Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
9 -1 3 1

can be reduced to

A1 A2 B1 B2
3 1 3 2

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
2 0 1 0



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 3 3 2
quadratic 9 6 4
cubic 27 10 6
quartic 81 15 9
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 2 0 1 0
quadratic 4 0 2 0
cubic 6 0 4 0
quartic 9 0 6 0

Number of independant internal coordinates 2

Literature




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