Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
324 0 12 8

can be reduced to

A1 A2 B1 B2
86 76 82 80

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
85 75 80 78



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 318 318 85
quadratic 101124 50721 12826
cubic 32157432 5410240 1353530
quartic XXX*XXX*XXX*
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 85 75 80 78
quadratic 12826 12615 12650 12630
cubic 1353530 1351750 1352690 1352270
quartic XXX*XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 85

Literature




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