Force field analysis for point group Cv
Number of atoms: 3
Your 3N representation
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 |
+ |
- |
+ |
+ |
- |
- |
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
- J.K.G. Watson, J. Mol. Spec. 41 229 (1972)
The Numbers of Structural Parameters and Potential Constants of Molecules
Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement