Subduction and Induction - Group Theory Applied to Chemistry - page 211

GH | G |
|

Γ σ Γ π Γ δ

H |

O h C 4 v 6 A 1 g + E g + T 1 u T 1 g + T 1 u + T 2 g + T 2 u A 2 g + A 2 u + E g

+ E u + T 2 g + T 2 u

C 3 v 8 A 1 g + A 2 u + T 1 u E g + E u + T 1 g + T 1 u Γ π

+ T 2 g + T 2 g + T 2 u

C 2 v 12 A 1 g + E g + T 1 u A 2 g + A 2 u + E g + E u A 1 g + A 1 u + E g

+

T 2 g +

+

2 T 1 g +

+

E u + T 1 g +

T 2 u 2 T 1 u T 1 u

+

T 2 g +

+

2 T 2 g + T 2 u 2 T 2 u

C s

24 A 1 g + A 2 g + 2 E g Γ reg Γ reg

+ T 1 g + 2 T 1 u + T 2 g

+ 2 T 2 u

C s 24 A 1 g + A 2 u + E g Γ reg Γ reg

+ E u + T 1 g + 2 T 1 u

+ 2 T 2 g + T 2 u

IC 5 12 A + T 1 + T 2 + H 2 T 1 + 2 G + 2 H 2 T 2 + 2 G + 2 H

C 3 20 A + T 1 + T 2 2 T 1 + 2 T 2 + 2 GΓ π

+ 2 G + H + 4 H

C 2 30 A + T 1 + T 2 4 T 1 + 4 T 2 + 4 G 2 Γ σ

+ + +

2 G 3 H 4 H

I h C 5 v 12 A g + T 1 u + T 2 u + H g T 1 g + T 1 u + T 2 g + T 2 u +

G g G g

+ G u + H g + H u + G u + H g + H u

C 3 v 20 A g + T 1 u + T 2 u T 1 g + T 1 u + T 2 g Γ π

+ G g + G u + H g + T 2 u + G g + G u

+ 2 H g + 2 H u

C 2 v 30 A g + T 1 u + T 2 u + G g 2 T 1 g + 2 T 1 u + 2 T 2 g A g + A u + T 1 g + T 1 u

+ G u + 2 H g + H u + 2 T 2 u + 2 G g + T 2 g + T 2 u + 2 G g

+ 2 G u + 2 H g + 2 G u + 3 H g + 3 H u

+ 2 H u

C s 60 A g + T 1 g + 2 T 1 u Γ reg Γ reg

+ T 2 g + 2 T 2 u + 2 G g

+ 2 G u + 3 H g + 2 H u