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电化学(中英文) ›› 2017, Vol. 23 ›› Issue (2): 141-158.  doi: 10.13208/j.electrochem.161245

• 田昭武先生90大寿祝贺专辑(厦门大学 孙世刚 林昌健教授主编) • 上一篇    下一篇

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

Alexander Oleinick, Oleksii Sliusarenko, Irina Svir, Christian Amatore*   

  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8640巴斯德,洛蒙街24号,邮编75005,法国巴黎
  • 收稿日期:2017-01-03 修回日期:2017-03-17 出版日期:2017-04-28 发布日期:2017-03-22
  • 通讯作者: Christian AMATORE E-mail:christian.amatore@ens.fr
  • 基金资助:

    This work was supported in parts by PSL, Ecole Normale Supérieure, CNRS, and the University Pierre and Marie Curie (UMR 8640). Support by the ANR-NSF bilateral (USA-France) program (ANR grant #ANR-AAP-CE06 “ChemCatNanoTech”) is also greatly acknowledged.

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

Alexander Oleinick, Oleksii Sliusarenko, Irina Svir, Christian Amatore*   

  1. Ecole Normale Supérieure-PSL Research University, Département de Chimie, Sorbonne Universités-UPMC Paris 6, CNRS UMR 8640 PASTEUR, 24 rue Lhomond, 75005 Paris, France
  • Received:2017-01-03 Revised:2017-03-17 Published:2017-04-28 Online:2017-03-22
  • Contact: Christian AMATORE E-mail:christian.amatore@ens.fr
  • About author:christian.amatore@ens.fr
  • Supported by:

    This work was supported in parts by PSL, Ecole Normale Supérieure, CNRS, and the University Pierre and Marie Curie (UMR 8640). Support by the ANR-NSF bilateral (USA-France) program (ANR grant #ANR-AAP-CE06 “ChemCatNanoTech”) is also greatly acknowledged.

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.

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

Abstract:

The main scope of this work was to elaborate and test a simple mathematical and numerical procedure for reconstructing the probability density distributions f(ρ) 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 flat surface. Indeed, altogether, these three types represent most 2D-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.

Key words: electrochemical arrays, chronoamperometry, inverse problem, micro- and nanodisk electrode arrays, density distribution probability, voronoi tessellation

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