Understanding Voltammetry : Simulation of Electrode Processes

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Understanding Voltammetry : Simulation of Electrode Processes

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  • 製本 Hardcover:ハードカバー版/ページ数 249 p.
  • 言語 ENG
  • 商品コード 9781783263233
  • DDC分類 541.37

Full Description


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.

Table of Contents

Preface                                            v
1 Introduction 1 (24)
1.1 Electrochemical Systems 2 (17)
1.2 Voltammetric Techniques 19 (1)
1.3 Finite Difference Methods 20 (2)
1.4 Voltammetry: A Selected Bibliography 22 (1)
References 23 (2)
2 Mathematical Model of an Electrochemical 25 (20)
System
2.1 Cyclic Voltammetry 25 (3)
2.2 Diffusion: Fick's Second Law 28 (4)
2.3 Boundary Conditions 32 (2)
2.4 Current 34 (1)
2.5 Dimensionless Coordinates 35 (7)
2.6 Summary 42 (1)
References 43 (2)
3 Numerical Solution of the Model System 45 (26)
3.1 Finite Differences 45 (5)
3.2 Time Evolution: Discretising Fick's 50 (4)
Second Law
3.3 The Thomas Algorithm 54 (3)
3.4 Simulation Procedure 57 (4)
3.5 Checking Results 61 (5)
3.6 Performance and Runtime Analysis 66 (3)
References 69 (2)
4 Diffusion-Only Electrochemical Problems in 71 (28)
One-Dimensional Systems
4.1 Unequally Spaced Grids 71 (10)
4.2 Finite Electrode Kinetics 81 (6)
4.3 Unequal Diffusion Coefficients 87 (3)
4.4 Other One-Dimensional Electrode Geometries 90 (6)
References 96 (3)
5 First-Order Chemical Kinetic Mechanisms 99 (24)
5.1 First-Order ECirre Mechanism: Basic 99 (8)
Concepts
5.2 First-Order Catalytic Mechanism: Coupled 107(5)
Equation Systems
5.3 LU Decomposition and Extended Thomas 112(2)
Algorithm
5.4 First-Order ECrev Mechanism: Including a 114(2)
Third Species
5.5 Multiple-Electron Transfer Processes 116(3)
5.6 Heterogeneous Chemical Processes 119(2)
References 121(2)
6 Second-Order Chemical Kinetic Mechanisms 123(22)
6.1 Second-Order Catalytic Mechanism: The 123(8)
Newton-Raphson Method
6.2 Multiple-Electron Transfers: Adaptive 131(5)
Spatial Grids
6.3 Adsorption 136(7)
References 143(2)
7 Electrochemical Simulation in Weakly 145(16)
Supported Media
7.1 The Nernst-Planck-Poisson Problem 146(7)
7.2 Weakly Supported Cyclic Voltammetry and 153(5)
Chronoamperometry
References 158(3)
8 Hydrodynamic Voltammetry 161(14)
8.1 Rotating Disc Electrode 163(6)
8.2 Channel Electrode 169(5)
References 174(1)
9 Two-Dimensional Systems: Microdisc Electrodes 175(26)
9.1 Microdisc Electrodes: The Model 175(6)
9.2 Numerical Solution 181(10)
9.3 Implementation 191(3)
9.4 Microband Electrodes 194(4)
References 198(3)
10 Heterogeneous Surfaces 201(28)
10.1 Arrays of Microdisc Electrodes 202(14)
10.2 Microband Arrays 216(6)
10.3 Porous Electrodes 222(3)
10.4 Conclusion 225(1)
References 225(4)
Appendix A.: Review of C++ 229(10)
A.1 Hello World 229(2)
A.2 Variables, Types and Operators 231(3)
A.3 Logic and Program Control 234(2)
A.4 Functions 236(2)
References 238(1)
Appendix B: Microdisc Program 239(8)
References 246(1)
Index 247