Reduction formula for point group C3h

Your representation

E C3(z) (C3)2 h S3 (S3)5
12 0 0 4 -2 -2

can be reduced to

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

Substraction of translational and rotational contributions results in

A' E' A'' E''
1 2 1 0



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 6 6 1
quadratic 36 21 6
cubic 216 56 14
quartic 1296 126 28
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 1 2 1 0
quadratic 6 5 1 2
cubic 14 13 6 5
quartic 28 29 14 13

Number of independant internal coordinates 1

Literature




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