Reduction formula for point group C8

Your representation

E C8 C4 (C8)3 C2 (C8)5 (C4)3 (C8)7
72 0.0000 0 -0.0000 0 -0.0000 0 0.0000

can be reduced to

A B E1 E2 E3
9 9 9 9 9

Substraction of translational and rotational contributions results in

A B E1 E2 E3
7 9 7 9 9


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 66 66 7
quadratic 4356 2211 284
cubic 287496 50116 6268
quartic 18974736 864501 108149
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 7 9 7 9 9
quadratic 284 279 274 280 270
cubic 6268 6276 6254 6274 6258
quartic 108149 108144 107986 108136 107982

Number of independant internal coordinates 7

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