Abstract

An analytical solution for the effect of particle size on the current density and near-surface ion distribution around spherical nanoparticles is presented in this work. With the long-term aim to support predictions on corrosion reactions in the human body, the spherical diffusion equation was solved for a set of differential equations and algebraic relations for pure unbuffered and carbonate buffered solutions. It was shown that current densities increase significantly with a decrease in particle size, suggesting this will lead to an increased dissolution rate. Near-surface ion distributions show the formation of a steep pH-gradient near the nanoparticle surface (<6 μm) which is further enhanced in the presence of a carbonate buffer (<2 μm). Results suggest that nanoparticles in pure electrolytes not only dissolve faster than bigger particles but that local pH-gradients may influence interactions with the biological environment, which should be considered in future studies.

Highlights

  • Nanoparticles have gained an immense interest during the past decades

  • Results are discussed for the specific case of a carbonate buffer and agglomeratefree nanoparticle suspensions

  • The spherical geometry leads to a change of the local ion distributions, which become steeper for smaller particles, resulting in higher current densities

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Summary

Introduction

Nanoparticles (i.e. particles in the nanometre size range) have gained an immense interest during the past decades. The high surface-to-volume ratio of these particles has led to applications in the area of heterogeneous catalysis [1], especially for electrochemical reactions involving the oxygen reduction/evolution reaction (ORR/OER) and CO2 reduction [2,3,4], to enhance mechanical properties of alloys [5,6] and for biomedical applications [7] such as nanosheets and nanozymes for catalytic use [8,9] Due to their small size, nanoparticles can be absorbed by the human body and engulfed by cells (endocytosis) through a variety of exposure routes, such as inhalation, ingestion, injection, and dermal exposure [10,11,12,13].

Literature
Fundamental concept
Model development
Analytical solution for the steady state
Unbuffered solution
Carbonate buffer system
Experimental verification for flat surfaces using a rotating disk electrode
Importance of main findings
Conclusions
Declaration of Competing Interest
Full Text
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