Reduction formula for point group S10

Your representation

E C5 (C5)2 (C5)3 (C5)4 i (S10)7 (S10)9 S10 (S10)3
60 0.0000 -0.0000 -0.0000 0.0000 0 -0.0000 0.0000 0.0000 -0.0000

can be reduced to

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

Substraction of translational and rotational contributions results in

Ag E1g E2g Au E1u E2u
5 5 6 5 5 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 54 54 5
quadratic 2916 1485 152
cubic 157464 27720 2770
quartic 8503056 395010 39540
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 5 5 6
quadratic 152 152 150 147 146 145
cubic 2770 2772 2773 2770 2772 2773
quartic 39540 39539 39538 39464 39464 39462

Number of independant internal coordinates 5

Literature




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