Vibrational spectra for an extended cosine hyperbolic type potential model

The radial Schrödinger equation is solved for an extension of a cosine hyperbolic type potential using the parametric Nikiforov-Uvarov method to obtain the energy equation and wave function. Using the condition of the diatomic molecular potential function, the screening parameter was calculated to suit the computations for different molecules. Numerical results are generated with three values of the potential parameter A for seven molecules. The calculated results with the three different values of A are compared with experimental results. The calculated results for all values of A are found to be in good agreement with the experimental results. However, the higher the value of A, the more disagreement between the calculated values and experimental data. This study shows that a non-molecular potential model reproduced experimental data even more than some molecular potential models.