Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
57 -3 9 9

can be reduced to

A1 A2 B1 B2
18 9 15 15

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
17 8 13 13



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 51 51 17
quadratic 2601 1326 371
cubic 132651 23426 6027
quartic 6765201 316251 79986
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 13 13
quadratic 371 305 325 325
cubic 6027 5673 5863 5863
quartic 79986 78315 78975 78975

Number of independant internal coordinates 17

Literature




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