Reduction formula for point group C3

Your representation

E C3 (C3)2
60 0 0

can be reduced to

A E
20 20

Substraction of translational and rotational contributions results in

A E
18 18



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 54 54 18
quadratic 2916 1485 495
cubic 157464 27720 9252
quartic 8503056 395010 131670
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 18 18
quadratic 495 495
cubic 9252 9234
quartic 131670 131670

Number of independant internal coordinates 18

Literature




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