Reduction formula for point group C2h

Your representation

E C2 (z) i h
18 0 0 2

can be reduced to

Ag Bg Au Bu
5 4 4 5

Substraction of translational and rotational contributions results in

Ag Bg Au Bu
4 2 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 4
quadratic 144 78 25
cubic 1728 364 98
quartic 20736 1365 364
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 3 3
quadratic 25 17 18 18
cubic 98 84 91 91
quartic 364 329 336 336

Number of independant internal coordinates 4

Literature




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