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]


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

The location of the potential minimum is given by

 r_{min} = \left( \frac{n}{m} \sigma^{n-m} \right) ^ {1/(n-m)}

(14,7) model[edit]

[2] [3]

Second virial coefficient[edit]

The second virial coefficient [4] [5] [6] and the Vliegenthart–Lekkerkerker relation [7].


Related reading