Reduction formula for point group C3v

Your representation

E 2C3 (z) 3v
120 0 8

can be reduced to

A1 A2 E
24 16 40

Substraction of translational and rotational contributions results in

A1 A2 E
23 15 38



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 E
Infrared + - +
Raman + - +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 114 114 23
quadratic 12996 6555 1137
cubic 1481544 253460 42528
quartic 168896016 7413705 1237452
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 A1 A2 E
linear 23 15 38
quadratic 1137 1048 2185
cubic 42528 41984 84474
quartic 1237452 1233783 2471235

Number of independant internal coordinates 23

Literature




Character tables for chemically important point groups Character table for point group C3v Jacobs University Bremen