = a   b' = b   
Origin at 1/4, 0, z
Along [100]   c2mm
a' = b   b' = c   
Origin at x1/4, 0
Along [010]   c2mm
a' = c   b' = a   
Origin at 0, y1/4








































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