Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
120 0 8 8

can be reduced to

A1 A2 B1 B2
34 26 30 30

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
33 25 28 28



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 114 114 33
quadratic 12996 6555 1698
cubic 1481544 253460 63666
quartic 168896016 7413705 1855703
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 33 25 28 28
quadratic 1698 1609 1624 1624
cubic 63666 63122 63336 63336
quartic 1855703 1852034 1852984 1852984

Number of independant internal coordinates 33

Literature




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