  The SAFT-0 is an equation of state (EOS) that considers the effects of
molecular association based on the statistical association fluid theory (SAFT).
This EOS recently showed relatively successful calculations of the
phase-equilibrium properties and the classical and nonclassical nucleation
rates of methanol. Motivated by methanol results, we use the SAFT-0 EOS for
water, in particular within the temperature range of anomalous density behavior
below T_{max}=277.15 K. To do so, we adjust the effective temperature-dependent
segment diameter in terms of the association energy in a way that the SAFT-0
EOS reproduces the water vapor-liquid equilibria and the vapor pressures,
particularly in the temperature range where the data of nucleation rates of
water are available (220-260 K). The Gibbsian form of classical nucleation
theory (CNT) (known as the P-form) and nonclassical gradient theory (GT)
calculations were carried out using the SAFT-0 EOS with and without including
this adjusted diameter. Calculated rates were compared to the experimental
values of W\"olk and Strey [J. Phys. Chem. B 2001, 105, 11683-11701]. In
addition to the phase-equilibrium properties, this adjustment improved the
nucleation rates from both GT and CNT by factors of 500 and 100, respectively.
To explore this further, the GT and experimental rates were analyzed using
Hale's scaled model [J. Chem. Phys., 2005, 122, 204509]. This analysis shows
that the predictions of GT scale relatively well with those of the experimental
data.
