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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