Reduction formula for point group S10

Your representation

E C5 (C5)2 (C5)3 (C5)4 i (S10)7 (S10)9 S10 (S10)3
180 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
18 18 18 18 18 18

Substraction of translational and rotational contributions results in

Ag E1g E2g Au E1u E2u
17 17 18 17 17 18



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 174 174 17
quadratic 30276 15225 1532
cubic 5268024 893200 89318
quartic 916636176 39524100 3952794
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 17 17 18 17 17 18
quadratic 1532 1532 1530 1515 1514 1513
cubic 89318 89320 89321 89318 89320 89321
quartic 3952794 3952793 3952792 3952028 3952028 3952026

Number of independant internal coordinates 17

Literature




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