Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
21 -1 5 3

can be reduced to

A1 A2 B1 B2
7 3 6 5

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
6 2 4 3



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 40
cubic 3375 680 194
quartic 50625 3060 832
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 4 3
quadratic 40 24 30 26
cubic 194 150 176 160
quartic 832 716 778 734

Number of independant internal coordinates 6

Literature




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