Reduction formula for point group C3h

Your representation

E C3(z) (C3)2 h S3 (S3)5
24 0 0 0 0 0

can be reduced to

A' E' A'' E''
4 4 4 4

Substraction of translational and rotational contributions results in

A' E' A'' E''
3 3 3 3



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 18 18 3
quadratic 324 171 30
cubic 5832 1140 192
quartic 104976 5985 1005
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 3 3 3 3
quadratic 30 30 27 27
cubic 192 189 192 189
quartic 1005 1005 990 990

Number of independant internal coordinates 3

Literature




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