Thermal Properties of Deng-Fan-Eckart Potential model using Poisson Summation Approach
Abstract
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.
Keywords
Cite
@article{arxiv.2009.09292,
title = {Thermal Properties of Deng-Fan-Eckart Potential model using Poisson Summation Approach},
author = {C. O. Edet and U. S. Okorie and G. Osobonye and A. N. Ikot and G. J. Rampho and R. Sever},
journal= {arXiv preprint arXiv:2009.09292},
year = {2020}
}
Comments
29 pages, 18 figures, 4 tables, 4902 words