Reduction formula for point group C8

Your representation

E C8 C4 (C8)3 C2 (C8)5 (C4)3 (C8)7
48 0.0000 0 -0.0000 0 -0.0000 0 0.0000

can be reduced to

A B E1 E2 E3
6 6 6 6 6

Substraction of translational and rotational contributions results in

A B E1 E2 E3
4 6 4 6 6


Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A B E1 E2 E3
Infrared + - + - -
Raman + - + + -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 42 42 4
quadratic 1764 903 119
cubic 74088 13244 1656
quartic 3111696 148995 18665
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 B E1 E2 E3
linear 4 6 4 6 6
quadratic 119 114 112 115 108
cubic 1656 1664 1648 1662 1652
quartic 18665 18660 18592 18655 18588

Number of independant internal coordinates 4

Literature



Character tables for chemically important point groups Character table for point group C8 Constructor University Bremen
Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement