Reduction formula for point group D5d

Your representation

E 2C5 2(C5)2 5C'2 i 2(S10)3 2S10 5d
63 1.6180 -0.6180 -1 -3 -1.6180 0.6180 5

can be reduced to

A1g A2g E1g E2g A1u A2u E1u E2u
4 2 6 6 2 5 7 6

Substraction of translational and rotational contributions results in

A1g A2g E1g E2g A1u A2u E1u E2u
4 1 5 6 2 4 6 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 57 57 4
quadratic 3249 1653 102
cubic 185193 32509 1669
quartic 10556001 487635 24721
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 4 6 6
quadratic 102 67 169 168 78 84 162 162
cubic 1669 1572 3242 3242 1596 1664 3260 3260
quartic 24721 24098 48819 48819 24260 24448 48708 48708

Number of independant internal coordinates 4

Literature




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

Last update Mai, 23rd 2018 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement