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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