How secondary aerosols form is critical as aerosols’ impact on Earth’s climate is one of the main sources of uncertainty for understanding global warming. The beginning stages for formation of...
We
explored the hypothesis that on the nanoscale level, acids and
bases might exhibit different behavior than in bulk solution. Our
study system consisted of sulfuric acid, formic acid, ammonia, and
water. We calculated highly accurate Domain-based Local pair-Natural
Orbital- Coupled-Cluster/Complete Basis Set (DLPNO-CCSD(T)/CBS) energies
on DFT geometries and used the resulting Gibbs free energies for cluster
formation to compute the overall equilibrium constants for every possible
cluster. The equilibrium constants combined with the initial monomer
concentrations were used to predict the formation of clusters at the
top and the bottom of the troposphere. Our results show that formic
acid is as effective as ammonia at forming clusters with sulfuric
acid and water. The structure of formic acid is uniquely suited to
form hydrogen bonds with sulfuric acid. Additionally, it can partner
with water to form bridges from one side of sulfuric acid to the other,
hence demonstrating that hydrogen bonding topology is more important
than acid/base strength in these atmospheric prenucleation clusters.
By addressing the defects in classical nucleation theory
(CNT),
we develop an approach for extracting the free energy of small water
clusters from nucleation rate experiments without any assumptions
about the form of the cluster free energy. For temperatures higher
than ∼250 K, the extracted free energies from experimental
data points indicate that their ratio to the free energies predicted
by CNT exhibits nonmonotonic behavior as the cluster size changes.
We show that this ratio increases from almost zero for monomers and
passes through (at least) one maximum before approaching one for large
clusters. For temperatures lower than ∼250 K, the behavior
of the ratio between extracted energies and CNT’s prediction
changes; it increases with cluster size, but it remains below one
for almost all of the experimental data points. We also applied a
state-of-the-art quantum mechanics model to calculate free energies
of water clusters (2–14 molecules); the results support the
observed change in behavior based on temperature, albeit for temperatures
above and below ∼298 K. We compared two different model chemistries,
DLPNO-CCSD(T)/CBS//ωB97xD/6-31++G** and G3, against each other
and the experimental value for formation of the water dimer.
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