Thermal properties of anharmonic Eckart potential model using Euler–MacLaurin formula

Osobonye, G. T.; Adekanmbi, M; Ikot, Akpan N.; Okorie, U. S.; Rampho, G. J.

doi:10.1007/s12043-021-02122-z

Cited by 14 publications

(6 citation statements)

References 54 publications

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“…The numerical results depicted in Table 2 for the selected diatomic molecules are presented for various vibrational and rotational quantum numbers. The following conversion units have been adopted in our computations [27,67]: ℏc = 1973.29 eV ; 1 a. m. u. = 931.494028 MeV 𝑐 2 ⁄ ; and1 𝑐𝑚 −1 = 1.239841875 × 10 −4 𝑒𝑉.…”

Section: Resultsmentioning

confidence: 99%

Thermodynamic Evaluation of Coshine Yukawa Potential (Cyp) for Some Diatomic Molecule Systems

Ekong

Okorie

Ikot

et al. 2022

Preprint

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Within the framework of non-relativistic quantum mechanics, the bound state approximate solution of the SE is solved for the coshine Yukawa potential (CYP) using the Nikiforov–Uvarov (NU) method. By employing the Greene-Aldrich-type approximation scheme, we have obtained the explicit energy-eigenvalues and corresponding normalized eigen-functions in closed form for the newly proposed CYP for hydrogen-related diatomic molecules such as hydrogen dimer (H2), lithium hydride (LiH), scandium hydride (ScH) and hydrogen chloride (HCl). The thermodynamic properties are also evaluated including the vibrational partition function, vibrational mean energy, vibrational mean free energy, vibrational entropy and vibrational specific heat capacity. Presented also are some numerical results which show an indication of similar correlation of energies, owing to their ion-ion coupling with regards to similar atomic radii existing among the diatomic molecules.

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Section: Resultsmentioning

confidence: 99%

Thermodynamic Evaluation of Coshine Yukawa Potential (Cyp) for Some Diatomic Molecule Systems

Ekong

Okorie

Ikot

et al. 2022

Preprint

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“…When we have knowledge of the energy eigenvalues and wave function expressions for quantum particles within a system, we gain a comprehensive understanding of that quantum mechanical system. Several authors have continued to work on solving the Schrödinger wave equation in the presence of various physical potentials, including the Yukawa potential, Morse potential, Manning-Rosen potential, diatomic molecular potential, extended Cornell potential, Kratzer-Fues potential, trigonometric potential, repulsive inverse square potential among them (see, for examples [1][2][3][4][5][6][7][8] and references there in). The exact and approximate eigenvalue solutions of the Schrödinger equation (SE) with these interacting potentials are important in different branches of physics and chemistry.…”

Section: Introductionmentioning

confidence: 99%

“…, the Pekeris approximation scheme[32-36, 91, 92], applied to the centrifugal term present in the radial equation(7), can be expressed as: the above approximation (9) into the equation (7), we have…”

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confidence: 99%

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl

Ahmed,

Kumar Nayek

2024

Phys. Scr.

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In this paper, we investigate a quantum system composed of non-relativistic particles interacting with an external potential while in the presence of a topological defect produced by a point-like global monopole. We derive the radial equation of the Schrödinger equation for this system, considering a Yukawa potential combined with inverse square potential within the backdrop of a point-like global monopole. To determine the eigenvalue solutions for this quantum system, we employ a suitable approximation scheme known as the Pekeris approximation. This approximation is applied to the centrifugal term, and we solve the resulting radial equation using the parametric Nikiforov-Uvarov (NU) method. Subsequently, we examine the quantum system when only Yukawa potential is present, and we obtain the eigenvalue solutions using the same procedure. In both cases, we observe that the presence of the global monopole topological defect has a signiﬁcant impact on the energy spectrum of quantum particles interacting with an external potential. To illustrate this eﬀect, we consider a few diatomic molecules, such as O2, NO, LiH, and HCl. We present the energy spectrum and compare our results with previously published ﬁndings in the literature. Furthermore, we generate several plots to visually depict the inﬂuence of the global monopole on the energy eigenvalues for these diﬀerent molecules.

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“…These include vibrational partition function, vibrational mean-free energy, vibrational mean energy, vibrational entropy, etc. Before now, different authors have investigated the thermodynamic properties for some physical systems [12,13,[66][67][68][69]. The priority of this article is tied to the fact that, to the best our knowledge, thermodynamic properties of this potential is yet to be considered in literature.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic evaluation of Coshine Yukawa potential (CYP) for some diatomic molecule systems

et al. 2023

Self Cite

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Within the framework of non-relativistic quantum mechanics, the bound state approximate solution of the SE is solved for the coshine Yukawa potential (CYP) using the Nikiforov-Uvarov (NU) method. By employing the Greene-Aldrich-type approximation scheme, we have obtained the explicit energy-eigenvalues and corresponding normalized eigen-functions in closed form for the newly proposed CYP for hydrogen-related diatomic molecules such as hydrogen dimer (H2), lithium hydride (LiH), scandium hydride (ScH) and hydrogen chloride (HCl). The thermodynamic properties are also evaluated including the vibrational partition function, vibrational mean energy, vibrational mean free energy, vibrational entropy and vibrational specific heat capacity. Presented also are some numerical results which show an indication of similar correlation of energies, owing to their ion-ion coupling with regards to similar atomic radii existing among the diatomic molecules.

show abstract

Thermal properties of anharmonic Eckart potential model using Euler–MacLaurin formula

Cited by 14 publications

References 54 publications

Thermodynamic Evaluation of Coshine Yukawa Potential (Cyp) for Some Diatomic Molecule Systems

Thermodynamic Evaluation of Coshine Yukawa Potential (Cyp) for Some Diatomic Molecule Systems

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl

Thermodynamic evaluation of Coshine Yukawa potential (CYP) for some diatomic molecule systems

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Thermal properties of anharmonic Eckart potential model using Euler–MacLaurin formula

Cited by 14 publications

References 54 publications

Thermodynamic Evaluation of Coshine Yukawa Potential (Cyp) for Some Diatomic Molecule Systems

Thermodynamic Evaluation of Coshine Yukawa Potential (Cyp) for Some Diatomic Molecule Systems

Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O 2, NO, LiH, HCl

Thermodynamic evaluation of Coshine Yukawa potential (CYP) for some diatomic molecule systems

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Impact of topological defects and Yukawa potential combined with inverse square on eigenvalue spectra of diatomic molecules O ₂, NO, LiH, HCl