Reduction formula for point group C3

Your representation

E C3 (C3)2
120 0 0

can be reduced to

A E
40 40

Substraction of translational and rotational contributions results in

A E
38 38



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 114 114 38
quadratic 12996 6555 2185
cubic 1481544 253460 84512
quartic 168896016 7413705 2471235
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 38 38
quadratic 2185 2185
cubic 84512 84474
quartic 2471235 2471235

Number of independant internal coordinates 38

Literature




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