Reduction formula for point group C2h

Your representation

E C2 (z) i h
21 -3 -3 5

can be reduced to

Ag Bg Au Bu
5 4 4 8

Substraction of translational and rotational contributions results in

Ag Bg Au Bu
4 2 3 6



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 40
cubic 3375 680 176
quartic 50625 3060 832
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 6
quadratic 40 26 24 30
cubic 176 150 160 194
quartic 832 734 716 778

Number of independant internal coordinates 4

Literature




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