University of Exeter

Non-Crystallographic: S8

Exeter Symmetry Pages

S8 E S8 C4 S83 C2 S85 C43 S87 omega=exp(pii/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
omega1
omega7
i
-i
omega3
omega5
-1
-1
omega5
omega3
-i
i
omega7
omega1
(x, y),(Ix, Iy)  
E2 1
1
i
-i
-1
-1
-i
i
1
1
i
-i
-1
-1
-i
i
  (x2-y2, xy)
E3 1
1
omega3
omega5
-i
i
omega1
omega7
-1
-1
omega7
omega1
i
-i
omega5
omega3
  (yz, zx)

S8 stereograph
Stereograph