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

• Published in: Scientific reports Vol. 13; no. 1; p. 20386
• Main Authors: Ahmed, A. D., Eyube, E. S., Omugbe, E., Onate, C. A., Timtere, P.
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group 21.11.2023; Nature Portfolio
• Subjects: Coordinate transformations; Energy; Enthalpy; Entropy; Equilibrium; Experimental data; Free energy; Jupiter; Oscillators; Physical properties; Quantum physics
• ISSN: 2045-2322; 2045-2322
• DOI: 10.1038/s41598-023-47235-0

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 3Πg), 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.