Reduction formula for point group C3

Your representation

E C3 (C3)2
21 0 0

can be reduced to

A E
7 7

Substraction of translational and rotational contributions results in

A E
5 5



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A E
Infrared + +
Raman + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 15 15 5
quadratic 225 120 40
cubic 3375 680 230
quartic 50625 3060 1020
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
linear 5 5
quadratic 40 40
cubic 230 225
quartic 1020 1020

Number of independant internal coordinates 5

Literature




Character tables for chemically important point groups Character table for point group C3 Jacobs University Bremen