Reduction formula for point group C3

Your representation

E C3 (C3)2
48 0 0

can be reduced to

A E
16 16

Substraction of translational and rotational contributions results in

A E
14 14



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 42 42 14
quadratic 1764 903 301
cubic 74088 13244 4424
quartic 3111696 148995 49665
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 14 14
quadratic 301 301
cubic 4424 4410
quartic 49665 49665

Number of independant internal coordinates 14

Literature




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