Sutherland potential: Difference between revisions
Carl McBride (talk | contribs) (New page: The '''Sutherland potential''' is given by :<math> \Phi\left( r \right) = \left\{ \begin{array}{lll} \infty & ; & r \leq \sigma \\ - \left( \frac{ \epsilon \sigma }{r}\right)^{\gamma} & ...) |
Carl McBride (talk | contribs) mNo edit summary |
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\left\{ \begin{array}{lll} | \left\{ \begin{array}{lll} | ||
\infty & ; & r \leq \sigma \\ | \infty & ; & r \leq \sigma \\ | ||
- \left( \frac{ | - \epsilon\left( \frac{ \sigma }{r}\right)^{\gamma} & ; & r > \sigma | ||
\end{array} \right. | \end{array} \right. | ||
</math> | </math> | ||
Revision as of 11:22, 8 February 2008
The Sutherland potential is given by
- 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 \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 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 \Phi\left( r \right) } is the intermolecular pair potential, 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 r } is the distance, 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 \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
- D. Levi and M. de Llano "Closed form of second virial coefficient for Sutherland potential", Journal of Chemical Physics 63 pp. 4561-4562 (1975)
- 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)
- 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)