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      https://www.ias.ac.in/article/fulltext/pram/095/0098

    • Keywords

       

      Anharmonic Eckart potential; asymptotic iteration method; Euler MacLaurin formula; Schrödinger equation; thermal properties

    • Abstract

       

      By employing the asymptotic iteration method (AIM), we solved the three-dimensional time-independent Schrödinger equation with the anharmonic Eckart potential model. The expression for the eigensolution of the anharmonic Eckart potential was obtained. With the help of the ro-vibrational energy spectra obtained, we derived the expressions for the ro-vibrational partition function and other thermodynamic functions, via the Euler MacLaurin formula. Effects of temperature and upper bound vibration quantum number on the thermodynamic functions of anharmonic Eckart potential were discussed for some diatomic molecular systems. It has been established that unique critical temperatures of ro-vibrational entropy and ro-vibrational specific heat capacity exist for the selected diatomic molecules.

    • Author Affiliations

       

      G T OSOBONYE1 2 M ADEKANMBI2 A N IKOT3 4 U S OKORIE4 5 G J RAMPHO3

      1. Department of Physics, Federal College of Education (Technical), Omoku, Rivers State, Nigeria
      2. Department of Physics, Ignatius Ajuru University of Education, Rumuolumeni, Rivers State, Nigeria
      3. Department of Physics, University of South Africa, Florida, Johannesburg 1710, South Africa
      4. Theoretical Physics Group, Department of Physics, University of Port Harcourt, P. M. B. 5323, Choba, Nigeria
      5. Department of Physics, Akwa Ibom State University, Ikot Akpaden, P. M. B. 1167, Uyo, Nigeria
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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