Sutherland potential

The Sutherland potential is given by

$\Phi \left(r\right)=\left\{{\begin{array}{lll}\infty &;&r\leq \sigma \\-\epsilon \left({\frac {\sigma }{r}}\right)^{\gamma }&;&r>\sigma \end{array}}\right.$

where $\Phi \left(r\right)$ is the intermolecular pair potential, $r$ is the distance, $\sigma$ is the hard diameter, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \epsilon } is the energy well depth (Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \epsilon > 0 } ), and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \gamma } is a parameter that controls the interaction range.

References

1. D. Levi and M. de Llano "Closed form of second virial coefficient for Sutherland potential", Journal of Chemical Physics 63 pp. 4561-4562 (1975)
2. A. Díez, J. Largo and J. R. Solana "Structure and thermodynamic properties of Sutherland fluids from computer simulation and the Tang–Lu integral equation theory", Fluid Phase Equilibria 253 pp. 67-73 (2007)
3. Jianguo Mi, Yiping Tang, and Chongli Zhong "Theoretical study of Sutherland fluids with long-range, short-range, and highly short-range potential parameters", Journal of Chemical Physics 128 054503 (2008)