Alternate expressions for the second virial coefficient of a gas having a Lennard-Jones 6–9 potential are derived to cover the temperature range where the known power series expansion in θ=ε/kT is inconvenient for numerical computations. For θ≥2 the second virial coefficient can be expressed as a combination of Bessel functions of imaginary argument plus a small correction term. This formulation and an asymptotic expression derived from it are used to tabulate numerical values of the second virial coefficient in the range 2≤θ≤100.
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Roe et al. (1952) studied this question.
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