Spatially Resolved Modeling
of Electric Double Layers
and Surface Chemistry for the Hydrogen Oxidation Reaction in Water-Filled
Platinum–Carbon Electrodes
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Abstract
We present a multidimensional model that spatially resolves
transport,
surface chemistry, and electrochemical kinetics within water-filled
pores of a porous electrode with an adjacent Nafion polymer electrolyte.
A novel aspect of this model is the simultaneous capturing of the
electric double layers (EDLs) at the water|Nafion and water|electrode
interfaces. In addition, the model incorporates discrete domains to
spatially resolve specific adsorption at the inner Helmholtz plane
(IHP); surface charging due to functional groups; and multistep, multipathway
electrochemical reactions at the outer Helmholtz plane (OHP). Herein,
we apply the model to the hydrogen oxidation reaction (HOR) in water-filled
mesopores of a platinum– (Pt−) carbon electrode, similar
to a polymer electrolyte fuel cell’s (PEFC’s) anode.
This work was motivated by the limited understanding of how incomplete
polymer electrolyte coverage of a catalyst affects the kinetics and
transport in these electrodes. Our results indicate that the Pt within
a water-filled pore is only 5% effective for an applied potential
of 20 mV. At low potentials (<150 mV), the current is limited by
the low H<sub>2</sub> solubility in water according to the Tafel–Volmer
HOR pathway. At higher potentials, the current is reduced by proton
exclusion by the overlapping EDLs and the Donnan potential at the
water|polymer electrolyte interface, suppressing the Heyrovsky–Volmer
pathway. Our analysis includes a parametric study of the pore radius
and length