Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
66 -2 6 6

can be reduced to

A1 A2 B1 B2
19 13 17 17

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
18 12 15 15



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 60 60 18
quadratic 3600 1830 489
cubic 216000 37820 9564
quartic 12960000 595665 149568
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 18 12 15 15
quadratic 489 441 450 450
cubic 9564 9346 9455 9455
quartic 149568 148497 148800 148800

Number of independant internal coordinates 18

Literature




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