Molecular Energies of a Modified and Deformed Exponential-Type Potential Model.

Abstract The solutions of a one-dimensional relativistic Klein-Gordon equation for a modified and deformed exponential-type potential are obtained using supersymmetric approach and parametric Nikiforov-Uvarov method respectively. The numerical values for lithium molecule were obtained using the energy equations from the two methods. The non-relativistic limit of the relativistic Klein-Gordn equation was obtained for each of the energy equation using a popular transformation invoked on the solution of the Klein-Gordon equation. Numerical values for lithium and sodium molecules were also generated based on the two methods. The generated values for both relativistic and non-relativistic were compared with the experimental values. These results agreed perfectly with the experimental values of the studied molecules.