Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
72 0 8 8

can be reduced to

A1 A2 B1 B2
22 14 18 18

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
21 13 16 16



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 66 66 21
quadratic 4356 2211 594
cubic 287496 50116 12722
quartic 18974736 864501 217187
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 21 13 16 16
quadratic 594 529 544 544
cubic 12722 12370 12512 12512
quartic 217187 215378 215968 215968

Number of independant internal coordinates 21

Literature




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