Reduction formula for point group C3v
Your representation
E |
2C3 (z) |
3 v |
9 |
0 |
3 |
can be reduced to
Force field analysis
Infrared and Raman activities (harmonic approximation)
Method |
A1 |
A2 |
E |
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 |
E |
linear |
3 |
0 |
3 |
quadratic |
12 |
3 |
15 |
cubic |
38 |
19 |
54 |
quartic |
102 |
63 |
165 |
Number of independant internal coordinates |
3 |
Literature
- J.K.G. Watson, J. Mol. Spec. 41 229 (1972)
The Numbers of Structural Parameters and Potential Constants of Molecules