Polymer-grafted
nanoparticle (GNP) membranes show increased gas
permeability relative to pure polymer analogs, with this effect evidently
tunable through systematic variations in the grafted polymer chain
length and grafting density. Additionally, these materials show less
deleterious aging effects relative to the pure polymer. To better
understand these issues, we explore the solid-state mechanical properties
of GNP layers using quartz crystal microbalance (QCM) spectroscopy,
which operates under conditions (≈5 MHz) that we believe are
relevant to gas transport. The GNP’s high-frequency storage
moduli exhibit a characteristic increase with increasing nanoparticle
(NP) core loading, consistent with past work on the reinforcement
of polymers physically well mixed with bare NPs. However, these GNPs
show a substantial, nonmonotonic decrease in loss as a function of
chain length (at fixed grafting density), with the loss minimum corresponding
to the chain length with the maximum gas permeability. We speculate
that this feature corresponds to a dynamical transition, where the
GNP membranes go from a jammed solid (colloid-like) to liquid-like
(polymer-controlled) behavior with increasing chain length.