Reduction formula for point group C2v

Your representation

E C2 (z) v(xz) v(yz)
252 0 4 4

can be reduced to

A1 A2 B1 B2
65 61 63 63

Substraction of translational and rotational contributions results in

A1 A2 B1 B2
64 60 61 61



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 246 246 64
quadratic 60516 30381 7692
cubic 14886936 2511496 628188
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 64 60 61 61
quadratic 7692 7561 7564 7564
cubic 628188 627684 627812 627812
quartic XXX*XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 64

Literature




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