Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
60 0 4 4

can be reduced to

A1 A2 B1 B2
17 13 15 15

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
16 12 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 54 54 16
quadratic 2916 1485 396
cubic 157464 27720 7004
quartic 8503056 395010 99166
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 16 12 13 13
quadratic 396 361 364 364
cubic 7004 6884 6916 6916
quartic 99166 98556 98644 98644

Number of independant internal coordinates 16

Literature




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