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We perform direct large molecular dynamics simulations of homogeneous SPC/Ewater nucleation, using up to $\sim 4\cdot 10^6$ molecules. Our large systemsizes allow us to measure extremely low and accurate nucleation rates, down to$\sim 10^{19}\,\textrm{cm}^{-3}\textrm{s}^{-1}$, helping close the gap betweenexperimentally measured rates $\sim 10^{17}\,\textrm{cm}^{-3}\textrm{s}^{-1}$.We are also able to precisely measure size distributions, stickingefficiencies, cluster temperatures, and cluster internal densities. Weintroduce a new functional form to implement the Yasuoka-Matsumoto nucleationrate measurement technique (threshold method). Comparison to nucleation modelsshows that classical nucleation theory over-estimates nucleation rates by a feworders of magnitude. The semi-phenomenological nucleation model does better,under-predicting rates by at worst, a factor of 24. Unlike what has beenobserved in Lennard-Jones simulations, post-critical clusters have temperaturesconsistent with the run average temperature. Also, we observe thatpost-critical clusters have densities very slightly higher, $\sim 5\%$, thanbulk liquid. We re-calibrate a Hale-type $J$ vs. $S$ scaling relation usingboth experimental and simulation data, finding remarkable consistency in over$30$ orders of magnitude in the nucleation rate range, and $180\,$K in thetemperature range.

Homogeneous SPC/E water nucleation in large molecular dynamics simulations