# Modified Lennard-Jones model

The **modified Lennard-Jones model** is given by (Eq. 2 ^{[1]}):

where ,
and . These parametrs are chosen so that the function , as well as the first derivative, is continuous both at and .
These parameters have recently been recalculated with greater precision by Asano and Fuchizaki ^{[2]}, leading to
,
^{[3]},
and .

## Virial coefficients[edit]

The virial coefficients up to the seventh order have been calculated for the range of temperatures ^{[4]}. See also ^{[5]}.

## References[edit]

- ↑ Jeremy Q. Broughton and George H. Gilmer "Molecular dynamics investigation of the crystal–fluid interface. I. Bulk properties", Journal of Chemical Physics
**79**pp. 5095-5104 (1983) - ↑ Yuta Asano and Kazuhiro Fuchizaki "Phase diagram of the modified Lennard-Jones system", Journal of Chemical Physics
**137**174502 (2012) - ↑ Note: due to a typographical error in the original ms, in Table I appears to be positive.
- ↑ M. V. Ushcats "Modified Lennard-Jones model: Virial coefficients to the 7th order", Journal of Chemical Physics
**140**234309 (2014) - ↑ M. V. Ushcats "Communication: Low-temperature approximation of the virial series for the Lennard-Jones and modified Lennard-Jones models", Journal of Chemical Physics
**141**101103 (2014)