Molar enthalpy and heat capacity for symmetric trigonometric Rosen-Morse plus Pὂschl-Teller potential

Some potential models are only studied for open systems even though applied to certain models, the theoretical value cannot be justified by the observed data, such potential model includes the symmetric trigonometric Rosen-Morse potential and some certain types of Pὂschl-Teller potential. Their inab...

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Main Authors: C.A. Onate, J.A. Akinpelu, O.O. Ajani, B.B. Deji-Jinadu, F.O. Aweda, J.B. Fashae, O.O. Jegede
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:South African Journal of Chemical Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S1026918524001227
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author C.A. Onate
J.A. Akinpelu
O.O. Ajani
B.B. Deji-Jinadu
F.O. Aweda
J.B. Fashae
O.O. Jegede
author_facet C.A. Onate
J.A. Akinpelu
O.O. Ajani
B.B. Deji-Jinadu
F.O. Aweda
J.B. Fashae
O.O. Jegede
author_sort C.A. Onate
collection DOAJ
description Some potential models are only studied for open systems even though applied to certain models, the theoretical value cannot be justified by the observed data, such potential model includes the symmetric trigonometric Rosen-Morse potential and some certain types of Pὂschl-Teller potential. Their inability to reproduce the observed data is due to the potential parameters that lack physical meanings. To make these types of potentials more useful and interesting, the present study combined the symmetric trigonometric Rosen-Morse potential and a type of Pὂschl-Teller potential and transformed the potential parameters to spectroscopic parameters to suit molecular study. The energy of the modified potential is applied to the study of some thermodynamic properties (enthalpy and heat capacity at constant pressure) for some molecules. The numerical results of the various thermodynamic properties of the modified potential reproduced experimental data for some molecules for the four molecules studied. The predicted results for each of the four molecules has average percentage deviation of less than one percent justifying an excellent agreement with the experimental data.
format Article
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institution Kabale University
issn 1026-9185
language English
publishDate 2025-01-01
publisher Elsevier
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series South African Journal of Chemical Engineering
spelling doaj-art-e7fac96eb5cd41c7b90f39a5ba89bd562025-01-19T06:24:14ZengElsevierSouth African Journal of Chemical Engineering1026-91852025-01-01511521Molar enthalpy and heat capacity for symmetric trigonometric Rosen-Morse plus Pὂschl-Teller potentialC.A. Onate0J.A. Akinpelu1O.O. Ajani2B.B. Deji-Jinadu3F.O. Aweda4J.B. Fashae5O.O. Jegede6Corresponding author.; Physics Department, College of Agriculture, Engineering and Sciences, Bowen University, Iwo, Osun State NigeriaPhysics Department, College of Agriculture, Engineering and Sciences, Bowen University, Iwo, Osun State NigeriaPhysics Department, College of Agriculture, Engineering and Sciences, Bowen University, Iwo, Osun State NigeriaPhysics Department, College of Agriculture, Engineering and Sciences, Bowen University, Iwo, Osun State NigeriaPhysics Department, College of Agriculture, Engineering and Sciences, Bowen University, Iwo, Osun State NigeriaPhysics Department, College of Agriculture, Engineering and Sciences, Bowen University, Iwo, Osun State NigeriaPhysics Department, College of Agriculture, Engineering and Sciences, Bowen University, Iwo, Osun State NigeriaSome potential models are only studied for open systems even though applied to certain models, the theoretical value cannot be justified by the observed data, such potential model includes the symmetric trigonometric Rosen-Morse potential and some certain types of Pὂschl-Teller potential. Their inability to reproduce the observed data is due to the potential parameters that lack physical meanings. To make these types of potentials more useful and interesting, the present study combined the symmetric trigonometric Rosen-Morse potential and a type of Pὂschl-Teller potential and transformed the potential parameters to spectroscopic parameters to suit molecular study. The energy of the modified potential is applied to the study of some thermodynamic properties (enthalpy and heat capacity at constant pressure) for some molecules. The numerical results of the various thermodynamic properties of the modified potential reproduced experimental data for some molecules for the four molecules studied. The predicted results for each of the four molecules has average percentage deviation of less than one percent justifying an excellent agreement with the experimental data.http://www.sciencedirect.com/science/article/pii/S1026918524001227Bound stateEigensolutionsWave equationSchrodinger equationEigenvaluesThermodynamic properties
spellingShingle C.A. Onate
J.A. Akinpelu
O.O. Ajani
B.B. Deji-Jinadu
F.O. Aweda
J.B. Fashae
O.O. Jegede
Molar enthalpy and heat capacity for symmetric trigonometric Rosen-Morse plus Pὂschl-Teller potential
South African Journal of Chemical Engineering
Bound state
Eigensolutions
Wave equation
Schrodinger equation
Eigenvalues
Thermodynamic properties
title Molar enthalpy and heat capacity for symmetric trigonometric Rosen-Morse plus Pὂschl-Teller potential
title_full Molar enthalpy and heat capacity for symmetric trigonometric Rosen-Morse plus Pὂschl-Teller potential
title_fullStr Molar enthalpy and heat capacity for symmetric trigonometric Rosen-Morse plus Pὂschl-Teller potential
title_full_unstemmed Molar enthalpy and heat capacity for symmetric trigonometric Rosen-Morse plus Pὂschl-Teller potential
title_short Molar enthalpy and heat capacity for symmetric trigonometric Rosen-Morse plus Pὂschl-Teller potential
title_sort molar enthalpy and heat capacity for symmetric trigonometric rosen morse plus pὂschl teller potential
topic Bound state
Eigensolutions
Wave equation
Schrodinger equation
Eigenvalues
Thermodynamic properties
url http://www.sciencedirect.com/science/article/pii/S1026918524001227
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