Reduction formula for point group D3h

Your representation

E 2C3 (z) 3C'2 h (xy) 2S3 3v
324 0 0 24 0 12

can be reduced to

A'1 A'2 E' A''1 A''2 E''
32 26 58 22 28 50

Substraction of translational and rotational contributions results in

A'1 A'2 E' A''1 A''2 E''
32 25 57 22 27 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 32
quadratic 101124 50721 4362
cubic 32157432 5410240 452013
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 32 25 57 22 27 49
quadratic 4362 4166 8528 4172 4207 8379
cubic 452013 450753 902709 449889 450829 900669
quartic XXX*XXX*XXX*XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 32

Literature




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