# 9-3 Lennard-Jones potential

The **9-3 Lennard-Jones potential** is related to the Lennard-Jones potential.
It has the following form:

where is the intermolecular pair potential and . The minimum value of is obtained at , with

- ,

## Applications[edit]

It is commonly used to model the interaction between the particles
of a fluid with a flat structureless solid wall or *vice versa* (Ref. 1).

## Interaction between a solid and a fluid molecule[edit]

Let us consider the space divided in two regions:

- : this region is occupied by a
*diffuse*solid with density composed of 12-6 Lennard-Jones atoms

with parameters and

Our aim is to compute the total interaction between this solid and a molecule located at a position . Such an interaction can be computed using cylindrical coordinates.

The interaction will be: