Symmetry Pages

Cubic: Th (m3)

Symmetry Pages

Th E 4C3 4C32 3C2 i 4S65 4S6 h Linear Quadratic Cubic
Ag 1 1 1 1 1 1 1 1   x2+y2+z2(=r2)  
Eg 1
1
ω1
ω2
ω2
ω1
1
1
1
1
ω1
ω2
ω2
ω1
1
1
  (x2y2, 3z2r2)  
Tg 3 0 0 −1 3 0 0 −1 (Ix, Iy, Iz) (xy, xz, yz)  
Au 1 1 1 1 −1 −1 −1 −1     xyz
Eu 1
1
ω1
ω2
ω2
ω1
1
1
−1
−1
−ω1
−ω2
−ω2
−ω1
−1
−1
     
Tu 3 0 0 −1 −3 0 0 1 (x, y, z)   (x3, y3, z3); (xy2, x2z, yz2); (xz2, x2y, y2z)
ω=exp(2πi/3)

Th solid C60Br24
3D object Molecule C60Br24

Revised: © University of Newcastle upon Tyne, UK