Modelling Electroanalytical Experiments by the Integral Equation Method PDF
Preview Modelling Electroanalytical Experiments by the Integral Equation Method
Monographs in Electrochemistry Series Editor: F. Scholz Lesław K. Bieniasz Modelling Electroanalytical Experiments by the Integral Equation Method Modelling Electroanalytical Experiments by the Integral Equation Method Monographs in Electrochemistry SeriesEditor:FritzScholz,UniversityofGreifswald,Germany Surprisingly,alargenumberofimportanttopicsinelectrochemistryisnotcovered by Up-to-date monographs and series on the market, some topics are even not coveredatall.TheseriesMonographsinElectrochemistryfillsthisgapbypublish- ingindepthmonographswrittenbyexperiencedanddistinguishedelectrochemists, covering both theory and applications. The focus is set on existing as well as emergingmethodsforresearchers, engineers,and practitionersactive in the many and often interdisciplinary fields, where electrochemistry plays a key role. These fields will range – among others – from analytical and environmentalsciences to sensors,materialssciencesandbiochemicalresearch. Moreinformationabouttheseriesat http://www.springer.com/series/7386 Lesław K. Bieniasz Modelling Electroanalytical Experiments by the Integral Equation Method 123 LesławK.Bieniasz CracowUniversityofTechnology Cracow Poland ISSN1865-1836 ISSN1865-1844(electronic) ISBN978-3-662-44881-6 ISBN978-3-662-44882-3(eBook) DOI10.1007/978-3-662-44882-3 SpringerHeidelbergNewYorkDordrechtLondon LibraryofCongressControlNumber:2014957755 ©Springer-VerlagBerlinHeidelberg2015 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof thematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation, broadcasting,reproductiononmicrofilmsorinanyotherphysicalway,andtransmissionorinformation storageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodology nowknownorhereafterdeveloped.Exemptedfromthislegalreservationarebriefexcerptsinconnection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’slocation,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer. PermissionsforusemaybeobtainedthroughRightsLinkattheCopyrightClearanceCenter.Violations areliabletoprosecutionundertherespectiveCopyrightLaw. Theuseofgeneraldescriptivenames,registerednames,trademarks,servicemarks,etc.inthispublication doesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevant protectivelawsandregulationsandthereforefreeforgeneraluse. While the advice and information in this book are believed to be true and accurate at the date of publication,neithertheauthorsnortheeditorsnorthepublishercanacceptanylegalresponsibilityfor anyerrorsoromissionsthatmaybemade.Thepublishermakesnowarranty,expressorimplied,with respecttothematerialcontainedherein. Printedonacid-freepaper SpringerispartofSpringerScience+BusinessMedia(www.springer.com) Idedicatethisbooktothememoryofmy mother,Maria Preface Theoretical modelling of transient electroanalytical experiments is commonly accomplishedbyformulatingandsolvinginitialorinitial-boundaryvalueproblems thatdescribetransportofreactants,homogeneousandheterogeneousreactions,and otherphenomenatakingplaceinelectrochemicalsystems.Theconversionofthese problemsintointegralequations,subsequentlysolvedanalyticallyornumerically,is aclassicalmodellingmethodwhichhascontributedsignificantlytothedevelopment of electroanalytical techniques. Although this method has limitations (compared to direct solutions of differential equations by finite difference, finite element, or similar methods),it can be more rewarding(in cases when it is applicable)owing to additional theoretical insights that it offers. It can also bring a reduction of the costs of numerical simulations, albeit at the expense of extra human effort neededforthederivationoftheintegralequations.Themethodisthereforeworthy of application and development. Unfortunately for anybody willing to learn and use the method, its theoretical principles and example applications are scattered in the electrochemical literature, and none of the existing textbooks provides its comprehensive description. Even the last edition of the monograph by Dieter Britz, “Digital Simulation in Electrochemistry”(Springer,Berlin, 2005),which is currentlythemostthoroughcompendiumofnumericalmethodsusedforsimulating transientexperiments,devotesonlytwopagestotheintegralequationmethod. Atthesametime,integralequationsarisinginelectroanalyticalchemistryremain almostunknowntomathematiciansorcomputationalscientistsengagedinstudiesof integralequations,andarerarelyusedasexamples,orasaninspirationforresearch. The present book is intended to help electrochemists, mathematicians, and computational scientists, to get acquainted with the integral equation method in electroanalyticalchemistry,byprovidinga(hopefully)comprehensivestate-of-the- art overview of the method and its applications. It is hoped that the book will stimulate interdisciplinaryresearch,resultingin newdevelopmentsof the method, andenlargementofitsapplicationscope. Cracow,Poland LesławK.Bieniasz July2014 vii Acknowledgements I wish to thank all, the personal contacts or correspondence with whom have helped me, over the years, to prepare this book. They are (in alpha- betical order): Dieter Britz, Davis Cope, Alexey Davydov, Milivoj Lovric´, Peter Mahon, Valentin Mircˇeski, Michael Mirkin, Janice Myland, Keith Oldham, Waldemar Rachowicz, Palghat Ramachandran, Zdeneˇk Samec, Jörg Strutwolf, OndˇrejWein,GuntherWittstock. IamparticularlygratefultoProf.DieterBritzandProf.MarianJaskułafortheir commentsresultingfromreadinganearlydraftofthisbook. I apologise for any possible omission of important citations or results in this book.AlthoughIhavedevotedalotoftimetocollectingliterature,onecanneverbe sureifsucheffortisfullysuccessful.InafewcasesIhavenotbeenabletoaccess thesourcematerialslistedindatabasesorontheInternet.Iwillappreciatefeedback fromtheReadersandindicationofanyremainingflawsinthisbook. ix
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