Eigensolutions, Shannon entropy and information energy for modified Tietz-Hua potential

Onate, C. A.; Onyeaju, M. C.; Ituen, Eno E.; Ikot, Akpan N.; Ebomwonyi, O.; Okoro, J. O.; Dopamu, Kehinde Oladele

doi:10.1007/s12648-017-1124-x

Cited by 26 publications

(8 citation statements)

References 38 publications

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“…The explicit quantized momentum and the corresponding wave functions were deeply calculated. In one of the papers of Onate et al 15 , the Tietz–Hua potential was modified and studied under the non-relativistic regime. The solutions of the non-relativistic equation was used to study Shannon entropy and information energy.…”

Section: Introductionmentioning

confidence: 99%

“…The study will also extend to the computation of the vibrational energies of molecule. The modified Tietz–Hua potential is given by 15 where is the dissociation energy, is equilibrium bond length, is optimization parameter, and are potential constants, is Morse constant. The shape of the Tietz–Hua potential and modified Tietz–Hua potential are shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

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Bound-state solutions and thermal properties of the modified Tietz–Hua potential

Onate

Onyeaju

Omugbe

et al. 2021

Sci Rep

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An approximate solutions of the radial Schrödinger equation was obtained under a modified Tietz–Hua potential via supersymmetric approach. The effect of the modified parameter and optimization parameter respectively on energy eigenvalues were graphically and numerically examined. The comparison of the energy eigenvalues of modified Tietz–Hua potential and the actual Tietz–Hua potential were examined. The ro-vibrational energy of four molecules were also presented numerically. The thermal properties of the modified Tietz–Hua potential were calculated and the effect of temperature on each of the thermal property were examined under hydrogen fluoride, hydrogen molecule and carbon (ii) oxide. The study reveals that for a very small value of the modified parameter, the energy eigenvalues of the modified Tietz–Hua potential and that of the actual Tietz–Hua potential are equivalent. Finally, the vibrational energies for Cesium molecule was calculated and compared with the observed value. The calculated results were found to be in good agreement with the observed value.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bound-state solutions and thermal properties of the modified Tietz–Hua potential

Onate

Onyeaju

Omugbe

et al. 2021

Sci Rep

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“…Among the potentials presented, the TIE potential has been evidenced as a typical potential energy model, widely used in several recent researchers (see, e.g., Ikot et al [205] and Onate et al [206]). Considering this, in 2020, FWJ [18] has proposed an improved five‐parameter exponential‐type potential energy for diatomic systems, and they explored the relationship between their potential and the TIE potential.…”

Section: Potential Energy Functionsmentioning

confidence: 99%

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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“… 17 , Idiodi and Onate obtained Fisher information and variance for Frost Musulin potential. Onate et al 18 , also reported some theoretic quantities under Tietz-Hua potential. Edet et al 19 , calculated the thermal properties of the Deng–Fan–Eckart potential.…”

Section: Introductionmentioning

confidence: 96%

Ro-vibrational energies of cesium dimer and lithium dimer with molecular attractive potential

Onate

Akanbi

Okon

2021

Sci Rep

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An approximate solution of the Schrӧdinger equation for a molecular attractive potential was obtained using the parametric Nikiforov–Uvarov method. The energy equation and the corresponding radial wave functions were calculated. The effects of the potential parameters on the energy eigenvalues were examined. The thermal properties under the molecular attractive potential were calculated and the behaviour of the thermal properties with the maximum quantum state (λ) and the temperature parameter (β) respectively, were studied. Using the molecular spectroscopic parameters, the Rydberg–Klein–Rees (RKR) of cesium dimer and lithium dimer were both obtained and compared with the experimental values. The RKR values of both cesium dimer and lithium dimer calculated aligned with the observed values. The deviation and average deviation of the RKR for each molecule were also calculated.

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Eigensolutions, Shannon entropy and information energy for modified Tietz-Hua potential

Cited by 26 publications

References 38 publications

Bound-state solutions and thermal properties of the modified Tietz–Hua potential

Bound-state solutions and thermal properties of the modified Tietz–Hua potential

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

Ro-vibrational energies of cesium dimer and lithium dimer with molecular attractive potential

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