Virial Coefficients of Morse Potential

  • M. V. Ushcats Admiral Makarov National University of Shipbuilding
  • S. J. Ushcats Admiral Makarov National University of Shipbuilding
  • A. A. Mochalov Admiral Makarov National University of Shipbuilding
Keywords: Morse potential, virial coefficient, irreducible cluster integral, Mayer sampling


Using the numerical quadrature integration method and a modification of the Mayer sampling Monte Carlo technique proposed recently, the virial coefficients of the known three-parameter Morse potential have been calculated to the seventh order inclusive for potential parameter, aD, values of 3.0, 4.0, 6.0, 8.0, and 10.0. At low temperatures, a certain regularity in the behavior of the virial coefficients of all orders (beginning from the third one) is revealed for various aD-values. This regularity can be approximated by an equation similar to that previously obtained for the Lennard-Jones (12–6) and modified Lennard-Jones models.


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How to Cite
Ushcats, M., Ushcats, S., & Mochalov, A. (2019). Virial Coefficients of Morse Potential. Ukrainian Journal of Physics, 61(2), 160.
General problems of theoretical physics