Symmetry Pages

Non-Crystallographic: S8

Symmetry Pages

S8 E S8 C4 S83 C2 S85 C43 S87 ω=exp(πi/4)
A 1 1 1 1 1 1 1 1 Iz x2+y2, z2
B 1 -1 1 -1 1 -1 1 -1 z  
E1 1
1
ω1
ω7
i
-i
ω3
ω5
-1
-1
ω5
ω3
-i
i
ω7
ω1
(x, y)  
E2 1
1
i
-i
-1
-1
-i
i
1
1
i
-i
-1
-1
-i
i
  (x2-y2, xy)
E3 1
1
ω3
ω5
-i
i
ω1
ω7
-1
-1
ω7
ω1
i
-i
ω5
ω3
(Ix, Iy)* (yz, zx)
*See R B Shirts, J. Chem. Ed, volume 84, page 1882 (2007).

S8 stereograph
Stereograph

Revised: © University of Newcastle upon Tyne, UK