Reduction formula for point group C5

Your representation

E C5 (C5)2 (C5)3 (C5)4
42 6.4721 -2.4721 -2.4721 6.4721

can be reduced to

A E1 E2
10 10 6

Substraction of translational and rotational contributions results in

A E1 E2
8 8 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 36 36 8
quadratic 1296 666 136
cubic 46656 8436 1688
quartic 1679616 82251 16451
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 8 8 6
quadratic 136 133 132
cubic 1688 1688 1686
quartic 16451 16450 16450

Number of independant internal coordinates 8

Literature




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

Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement