Reduction formula for point group C5

Your representation

E C5 (C5)2 (C5)3 (C5)4
36 3.2361 -1.2361 -1.2361 3.2361

can be reduced to

A E1 E2
8 8 6

Substraction of translational and rotational contributions results in

A E1 E2
6 6 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 30 30 6
quadratic 900 465 93
cubic 27000 4960 992
quartic 810000 40920 8184
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 6 6 6
quadratic 93 93 93
cubic 992 992 992
quartic 8184 8184 8184

Number of independant internal coordinates 6

Literature




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