Tetrahedral hard sphere model

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HS tetrahedron.png

The tetrahedral hard sphere model consists of four hard spheres located on the vertices of a regular tetrahedron.

Second virial coefficient[edit]

The second virial coefficient is given by ([1] Eq.5):

\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.

Equation of state[edit]

The equation of state is given by ([1] Eq. 17):

\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.


  1. 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) Cite error: Invalid <ref> tag; name "AbascalBresme" defined multiple times with different content
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