Diatomic molecule energies of the modified Rosen−Morse potential energy model

TangHong-Ming,; LiangGuang-Chuan,; ZhangLie-Hui,; ZhaoFeng,; JiaChun-Sheng,

doi:10.1139/cjc-2013-0563

Cited by 42 publications

(12 citation statements)

References 37 publications

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“…This finding implies that the use of the Rosen-Morse and the Modified-Rosen-Morse potential function within the framework of the semi-classical approximation has significantly improved the accuracy of the calculation of vibrational energies from the Morse potential, especially for higher vibrational states. This finding was also reported by Tang et al [44]. They fitted the potentials to the well-known Rydberg-Klein-Rees (RKR) data points of the Li2 molecule.…”

Section: Improved Vibrational Energies From the (Modified) Rosen Morse Potentialsupporting

confidence: 85%

“…This finding suggested that the modified Rosen Morse potential was more potent than the Morse potential in describing the interaction of diatomics. This conclusion was supported by the study of Tang et al [44], who solved the Schrödinger equation of some diatomics with some potential functions and found that the Modified Rosen Morse potential was better in fitting with experimental data. It is interesting to note that for the H2 molecule (the lightest molecule considered here), the Morse potential was somehow better than both Rosen Morse and the Modified Rosen Morse potential, with errors about 0.31%, 0.37%, and 0.39%, respectively.…”

Section: Comparison With Experimental Values and Literaturementioning

confidence: 64%

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A Theoretical Study on Vibrational Energies of Molecular Hydrogen and Its Isotopes Using a Semi-classical Approximation

et al. 2021

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This study aims to apply a semi-classical approach using some analytically solvable potential functions to accurately compute the first ten pure vibrational energies of molecular hydrogen (H2) and its isotopes in their ground electronic states. This study also aims at comparing the accuracy of the potential functions within the framework of the semi-classical approximation. The performance of the approximation was investigated as a function of the molecular mass. In this approximation, the nuclei were assumed to move in a classical potential. The Bohr-Sommerfeld quantization rule was then applied to calculate the vibrational energies of the molecules numerically. The results indicated that the first vibrational transition frequencies (v1ß0) of all hydrogen isotopes were consistent with the experimental ones, with a minimum percentage error of 0.02% for ditritium (T2) molecule using the Modified-Rosen-Morse potential. It was also demonstrated that, in general, the Rosen-Morse and the Modified-Rosen-Morse potential functions were better in terms of calculating the vibrational energies of the molecules than Morse potential. Interestingly, the Morse potential was found to be better than the Manning-Rosen potential. Finally, the semi-classical approximation was found to perform better for heavier isotopes for all potentials applied in this study.

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Section: Improved Vibrational Energies From the (Modified) Rosen Morse Potentialsupporting

confidence: 85%

Section: Comparison With Experimental Values and Literaturementioning

confidence: 64%

A Theoretical Study on Vibrational Energies of Molecular Hydrogen and Its Isotopes Using a Semi-classical Approximation

et al. 2021

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“…In 2014, Tang et al [198] presented a study about the vibrational energy levels calculated using the MRM potential for 7 Li 2 (6 1 Π u ) and SiC ( X 3 Π), and both were in good agreement with the experimental RKR data. For these diatomic systems, Tang et al also compared the MRM potential with the MOR [7], FM [113], VAR [14] III, and Lippicott [199] potentials.…”

Section: Potential Energy Functionsmentioning

confidence: 73%

A comparative review of 50 analytical representation of potential energy interaction for diatomic systems: 100 years of history

Araújo

Ballester

2021

Int J of Quantum Chemistry

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Interatomic potentials laid at the heart of molecular physics. They are a bridge between the spectroscopic and structural properties of molecular systems. In this paper, a century‐old review from 1920 to 2020, of functional forms used to analytically represent potential energy as a function of interatomic distance for diatomic systems is presented. With such a purpose 50 functions were selected. For all of them, motivation and the main mathematical features are discussed. Our goal is to provide a chronological pathway to the reader, even with little knowledge on the subject, to understand how to calculate each parameter that composes the interatomic potentials, as well as obtain spectroscopic constants from them. Comparative evaluation for the N2, CO, and HeH+ systems in their ground electronic states are also presented.

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“…Because of their various applications, solutions of the relativistic and nonrelativistic wave equations have been utilized in various quantum potential interactions utilizing different techniques [13,14]. These methods incorporate 1/ N shifted expansion procedure [15], Nikiforov-Uvarov approach [16,17], asymptotic iteration method [18], factorization method [19,20], formula technique [21], supersymmetric approach [22,23], ansatz methodology [24], Laplace transform approach [25,26], functional analysis approach [27,28], proper quantization rule [29], and others [30,31].…”

Section: Introductionmentioning

confidence: 99%

The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential

Roshanzamir

2022

Advances in High Energy Physics

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The relativistic solutions of the Klein-Gordon equation comprising an interaction of the generalized inversely quadratic Yukawa potential mixed linearly with the hyperbolic Schiöberg molecular potential is achieved employing the idea of parametric Nikiforov-Uvarov and the Greene-Aldrich approximation scheme. The energy spectra and the corresponding normalized wave functions are derived regarding the hypergeometric function in a closed form for arbitrary ℓ -state. Numerical results of the energy eigenvalue are proposed. Moreover, special circumstances of this potential are reviewed, and their energy eigenvalues were assessed. Subsequently, the Tsallis entropy and Rényi entropy both in position and momentum spaces are defined under the desired potential. The impacts of these entropies on the angular momentum quantum number are explored in detail.

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Diatomic molecule energies of the modified Rosen−Morse potential energy model

Cited by 42 publications

References 37 publications

A Theoretical Study on Vibrational Energies of Molecular Hydrogen and Its Isotopes Using a Semi-classical Approximation

A Theoretical Study on Vibrational Energies of Molecular Hydrogen and Its Isotopes Using a Semi-classical Approximation

A comparative review of 50 analytical representation of potential energy interaction for diatomic systems: 100 years of history

The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential

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