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