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.

Please report bugs, errors, suggestions to Andrew Schultz at ajs42@buffalo.edu.