Reduction formula for point group C3h

Your representation

E C3(z) (C3)2 h S3 (S3)5
18 0 0 4 -2 -2

can be reduced to

A' E' A'' E''
3 4 3 2

Substraction of translational and rotational contributions results in

A' E' A'' E''
2 3 2 1



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A' E' A'' E''
Infrared - + + -
Raman + + - +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 12 12 2
quadratic 144 78 16
cubic 1728 364 68
quartic 20736 1365 241
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 A' E' A'' E''
linear 2 3 2 1
quadratic 16 15 10 11
cubic 68 66 56 54
quartic 241 242 214 213

Number of independant internal coordinates 2

Literature




Character tables for chemically important point groups Character table for point group C3h Jacobs University Bremen