Reduction formula for point group C3v

Your representation

E 2C3 (z) 3v
36 0 0

can be reduced to

A1 A2 E
6 6 12

Substraction of translational and rotational contributions results in

A1 A2 E
5 5 10



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 30 30 5
quadratic 900 465 85
cubic 27000 4960 830
quartic 810000 40920 6880
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 5 5 10
quadratic 85 70 155
cubic 830 830 1650
quartic 6880 6760 13640

Number of independant internal coordinates 5

Literature




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