Thermal Properties of Deng-Fan-Eckart Potential model using Poisson Summation Approach
| Autor: | Edet, C. O., Okorie, U. S., Osobonye, G., Ikot, A. N., Rampho, G. J., Sever, R. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | J. Math Chem 58 (2020) 989 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10910-020-01107-4 |
| Popis: | The Deng-Fan-Eckart (DFE) potential is as good as the Morse potential in studying atomic interaction in diatomic molecules. By using the improved Pekeris-type approximation, to deal with the centrifugal term, we obtain the bound-state solutions of the radial Schr\"odinger equation with this adopted molecular model via the Factorization Method. With the energy equation obtained, the thermodynamic properties of some selected diatomic molecules(H2 , CO , and ScN ) were obtained using Poisson summation method.. The unnormalized wave function is also derived. The energy spectrum for a set of diatomic molecules for different values of the vibrational n and rotational l are obtained. To show the accuracy of our results, we discuss some special cases by adjusting some potential parameters and also compute the numerical eigenvalue of the Deng-Fan potential for comparison sake. However, it was found out that our results agree excellently with the results obtained via other methods. Comment: 29 pages, 18 figures, 4 tables, 4902 words |
| Databáze: | arXiv |
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