Reduction formula for point group C2h

Your representation

E C2 (z) i h
54 0 0 18

can be reduced to

Ag Bg Au Bu
18 9 9 18

Substraction of translational and rotational contributions results in

Ag Bg Au Bu
17 7 8 16



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method Ag Bg Au Bu
Infrared - - + +
Raman + + - -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 48 48 17
quadratic 2304 1176 353
cubic 110592 19600 5265
quartic 5308416 249900 64805
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 Ag Bg Au Bu
linear 17 7 8 16
quadratic 353 247 248 328
cubic 5265 4535 4560 5240
quartic 64805 60295 60320 64480

Number of independant internal coordinates 17

Literature




Character tables for chemically important point groups Character table for point group C2h Jacobs University Bremen