Reduction formula for point group C3

Your representation

E C3 (C3)2
78 0 0

can be reduced to

A E
26 26

Substraction of translational and rotational contributions results in

A E
24 24



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 72 72 24
quadratic 5184 2628 876
cubic 373248 64824 21624
quartic 26873856 1215450 405150
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 24 24
quadratic 876 876
cubic 21624 21600
quartic 405150 405150

Number of independant internal coordinates 24

Literature




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