Reduction formula for point group C2h

Your representation

E C2 (z) i h
12 0 0 4

can be reduced to

Ag Bg Au Bu
4 2 2 4

Substraction of translational and rotational contributions results in

Ag Bg Au Bu
3 0 1 2



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 6 6 3
quadratic 36 21 10
cubic 216 56 22
quartic 1296 126 48
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 3 0 1 2
quadratic 10 2 3 6
cubic 22 6 10 18
quartic 48 18 22 38

Number of independant internal coordinates 3

Literature




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