Square well model: Difference between revisions

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m (Added more references)
m (Better defined r)
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:<math>
:<math>
\Phi\left( r \right) =  
\Phi_{12}\left( r \right) =  
\left\{ \begin{array}{ccc}
\left\{ \begin{array}{ccc}
\infty & ; & r < \sigma \\
\infty & ; & r < \sigma \\
Line 10: Line 10:
</math>
</math>


where <math>\Phi(r)</math> is the [[intermolecular pair potential]], <math>\epsilon</math> is the well depth, <math>r</math> is the distance, &sigma; is the hard diameter
where <math>\Phi_{12}(r)</math> is the [[intermolecular pair potential]], <math>\epsilon</math> is the well depth, <math>r</math> is the distance between site 1 and site 2  <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math>, &sigma; is the hard diameter
and &lambda; &gt; 1.
and &lambda; &gt; 1.
==Equation of state==
==Equation of state==

Revision as of 14:59, 17 July 2008

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The Square well model is given by

where is the intermolecular pair potential, is the well depth, is the distance between site 1 and site 2 , 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

  1. 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

  1. 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)
  2. 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)
  3. 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)
  4. R. López-Rendón, Y. Reyes and P. Orea "Thermodynamic properties of short-range square well fluid", Journal of Chemical Physics 125 084508 (2006)