Reduction formula for point group D3d

Your representation

E 2C3 3C'2 i 2S6 3d
324 0 0 0 0 12

can be reduced to

A1g A2g Eg A1u A2u Eu
30 24 54 24 30 54

Substraction of translational and rotational contributions results in

A1g A2g Eg A1u A2u Eu
30 23 53 24 29 53



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1g A2g Eg A1u A2u Eu
Infrared - - - - + +
Raman + - + - - -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 318 318 30
quadratic 101124 50721 4338
cubic 32157432 5410240 451501
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 A1g A2g Eg A1u A2u Eu
linear 30 23 53 24 29 53
quadratic 4338 4142 8480 4196 4231 8427
cubic 451501 450241 901689 450401 451341 901689
quartic XXX*XXX*XXX*XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 30

Literature




Character tables for chemically important point groups Character table for point group D3d Jacobs University Bremen