Finiteness effects for spherical boundary conditions: An illustrative calculation

The temperature derivative of the second virial coefficient is calculated with spherical boundary conditions for an ($m-n$) Mie potential, with even $n$. The formalism is valid for all potentials with $n$ even, regardless of their short-range form. The convergence of the considered quantity with diminishing curvature towards its Euclidean value is displayed and coefficients for a respective expansion are given.