基于电化学阵列计时电流数据对纳米颗粒或电化学活性纳米组分的分布重构（英文）  

Reconstruction of Distributions of Nanoparticles or Electroactive Nano-Components in Electrochemical Arrays Based on Chronoamperometric Data

作　　者：alexander oleinick oleksii sliusrenko irina svir christian amatore Alexander Oleinick Oleksii Sliusarenko Irina Svir Christian Amatore(Ecole Normale Superieure-PSL Research University, Departement de Chimie, Sorbonne Universites-UPMC Paris 6, CNRS UMR 8640 PASTEUR, 24 rue Lhomond, 75005 Paris, Franc)

机构地区：[1]高等师范学院-巴黎文理研究大学联盟,化学系,索邦大学-巴黎第六大学,法国国家科学研究院混合研究单位,法国巴黎75005

出　　处：《电化学》2017年第2期141-158,共18页Journal of Electrochemistry

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”)

摘　　要：本文主要阐述和考察了一种简单的基于时间相关的电化学阵列计时电流响应数据来重构概率密度分布(f(ρ))的数学和数值方法 ,并应用于表征平面导体电化学惰性表面存在的或沉积的电化学活性或电催化纳米组分的分布,建立了适用于三种阵列(一种周期性分散和两种随机分散)涉及近球形纳米组分在平滑表面分散的数学和数值有效方法.而这三种阵列代表了大多数应用于分析或电催化的二维实验电化学纳米阵列.本文建立的重构步骤易于通过大多数商业数学程序来实现,尽管方法简单,但允许恢复的概率密度精度很高,即使是可利用的实验获得的时间范围太短时也能严格应用,因此,完全适合于大多数实验过程.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.

关 键 词：电化学阵列 计时电流 反问题 微纳米圆盘电极阵列 密度分布概率 沃罗诺伊镶嵌 

分 类 号：O646[理学—物理化学]