Symmetry Pages

Hexagonal: C6h (6/m)

Symmetry Pages

C6h E C6 C3 C2 C32 C65 i S32 S65 σh S6 S3    
Ag 1 1 1 1 1 1 1 1 1 1 1 1 Iz x2+y2, z2
Bg 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1    
E1g 1
1
ω1
ω5
ω2
ω4
-1
-1
ω4
ω2
ω5
ω1
1
1
ω1
ω5
ω2
ω4
-1
-1
ω4
ω2
ω5
ω1
(Ix, Iy) (zx, yz)
E2g 1
1
ω2
ω4
ω4
ω2
1
1
ω2
ω4
ω4
ω2
1
1
ω2
ω4
ω4
ω2
1
1
ω2
ω4
ω4
ω2
  (x2-y2, xy)
Au 1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 z  
Bu 1 -1 1 -1 1 -1 -1 1 -1 1 -1 1    
E1u 1
1
ω1
ω5
ω2
ω4
-1
-1
ω4
ω2
ω5
ω1
-1
-1
ω5
ω1
ω4
ω2
1
1
ω2
ω4
ω1
ω5
(x, y)  
E2u 1
1
ω2
ω4
ω4
ω2
1
1
ω2
ω4
ω4
ω2
-1
-1
ω4
ω2
ω2
ω4
-1
-1
ω4
ω2
ω2
ω4
   
ω=exp(πi/3)

C6h stereograph C6h solid
Stereograph 3D object

Revised: © University of Newcastle upon Tyne, UK