Reduction formula for point group C3h

Your representation

E C3(z) (C3)2 h S3 (S3)5
36 0 0 12 0 0

can be reduced to

A' E' A'' E''
8 8 4 4

Substraction of translational and rotational contributions results in

A' E' A'' E''
7 7 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 30 30 7
quadratic 900 465 92
cubic 27000 4960 910
quartic 810000 40920 7172
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 7 7 3 3
quadratic 92 92 63 63
cubic 910 903 750 747
quartic 7172 7172 6468 6468

Number of independant internal coordinates 7

Literature




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