Reduction formula for point group S10

Your representation

E C5 (C5)2 (C5)3 (C5)4 i (S10)7 (S10)9 S10 (S10)3
63 1.6180 -0.6180 -0.6180 1.6180 -3 -1.6180 0.6180 0.6180 -1.6180

can be reduced to

Ag E1g E2g Au E1u E2u
6 6 6 7 7 6

Substraction of translational and rotational contributions results in

Ag E1g E2g Au E1u E2u
5 5 6 6 6 6



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method Ag E1g E2g Au E1u E2u
Infrared - - - + + -
Raman + + + - - -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 57 57 5
quadratic 3249 1653 169
cubic 185193 32509 3241
quartic 10556001 487635 48819
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 Ag E1g E2g Au E1u E2u
linear 5 5 6 6 6 6
quadratic 169 169 168 162 162 162
cubic 3241 3242 3242 3260 3260 3260
quartic 48819 48819 48819 48708 48708 48708

Number of independant internal coordinates 5

Literature




Character tables for chemically important point groups Character table for point group S10 Jacobs University Bremen

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