Reduction formula for point group C3

Your representation

E C3 (C3)2
15 0 0

can be reduced to

A E
5 5

Substraction of translational and rotational contributions results in

A E
3 3



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 9 9 3
quadratic 81 45 15
cubic 729 165 57
quartic 6561 495 165
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 3 3
quadratic 15 15
cubic 57 54
quartic 165 165

Number of independant internal coordinates 3

Literature




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