Reduction formula for point group C3v

Your representation

E 2C3 (z) 3v
21 0 3

can be reduced to

A1 A2 E
5 2 7

Substraction of translational and rotational contributions results in

A1 A2 E
4 1 5



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 15 15 4
quadratic 225 120 26
cubic 3375 680 129
quartic 50625 3060 546
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 4 1 5
quadratic 26 14 40
cubic 129 101 225
quartic 546 474 1020

Number of independant internal coordinates 4

Literature




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