Reduction formula for point group C5

Your representation

E C5 (C5)2 (C5)3 (C5)4
180 0.0000 -0.0000 -0.0000 0.0000

can be reduced to

A E1 E2
36 36 36

Substraction of translational and rotational contributions results in

A E1 E2
34 34 36



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 174 174 34
quadratic 30276 15225 3047
cubic 5268024 893200 178636
quartic 916636176 39524100 7904822
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 34 34 36
quadratic 3047 3046 3043
cubic 178636 178640 178642
quartic 7904822 7904821 7904818

Number of independant internal coordinates 34

Literature




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