Reduction formula for point group C3v

Your representation

E 2C3 (z) 3v
18 0 2

can be reduced to

A1 A2 E
4 2 6

Substraction of translational and rotational contributions results in

A1 A2 E
3 1 4



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 12 12 3
quadratic 144 78 17
cubic 1728 364 69
quartic 20736 1365 245
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 3 1 4
quadratic 17 9 26
cubic 69 55 120
quartic 245 210 455

Number of independant internal coordinates 3

Literature




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