Reduction formula for point group C2h

Your representation

E C2 (z) i h
18 -2 0 0

can be reduced to

Ag Bg Au Bu
4 5 4 5

Substraction of translational and rotational contributions results in

Ag Bg Au Bu
3 3 3 3



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 12 12 3
quadratic 144 78 24
cubic 1728 364 91
quartic 20736 1365 357
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 3 3 3
quadratic 24 18 18 18
cubic 91 91 91 91
quartic 357 336 336 336

Number of independant internal coordinates 3

Literature




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