Reduction formula for point group C3

Your representation

E C3 (C3)2
72 0 0

can be reduced to

A E
24 24

Substraction of translational and rotational contributions results in

A E
22 22



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 66 66 22
quadratic 4356 2211 737
cubic 287496 50116 16720
quartic 18974736 864501 288167
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 22 22
quadratic 737 737
cubic 16720 16698
quartic 288167 288167

Number of independant internal coordinates 22

Literature




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