Second virial coefficient for the exponent--spline-Morse-spline-van der
Waals potential and its application
An analytical expression for the second virial coefficient based on an
exponent-spline-Morse-spline-van der Waals (ESMSV) potential is
presented here for use in defining the thermodynamic properties of rare
gases. Our method is established based on a series expansion of the
exponential function, Meijer function, gamma function, binomial
function, and hypergeometric function. Numerical approaches have
commonly been used for the evaluation of the second virial coefficient
with the ESMSV potential in the literature. The general formula obtained
here can be applied to estimate the thermal properties of rare gases.
Our results for the second virial coefficient based on the ESMSV
potential of He-He, He-Ne, He-Ar, and He-Xe rare gases are compared with
numerical calculations and experimental data, and it is shown that our
analytical expression can be successfully used for other gases.