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{{Stub-general}}
{{Stub-general}}
The '''Hemmer and Stell model''' [[intermolecular pair potential]], <math>\Phi_{12}(r)</math>, is given by  (Ref. 1 Eq. 2, Ref. 2 Eq. 1-3):
The '''Hemmer and Stell model''' [[intermolecular pair potential]], <math>\Phi(r)</math>, is given by  (Ref. 1 Eq. 2, Ref. 2 Eq. 1-3):


:<math>\Phi_{12}(r) = \Phi_{12}(r)_{\mathrm {repulsive}} + \Phi_{12}(r)_{\mathrm{attractive}}</math>
:<math>\Phi(r) = \Phi(r)_{\mathrm {repulsive}} + \Phi(r)_{\mathrm{attractive}}</math>


where a short range piece-wise potential
where a short range piece-wise potential
:<math>
:<math>
\Phi_{12}(r)_{\mathrm {repulsive}} = \left\{  
\Phi(r)_{\mathrm {repulsive}} = \left\{  
\begin{array}{ll}
\begin{array}{ll}
\infty & {\rm if} \; r < d \\
\infty & {\rm if} \; r < d \\
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\end{array} \right.
\end{array} \right.
</math>
</math>
where <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math>, <math>d</math> is the hard core radius, along with a long-range attractive potential;
where <math>d</math> is the hard core radius, along with a long-range attractive potential;


:<math>\Phi_{12}(r)_{\mathrm{attractive}} = -a\gamma \exp (-\gamma r)</math>
:<math>\Phi(r)_{\mathrm{attractive}} = -a\gamma \exp (-\gamma r)</math>


where <math>a</math> is a positive constant.
where <math>a</math> is a positive constant.
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