Structural modelling of fractals towards electrochemical surface technology

Abstract

<span style="font-size:11.0pt;line-height:115%; font-family:" calibri","sans-serif";mso-ascii-theme-font:minor-latin;mso-fareast-font-family:="" "times="" new="" roman";mso-fareast-theme-font:minor-fareast;mso-hansi-theme-font:="" minor-latin;mso-bidi-font-family:"times="" roman";mso-ansi-language:en-us;="" mso-fareast-language:en-us;mso-bidi-language:ar-sa"="">The fractal geometry has been considered as a powerful tool to characterize the metal solution interface in terms of the surface roughness besides having its widely published, utility in Chemistry and Physics. This paper describes the brief account on the generation of the Mandelbrot Apple-tree sets with an emphasis on deterministic and stochastic fractals and also would concentrate on the build-up of impedance diagrams of different complex equivalent circuits by viewing the surface through fractal patterns. A general simulation programme for the calculation of Nyquist plots with respect to fractal electrode-electrolyte interface has been developed and the implications of this model for electrochemical surface technology are discussed.</span>