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This book is the result of frustration. When I first became interested in digi tal simulation in 1967 (I didn't know the name then), there were no texts to tell one the how of it. This has not changed greatly since then; it is significant that just about all publications about the technique refer to a chapter by Feldberg in an electrochemical series, written in 1969. When I ran a course on the method recently, it became evident that this chapter is not enough for the raw beginner. Neither does he/she get much help from the mathematical textbooks which, at best, leave the special electrochemical aspects (if not a lot else) to one's imagination. This book, then, is written for practical digital simulators who do not have a friend who will tell them how to do it. The beauty of the digital approach is that one can separate out various dynamic processes taking place simultaneously. I have structured the book in this way. The major computing usually lies in the diffusion of substance, while the major program ming effort (and preparatory paper work) goes into the boundary conditions. These are treated separately.
This book explains how the partial differential equations (pdes) in electroanalytical chemistry can be solved numerically. It guides the reader through the topic in a very didactic way, by first introducing and discussing the basic equations along with some model systems as test cases systematically. Then it outlines basic numerical approximations for derivatives and techniques for the numerical solution of ordinary differential equations. Finally, more complicated methods for approaching the pdes are derived. The authors describe major implicit methods in detail and show how to handle homogeneous chemical reactions, even including coupled and nonlinear cases. On this basis, more advanced techniques are briefly sketched and some of the commercially available programs are discussed. In this way the reader is systematically guided and can learn the tools for approaching his own electrochemical simulation problems. This new fourth edition has been carefully revised, updated and extended compared to the previous edition (Lecture Notes in Physics Vol. 666). It contains new material describing migration effects, as well as arrays of ultramicroelectrodes. It is thus the most comprehensive and didactic introduction to the topic of electrochemical simulation.
This book is an extensive revision of the earlier book with the same title, 1981. The reader who has the first edition will recognise chapters 1-3 and parts of Chapt. 4; thereafter, there is little similarity. There are several reasons for this. Firstly, as one internal Danish publication stated, the first edition contained "et hav af smafejl" meaning (with some poetic license), a sea of troubles. I welcomed the opportunity of setting this right. Secondly, a number of readers rightly criticised my glib dismissal of problems connected with homogeneous chemical reactions in the first edition, now dealt with. Thirdly, digital simulation has not stood still since 1980 and this book reflects the newer developments such as orthogonal collocation, algorithms for the implicit boundary value calculations, as well as my own recent findings. Despite all this activity, no text has appeared to displace that of Feldberg (1969) or my first edition of 1981. My aim is to explain the subject clearly and simply. The electrochemist (or student) who occasionally needs to simulate a diffusion problem numerically but does not wish to go in for sophisticated methods, can make do with the first four chapters. Desk time is then traded for computer time. If this becomes excessive and/or the simulator's interest in more efficient techniques is aroused, Chapt. 5 provides an introduction. The easiest of these is the Runge-Kutta integration method, providing a modest but definite gain in efficiency at very small cost in terms of desk time.
This is the first textbook in the field of electrochemistry that will teach experimental electrochemists how to carry out simulation of electrode processes. Processes at both macro- and micro-electrodes are examined and the simulation of both diffusion-only and diffusion-convection processes are addressed. The simulation of processes with coupled homogeneous kinetics and at microelectrode arrays are further discussed. Over the course of the book the reader's understanding is developed to the point where they will be able to undertake and solve research-level problems. The book leads the reader through from a basic understanding of the principles underlying electrochemical simulation to the development of computer programs which describe the complex processes found in voltammetry.This is the third book in the “Understanding Voltammetry” series, published with Imperial College Press and written by the Compton group. Other books in the series include “Understanding Voltammetry”, written by Richard G Compton with Craig Banks and also “Understanding Voltammetry: Problems and Solutions” (2012) written by Richard G Compton with Christopher Batchelor-McAuley and Edmund Dickinson. These are and continue to be successful textbooks for graduates in electrochemistry and electroanalytical studies.
This is the first textbook in the field of electrochemistry that will teach experimental electrochemists how to carry out simulation of electrode processes. Processes at both macro- and micro-electrodes are examined and the simulation of both diffusion-only and diffusion-convection processes are addressed. The simulation of processes with coupled homogeneous kinetics and at microelectrode arrays are further discussed.Over the course of the book the reader's understanding is developed to the point where they will be able to undertake and solve research-level problems. The book leads the reader through from a basic understanding of the principles underlying electrochemical simulation to the development of computer programs which describe the complex processes found in voltammetry.This second edition has been revised throughout, and contains new material relating to random walks in electrochemistry, as well as expanded materials on the checking and validation of simulations, pulse techniques, and square wave voltammetry.
The new edition of the cornerstone text on electrochemistry Spans all the areas of electrochemistry, from the basicsof thermodynamics and electrode kinetics to transport phenomena inelectrolytes, metals, and semiconductors. Newly updated andexpanded, the Third Edition covers important new treatments, ideas,and technologies while also increasing the book's accessibility forreaders in related fields. Rigorous and complete presentation of the fundamentalconcepts In-depth examples applying the concepts to real-life designproblems Homework problems ranging from the reinforcing to the highlythought-provoking Extensive bibliography giving both the historical developmentof the field and references for the practicing electrochemist.
Electrochemistry can be an elegant and essential support to synthetic inorganic chemistry. However, it is often perceived as a difficult technique. This book aims to introduce inorganic chemists to electrochemical investigations in as straightforward a way as possible. First, the reader is introduced to the theory of electron transfer processes, how they can be studied by various electrochemical techniques, and the practical procedures required. The book then goes on to look extensively, and with numerous illustrations, at the application of the techniques in the multiple fields of inorganic chemistry (including organometallics, coordination compounds, bioinorganics/biomimetics and materials science). Topics covered include: metallocenes; organometallic and coordination complexes; metal complexes of redox active ligands; metal-carbonyl clusters; superconductors; molecular wires; and proteins. Throughout, special attention is paid to the structural effects accompanying the electron transfer processes. This unique book bridges the gap between undergraduate and research-level electrochemistry books, and will be welcomed as an introduction to electrochemical applications within inorganic chemistry.
This book describes the electrochemical behavior of supramolecular systems. Special emphasis will be given to the electrochemistry of host-guest complexes, monolayer and multilayer assemblies, dendrimers, and other supramolecular assemblies. A fundamental theme throughout the book is to explore the effects that supramolecular structure exerts on the thermodynamics and kinetics of electrochemical reactions. Conversely, attention will be placed to the various ways in which electrochemical or redox conversions can be utilized to control or affect the structure or properties of supramolecular systems. This first book on this topic will be of value for graduate students and advanced researchers in both electrochemistry and supramolecular chemistry.
It has been fashionable to describe electrochemistry as a discipline at the interface between the branches of chemistry and many other sciences. A perusal of the table of contents will affirm that view. Electrochemistry finds applications in all branches of chemistry as well as in biology, biochemistry, and engineering; electrochemistry gives us batteries and fuel cells, electroplating and electrosynthesis, and a host of industrial and technological applications which are barely touched on in this book. However, I will maintain that electrochemistry is really a branch of physical chemistry. Electrochemistry grew out of the same tradition which gave physics the study of electricity and magnetism. The reputed founders of physical chemistry-Arrhenius, Ostwald, and van't Hoff-made many of their contributions in areas which would now be regarded as electrochemistry. With the post-World War II capture of physical chemistry by chemical physicists, electrochemists have tended to retreat into analytical chemistry, thus defining themselves out of a great tradition. G. N. Lewis defined physical chemistry as "the study of that which is interesting." I hope that the readers of this book will find that electrochemistry qualifies.