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>:

:<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>

where
* <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math>
* <math> \Phi_{12}(r) </math> is the [[intermolecular pair potential]] between two particles, "1" and "2".
* <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)
==Melting point==
An approximate method to locate the melting point is given in <ref>[http://dx.doi.org/10.1063/1.3552948  Sergey A. Khrapak, Manis Chaudhuri, and Gregor E. Morfill "Freezing of Lennard-Jones-type fluids", Journal of Chemical Physics '''134''' 054120 (2011)]</ref>. See also <ref>[http://dx.doi.org/10.1063/1.4707746 J. M. G. Sousa, A. L. Ferreira, and M. A. Barroso  "Determination of the solid-fluid coexistence of the n − 6 Lennard-Jones system from free energy calculations", Journal of Chemical Physics '''136''' 174502 (2012)]</ref>.
==Shear viscosity==
<ref>[http://dx.doi.org/10.1063/1.4919296  Stephanie Delage-Santacreu, Guillaume Galliero, Hai Hoang, Jean-Patrick Bazile, Christian Boned and Josefa Fernandez "Thermodynamic scaling of the shear viscosity of Mie n-6 fluids and their binary mixtures", Journal of Chemical Physics '''142''' 174501 (2015)]</ref>
==References==
<references/>
;Related reading
*[http://dx.doi.org/10.1063/1.3627148 Zane Shi, Pablo G. Debenedetti, Frank H. Stillinger, and Paul Ginart "Structure, dynamics, and thermodynamics of a family of potentials with tunable softness", Journal of Chemical Physics '''135''' 084513 (2011)]
*[http://dx.doi.org/10.1063/1.4930138  Jason R. Mick, Mohammad Soroush Barhaghi, Brock Jackman, Kamel Rushaidat, Loren Schwiebert and Jeffrey J. Potoff "Optimized Mie potentials for phase equilibria: Application to noble gases and their mixtures with n-alkanes", Journal of Chemical Physics '''143''' 114504 (2015)]
*[https://doi.org/10.1063/1.5039504  Richard A. Messerly, Michael R. Shirts, and Andrei F. Kazakov "Uncertainty quantification confirms unreliable extrapolation toward high pressures for united-atom Mie λ-6 force field", Journal of Chemical Physics '''149''' 114109 (2018)]

[[category: models]]