Bound-state energy spectrum and thermochemical functions of the deformed Schiöberg oscillator

A D Ahmed; E S Eyube; E Omugbe; C A Onate; P Timtere

doi:10.1038/s41598-023-47235-0

Bound-state energy spectrum and thermochemical functions of the deformed Schiöberg oscillator

Sci Rep. 2023 Nov 21;13(1):20386. doi: 10.1038/s41598-023-47235-0.

Authors

A D Ahmed¹, E S Eyube², E Omugbe³, C A Onate⁴, P Timtere¹

Affiliations

¹ Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria.
² Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria. edwineyubes@mau.edu.ng.
³ Department of Physics, University of Agriculture and Environmental Sciences, P.M.B. 1038, Umuagwo, Imo State, Nigeria.
⁴ Department of Physics, Kogi State University, Anyigba, Nigeria.

Abstract

In this study, a diatomic molecule interacting potential such as the deformed Schiöberg oscillator (DSO) have been applied to diatomic systems. By solving the Schrödinger equation with the DSO, analytical equations for energy eigenvalues, molar entropy, molar enthalpy, molar Gibbs free energy and constant pressure molar heat capacity are obtained. The obtained equations were used to analyze the physical properties of diatomic molecules. With the aid of the DSO, the percentage average absolute deviation (PAAD) of computed data from the experimental data of the ⁷Li₂ (2 ³Π_g), NaBr (X ¹Σ⁺), KBr (X ¹Σ⁺) and KRb (B ¹Π) molecules are 1.3319%, 0.2108%, 0.2359% and 0.8841%, respectively. The PAAD values obtained by employing the equations of molar entropy, scaled molar enthalpy, scaled molar Gibbs free energy and isobaric molar heat capacity are 1.2919%, 1.5639%, 1.5957% and 2.4041%, respectively, from the experimental data of the KBr (X ¹Σ⁺) molecule. The results for the potential energies, bound-state energy spectra, and thermodynamic functions are in good agreement with the literature on diatomic molecules.