Reduction formula for point group D3d

Your representation

E 2C3 3C'2 i 2S6 3d
324 0 0 0 0 8

can be reduced to

A1g A2g Eg A1u A2u Eu
29 25 54 25 29 54

Substraction of translational and rotational contributions results in

A1g A2g Eg A1u A2u Eu
29 24 53 25 28 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 29
quadratic 101124 50721 4328
cubic 32157432 5410240 451291
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 29 24 53 25 28 53
quadratic 4328 4152 8480 4206 4221 8427
cubic 451291 450451 901689 450611 451131 901689
quartic XXX*XXX*XXX*XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 29

Literature




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