Reduction formula for point group D5

Your representation

E 2C5 (z) 2(C5)2 5C'2
210 0.0000 -0.0000 0

can be reduced to

A1 A2 E1 E2
21 21 42 42

Substraction of translational and rotational contributions results in

A1 A2 E1 E2
21 19 40 42



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 E1 E2
Infrared - + + -
Raman + - + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 204 204 21
quadratic 41616 20910 2144
cubic 8489664 1435820 143683
quartic 1731891456 74303685 7433099
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 A1 A2 E1 E2
linear 21 19 40 42
quadratic 2144 2040 4183 4180
cubic 143683 143477 287164 287166
quartic 7433099 7427640 14860738 14860735

Number of independant internal coordinates 21

Literature




Character tables for chemically important point groups Character table for point group D5 Constructor University Bremen

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