Reduction formula for point group C3

Your representation

E C3 (C3)2
66 0 0

can be reduced to

A E
22 22

Substraction of translational and rotational contributions results in

A E
20 20



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 60 60 20
quadratic 3600 1830 610
cubic 216000 37820 12620
quartic 12960000 595665 198555
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 20 20
quadratic 610 610
cubic 12620 12600
quartic 198555 198555

Number of independant internal coordinates 20

Literature




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