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How Many Molecules are Required to Obtain a Steady Faradaic Current from Mediated Electron Transfer at a Single Nanoparticle on a Supporting Surface?
Author(s) -
Kätelhön Enno,
Krause Kay J.,
Wolfrum Bernhard,
Compton Richard G.
Publication year - 2014
Publication title -
chemphyschem
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.016
H-Index - 140
eISSN - 1439-7641
pISSN - 1439-4235
DOI - 10.1002/cphc.201301197
Subject(s) - shot noise , particle (ecology) , nanoparticle , electron transfer , steady state (chemistry) , chemical physics , current (fluid) , noise (video) , electron , chemistry , molecular physics , radius , particle size , analytical chemistry (journal) , nanotechnology , materials science , atomic physics , physics , thermodynamics , optics , chromatography , quantum mechanics , oceanography , image (mathematics) , artificial intelligence , detector , computer science , geology , computer security
We investigate the chronoamperometric noise characteristics of electron‐transfer reactions occurring on single nanoparticles (NPs) and assemblies of well‐separated NPs on a supporting surface. To this end, we combine a formerly described expression for the steady‐state current of a single particle with the shot‐noise model and derive an expression for the signal‐to‐noise ratio as a function of bulk concentration and particle radius. Our findings are supported by random‐walk simulations, which closely match the analytical results.