Reduction formula for point group C3

Your representation

E C3 (C3)2
18 0 0

can be reduced to

A E
6 6

Substraction of translational and rotational contributions results in

A E
4 4



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 12 12 4
quadratic 144 78 26
cubic 1728 364 124
quartic 20736 1365 455
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 4 4
quadratic 26 26
cubic 124 120
quartic 455 455

Number of independant internal coordinates 4

Literature




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