Force field analysis for point group Cv


Number of atoms: 5


Your 3N representation

E 2C v
15 5+ 10cos() 5

can be reduced to

A1=+ A2=- E1= E2= E3= E4=
5 0 5 0 0 0

Substraction of translational and rotational contributions results in

A1=+ A2=- E1= E2= E3= E4=
4 0 3 0 0 0



Infrared and Raman activities (harmonic approximation)
Method A1=+ A2=- E1= E2= E3= E4=
Infrared + - + - - -
Raman + - + + - -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 10 10 4
quadratic 100 55 16
cubic 1000 220 44
quartic 10000 715 116
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= E3= E4=
linear 4 0 3 0 0 0
quadratic 16 3 12 6 0 0
cubic 44 12 48 24 10 0
quartic 116 45 132 90 40 15

Number of independant internal coordinates 4

Literature




Character tables for chemically important point groups Computational Laboratory for Analysis, Modeling and Visualization Constructor University Bremen

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