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Onyeaju MC, Omugbe E, Onate CA, Okon IB, Eyube ES, Okorie US, Ikot AN, Ogwu DA, Osuhor PO. Information theory and thermodynamic properties of diatomic molecules using molecular potential. J Mol Model 2023; 29:311. [PMID: 37698769 DOI: 10.1007/s00894-023-05708-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/25/2023] [Accepted: 08/25/2023] [Indexed: 09/13/2023]
Abstract
Owing to the devise applications of molecules in industries, the bound state solution of the non-relativistic wave equation with a molecular potential function has been obtained in a closed-form using the Nikiforov-Uvarov method. The solutions of the bound state are then applied to study the information-theoretic measures such as the one-dimensional Shannon and Renyi entropic densities. The expectation values for the position and momentum spaces were obtained to verify the Heisenberg's uncertainty principle. Utilizing the energy spectrum equation, the thermodynamic vibrational partition function is obtained via the Poisson summation. Other thermodynamic function variations with absolute temperature have been obtained numerically for four diatomic molecules (H2, N2, O2, and HF) using Maple 18 software. The Shannon global entropic sum inequality has also been verified. The Renyi sum for constrained index parameters satisfies the global entropic inequality. The thermodynamic properties of the four molecules are similar and conform to works reported in the existing literature. The obtained vibrational energies are in fair agreement with the ones obtained using other forms of potential energy. The result further indicates that the lowest bounds for the Shannon, Renyi, and Heisenberg inequalities are ground states phenomena.
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Affiliation(s)
- M C Onyeaju
- Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Rivers State, Nigeria.
- Department of Physics, Faculty of Basic and Applied Science, University of Africa, Toru-Orua, Bayelsa State, Nigeria.
| | - E Omugbe
- Department of Physics, University of Agriculture and Environmental Sciences, P.M.B. 1038, Umuagwo, Imo State, Nigeria
| | - C A Onate
- Department of Physics, Kogi State University, Anyigba, Kogi State, Nigeria
| | - I B Okon
- Theoretical Physics Group, Department of Physics, University of Uyo, Uyo, Nigeria
| | - E S Eyube
- Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria
| | - U S Okorie
- Department of Physics, Akwa Ibom State University, P.M.B 1167, Ikot AkpodenUyo, Nigeria
| | - A N Ikot
- Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Rivers State, Nigeria
| | - D A Ogwu
- Department of Physics, Faculty of Science, University of Delta, Agbor, Delta State, Nigeria
| | - P O Osuhor
- Department of Physics, Faculty of Science, University of Delta, Agbor, Delta State, Nigeria
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Onate C, Okon I, Vincent U, Eyube E, Omugbe E. Pure-vibrational spectrum of diatomic molecules using an improved Pöschl-Teller potential. Chem Phys 2022. [DOI: 10.1016/j.chemphys.2022.111770] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Okorie US, Ikot AN, Rampho GJ, Onyeaju MC, Ibezim-Ezeani MU, Abdel-Aty AH, Ramantswana M. Bound and scattering states of the Klein-Gordon equation for shifted Tietz-Wei potential with applications to diatomic molecules. Mol Phys 2021. [DOI: 10.1080/00268976.2021.1922773] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Uduakobong S. Okorie
- Department of Physics, Akwa Ibom State University, Uyo, Nigeria
- Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, Nigeria
| | - Akpan N. Ikot
- Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, Nigeria
- Department of Physics, University of South Africa, Johannesburg, South Africa
| | - Goatsiwe J. Rampho
- Department of Physics, University of South Africa, Johannesburg, South Africa
| | - Michael C. Onyeaju
- Department of Physics, Theoretical Physics Group, University of Port Harcourt, Choba, Nigeria
| | | | - Abdel-Haleem Abdel-Aty
- Department of Physics, College of Sciences, University of Bisha, Bisha, Saudi Arabia
- Faculty of Science, Physics Department, Al-Azhar University, Assiut, Egypt
| | - M. Ramantswana
- Department of Physics, University of South Africa, Johannesburg, South Africa
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