Reduction formula for point group D5h
Your representation
| E |
2C5 |
2(C5)2 |
5C'2 |
 h |
2S5 |
2(S5)3 |
5v |
| 24 |
4.8541 |
-1.8541 |
-2 |
6 |
-0.3820 |
-2.6180 |
4 |
can be reduced to
| A'1 |
A'2 |
E'1 |
E'2 |
A''1 |
A''2 |
E''1 |
E''2 |
| 2 |
1 |
4 |
2 |
0 |
3 |
2 |
1 |
Substraction of translational and rotational contributions results in
| A'1 |
A'2 |
E'1 |
E'2 |
A''1 |
A''2 |
E''1 |
E''2 |
| 2 |
0 |
3 |
2 |
0 |
2 |
1 |
1 |
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 |
2 |
0 |
3 |
2 |
0 |
2 |
1 |
1 |
| quadratic |
17 |
4 |
19 |
20 |
5 |
9 |
15 |
14 |
| cubic |
73 |
49 |
124 |
123 |
41 |
65 |
104 |
105 |
| quartic |
358 |
269 |
625 |
626 |
263 |
307 |
572 |
571 |
| 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