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Due to one of the most representative contributions to the energy in diatomic molecules being the vibrational, we consider the generalized Morse potential (GMP) as one of the typical potential of interaction for one-dimensional microscopic…

Chemical Physics · Physics 2019-01-03 G. Valencia-Ortega , L. A. Arias-Hernandez

It is shown that that the exact solution of the Schrodinger equation for the molecule consisting of two atoms interacting via improved Tietz potential, the analytical expressions for the energy of the rotational-vibrational levels,…

Chemical Physics · Physics 2019-02-14 Ikhtier Umirzakov

In this paper we present a closed-form expression of the vibrational partition function for the one-dimensional q-deformed Morse potential energy model. Through this function the related thermodynamic functions are derived and studied in…

Quantum Physics · Physics 2018-02-06 Abdelmalek Boumali

Within the framework of non-relativistic quantum mechanics, the ro-vibrational energy spectra of the improved deformed exponential-type potential model are obtained using the Greene-Aldrich approximation scheme and an appropriate coordinate…

Chemical Physics · Physics 2020-01-15 Uduakobong S. Okorie , Akpan N. Ikot , Ephraim O. Chukwuocha

The physics of vibrational kinetics in nitrogen-containing plasma produced by collisions with electrons is studied on the basis of recently derived cross sections and rate coefficients for the resonant vibrational-excitation by…

Chemical Physics · Physics 2013-04-17 V. Laporta , D. Bruno

In this study, we obtain the approximate analytical solutions of the radial Schrodinger equation for the New Generalized Morse-Like Potential in arbitrary dimensions by using the Nikiforov Uvarov Method. Energy eigenvalues and corresponding…

Quantum Physics · Physics 2020-12-07 C. M. Ekpo , Ephraim P. Inyang , P. O. Okoi , T. O. Magu , E. P. Agbo , K O Okorie , Etido P. Inyang

It is shown that: the analytical solution of the stationary Schrodinger equation for diatomic molecules with the shifted Tietz-Wei potential, which was reported in the paper Exact and Poisson summation thermodynamic properties for diatomic…

Chemical Physics · Physics 2019-02-14 Ikhtier Umirzakov

A new ab initio interaction potential for the electronic ground state of the argon dimer has been developed. The new potential uses previously calculated accurate Born--Oppenheimer potential while significantly improving the description of…

Chemical Physics · Physics 2024-04-10 Jakub Lang , Michal Przybytek , Michal Lesiuk

An algebraic model based on Lie-algebraic techniques is applied to the analysis of thermodynamic vibrational properties of diatomic molecules. The local anharmonic effects are described by a Morse-like potential and corresponding anharmonic…

Statistical Mechanics · Physics 2007-05-23 Maia Angelova , A. Frank

For diatomic molecules and chains bound anharmonically by interactions such a the Lennard Jones and Morse potentials, we obtain analytical expressions for thermodynamic observables including the mean bond length, thermally averaged internal…

Statistical Mechanics · Physics 2016-05-20 D. J. Priour , Christopher Watenpool

The electron and gas temperature of non-equilibrium argon plasma torch sustained by a focused 24 GHz microwave beam in the external atmosphere of air was measured by optical emission spectroscopy. The excitation temperature of argon atoms…

The change of the vibrational energy within a molecule after collisions with another molecule plays an essential role in the evolution of molecular internal energy distributions, which is also the limiting process in the relaxation of the…

Chemical Physics · Physics 2024-09-16 Xiaorui Zhao , Xuefei Xu , Haitao Xu

We argue that several potentials proposed recently for the analysis of the vibrational-rotational spectra of diatomic molecules and their thermodynamic properties exhibit a flaw. One can easily show that the parameters $D_e $ and $r_e$ in…

Quantum Physics · Physics 2024-05-31 Francisco M. Fernández

Metrology in atomic physics has been crucial for a number of advanced determinations of fundamental constants. In addition to very precise frequency measurements, the molar polarizability of an atomic gas has recently also been measured…

Atomic Physics · Physics 2013-09-10 U. D. Jentschura , M. Puchalski , P. J. Mohr

Molecular dynamics calculations of inelastic collisions of atomic oxygen with molecular nitrogen are known to show orders of magnitude discrepancies with experimental results in the range from room temperature to many thousands of degrees…

In a recent work we have proposed an original analytic expression for the partition function of the quartic oscillator. This partition function, which has a simple and compact form with {\it no adjustable parameters}, reproduces some key…

Quantum Physics · Physics 2024-09-23 Michel Caffarel

Temperature effects on the energetics of the 90-degree partial dislocation in silicon and germanium are investigated, using non-equilibrium methods to estimate free energies, coupled with Monte Carlo simulations. Atomic interactions are…

Materials Science · Physics 2016-08-31 Caetano R. Miranda , Ricardo W. Nunes , A. Antonelli

In a recent work (Phys.Rev.C84, 044321, 2011) M.J. Ermamatov and P.R. Fraser have studied rotational and vibrational excited states of axially symmetric nuclei within the Bohr Hamiltonian with different mass parameters. However, the energy…

Nuclear Theory · Physics 2015-10-28 M. Chabab , A. Lahbas , M. Oulne

We suggest a new deformed Schioberg-type potential for diatomic molecules. We show that it is equivalent to Tietz-Hua oscillator potential. We discuss how to relate our deformed Schi\"oberg potential to Morse, to Deng-Fan , to the improved…

Mathematical Physics · Physics 2015-05-25 Omar Mustafa

It is shown that the equations for pressure, entropy and the isochoric heat capacity obtained by using generalization of the equilibrium thermodynamics in fractional derivatives in the paper mentioned above are approximate, the comparison…

Statistical Mechanics · Physics 2018-10-08 I. H. Umirzakov
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