Understanding
the dynamics of reactive mixtures still
challenges
both experiments and theory. A relevant example can be found in the
chemistry of molecular metal-oxide nanoclusters, also known as polyoxometalates.
The high number of species potentially involved, the interconnectivity
of the reaction network, and the precise control of the pH and concentrations
needed in the synthesis of such species make the theoretical/computational
treatment of such processes cumbersome. This work addresses this issue
relying on a unique combination of recently developed computational
methods that tackle the construction, kinetic simulation, and analysis
of complex chemical reaction networks. By using the Bell–Evans–Polanyi
approximation for estimating activation energies, and an accurate
and robust linear scaling for correcting the computed pK
a values, we report herein multi-time-scale kinetic simulations
for the self-assembly processes of polyoxotungstates that comprise
22 orders of magnitude, from tens of femtoseconds to months of reaction
time. This very large time span was required to reproduce very fast
processes such as the acid/base equilibria (at 10–12 s), relatively slow reactions such as the formation of key clusters
such as the metatungstate (at 103 s), and the very slow
assembly of the decatungstate (at 106 s). Analysis of the
kinetic data and of the reaction network topology shed light onto
the details of the main reaction mechanisms, which explains the origin
of kinetic and thermodynamic control followed by the reaction. Simulations
at alkaline pH fully reproduce experimental evidence since clusters
do not form under those conditions.