Note: Equation of state and the freezing point in the hard-sphere model
  The merits of different analytical equations of state for the hard-sphere system with respect to the recently computed high-accuracy value of the freezing-point packing fraction are assessed. It is found that the Carnahan-Starling-Kolafa and the branch-point approximant equations of state yield the best performance. 
Miguel Robles, Mariano L\'opez de Haro, and Andr\'es Santos
cond-mat.soft cond-mat.stat-mech physics.chem-ph