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The author faces the problem of deriving an algorithm to compute the reversible Randles-Sevcik function for any real x. First,-he deduces an integral representa- tion for \/zz7(x). ... .” 33E05 33F05 35B10 35Q53 37K40 x 2003h:33024 33E20 41A58 Lether, Frank G. (1-GABY; Athens, GA A family of approximations for the numerical computation of the Randles-Sevcik function in electrochemistry ...
Author summary: “An algorithm for the numerical approximation of the reversible Randles-Sevcik function is developed. ... 1679 Lether, Frank G. (1-GA); Evans, Otis M. 86d:65028 An algorithm for the computation of the reversible Randles-Sevcik function in electrochemistry. Appl. Math. Comput. 16 (1985), no. 3, 253-264. ...
We derive two expansions of the Randles-Sevcik function √ πχ(x): an asymptotic expansion of √ πχ(x) for x → ∞ and its Taylor expansion at any x 0 ∈ R. ... These expansions are accompanied by error bounds for the remainder at any order of the approximation. ... Acknowledgments The financial support of The Government of Navarra (Res. 134/2002), The Government of Aragón (Cod. 161/02), DGCYT (BFM2000-0803) and MCYTDGI and FEDER (BFM2001-1793) is acknowledged. ...doi:10.1023/b:jomc.0000014309.04152.87 fatcat:f5jjkf5twndf5m35gecltloo5y
Alexander Alenitsyn (Hamburg) 2001b:65030 65D20 78A55 78M25 Lether, Frank G. (1-GABY; Athens, GA) Thiele rational interpolation for the numerical computation of the reversible Randles-Sevcik function in ... This paper is primarily concerned with the numerical computation of the reversible Randles-Sevcik function which arises in electro- chemistry, where under certain electrolysis conditions, it describes ...
The well-known properties of Fermi-Dirac functions allow us to derive explicit formulae for coefficients in power series and asymptotic expansions for the Randles-Sevcik function.” ... Ramanujan’s ;‘¥; sum is the evaluation of the sum which comes from the series }>c, with c,,;/C, a rational function of g” of de- gree one in the numerator and one in the denominator. ...
Professor Burke was a first rate scientist and an excellent mentor and friend to many. The field of Physical Electrochemistry is much the poorer for his absence. He will be sorely missed. ... Acknowledgments This paper is dedicated to the memory of Professor Laurence D Burke, Fellow of the Electrochemical Society, late of the Department of Chemistry, University College, Cork, Ireland who has ... . 28 and a Randles-Sevcik analysis to numerically evaluate the diffusive frequency τ D = D/L 2 . ...doi:10.1149/2.078212jes fatcat:jixeryb4rzfmxezg32sgbfqm4i
The electrooxidation potential (E 0" ) of cysteamine occurs at + 0.921 V. The mechanistic pathway of electrooxidation process at carbon fiber microelectrode is loss of 1 electron per molecule. ... The chemical and electrochemical parameters of the investigated system were determined experimentally and verified theoretically via digital simulation method. ... The number of electrons was determined by the application of Randles and Sevcik mathematical 43 and found to be equal to unity. ...doi:10.4067/s0717-97072011000400003 fatcat:digmfq33jzf2rkv2n4rwyior6y
The formula has been validated using known results for sinusoidal and square-wave modulation. # ... Here, we develop a simple formula, based upon neither of these approaches, which permits the prediction of the magnitude of the ac current resulting from a reversible faradaic process. ... Acknowledgements Financial help from the Natural Sciences and Engineering Research Council of Canada is gratefully acknowledged. ...doi:10.1016/s0022-0728(02)01158-0 fatcat:4uepajlzerfo3ney6mgyrfitpy
Direct and continuous monitoring of propofol is crucial in the development of automatic systems for control of drug infusion in anaesthesiology. ... We present a new method for electrochemical sensing, which compensates the fouling effect of propofol through machine learning (ML) model. ... Acknowledgement This work is supported by Politecnico di Torino and Compagnia di San Paolo under the initiative ''Joint research projects with top universities''. ...doi:10.1016/j.bios.2020.112666 pmid:33069958 fatcat:sey55izfavcq3cc3pbftuzwasy
Electrochemical methods offer an attractive means of detection, as they overcome many disadvantages associated with the currently available analytical methods. ... The SWV method provides a rapid means of diclofenac detection where cerium dioxide nanoparticles combined with electrode vacuum heat treatment and use of background correction all play an important role ... Acknowledgements The authors gratefully acknowledge the Fiosraigh Dean of Graduate Studies award from Technological University Dublin to R de Carvalho, the ESHI, FOCAS Institute and COST Action MP1407 ...doi:10.1016/j.microc.2020.105258 fatcat:7mzmij4pwvb6bm3bz5bzj2d7ba
University of Oxford in the UK. ... We show that software tools that were originally developed for a range of application domains can be applied to electrochemical problems, in particular Fourier voltammetry. ... In particular, the electrode area A may be found from the Randles-Sevćik equation and the formal electrode potential E • recovered from the DC component of the measured current. ...doi:10.1098/rsta.2011.0146 pmid:21768143 fatcat:7a6fo3kgjrajpgfgplvkfnnnam
However, those equations were derived based on an assumption of reversibility. ... The results of the simulation are compared against the results of a conventional analysis of the cyclic voltammograms and against the existing literature. ... equilibrium were developed by Randles  and Sevcik  . ...doi:10.1016/j.jnucmat.2016.04.002 fatcat:wh545f4qijaqjn6mjqwrmatl3u
The results of using synthetic data are then confirmed for an illustrative case of experimental data for the [Fe(CN) 6 ] 3−/4− process. ... We describe the use of Bayesian inference for quantitative comparison of voltammetric methods for investigating electrode kinetics. ... The approach yields distributions of parameter values (see 16) and hence estimates of the accuracy of recovered parameters. ...doi:10.1002/celc.201700678 fatcat:rqqkyk34yfevjn5u34agmqycgi
An effective electrochemical sensor for the selective determination of dopamine ͑DA͒ in the presence of ascorbic acid ͑AA͒ and uric acid ͑UA͒ in 0.04 mol L −1 universal buffer solution ͑pH 7.4͒ is introduced ... Moreover, validation parameters, such as reproducibility, sensitivity, and recovery were evaluated successfully in the determination of DA in diluted human urine. ... Acknowledgment The authors express their gratitude to the University of Cairo ͑Office of Vice President for Graduate Studies and Research͒ for providing partial financial support through "The Young Researchers ...doi:10.1149/1.3456629 fatcat:iml6epuh5raqtea7yf6bd7tc2m
The device features a limit of detection of 3.8M, meeting the requirement of the target application, with an electronics system 59% smaller and 81% less power consuming w.r.t. the state-of-the-art, using ... In this paper, we present a novel smart pen-shaped electronic system for continuous monitoring of propofol in human serum. ... ACKNOWLEDGMENT The authors would like to thank Dr. Francesca Criscuolo for her helpful advice and Dr. Alessandro Sanginario for his help in 3D printing. ...doi:10.1109/tbcas.2021.3067388 pmid:33739925 fatcat:vidstghfnfftdoeomeh2ny4dre
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