Santos-Lopez de Haro hard sphere equation of state

The Santos-Lopez de Haro hard sphere equation of state is given by (Eq. 2):

$Z(\eta )=1+{\frac {1+c_{1}\eta +c_{2}\eta ^{2}+c_{3}\eta ^{3}-(1+2a_{1}\eta +a_{2}\eta ^{2})^{3/2}}{A(1-\eta )^{k}}}$

where $\eta$ is the packing fraction, given by $\eta =v_{d}\rho \sigma ^{d}$, $Z$ is the compressibility factor, and, for $k=3$, one has (Table I): $a_{1}=0.271232$, $a_{2}=1.94804$, $A=1.51486$, $c_{1}=6.87314$, $c_{2}=0.00268343$ and $c_{3}=1.33515$.

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