Thermal Properties of Diffusing Species into Some Host Metals

Authors

  • Akaezue Nelson Nwagbogwu

    University of Port Harcourt
    Author
  • Ngiangia Alalibor Thompson

    University of Port Harcourt
    Author
  • Onyeaju Michael Chukwudi

    University of Port Harcourt
    Author

Keywords:

Spherical coordinate;, host metals, partition function, Frobenius method

Abstract

The study rigorously explored the thermodynamic properties of diffusing species by solving the spherical coordinate equation using the Frobenius method. This mathematical approach enabled the derivation of the partition function and energy equation, which were crucial in determining key thermal properties, including Helmholtz free energy, entropy, internal energy, and heat capacity. It was observed that internal energy and entropy exhibited a strong dependence on temperature, reflecting the dynamic nature of diffusing species in varying thermal environments. The findings provide valuable insights into the behavior of entropy within the classical domain, with both analytical expressions and graphical representations used to illustrate these thermal properties comprehensively. The graphical analysis highlighted the temperature-dependent trends and the critical points where classical and quantum mechanical effects influence the thermodynamic behavior of the system, offering a deeper understanding of the underlying physics.

Author Biographies

  • Akaezue Nelson Nwagbogwu, University of Port Harcourt

    Department of physics, University of Port Harcourt, P.M.B 5323 Choba, Port Harcourt, Nigeria

  • Ngiangia Alalibor Thompson, University of Port Harcourt

    Department of physics, University of Port Harcourt, P.M.B 5323 Choba, Port Harcourt, Nigeria

  • Onyeaju Michael Chukwudi, University of Port Harcourt

    Department of physics, University of Port Harcourt, P.M.B 5323 Choba, Port Harcourt, Nigeria

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Published

2024-09-09

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