Equivalence of the Wei potential model and Tietz potential model for diatomic molecules

2012 ◽  
Vol 137 (1) ◽  
pp. 014101 ◽  
Author(s):  
Chun-Sheng Jia ◽  
Yong-Feng Diao ◽  
Xiang-Jun Liu ◽  
Ping-Quan Wang ◽  
Jian-Yi Liu ◽  
...  
Keyword(s):  
Potential Model ◽  
Diatomic Molecules ◽  
Tietz Potential

Relationship of the deformed hyperbolic Kratzer-like and Tietz potential energy models for diatomic molecules

2014 ◽  
Vol 92 (10) ◽  
pp. 1258-1261 ◽  
Author(s):  
Chun-Sheng Jia ◽  
Liang-Zhong Yi ◽  
Shi-Wen Long
Keyword(s):  
Potential Energy ◽  
Potential Model ◽  
Potential Energy Curve ◽  
Diatomic Molecules ◽  
Energy Curve ◽  
Equilibrium Bond Length ◽  
Energy Models ◽  
Interaction Potential Energy ◽  
Tietz Potential ◽  
Relationship Of

Taking the dissociation energy and the equilibrium bond length as explicit parameters, we construct an improved form of the deformed hyperbolic Kratzer-like potential function for diatomic molecules. We show that the deformed hyperbolic Kratzer-like potential model is equivalent to the Tietz potential model for diatomic molecules. We observe that the Tietz potential is superior to the Morse potential in reproducing the interaction potential energy curve for the 23Πg state of the 7Li2 molecule.

scholarly journals Exact and Poisson summation thermodynamic properties for diatomic molecules with shifted Tietz potential

2019 ◽  
Vol 93 (9) ◽  
pp. 1171-1179 ◽  
Author(s):  
A. N. Ikot ◽  
W. Azogor ◽  
U. S. Okorie ◽  
F. E. Bazuaye ◽  
M. C. Onjeaju ◽  
...  
Keyword(s):  
Thermodynamic Properties ◽  
Diatomic Molecules ◽  
Tietz Potential ◽  
Poisson Summation

Diatomic molecules energy spectra for the generalized Mobius square potential model

2020 ◽  
Vol 34 (21) ◽  
pp. 2050209
Author(s):  
U. S. Okorie ◽  
A. N. Ikot ◽  
M. U. Ibezim-Ezeani ◽  
Hewa Y. Abdullah
Keyword(s):  
Dissociation Energy ◽  
Approximation Scheme ◽  
Potential Model ◽  
Vibrational Energy ◽  
Diatomic Molecules ◽  
Energy Spectra ◽  
Equilibrium Bond Length ◽  
Quantum Numbers ◽  
Vibrational Energies ◽  
Potential Parameters

The modified version of the generalized Mobius square (GMS) potential has been obtained by employing the dissociation energy and equilibrium bond length as explicit parameters. The potential parameters have been defined in terms of the molecular parameters. The modified GMS potential has also been used to model internuclear interaction potential curves for different states of diatomic molecules. Also, we have obtained the rotational–vibrational energy spectra of the new GMS potential model, both analytically and numerically for the different diatomic molecules. This was done by employing a Pekeris-type approximation scheme and an appropriate coordinate transformation to solve the Schrodinger equation. Our results have been compared with the experimental Rydberg–Klein–Rees (RKR) data and its corresponding average absolute deviations in terms of the dissociation energy computed. The effects of the vibrational and rotational quantum numbers on the rotational–vibrational energies for the different states of the various diatomic molecules have also been discussed. This paper has shown to be highly relevant to the studies of thermodynamic and thermochemical functions of diatomic molecules.

Equivalence of the Sun and Tietz potential models for diatomic molecules

2013 ◽  
Vol 1020 ◽  
pp. 170-172 ◽  
Author(s):  
Guang-Chuan Liang ◽  
Hong-Ming Tang ◽  
Chun-Sheng Jia
Keyword(s):  
Diatomic Molecules ◽  
The Sun ◽  
Potential Models ◽  
Tietz Potential

scholarly journals Superstatistics of Diatomic Molecules with the Shifted Deng-Fan Potential Model

2021 ◽  
Vol 12 (3) ◽  
pp. 4126-4139
Keyword(s):  
Partition Function ◽  
Short Range ◽  
Deformation Parameter ◽  
Potential Model ◽  
Diatomic Molecules ◽  
Thermal Fluctuations ◽  
Boltzmann Factor ◽  
Molecular Systems ◽  
Dirac Delta ◽  
Delta Distribution

In this article, we discuss the thermodynamic properties of the shifted Deng-Fan potential for HCl, CrH, CuLi, and ScF diatomic molecules using the q-deformed superstatistics approach. The partition function is obtained with the help of the generalized Boltzmann factor from the modified Dirac delta distribution. In addition, thermodynamic functions such as entropy, specific heat capacity, free energy, and mean energy are obtained using the partition function. Our results are presented graphically, and the ordinary statistical quantities are recovered when the deformation parameter tends to zero. Our results may be useful in the study of thermal fluctuations in atomic and molecular systems involving short-range interactions.

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