Reduction formula for point group C2h

Your representation

E C2 (z) i h
54 -2 0 0

can be reduced to

Ag Bg Au Bu
13 14 13 14

Substraction of translational and rotational contributions results in

Ag Bg Au Bu
12 12 12 12



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 12
quadratic 2304 1176 312
cubic 110592 19600 4900
quartic 5308416 249900 62700
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 12 12 12 12
quadratic 312 288 288 288
cubic 4900 4900 4900 4900
quartic 62700 62400 62400 62400

Number of independant internal coordinates 12

Literature




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