Reduction formula for point group C3

Your representation

E C3 (C3)2
12 0 0

can be reduced to

A E
4 4

Substraction of translational and rotational contributions results in

A E
2 2



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 6 6 2
quadratic 36 21 7
cubic 216 56 20
quartic 1296 126 42
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 2 2
quadratic 7 7
cubic 20 18
quartic 42 42

Number of independant internal coordinates 2

Literature




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