Reduction formula for point group S10
Your representation
E |
C5 |
(C5)2 |
(C5)3 |
(C5)4 |
i |
(S10)7 |
(S10)9 |
S10 |
(S10)3 |
63 |
1.6180 |
-0.6180 |
-0.6180 |
1.6180 |
-3 |
-1.6180 |
0.6180 |
0.6180 |
-1.6180 |
can be reduced to
Ag |
E1g |
E2g |
Au |
E1u |
E2u |
6 |
6 |
6 |
7 |
7 |
6 |
Substraction of translational and rotational contributions results in
Ag |
E1g |
E2g |
Au |
E1u |
E2u |
5 |
5 |
6 |
6 |
6 |
6 |
Force field analysis
Infrared and Raman activities (harmonic approximation)
Method |
Ag |
E1g |
E2g |
Au |
E1u |
E2u |
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 |
Ag |
E1g |
E2g |
Au |
E1u |
E2u |
linear |
5 |
5 |
6 |
6 |
6 |
6 |
quadratic |
169 |
169 |
168 |
162 |
162 |
162 |
cubic |
3241 |
3242 |
3242 |
3260 |
3260 |
3260 |
quartic |
48819 |
48819 |
48819 |
48708 |
48708 |
48708 |
Number of independant internal coordinates |
5 |
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