Reduction formula for point group D5h
Your representation
| E |
2C5 |
2(C5)2 |
5C'2 |
 h |
2S5 |
2(S5)3 |
5v |
| 60 |
0.0000 |
-0.0000 |
0 |
0 |
-0.0000 |
-0.0000 |
4 |
can be reduced to
| A'1 |
A'2 |
E'1 |
E'2 |
A''1 |
A''2 |
E''1 |
E''2 |
| 4 |
2 |
6 |
6 |
2 |
4 |
6 |
6 |
Substraction of translational and rotational contributions results in
| A'1 |
A'2 |
E'1 |
E'2 |
A''1 |
A''2 |
E''1 |
E''2 |
| 4 |
1 |
5 |
6 |
2 |
3 |
5 |
6 |
Force field analysis
Infrared and Raman activities (harmonic approximation)
| Method |
A'1 |
A'2 |
E'1 |
E'2 |
A''1 |
A''2 |
E''1 |
E''2 |
| 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 |
A'1 |
A'2 |
E'1 |
E'2 |
A''1 |
A''2 |
E''1 |
E''2 |
| linear |
4 |
1 |
5 |
6 |
2 |
3 |
5 |
6 |
| quadratic |
92 |
60 |
152 |
150 |
72 |
75 |
146 |
145 |
| cubic |
1429 |
1341 |
2772 |
2773 |
1369 |
1401 |
2772 |
2773 |
| quartic |
20031 |
19509 |
39539 |
39538 |
19688 |
19776 |
39464 |
39462 |
| Number of independant internal coordinates |
4 |
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