Tetrahedral hard sphere model
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The tetrahedral hard sphere model consists of four hard spheres located on the vertices of a regular tetrahedron.
[edit] Second virial coefficient
The second virial coefficient is given by (
\[\frac{B_2^*}{4V_m^*} = 1 + \frac{UL^* + VL^{*3}}{4}\]
where \(L^*\) is the reduced elongation, \(V_m^*\) is the corresponding reduced volume, \(U=0.72477\) and \(V=4.730\).
[edit] Equation of state
The equation of state is given by (
\[\frac{\beta P}{\rho} = \frac{1+(1+UL^* + VL^{*3})y + (1+WL^* + XL^{*4})y^2 - (1+ ZL^{*3})y^3}{(1-y)^3}\]
where \(U=0.72477\), \(V=4.730\), \(W=1.3926\), \(X=24.78\) and \(Z=7.69\).
[edit] References
- ↑ 1.0 1.1 J. L. F. Abascal and F. Bresme "Monte Carlo simulation of the equation of state of hard tetrahedral molecules", Molecular Physics 76 pp. 1411-1421 (1992)
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