COMPUTING ENERGY FLUCTUATIONS IN DIATOMIC MOLECULES THROUGH THERMODYNAMIC PROPERTIES USING THE PARTITION FUNCTION APPROACH

Authors

  • P.J. Manga Department of Physics, University of Maiduguri, Borno State,
  • R.O. Amusat Department of Physics, University of Maiduguri, Borno State,
  • P.B. Teru Department of Physics, University of Maiduguri, Borno State,
  • Samaila H. Department of Physics, University of Maiduguri, Borno State,
  • E.W. Likta Department of Physics, University of Maiduguri, Borno State,
  • Amina A. Dibal Department of Physics, University of Maiduguri, Borno State,
  • M.N. Yahaya Department of Physics with Electronics, Federal University Birnin Kebbi, Kebbi State,
  • Ngari A.Z. Department of Physics, Nigeria Army University, Biu, Borno State,
  • Omolara Victoria Oyelade Department of Physics, Bingham University, Karu, Nasarawa State,
  • S.D. Buteh Department of Chemistry, Adamu Tafawa Balewa College of Education, Kangire, Bauchi ,
  • N.S. Gin Department of Chemistry, Federal University of Gashua, Yobe State,
  • Sheik Ubale Abdu Department of Fine and Applied Art, Aminu Saleh College of Education, Azare, Bauchi State,
  • Sabo Isyaku Department of Physics, Federal University Dutse, Jigawa State,

Abstract

ABSTRACT

This study presents a numerical and computational investigation into the energy fluctuations of three diatomic molecules—carbon monoxide (CO), hydrogen (H₂), and scandium hydride (ScH)—under a varying temperature parameter β based on two – dimension Schrödinger equation governed by Nikiforov – Uvarov Functional Analysis (NUFA) approach under the influence of magnetic field and magnetic flux. The numerical analysis indicates that when no external magnetic field is applied  and , the energy spectrum experiences a slight increase. However, a higher energy spectrum is observed when an external field is introduced at  and. Examining the individual effects reveals that  and   have a somewhat stronger impact on the energy spectrum compared to  and  has a limited effect on the overall energy spectrum. Additionally, it was numerically demonstrated that the energy levels remain consistent across three diatomic molecules, regardless of changes in the magnetic quantum number. Furthermore, shifts were noted in orbitals (s, p, d, f), which are uniformly affected by external variables. The values of these orbitals decrease as the orbital quantum number (n) increases, following the expected sequence: s > p > d > f.

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Published

2025-07-12

Issue

Vol. 20 No. 2 (2025)

Section

ARTICLES

License

Copyright (c) 2025 Science World Journal

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