Square well model: Difference between revisions
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</math> | </math> | ||
where <math>\Phi(r)</math> is the [[intermolecular pair potential]], r is the distance, σ is the hard diameter | where <math>\Phi(r)</math> is the [[intermolecular pair potential]], <math>\epsilon</math> is the well depth, <math>r</math> is the distance, σ is the hard diameter | ||
and λ > 1. | and λ > 1. | ||
==Equation of state== | ==Equation of state== | ||
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:''Main article: [[Square well potential: virial coefficients]]'' | :''Main article: [[Square well potential: virial coefficients]]'' | ||
==Critical point== | ==Critical point== | ||
#[http://dx.doi.org/10.1063/1.1677949 John J. Kozak, I. B. Schrodt and K. D. Luks "Square-Well Potential. II. Some Comments on Critical Point Behavior and Scaling Laws", Journal of Chemical Physics '''57''' pp. 206- (1972)] | |||
==References== | ==References== | ||
#[http://dx.doi.org/10.1063/1.1712308 J. A. Barker and D. Henderson "Perturbation Theory and Equation of State for Fluids: The Square-Well Potential", Journal of Chemical Physics '''47''' pp. 2856-2861 (1967)] | #[http://dx.doi.org/10.1063/1.1712308 J. A. Barker and D. Henderson "Perturbation Theory and Equation of State for Fluids: The Square-Well Potential", Journal of Chemical Physics '''47''' pp. 2856-2861 (1967)] | ||
#[http://dx.doi.org/10.1002/9780470142561.ch4 Kraemer D. Luks and John J. Kozak "The Statistical Mechanics of Square-Well Fluids", Advances in Chemical Physics '''37''' chapter 4 pp. 139-201 (1978)] | |||
#[http://dx.doi.org/10.1063/1.2137713 Elisabeth Schöll-Paschinger, Ana Laura Benavides and Ramon Castañeda-Priego "Vapor-liquid equilibrium and critical behavior of the square-well fluid of variable range: A theoretical study", Journal of Chemical Physics '''123''' 234513 (2005)] | #[http://dx.doi.org/10.1063/1.2137713 Elisabeth Schöll-Paschinger, Ana Laura Benavides and Ramon Castañeda-Priego "Vapor-liquid equilibrium and critical behavior of the square-well fluid of variable range: A theoretical study", Journal of Chemical Physics '''123''' 234513 (2005)] | ||
#[http://dx.doi.org/10.1063/1.2338307 R. López-Rendón, Y. Reyes and P. Orea "Thermodynamic properties of short-range square well fluid", Journal of Chemical Physics '''125''' 084508 (2006)] | #[http://dx.doi.org/10.1063/1.2338307 R. López-Rendón, Y. Reyes and P. Orea "Thermodynamic properties of short-range square well fluid", Journal of Chemical Physics '''125''' 084508 (2006)] | ||
[[Category: Models]] | [[Category: Models]] |
Revision as of 14:31, 19 February 2008
The Square well model is given by
where is the intermolecular pair potential, is the well depth, is the distance, σ is the hard diameter and λ > 1.
Equation of state
- Main article: Equations of state for the square well model
Virial coefficients
- Main article: Square well potential: virial coefficients
Critical point
References
- J. A. Barker and D. Henderson "Perturbation Theory and Equation of State for Fluids: The Square-Well Potential", Journal of Chemical Physics 47 pp. 2856-2861 (1967)
- Kraemer D. Luks and John J. Kozak "The Statistical Mechanics of Square-Well Fluids", Advances in Chemical Physics 37 chapter 4 pp. 139-201 (1978)
- Elisabeth Schöll-Paschinger, Ana Laura Benavides and Ramon Castañeda-Priego "Vapor-liquid equilibrium and critical behavior of the square-well fluid of variable range: A theoretical study", Journal of Chemical Physics 123 234513 (2005)
- R. López-Rendón, Y. Reyes and P. Orea "Thermodynamic properties of short-range square well fluid", Journal of Chemical Physics 125 084508 (2006)