The pages below compute virial coefficients for simple spherical models:

- B2 compute B
_{2}using quadrature or a series expansion. - B3 compute B
_{3}using fast Fourier transforms (FFT). - Compute any order coefficient using Mayer-Sampling Monte Carlo.

- J. K. Singh, D. A. Kofke, "Mayer sampling: Calculation of cluster integrals using free-energy perturbation methods", Phys. Rev. Lett. 92, 220601 (2004).
- K. M. Benjamin, J. K. Singh, A. J. Schultz, D. A. Kofke, "Higher-order virial coefficients of water models", J. Phys. Chem. B 111, 11463-11473 (2007).
- R. J. Masters "Virial Expansions", J. Phys.: Condens. Matter 20 283102 (2008).
- A. J. Schultz, D. A. Kofke, "Sixth, seventh and eighth virial coefficients of the Lennard-Jones model", Mol. Phys. 107, 2309-2318 (2009).
- R. J. Wheatley, "Calculation of High-Order Virial Coefficients with Applications to Hard and Soft Spheres", Phys. Rev. Lett. 110, 200601 (2013).
- R. J. Wheatley, A. J. Schultz, H. N. Do, N. Gokul, D. A. Kofke, "Cluster integrals and virial coefficients for realistic molecular models", Phys. Rev. E 101, 051301 (2020).

_{n} at a single temperatrue with varying accuracy) the work is split into smaller pieces (a short run of steps for MSMC) and control is returned to the browser after each piece.