Reduction formula for point group C5

Your representation

E C5 (C5)2 (C5)3 (C5)4
72 6.4721 -2.4721 -2.4721 6.4721

can be reduced to

A E1 E2
16 16 12

Substraction of translational and rotational contributions results in

A E1 E2
14 14 12



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A E1 E2
Infrared + + -
Raman + + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 66 66 14
quadratic 4356 2211 445
cubic 287496 50116 10024
quartic 18974736 864501 172901
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 A E1 E2
linear 14 14 12
quadratic 445 442 441
cubic 10024 10024 10022
quartic 172901 172900 172900

Number of independant internal coordinates 14

Literature




Character tables for chemically important point groups Character table for point group C5 Jacobs University Bremen