Reduction formula for point group C3v

Your representation

E 2C3 (z) 3v
24 0 4

can be reduced to

A1 A2 E
6 2 8

Substraction of translational and rotational contributions results in

A1 A2 E
5 1 6



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 E
Infrared + - +
Raman + - +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 18 18 5
quadratic 324 171 37
cubic 5832 1140 216
quartic 104976 5985 1064
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 A1 A2 E
linear 5 1 6
quadratic 37 20 57
cubic 216 168 378
quartic 1064 931 1995

Number of independant internal coordinates 5

Literature




Character tables for chemically important point groups Character table for point group C3v Jacobs University Bremen