Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
21 -1 7 1

can be reduced to

A1 A2 B1 B2
7 3 7 4

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
6 2 5 2



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 15 15 6
quadratic 225 120 42
cubic 3375 680 202
quartic 50625 3060 866
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 6 2 5 2
quadratic 42 22 34 22
cubic 202 142 194 142
quartic 866 682 830 682

Number of independant internal coordinates 6

Literature




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