Reduction formula for point group D5d

Your representation

E 2C5 2(C5)2 5C'2 i 2(S10)3 2S10 5d
60 0.0000 -0.0000 0 0 -0.0000 0.0000 4

can be reduced to

A1g A2g E1g E2g A1u A2u E1u E2u
4 2 6 6 2 4 6 6

Substraction of translational and rotational contributions results in

A1g A2g E1g E2g A1u A2u E1u E2u
4 1 5 6 2 3 5 6



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1g A2g E1g E2g A1u A2u E1u E2u
Infrared - - - - - + + -
Raman + - + + - - - -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 54 54 4
quadratic 2916 1485 92
cubic 157464 27720 1429
quartic 8503056 395010 20031
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 E1g E2g A1u A2u E1u E2u
linear 4 1 5 6 2 3 5 6
quadratic 92 60 152 150 72 75 146 145
cubic 1429 1341 2772 2773 1369 1401 2772 2773
quartic 20031 19509 39539 39538 19688 19776 39464 39462

Number of independant internal coordinates 4

Literature




Character tables for chemically important point groups Character table for point group D5d Jacobs University Bremen