Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
48 0 8 8

can be reduced to

A1 A2 B1 B2
16 8 12 12

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
15 7 10 10



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 42 42 15
quadratic 1764 903 258
cubic 74088 13244 3450
quartic 3111696 148995 37865
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 15 7 10 10
quadratic 258 205 220 220
cubic 3450 3194 3300 3300
quartic 37865 36770 37180 37180

Number of independant internal coordinates 15

Literature




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