Editing N-6 Lennard-Jones potential
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The '''n-6 Lennard-Jones potential''' is a variant the more well known [[Lennard-Jones model]] (or from a different point of view, a particular case of the [[Mie potential]]).. The potential is given by <ref>[http://dx.doi.org/10.1063/1.3253686 Alauddin Ahmed and Richard J. Sadus "Solid-liquid equilibria and triple points of n-6 Lennard-Jones fluids", Journal of Chemical Physics '''131''' 174504 (2009)]</ref>: | |||
The '''n-6 Lennard-Jones potential''' is a variant the more well known [[Lennard-Jones model]] (or from a different point of view, a particular case of the [[Mie potential]]). The potential is given by <ref>[http://dx.doi.org/10.1063/1.3253686 Alauddin Ahmed and Richard J. Sadus "Solid-liquid equilibria and triple points of n-6 Lennard-Jones fluids", Journal of Chemical Physics '''131''' 174504 (2009)]</ref>: | |||
:<math> \Phi_{12}(r) = \epsilon \left( \frac{n}{n-6} \right)\left( \frac{n}{6} \right)^{\frac{6}{n-6}} \left[ \left(\frac{\sigma}{r} \right)^{n}- \left( \frac{\sigma}{r}\right)^6 \right] </math> | :<math> \Phi_{12}(r) = \epsilon \left( \frac{n}{n-6} \right)\left( \frac{n}{6} \right)^{\frac{6}{n-6}} \left[ \left(\frac{\sigma}{r} \right)^{n}- \left( \frac{\sigma}{r}\right)^6 \right] </math> | ||
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where | where | ||
* <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math> | * <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math> | ||
* <math> \Phi_{12}(r) </math> is the [[intermolecular pair potential]] between two particles | * <math> \Phi_{12}(r) </math> is the [[intermolecular pair potential]] between two particles or ''sites'' | ||
* <math> \sigma </math> is the diameter (length), ''i.e.'' the value of <math>r</math> at which <math> \Phi_{12}(r)=0</math> | * <math> \sigma </math> is the diameter (length), ''i.e.'' the value of <math>r</math> at which <math> \Phi_{12}(r)=0</math> | ||
* <math> \epsilon </math> is the well depth (energy) | * <math> \epsilon </math> is the well depth (energy) | ||
==References== | ==References== | ||
<references/> | <references/> | ||
[[category: models]] | [[category: models]] |