Reduction formula for point group C3h

Your representation

E C3(z) (C3)2 h S3 (S3)5
324 0 0 24 0 0

can be reduced to

A' E' A'' E''
58 58 50 50

Substraction of translational and rotational contributions results in

A' E' A'' E''
57 57 49 49



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A' E' A'' E''
Infrared - + + -
Raman + + - +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 318 318 57
quadratic 101124 50721 8528
cubic 32157432 5410240 902766
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 A' E' A'' E''
linear 57 57 49 49
quadratic 8528 8528 8379 8379
cubic 902766 902709 900718 900669
quartic XXX*XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 57

Literature




Character tables for chemically important point groups Character table for point group C3h Jacobs University Bremen