9-3 Lennard-Jones potential: Difference between revisions
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[EN CONSTRUCCION] | |||
== Functional form == | == Functional form == | ||
The 9-3 Lennard-Jones potential is related to the [[Lennard-Jones model|standard Lennard-Jones potential]]. | The 9-3 Lennard-Jones potential is related to the [[Lennard-Jones model|standard Lennard-Jones potential]]. | ||
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\left( \frac{ \sigma }{r} \right)^3 \right]. | \left( \frac{ \sigma }{r} \right)^3 \right]. | ||
</math> | </math> | ||
The minimum value of <math> V(r) </math> is obtained at <math> r = r_{min} </math>, with | |||
* <math> V \left( r_{min} \right) = - \epsilon </math>, | |||
* <math> \frac{ r_{min} }{\sigma} = 3^{1/6} </math> | |||
== Applications == | == Applications == | ||
Revision as of 12:45, 23 March 2007
[EN CONSTRUCCION]
Functional form
The 9-3 Lennard-Jones potential is related to the standard Lennard-Jones potential.
It takes the form:
- 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 V(r) = \frac{ 3 \sqrt{3}}{ 2} \epsilon \left[ \left( \frac{\sigma}{r} \right)^9 - \left( \frac{ \sigma }{r} \right)^3 \right]. }
The minimum value of 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 V(r) } is obtained at 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 = r_{min} } , with
- 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 V \left( r_{min} \right) = - \epsilon } ,
- 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 \frac{ r_{min} }{\sigma} = 3^{1/6} }
Applications
It is commonly used to model the interaction between the particles of a fluid with a flat structureless solid wall.