Reduction formula for point group C5

Your representation

E C5 (C5)2 (C5)3 (C5)4
30 0.0000 -0.0000 -0.0000 0.0000

can be reduced to

A E1 E2
6 6 6

Substraction of translational and rotational contributions results in

A E1 E2
4 4 6



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 24 24 4
quadratic 576 300 62
cubic 13824 2600 516
quartic 331776 17550 3512
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 4 4 6
quadratic 62 61 58
cubic 516 520 522
quartic 3512 3511 3508

Number of independant internal coordinates 4

Literature




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