Reduction formula for point group S10

Your representation

E C5 (C5)2 (C5)3 (C5)4 i (S10)7 (S10)9 S10 (S10)3
120 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
12 12 12 12 12 12

Substraction of translational and rotational contributions results in

Ag E1g E2g Au E1u E2u
11 11 12 11 11 12



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 114 114 11
quadratic 12996 6555 662
cubic 1481544 253460 25344
quartic 168896016 7413705 741537
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 11 11 12 11 11 12
quadratic 662 662 660 651 650 649
cubic 25344 25346 25347 25344 25346 25347
quartic 741537 741536 741535 741206 741206 741204

Number of independant internal coordinates 11

Literature




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