Santos-Lopez de Haro hard sphere equation of state

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The Santos-Lopez de Haro hard sphere equation of state is given by [1] (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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