Reduction formula for point group C2h

Your representation

E C2 (z) i h
21 -1 -3 3

can be reduced to

Ag Bg Au Bu
5 4 5 7

Substraction of translational and rotational contributions results in

Ag Bg Au Bu
4 2 4 5



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method Ag Bg Au Bu
Infrared - - + +
Raman + + - -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 15 15 4
quadratic 225 120 38
cubic 3375 680 172
quartic 50625 3060 810
No. 1 : Total number of force constants .
No. 2 : Total number of force constants k.
No. 3 : Total number of nonvanishing force constants k.

Symmetry properties of force field parameters
Force field Ag Bg Au Bu
linear 4 2 4 5
quadratic 38 28 26 28
cubic 172 154 172 182
quartic 810 756 738 756

Number of independant internal coordinates 4

Literature




Character tables for chemically important point groups Character table for point group C2h Jacobs University Bremen