Square well model

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The square well model is given by [1]

\Phi_{12}\left( r \right) = 
\left\{ \begin{array}{ccc}
\infty & ; & r < \sigma \\
- \epsilon & ; &\sigma \le r < \lambda \sigma \\
0         & ; & r \ge \lambda \sigma \end{array} \right.

where \Phi_{12}(r) is the intermolecular pair potential, \epsilon is the well depth, r is the distance between site 1 and site 2 r := |\mathbf{r}_1 - \mathbf{r}_2|, σ is the hard diameter and λ > 1. For an infinitesimally narrow well one has the sticky hard sphere model proposed by Baxter.

Equation of state[edit]

Main article: Equations of state for the square well model

Virial coefficients[edit]

Main article: Square well potential: virial coefficients

Liquid-vapour coexistence[edit]


Critical point[edit]

[3] [4] [5]

Direct correlation function[edit]

Direct correlation function [6].

Helmholtz energy function[edit]

Helmholtz energy function [7].

See also[edit]


Related reading