Theoretical computation of thermodynamic functions of sodium dimer with modified shifted Morse potential

In this article, the asymptotic iteration method and the Laguerre polynomials are employed to obtain the eigensolutions of the Schrödinger equation with modified shifted Morse potential model. Vibrational energy results for sodium dimer have been presented numerically and these results are compared with experimental data from available literatures. With the help of the energy expression, the partition function and other thermodynamic function expressions of this potential model for sodium dimer are obtained, using the Euler MacLaurin’s formula. For various vibrational quantum numbers considered, the thermodynamic functions show high level of dependence on the temperature parameter. These results are justified by the numerical results presented for the thermodynamic functions of sodium dimer. Our results also agree with the available results in literatures and can also serve as a guiding reference in further studies concerning chemical physics and spectroscopy.