Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
180 0 4 4

can be reduced to

A1 A2 B1 B2
47 43 45 45

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
46 42 43 43



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 174 174 46
quadratic 30276 15225 3876
cubic 5268024 893200 223524
quartic 916636176 39524100 9884296
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 46 42 43 43
quadratic 3876 3781 3784 3784
cubic 223524 223164 223256 223256
quartic 9884296 9879756 9880024 9880024

Number of independant internal coordinates 46

Literature




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