Mie potential

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The Mie potential was proposed by Gustav Mie in 1903 ^[1]. It is given by

$\Phi_{12}(r) = \left( \frac{n}{n-m}\right) \left( \frac{n}{m}\right)^{m/(n-m)} \epsilon \left[ \left(\frac{\sigma}{r} \right)^{n}- \left( \frac{\sigma}{r}\right)^m \right]$

where:

$r := |\mathbf{r}_1 - \mathbf{r}_2|$
$Φ 12 (r)$ is the intermolecular pair potential between two particles at a distance r;
$σ$ is the value of $r$ at $Φ(r) = 0$ ;
$ε$ : well depth (energy)

Note that when $n = 12$ and $m = 6$ this becomes the Lennard-Jones model.

[edit] (14,7) model

[edit] References

↑ Gustav Mie "Zur kinetischen Theorie der einatomigen Körper", Annalen der Physik 11 pp. 657-697 (1903) (check this reference)

Related reading

Pedro Orea, Yuri Reyes-Mercado, Yurko Duda "Some universal trends of the Mie(n,m) fluid thermodynamics", Physics Letters A 372 pp. 7024-7027 (2008)

[0] Gustav Mie "Zur kinetischen Theorie der einatomigen Körper", Annalen der Physik 11 pp. 657-697 (1903) (check this reference)

[1]

Mie potential

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[edit] (14,7) model

[edit] References

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