Reduction formula for point group D3d

Your representation

E 2C3 3C'2 i 2S6 3d
24 0 0 0 0 4

can be reduced to

A1g A2g Eg A1u A2u Eu
3 1 4 1 3 4

Substraction of translational and rotational contributions results in

A1g A2g Eg A1u A2u Eu
3 0 3 1 2 3



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 18 18 3
quadratic 324 171 22
cubic 5832 1140 113
quartic 104976 5985 552
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 3 0 3 1 2 3
quadratic 22 8 30 12 15 27
cubic 113 79 189 89 103 189
quartic 552 453 1005 478 512 990

Number of independant internal coordinates 3

Literature




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