Editing Lennard-Jones model
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==Vapor-liquid equilibrium== | ==Vapor-liquid equilibrium== | ||
The vapor-liquid equilibrium of the Lennard-Jones potential has been studied | The vapor-liquid equilibrium of the Lennard-Jones potential has been studied 45 times <ref name="Stephan2019">[https://doi.org/10.1021/acs.jcim.9b00620 Simon Stephan, Monika Thol, Jadran Vrabec, and Hans Hasse "Thermophysical Properties of the Lennard-Jones Fluid: Database and Data Assessment", Journal of Chemical Information and Modeling '''59, 10''' pp. 4248–4265 (2019)]</ref>. Several of these data sets were found to have gross deviations to an entity of data sets, which is both thermodynamically consistent and in good mutual agreement. The mutual agreement of these data sets was found to be approximately <math>\pm 1%</math> for the vapor pressure, <math>\pm 0.75%</math> for the enthalpy of vaporization, <math>\pm 0.2%</math> for the saturated liquid density, and <math>\pm 1%</math> for the saturated vapor density <ref name="Stephan2019">[https://doi.org/10.1021/acs.jcim.9b00620 Simon Stephan, Monika Thol, Jadran Vrabec, and Hans Hasse "Thermophysical Properties of the Lennard-Jones Fluid: Database and Data Assessment", Journal of Chemical Information and Modeling '''59, 10''' pp. 4248–4265 (2019)]</ref>. | ||
:<math>\ln p^s = n_1 T + \frac{n_2}{T} + \frac{n_3}{T^{n_4}} </math> with <math> n_i =[ 1.156551, -4.431519, -0.423028, 2.638743 ] </math> | |||
:<math>\Big(\frac{\rho'}{\rho_\mathrm{c}}\Big) = 1 + \sum_{i=1}^{5} n_i\, \Big(1 - \frac{T}{T_\mathrm{c}} \Big)^{t_i} </math> | |||
:<math>\ln \Big(\frac{\rho''}{\rho_\mathrm{c}}\Big) = \sum_{i=1}^{5} n_i\, \Big(1 - \frac{T}{T_\mathrm{c}} \Big)^{t_i} </math> | |||
:<math>\Delta h_v = \sum_{i=1}^{4} n_i\, (T_\mathrm{c} - T)^{t_i} </math> | |||
The numerical values of the parameters ni and $t_i$ are | |||
<math> {} </math> | |||
<math> {} </math> | |||
<math> {} </math> | |||
1 1.341700 0.327140 −8.135822 1.651685 6.456728 0.411342 | |||
2 2.075332 0.958759 −102.919110 43.469214 2.700099 0.460416 | |||
3 −2.123475 1.645654 −3.037979 0.462877 −3.073573 2.350953 | |||
4 0.328998 17.000001 −44.381841 11.500462 3.149052 5.017010 | |||
5 1.386131 2.400858 −34.55892948 5.394370 | |||
==Melting line== | ==Melting line== |