  The classical nucleation equation, applied to two liquids, is completed by an
additional enthalpy for solid supercluster formation governing the liquid and
glass transformations. This model, successfully applied to d-mannitol,
triphenyl phosphite and n-butanol, defines a formation rule of strong glacial
phase, explaining the origin of the first-order transition of water from
fragile-to-strong liquid at TLL = 228.5 K, only knowing Tg = 137.1 K, the
melting heat and the melting temperature Tm. All thermodynamic properties and
transitions, even under pressure P, are now predicted in agreement with
experiments of Kanno and Angell (1979), Mishima (1994), Mishima and Stanley
(1998), Loerting et al (2006), Amann-Winkel et al (2013), Shephard and Salzmann
(2016, 2017), Tulk et al (2019). This glacial phase is formed at TLL =
0.8367*Tm for P < 0.017 GPa. (TLL) decreases with P < 0.017 GPa and disappears
for P > 0.55 GPa. The lowest-density liquid is, at once, the glacial phase of
fragile and high-density liquids. It is formed at TLL, remains liquid during
the first cooling, and gives rise to the glass phase by heating through a
first-order transition without latent heat at TK2 = 122.4 K. Ordered liquid
Phase 3 appears during the first heating above Tg = 137.1 K, with its own
Kauzmann temperature, superheating above Tm up to Tn+ if crystallization is
avoided. The latent heat at TLL exists during the first cooling and is
compensated during the next cooling by Phase 3 formation heat. The first-order
transition without latent heat at TK2 = 122.4 K induces ordered Phase 3,
becomes underlying below Tg in further heating and induces an enthalpy excess
at Tm which is used to predict TK2. This description agrees with the broken
bond and solid fractal structure percolation theories.
