Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
24 0 8 0

can be reduced to

A1 A2 B1 B2
8 4 8 4

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
7 3 6 2



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 18 18 7
quadratic 324 171 58
cubic 5832 1140 330
quartic 104976 5985 1655
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 7 3 6 2
quadratic 58 33 48 32
cubic 330 250 320 240
quartic 1655 1370 1600 1360

Number of independant internal coordinates 7

Literature




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