Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
18 -2 6 2

can be reduced to

A1 A2 B1 B2
6 2 6 4

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
5 1 4 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 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 1 4 2
quadratic 29 13 22 14
cubic 113 69 106 76
quartic 404 289 376 296

Number of independant internal coordinates 5

Literature




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