Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
15 -1 3 3

can be reduced to

A1 A2 B1 B2
5 2 4 4

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
4 1 2 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 9 9 4
quadratic 81 45 17
cubic 729 165 52
quartic 6561 495 147
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 4 1 2 2
quadratic 17 8 10 10
cubic 52 33 40 40
quartic 147 108 120 120

Number of independant internal coordinates 4

Literature




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