Energy levels and thermodynamic models of the general molecular oscillator under a 2D electromagnetic potential field

Abstract This study employs the parametric Nikiforov-Uvarov approach (PNUA) to resolve the radial Schrödinger equation (RSE) for the general molecular oscillator with a 2D electromagnetic potential coupling. Analytical approximations are developed for the energy levels, molar enthalpy, and constant-pressure molar heat capacity, with a focus on their applicability to diatomic molecules. The generated equations are employed to investigate the physical properties of real substances like BeCl (X 2 Σ + ), CsF (X 1 Σ + ), CuCl (X 1 Σ + ), CO + (X 2 Σ + ), 7 Li 2 (1 3 Δ g ), and P 2 (X 1 Σ g + ) molecules. The percentage average absolute deviations (PAAD) deduced with the analytical model equations are found to agree with the findings on diatomic molecules. Analysis of PAAD values also reveals that the predicted molar enthalpy and heat capacity of the diatomic molecules are better if the magnetic and Aharonov-Bohm components of the EM potential fields are finite.