2014
DOI: 10.1002/cphc.201301197
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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?

Abstract: 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… Show more

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Cited by 7 publications
(6 citation statements)
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“…The carbon nanotubes are highly conductive due to their multiwalled structure, 35 and their large sizes preclude current fluctuations relating to a shot noise process arising from the finite nature of the solution-phase hydrogen concentration. 36 Given this, it is reasonable to conclude that these fluctuations are associated with the electrical connection between the electrode and nanoparticle. Of the cases featuring similar nanoparticle residence times, similar fluctuations have been observed, for example, in the electrochemical response of individual spherical gold nanoparticles catalyzing proton reduction on impact with a carbon fiber electrode.…”
Section: Resultsmentioning
confidence: 98%
“…The carbon nanotubes are highly conductive due to their multiwalled structure, 35 and their large sizes preclude current fluctuations relating to a shot noise process arising from the finite nature of the solution-phase hydrogen concentration. 36 Given this, it is reasonable to conclude that these fluctuations are associated with the electrical connection between the electrode and nanoparticle. Of the cases featuring similar nanoparticle residence times, similar fluctuations have been observed, for example, in the electrochemical response of individual spherical gold nanoparticles catalyzing proton reduction on impact with a carbon fiber electrode.…”
Section: Resultsmentioning
confidence: 98%
“…The cyclic voltammograms of the individual tubes evidence that the noise in the current is intimately associated with the Faradaic charge transfer and is not capacitative in origin. Due to the magnitude of the currents involved it is unlikely that these fluctuations are due to shot noise associated with the discrete nature of the charge carrier (hydrogen in the present case) . Second, the use of multi‐walled carbon nanotubes renders it unlikely that the fluctuations arise due to conduction along the length of the tube .…”
Section: Figurementioning
confidence: 95%
“…Cutress et al for instance used aG PU-based random walk simulation to investigate cyclic voltammetry [119] and potential-step chronoamperometry [120] at low concentrations, while Kätelhçn and Compton focusedo nt he noise-characteristics of the mediated Faradaic current across an anoparticle impactingo naFaradaically inactive electrode surface. [121] Aside from the modelling of systems at low concentrations, random walk simulations can furtherb e employed to investigate noise characteristics of electrochemical sensors in nanofluidic devices. Hereby, applications include the modelling of methods for single molecule detection [122] as well as the simulation [117,123] of spectra obtained from electrochemicalcorrelation spectroscopy (ECS).…”
Section: Finite Electron Transfer Kineticsmentioning
confidence: 99%