P42 C43 4 Tetragonal info
No. 77 P42 Patterson symmetry P4/m

symmetry group diagram

Origin on 2 on 42

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

Symmetry operations

(1)  1   (2)  2   0, 0, z(3)  4+(0, 0, 1/2)   0, 0, z(4)  4-(0, 0, 1/2)   0, 0, z

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 d 1
(1) xyz(2) -x-yz(3) -yxz + 1/2(4) y-xz + 1/2
00l: l = 2n
    Special: as above, plus
2 c  2 . . 
0, 1/2z 1/2, 0, z + 1/2
hkl: h  +  k  +  l  =  2n
2 b  2 . . 
1/21/2z 1/21/2z + 1/2
hkl: l  =  2n
2 a  2 . . 
0, 0, z 0, 0, z + 1/2
hkl: l  =  2n

Symmetry of special projections

Along [001]   p4
a' = a   b' = b   
Origin at 0, 0, z
Along [100]   p1m1
a' = b   b' = c   
Origin at x, 0, 0
Along [110]   p1m1
a' = 1/2(-a + b)   b' = c   
Origin at xx, 0








































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