Reduction formula for point group C5h

Your representation

E C5 (C5)2 (C5)3 (C5)4 h S5 (S5)7 (S5)3 (S5)9
210 0.0000 -0.0000 -0.0000 0.0000 10 -0.0000 -0.0000 -0.0000 -0.0000

can be reduced to

A' E'1 E'2 A'' E''1 E''2
22 22 22 20 20 20

Substraction of translational and rotational contributions results in

A' E'1 E'2 A'' E''1 E''2
21 21 22 19 19 20



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A' E'1 E'2 A'' E''1 E''2
Infrared - + - + - -
Raman + - + - + -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 204 204 21
quadratic 41616 20910 2107
cubic 8489664 1435820 143699
quartic 1731891456 74303685 7431450
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' E'1 E'2 A'' E''1 E''2
linear 21 21 22 19 19 20
quadratic 2107 2107 2105 2077 2076 2075
cubic 143699 143701 143702 143461 143463 143464
quartic 7431450 7431449 7431448 7429289 7429289 7429287

Number of independant internal coordinates 21

Literature




Character tables for chemically important point groups Character table for point group C5h Constructor University Bremen

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