Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
36 0 0 4

can be reduced to

A1 A2 B1 B2
10 8 8 10

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
9 7 6 8



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 30 30 9
quadratic 900 465 130
cubic 27000 4960 1266
quartic 810000 40920 10362
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 9 7 6 8
quadratic 130 111 110 114
cubic 1266 1230 1214 1250
quartic 10362 10174 10158 10226

Number of independant internal coordinates 9

Literature




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