P212121 D24 222 Orthorhombic info
No. 19 P212121 Patterson symmetry Pmmm

symmetry group diagram

Origin at midpoint of three non-intersecting pairs of parallel 21 axes

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

Symmetry operations

(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

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

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions
 General:
4 a 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
h00: h = 2n
0k0: k = 2n
00l: l = 2n

Symmetry of special projections

Along [001]   p2gg
a' = a   b' = b   
Origin at 1/4, 0, z
Along [100]   p2gg
a' = b   b' = c   
Origin at x1/4, 0
Along [010]   p2gg
a' = c   b' = a   
Origin at 0, y1/4








































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