Editing M-6-8 potential function

The '''m-6-8 potential function''' <ref>[http://dx.doi.org/10.1063/1.1674009 Max Klein and H. J. M. Hanley "m–6–8 Potential Function", Journal of Chemical Physics '''53''' pp. 4722-4723 (1970)]</ref>  is given by (Eq. 1)

:<math>\Phi_{12}(r)  =  \frac{A}{r^m} - \frac{C_6}{r^6} -\frac{C_8}{r^8}</math>

where <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math>
and <math> \Phi_{12}(r) </math> is the [[intermolecular pair potential]] between two particles or ''sites''. 
<math>A</math> is the coefficient corresponding to the repulsive term, and <math>C_6</math> and <math>C_8</math> are the coefficients corresponding to the
attractive inverse sixth and eighth powers respectively. 

This expression can be rewritten in the reduced form (Eq. 2):

:<math>\Phi^*_{12}(r^*)  =  \left[ \frac{1}{m-6} \right]    \left[ 6+2\gamma \right] \left( \frac{1}{r^*}  \right)^m -   \left[ \frac{1}{m-6} \right]   \left[ m-\gamma(m-8)\right]\left( \frac{1}{r^*}  \right)^6  - \frac{\gamma}{r^{*8}}  </math>

where <math>\Phi^* = \Phi/\epsilon</math>, <math>r^* = r/r_m</math> and <math>\gamma = C_8/r_m^8</math>. <math>\epsilon</math> is the "well" depth, and <math>r_m</math> is the intermolecular separation at the maximum well depth. 

==References==
<references/>
;Related reading
*[http://dx.doi.org/10.1063/1.1677925  R. E. Caligaris and A. E. Rodriguez "On the m‐6–8 Potential Function", Journal of Chemical Physics '''56''' pp. 4715-4716 (1972)]
[[Category: Models]]