Framework materials constitute a
broad family of solids that range
from zeolites and metal–organic frameworks (MOFs) to coordination
polymers. The synthesis of such network structures typically rely
on precursor molecular building blocks. As an example, the UiO-66
MOF series is constructed of hexanuclear [Zr6O4(OH)4(CO2)12] cluster nodes and
linear carboxylate linkers. Unfortunately, these Zr MOF cluster nodes
cannot currently be manufactured in a sustainable way, motivating
a search for “green” alternative synthesis methods.
Stabilizing the hexanuclear Zr(IV) cluster (i.e., the hexamer, {Zr6
12+}) without the
use of organic ligation would enable the use of environmentally friendly
solvents such as water. The Zr(IV) tetranuclear cluster (i.e., the
tetramer, {Zr4
8+}) can be stabilized in solution
with or without organic ligands, yet the hexamer has yet to be synthesized
without supporting ligands. The reasons why certain zirconium clusters
are favored in aqueous solution over others are not well understood.
This study reports the relative thermodynamic instability of the hypothetical
hexamer {Zr6
12+} compared to the ubiquitous
{Zr4
8+} tetramer. Density functional theory
calculations were performed to obtain the hydrolysis Gibbs free energy
of these species and used to construct Zr Pourbaix diagrams that illustrate
the effects of electrochemical potential, pH, and Zr(IV) concentration.
It was found that the aqueous {Zr6
12+} hexamer
is ∼17.8 kcal/mol less stable than the aqueous {Zr4
8+} tetramer at pH = 0, V = 0, and [Zr(IV)] = 1 M, which
is an energy difference on the order of counterion interactions. Electronic
structure analyses were used to explore trends in the highest occupied
molecular orbital–lowest unoccupied molecular orbital gap,
frontier molecular orbitals, and electrostatic potential distribution
of these clusters. The evidence suggests that the aqueous {Zr6
12+} hexamer may be promoted with more strategic
syntheses incorporating minimal ligands and counterions.