Reduction formula for point group C3v

Your representation

E 2C3 (z) 3v
72 0 8

can be reduced to

A1 A2 E
16 8 24

Substraction of translational and rotational contributions results in

A1 A2 E
15 7 22



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 66 66 15
quadratic 4356 2211 401
cubic 287496 50116 8536
quartic 18974736 864501 144988
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 15 7 22
quadratic 401 336 737
cubic 8536 8184 16698
quartic 144988 143179 288167

Number of independant internal coordinates 15

Literature




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