The main scope of this work was to elaborate and test a simple mathematical and numerical procedure for recon-structing the probability density distributionsf(p)characterizing the distribution of electroactive or elec...The main scope of this work was to elaborate and test a simple mathematical and numerical procedure for recon-structing the probability density distributionsf(p)characterizing the distribution of electroactive or electrocatalytic nano-components present or deposited on the electrochemically-inert surface of a planar conductor based on the time-dependent chronoamperometric responses of the corresponding electrochemical array.The mathematical and numerical validity of the procedure was established for three types of arrays(one periodical,two involving random dispersions)involving near-spherical nano-components dispersed on a fiat surface.Indeed,altogether,these three types represent most experimental electrochemical nano-arrays used for analytical or electrocatalytic purposes.This reconstruction procedure is easily implementable using most commercial mathematical programs.Albeit the simplicity of its implementation,it allowed recovering probability densities with an excellent precision,even when the available time-range experimentally accessible was too short for its rigorous application,being thus perfectly adequate to most experimental purposes.展开更多
基金supported in parts by PSL,Ecole Normale Supérieure,CNRS,and the University Pierre and Marie Curie(UMR 8640)the ANRNSF bilateral(USA-France)program(ANR grant#ANR-AAP-CE06“ChemCatNanoTech”)
文摘The main scope of this work was to elaborate and test a simple mathematical and numerical procedure for recon-structing the probability density distributionsf(p)characterizing the distribution of electroactive or electrocatalytic nano-components present or deposited on the electrochemically-inert surface of a planar conductor based on the time-dependent chronoamperometric responses of the corresponding electrochemical array.The mathematical and numerical validity of the procedure was established for three types of arrays(one periodical,two involving random dispersions)involving near-spherical nano-components dispersed on a fiat surface.Indeed,altogether,these three types represent most experimental electrochemical nano-arrays used for analytical or electrocatalytic purposes.This reconstruction procedure is easily implementable using most commercial mathematical programs.Albeit the simplicity of its implementation,it allowed recovering probability densities with an excellent precision,even when the available time-range experimentally accessible was too short for its rigorous application,being thus perfectly adequate to most experimental purposes.
