Force field analysis for point group Cv


Number of atoms: 3


Your 3N representation

E 2C v
9 3+ 6cos() 3

can be reduced to

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

Substraction of translational and rotational contributions results in

A1=+ A2=- E1= E2= E3= E4=
2 0 1 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 4 4 2
quadratic 16 10 4
cubic 64 20 6
quartic 256 35 9
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 2 0 1 0 0 0
quadratic 4 0 2 1 0 0
cubic 6 0 4 2 1 0
quartic 9 0 6 4 2 1

Number of independant internal coordinates 2

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