Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
18 0 6 0

can be reduced to

A1 A2 B1 B2
6 3 6 3

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
5 2 4 1



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 B1 B2
Infrared + - + +
Raman + + + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 12 12 5
quadratic 144 78 29
cubic 1728 364 113
quartic 20736 1365 404
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 B1 B2
linear 5 2 4 1
quadratic 29 14 22 13
cubic 113 76 106 69
quartic 404 296 376 289

Number of independant internal coordinates 5

Literature




Character tables for chemically important point groups Character table for point group C2v Jacobs University Bremen