Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
54 0 18 0

can be reduced to

A1 A2 B1 B2
18 9 18 9

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
17 8 16 7



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 48 48 17
quadratic 2304 1176 353
cubic 110592 19600 5265
quartic 5308416 249900 64805
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 17 8 16 7
quadratic 353 248 328 247
cubic 5265 4560 5240 4535
quartic 64805 60320 64480 60295

Number of independant internal coordinates 17

Literature




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