Reduction formula for point group C3

Your representation

E C3 (C3)2
24 0 0

can be reduced to

A E
8 8

Substraction of translational and rotational contributions results in

A E
6 6



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 18 18 6
quadratic 324 171 57
cubic 5832 1140 384
quartic 104976 5985 1995
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 6 6
quadratic 57 57
cubic 384 378
quartic 1995 1995

Number of independant internal coordinates 6

Literature




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