Equivalence of the empirical shifted Deng–Fan oscillator potential for diatomic molecules

Hamzavi, Majid; Ikhdair, Sameer M.; Thylwe, Karl‐Erik

doi:10.1007/s10910-012-0075-x

Cited by 72 publications

(76 citation statements)

References 55 publications

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“…Very recently, Wang and co-workers found that the Manning-Rosen, Deng-Fan and Schiöberg potential are not better than the traditional Morse potential in simulating the atomic interaction for diatomic molecules [28]. In order to overcome this problem, Hamzavi et al suggested a modification to the Deng-Fan potential, which they referred to as the shifted Deng-Fan potential (sDF) [17]. This modification is simply a Deng-Fan potential [19,20] shifted by dissociation energy D [17].…”

Section: Shifted Deng-fan Molecular Potentialmentioning

confidence: 99%

“…In order to overcome this problem, Hamzavi et al suggested a modification to the Deng-Fan potential, which they referred to as the shifted Deng-Fan potential (sDF) [17]. This modification is simply a Deng-Fan potential [19,20] shifted by dissociation energy D [17]. The researchers [17] examined the Schrödinger equation with this potential and applied their results to some diatomic molecules [17].…”

Section: Shifted Deng-fan Molecular Potentialmentioning

confidence: 99%

“…This modification is simply a Deng-Fan potential [19,20] shifted by dissociation energy D [17]. The researchers [17] examined the Schrödinger equation with this potential and applied their results to some diatomic molecules [17]. From their plot for the shifted Deng-Fan potential and the Morse potential using the parameters set for H 2 diatomic molecule, it was shown that the two potentials are very close to each other for large values of r in the regions r ≈ r e and r > r e , but they are very different at r ≈ 0.…”

Section: Shifted Deng-fan Molecular Potentialmentioning

confidence: 99%

“…From their plot for the shifted Deng-Fan potential and the Morse potential using the parameters set for H 2 diatomic molecule, it was shown that the two potentials are very close to each other for large values of r in the regions r ≈ r e and r > r e , but they are very different at r ≈ 0. Also, if both the Deng-Fan and the shifted Deng-Fan potentials are deep (that is, D >> 1) they could be well approximated by a harmonic oscillator in the region r ≈ r e [17].…”

Section: Shifted Deng-fan Molecular Potentialmentioning

confidence: 99%

“…In this context, to achieve the goal of the present work, we study the spectrum of some diatomic molecules using two exponential-type of molecular models; namely, the Tietz-Wei and shifted Deng-Fan potential models [16,17]. The bound state solution of the Schrödinger equation with these diatomic molecular potentials provides the rotational-vibrational energy states of the diatomic molecules in an accurate manner.…”

Section: Introductionmentioning

confidence: 99%

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Spectroscopic study of some diatomic molecules via the proper quantization rule

Falaye

Ikhdair²,

Hamzavi

2015

J Math Chem

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Spectroscopic techniques are very essential tools in studying electronic structures, spectroscopic constants and energetic properties of diatomic molecules. These techniques are also required for parametrization of new method based on theoretical analysis and computational calculations. In this research, we apply the proper quantization rule in spectroscopic study of some diatomic molecules by solving the Schrödinger equation with two solvable quantum molecular systems-Tietz-Wei and shifted DengFan potential models for their approximate nonrelativistic energy states via an appropriate approximation to the centrifugal term. We show that the energy levels can be determined from its ground state energy. The beauty and simplicity of the method applied in this study is that, it can be applied to any exactly as well as approximately solvable models. The validity and accuracy of the method is tested with previous techniques via numerical computation for H 2 and CO diatomic molecules. The result also include energy spectrum of 5 different electronic states of NO and 2 different electronic state of ICl.

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Section: Shifted Deng-fan Molecular Potentialmentioning

confidence: 99%

Section: Shifted Deng-fan Molecular Potentialmentioning

confidence: 99%

Section: Shifted Deng-fan Molecular Potentialmentioning

confidence: 99%

Section: Shifted Deng-fan Molecular Potentialmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spectroscopic study of some diatomic molecules via the proper quantization rule

Falaye

Ikhdair²,

Hamzavi

2015

J Math Chem

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Ro-vibrational studies of diatomic molecules in a shifted Deng-Fan oscillator potential

Roy

2013

Int. J. Quantum Chem.

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Bound-state spectra of shifted Deng-Fan oscillator potential are studied by means of a generalized pseudospectral method. Very accurate results are obtained for both low as well as high states by a non-uniform optimal discretization of the radial Schrödinger equation. Excellent agreement with literature data is observed in both s-wave and rotational states. Detailed variation of energies with respect to potential parameters is discussed. Application is made to the ro-vibrational levels of four representative diatomic molecules (H 2 , LiH, HCl, CO). Nine states having {n, ℓ} = 0, 1, 2 are calculated with good accuracy along with 15 other higher states for each of these molecules.Variation of energies with respect to state indices n, ℓ show behavior similar to that in the Morse potential. Many new states are reported here for the first time. In short, a simple, accurate and efficient method is presented for this and other similar potentials in molecular physics. *

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Bound state solutions of D‐dimensional schrödinger equation with exponential‐type potentials

Peña

García‐Martínez

García-Ravelo

et al. 2014

Int J of Quantum Chemistry

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In this article, using an exactly‐solvable multiparameter exponential‐type potential we propose a unified treatment of the analytical bound—state solutions of the Schrödinger equation for exponential‐type potentials in D‐dimensions. Our proposal accepts different approximations to the centrifugal term; however, its usefulness is exemplified in the frame of the Green and Aldrich approach. This fact enables us to compare our results with specific potentials found in the literature and that are obtained here as particular cases of our proposal. That is, instead of solving a specific exponential‐type potential, by resorting each time to a specialized method, the energy spectra and wavefunctions are derived straightforward from the proposed approach. Furthermore, our proposal can be used as an alternative way in the search of solutions to new exponential‐type potentials besides that one can study different approximations to the term 1/r2. © 2014 Wiley Periodicals, Inc.

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Equivalence of the empirical shifted Deng–Fan oscillator potential for diatomic molecules

Cited by 72 publications

References 55 publications

Spectroscopic study of some diatomic molecules via the proper quantization rule

Spectroscopic study of some diatomic molecules via the proper quantization rule

Ro-vibrational studies of diatomic molecules in a shifted Deng-Fan oscillator potential

Bound state solutions of D‐dimensional schrödinger equation with exponential‐type potentials

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