9-3 Lennard-Jones potential

[EN CONSTRUCCION]

Functional form

The 9-3 Lennard-Jones potential is related to the standard Lennard-Jones potential.

It takes the form:

$V(r)={\frac {3{\sqrt {3}}}{2}}\epsilon \left[\left({\frac {\sigma }{r}}\right)^{9}-\left({\frac {\sigma }{r}}\right)^{3}\right].$

The minimum value of $V(r)$ is obtained at $r=r_{min}$, with

• $V\left(r_{min}\right)=-\epsilon$,

• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\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.