Reduction formula for point group C3v

Your representation

E 2C3 (z) 3v
60 0 4

can be reduced to

A1 A2 E
12 8 20

Substraction of translational and rotational contributions results in

A1 A2 E
11 7 18



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 54 54 11
quadratic 2916 1485 265
cubic 157464 27720 4686
quartic 8503056 395010 66140
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 11 7 18
quadratic 265 230 495
cubic 4686 4566 9234
quartic 66140 65530 131670

Number of independant internal coordinates 11

Literature




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