P42bc C4v8 4mm Tetragonal info
No. 106 P42bc Patterson symmetry P4/mmm

symmetry group diagram

Origin on 2 on 42 1 n

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

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
(5)  a   x1/4z(6)  b   1/4yz(7)  c   x + 1/2-xz(8)  n(1/21/21/2)   xxz

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2); (3); (5)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions
 General:
8 c 1
(1) xyz(2) -x-yz(3) -yxz + 1/2(4) y-xz + 1/2
(5) x + 1/2-y + 1/2z(6) -x + 1/2y + 1/2z(7) -y + 1/2-x + 1/2z + 1/2(8) y + 1/2x + 1/2z + 1/2
0kl: k = 2n
hhl: l = 2n
00l: l = 2n
h00: h = 2n
    Special: as above, plus
4 b  2 . . 
0, 1/2z 1/2, 0, z + 1/2 1/2, 0, z 0, 1/2z + 1/2
hkl: h  +  kl  =  2n
4 a  2 . . 
0, 0, z 0, 0, z + 1/2 1/21/2z 1/21/2z + 1/2
hkl: h  +  kl  =  2n

Symmetry of special projections

Along [001]   p4gm
a' = a   b' = b   
Origin at 0, 0, z
Along [100]   p1m1
a' = 1/2b   b' = c   
Origin at x, 0, 0
Along [110]   p1m1
a' = 1/2(-a + b)   b' = 1/2c   
Origin at xx, 0








































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