Reduction formula for point group C2v

Your representation

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

can be reduced to

A1 A2 B1 B2
12 12 12 12

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
11 11 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 11
quadratic 1764 903 242
cubic 74088 13244 3322
quartic 3111696 148995 37433
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 11 11 10 10
quadratic 242 221 220 220
cubic 3322 3322 3300 3300
quartic 37433 37202 37180 37180

Number of independant internal coordinates 11

Literature




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