|کد مقاله||کد نشریه||سال انتشار||مقاله انگلیسی||ترجمه فارسی||نسخه تمام متن|
|217925||463174||2016||9 صفحه PDF||سفارش دهید||دانلود رایگان|
• Highly accurate but cheap approximations to chronoamperometric currents
• Applicable to edge effects resulting from straight electrode edges
• Combining known formulae for limiting cases with minimax approximations
• Suitable for experimental data analysis and validation of modelling methods
Theoretical considerations of potential step chronoamperometry for electrochemical systems involving straight electrode edges lead to a number of analytical or semi-analytical expressions, or special functions, describing current-time dependences. Unfortunately the functions are hard to evaluate accurately on a computer, due to numerical difficulties or high computational costs. In this work computationally inexpensive procedures have been developed, for two special functions describing chronoamperometry at a single straight edge and for one special function expressing chronoamperometric current at a single microband electrode (two straight edges). The concept of the minimax approximation has been employed. The procedures are highly accurate, ensuring relative errors close to, or even smaller than 10− 16, which is the machine accuracy for standard double precision variables. In addition, computing a single function value requires less than a microsecond of the processor time on currently available personal computers. The procedures can be useful for the purposes of experimental data analysis, and for the testing/validation of diverse mathematical and numerical modelling techniques designed for electroanalytical chemistry.
Journal: Journal of Electroanalytical Chemistry - Volume 760, 1 January 2016, Pages 71–79