Ab initio atomistic thermodynamics (AIAT) has become
an indispensable
tool to estimate Gibbs free energy changes for solid surfaces interacting
with gaseous species relative to pressure (
p
) and
temperature (
T
). For such systems, AIAT assumes that
solid vibrational contributions to Gibbs free energy differences cancel
out. However, the validity of this assumption is unclear for nanoscale
systems. Using hydrated titania nanoparticles (NPs) as an example,
we estimate the vibrational contributions to the Gibbs free energy
of hydration (Δ
G
hyd
(
T
,
p
)) for arbitrary NP size and
degree of hydration. Comparing Δ
G
hyd
(
T
,
p
) phase diagrams
for NPs when considering these contributions (AIAT
nano
)
relative to a standard AIAT approach reveals significant qualitative
and quantitative differences, which only become negligible for large
systems. By constructing a size-dependent Δ
G
hyd
(
T
,
p
) phase diagram, we illustrate how our approach can provide deeper
insights into how nanosytems interact with their environments, with
many potential applications (e.g., catalytic nanoparticles, biological
colloids, nanoparticulate pollutants).