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Application of Fractal Geometry to Interfacial Electrochemistry - I. Diffusion Kinetics at Fractal Electrodes

  • Shin Heon-Cheol (Corrosion and Interfacial Electrochemistry Research Laboratory at Department of Materials Science and Engineering, Korea Advanced Institute of Science and Technology) ;
  • Pyun Su-Il (Corrosion and Interfacial Electrochemistry Research Laboratory at Department of Materials Science and Engineering, Korea Advanced Institute of Science and Technology)
  • Published : 2001.02.01

Abstract

This article is concerned with the application of the fractal geometry to interfacial electrochemistry. Especially, we dealt with diffusion kinetics at the fractal electrodes. This article first explained the basic concepts of the Sacral geometry which has proven to be fruitful for modelling rough and irregular surfaces. Finally this article examined the electrochemical responses to various signals under diffusion-limited reactions during diffusion towards the fractal interfaces: The generalised forms, including the fractal dimension of the electrode surfaces, of Cottrell, Sand and Randles-Sevcik equations were theoretically derived and explained in chronoamperomety, chronopotentiometry and linear sweep/cyclic voltammetry, respectively.

프랙탈 기하학의 계면 전기화학에로의 응용과 관련하여 프랙탈 표면을 향한 이온/원자 확산의 속도론에 대하여 다루었다. 우선 프랙탈 기하학의 기본 개념에 대하여 설명하였고, 이를 바탕으로 이온/원자의 확산 현상과 관련하여 다양한 전기적 입력하에서 전극 표면의 프랙탈 특성에 기인하는 특수한 반응 양상이 설명되었다 Chronoamperometry, chronopotentiometry및 linear sweep/cyclic voltammetry 실험시에 각각 관찰되는, 전극의 프랙탈 차원이 포함된 일 반화된 Cottrell, Sand 및 Randles-Sevcik 관계를 이론적으로 유도하였고, 그 의미에 대하여 설명하였다

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