The Compressibility of Gaseous Xenon. II. The Virial Coefficients and Potential Parameters of Xenon

Abstract

The second and third virial coefficients of xenon have been determined from our compressibility measurements over the temperature range 16.65° (the critical temperature) to 300°C. They are listed in Table II. The parameters of the Lennard‐Jones (6, 12) potential for xenon are μ=5.583×10⁻⁵⁸ erg‐cm⁶, λ=2.514×10⁻¹⁰² erg‐cm¹², ε=309.9×10⁻¹⁶ erg, b₀=84.65 cm³ per mole, θ=224.5°K, σ=4.064×10⁻⁸ cm, r₀=4.561×10⁻⁸ cm. The representation of the second virial coefficient is quite satisfactory. The third virial coefficients agree moderately well with the theoretical values for the Lennard‐Jones (6, 12) potential tabulated by Bird, Spotz, and Hirschfelder for (T/θ)>1.5 but diverge rapidly as the temperature approaches the critical. The observed second virial coefficients agree moderately well with the values tabulated by Buckingham and Corner for an inverse sixth power attractive and an exponential repulsive potential when the calculated values are read from the table for the parameters given by Kane from data on the solid state of xenon and from Born and Mayer's value of the exponent derived for neon.