Reduction formula for point group C5

Your representation

E C5 (C5)2 (C5)3 (C5)4
120 0.0000 -0.0000 -0.0000 0.0000

can be reduced to

A E1 E2
24 24 24

Substraction of translational and rotational contributions results in

A E1 E2
22 22 24



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 114 114 22
quadratic 12996 6555 1313
cubic 1481544 253460 50688
quartic 168896016 7413705 1482743
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 22 22 24
quadratic 1313 1312 1309
cubic 50688 50692 50694
quartic 1482743 1482742 1482739

Number of independant internal coordinates 22

Literature




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