The bond length of the improved Rosen Morse potential, applying for: Cesium, hydrogen, hydrogen fluoride, hydrogen chloride, lithium, and nitrogen molecules

Al‐Raeei, Marwan

doi:10.1016/j.rechem.2022.100560

Cited by 5 publications

(1 citation statement)

References 60 publications

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“…The vibrational energies for nitrogen molecule and sodium dimer were found 29 by studying the solutions of the SE with the IRMP. Al-Raeei 30 derived an expression of the bond equilibrium length of the IRMP and used it to analyze six dimers and molecules.Yanar 31 computed the vibrational energies of the SiF ( ) molecule utilizing particular cases of the general molecular potential, such as the Morse potential, IRMP, and others.…”

Section: Introductionmentioning

confidence: 99%

A precise estimation for vibrational energies of diatomic molecules using the improved Rosen–Morse potential

Abu‐Shady

Khokha²

2023

Sci Rep

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In the context of the generalized fractional derivative, novel solutions to the D-dimensional Schrödinger equation are investigated via the improved Rosen-Morse potential (IRMP). By applying the Pekeris-type approximation to the centrifugal term, the generalized fractional Nikiforov-Uvarov method has been used to derive the analytical formulations of the energy eigenvalues and wave functions in terms of the fractional parameters in D-dimensions. The resulting solutions are employed for a variety of diatomic molecules (DMs), which have numerous uses in many fields of physics. With the use of molecular parameters, the IRMP is utilized to reproduce potential energy curves for numerous DMs. The pure vibrational energy spectra for several DMs are determined using both the fractional and the ordinary forms to demonstrate the effectiveness of the method utilized in this work. As compared to earlier investigations, it has been found that our estimated vibrational energies correspond with the observed Rydberg-Klein-Rees (RKR) data much more closely. Moreover, it is observed that the vibrational energy spectra of different DMs computed in the existence of fractional parameters are superior to those computed in the ordinary case for fitting the observed RKR data. Thus, it may be inferred that fractional order significantly affects the vibrational energy levels of DMs. Both the mean absolute percentage deviation (MAPD) and average absolute deviation (AAD) are evaluated as the goodness of fit indicators. According to the estimated AAD and MAPD outcomes, the IRMP is an appropriate model for simulating the RKR data for all of the DMs under investigation.

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