Reduction formula for point group D3h

Your representation

E 2C3 (z) 3C'2 h (xy) 2S3 3v
324 0 0 24 0 8

can be reduced to

A'1 A'2 E' A''1 A''2 E''
31 27 58 23 27 50

Substraction of translational and rotational contributions results in

A'1 A'2 E' A''1 A''2 E''
31 26 57 23 26 49



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A'1 A'2 E' A''1 A''2 E''
Infrared - - + - + -
Raman + - + - - +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 318 318 31
quadratic 101124 50721 4352
cubic 32157432 5410240 451803
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'1 A'2 E' A''1 A''2 E''
linear 31 26 57 23 26 49
quadratic 4352 4176 8528 4182 4197 8379
cubic 451803 450963 902709 450099 450619 900669
quartic XXX*XXX*XXX*XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 31

Literature




Character tables for chemically important point groups Character table for point group D3h Jacobs University Bremen