Reduction formula for point group C2h

Your representation

E C2 (z) i h
18 0 0 6

can be reduced to

Ag Bg Au Bu
6 3 3 6

Substraction of translational and rotational contributions results in

Ag Bg Au Bu
5 1 2 4



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 5
quadratic 144 78 29
cubic 1728 364 113
quartic 20736 1365 404
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 5 1 2 4
quadratic 29 13 14 22
cubic 113 69 76 106
quartic 404 289 296 376

Number of independant internal coordinates 5

Literature




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