# 8-6 Lennard-Jones potential

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The 8-6 Lennard-Jones potential (also known as the 6-8 potential) is a variant the more well known Lennard-Jones model. It is particularly useful for computing non-bonded interactions. The potential is given by (Eq. 4 in[1]):

$\Phi_{12}(r) = \epsilon \left[ 3\left(\frac{r_m}{r} \right)^{8} - 4\left( \frac{r_m}{r}\right)^6 \right]$

where

• $r := |\mathbf{r}_1 - \mathbf{r}_2|$
• $\Phi_{12}(r)$ is the intermolecular pair potential between two particles or sites
• $r_m$ is the distance, $r$, at which $\Phi_{12}(r)$ is a minimum.
• $\epsilon$ is the well depth (energy)