{"product_id":"electrochemical-impedance-spectroscopy-9781118527399","title":"Electrochemical Impedance Spectroscopy","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eProvides fundamentals needed to apply impedance spectroscopy to a broad range of applications with emphasis on obtaining physically meaningful insights from measurements.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface to the Second Edition xvii\u003c\/p\u003e \u003cp\u003ePreface to the First Edition xix\u003c\/p\u003e \u003cp\u003eAcknowledgments xxiii\u003c\/p\u003e \u003cp\u003eThe Blind Men and the Elephant xxv\u003c\/p\u003e \u003cp\u003eA Brief Introduction to Impedance Spectroscopy xxix\u003c\/p\u003e \u003cp\u003eHistory of Impedance Spectroscopy xxxvii\u003c\/p\u003e \u003cp\u003e\u003cb\u003eI Background 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Complex Variables 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Why Imaginary Numbers? 3\u003c\/p\u003e \u003cp\u003e1.2 Terminology 4\u003c\/p\u003e \u003cp\u003e1.3 Operations Involving Complex Variables 5\u003c\/p\u003e \u003cp\u003e1.4 Elementary Functions of Complex Variables 16\u003c\/p\u003e \u003cp\u003eProblems 22\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Differential Equations 25\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Linear First-Order Differential Equations 25\u003c\/p\u003e \u003cp\u003e2.2 Homogeneous Linear Second-Order Differential Equations 29\u003c\/p\u003e \u003cp\u003e2.3 Nonhomogeneous Linear Second-Order Differential Equations 32\u003c\/p\u003e \u003cp\u003e2.4 Chain Rule for Coordinate Transformations 36\u003c\/p\u003e \u003cp\u003e2.5 Partial Differential Equations by Similarity Transformations 38\u003c\/p\u003e \u003cp\u003e2.6 Differential Equations with Complex Variables 42\u003c\/p\u003e \u003cp\u003eProblems 43\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Statistics 45\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Definitions 45\u003c\/p\u003e \u003cp\u003e3.2 Error Propagation 53\u003c\/p\u003e \u003cp\u003e3.3 Hypothesis Tests 59\u003c\/p\u003e \u003cp\u003eProblems 70\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Electrical Circuits 73\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Passive Electrical Circuits 73\u003c\/p\u003e \u003cp\u003e4.2 Fundamental Relationships 79\u003c\/p\u003e \u003cp\u003e4.3 Nested Circuits 80\u003c\/p\u003e \u003cp\u003e4.4 Mathematical Equivalence of Circuits 82\u003c\/p\u003e \u003cp\u003e4.5 Graphical Representation of Circuit Response 82\u003c\/p\u003e \u003cp\u003eProblems 85\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Electrochemistry 87\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Resistors and Electrochemical Cells 87\u003c\/p\u003e \u003cp\u003e5.2 Polarization Behavior for Electrochemical Systems 90\u003c\/p\u003e \u003cp\u003e5.3 Definitions of Potential 106\u003c\/p\u003e \u003cp\u003e5.4 Rate Expressions 107\u003c\/p\u003e \u003cp\u003e5.5 Transport Processes 111\u003c\/p\u003e \u003cp\u003e5.6 Potential Contributions 117\u003c\/p\u003e \u003cp\u003e5.7 Capacitance Contributions 120\u003c\/p\u003e \u003cp\u003e5.8 Further Reading 124\u003c\/p\u003e \u003cp\u003eProblems 125\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Electrochemical Instrumentation 127\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 The Ideal Operational Amplifier 127\u003c\/p\u003e \u003cp\u003e6.2 Elements of Electrochemical Instrumentation 129\u003c\/p\u003e \u003cp\u003e6.3 Electrochemical Interface 131\u003c\/p\u003e \u003cp\u003eProblems 135\u003c\/p\u003e \u003cp\u003e\u003cb\u003eII Experimental Considerations 137\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Experimental Methods 139\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Steady-State Polarization Curves 139\u003c\/p\u003e \u003cp\u003e7.2 Transient Response to a Potential Step 140\u003c\/p\u003e \u003cp\u003e7.3 Analysis in Frequency Domain 141\u003c\/p\u003e \u003cp\u003e7.4 Comparison of Measurement Techniques 154\u003c\/p\u003e \u003cp\u003e7.5 Specialized Techniques 155\u003c\/p\u003e \u003cp\u003eProblems 160\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Experimental Design 163\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Cell Design 163\u003c\/p\u003e \u003cp\u003e8.2 Experimental Considerations 168\u003c\/p\u003e \u003cp\u003e8.3 Instrumentation Parameters 181\u003c\/p\u003e \u003cp\u003eProblems 186\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIII Process Models 187\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Equivalent Circuit Analogs 189\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 General Approach 189\u003c\/p\u003e \u003cp\u003e9.2 Current Addition 190\u003c\/p\u003e \u003cp\u003e9.3 Potential Addition 196\u003c\/p\u003e \u003cp\u003eProblems 201\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Kinetic Models 203\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 General Mathematical Framework 203\u003c\/p\u003e \u003cp\u003e10.2 Electrochemical Reactions 205\u003c\/p\u003e \u003cp\u003e10.3 Multiple Independent Electrochemical Reactions 218\u003c\/p\u003e \u003cp\u003e10.4 Coupled Electrochemical Reactions 221\u003c\/p\u003e \u003cp\u003e10.5 Electrochemical and Heterogeneous Chemical Reactions 229\u003c\/p\u003e \u003cp\u003eProblems 235\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Diffusion Impedance 237\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Uniformly Accessible Electrode 238\u003c\/p\u003e \u003cp\u003e11.2 Porous Film 239\u003c\/p\u003e \u003cp\u003e11.3 Rotating Disk 249\u003c\/p\u003e \u003cp\u003e11.4 Submerged Impinging Jet 259\u003c\/p\u003e \u003cp\u003e11.5 Rotating Cylinders 262\u003c\/p\u003e \u003cp\u003e11.6 Electrode Coated by a Porous Film 264\u003c\/p\u003e \u003cp\u003e11.7 Impedance with Homogeneous Chemical Reactions 271\u003c\/p\u003e \u003cp\u003e11.8 Dynamic Surface Films 280\u003c\/p\u003e \u003cp\u003eProblems 290\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Impedance of Materials 291\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Electrical Properties of Materials 291\u003c\/p\u003e \u003cp\u003e12.2 Dielectric Response in Homogeneous Media 292\u003c\/p\u003e \u003cp\u003e12.3 Cole-Cole Relaxation 295\u003c\/p\u003e \u003cp\u003e12.4 Geometric Capacitance 295\u003c\/p\u003e \u003cp\u003e12.5 Dielectric Response of Insulating Non-Homogenous Media 297\u003c\/p\u003e \u003cp\u003e12.6 Mott-Schottky Analysis 298\u003c\/p\u003e \u003cp\u003eProblems 305\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Time-Constant Dispersion 307\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Transmission Line Models 307\u003c\/p\u003e \u003cp\u003e13.2 Geometry–Induced Current and Potential Distributions 325\u003c\/p\u003e \u003cp\u003e13.3 Electrode Surface Property Distributions 337\u003c\/p\u003e \u003cp\u003e13.4 Characteristic Dimension for Frequency Dispersion 358\u003c\/p\u003e \u003cp\u003e13.5 Convective Diffusion Impedance at Small Electrodes 359\u003c\/p\u003e \u003cp\u003e13.6 Coupled Charging and Faradaic Currents 365\u003c\/p\u003e \u003cp\u003e13.7 Exponential Resistivity Distributions 378\u003c\/p\u003e \u003cp\u003eProblems 381\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Constant–Phase Elements 383\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Mathematical Formulation for a CPE 383\u003c\/p\u003e \u003cp\u003e14.2 When is a Time–Constant Distribution a CPE? 384\u003c\/p\u003e \u003cp\u003e14.3 Origin of Distributions Resulting in a CPE 388\u003c\/p\u003e \u003cp\u003e14.4 Approaches for Extracting Physical Properties 389\u003c\/p\u003e \u003cp\u003e14.5 Limitations to the Use of the CPE 404\u003c\/p\u003e \u003cp\u003eProblems 406\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Generalized Transfer Functions 409\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Multi-Input\/Multi-Output Systems 409\u003c\/p\u003e \u003cp\u003e15.2 Transfer Functions Involving Exclusively Electrical Quantities 417\u003c\/p\u003e \u003cp\u003e15.3 Transfer Functions Involving Nonelectrical Quantities 422\u003c\/p\u003e \u003cp\u003eProblems 429\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Electrohydrodynamic Impedance 431\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Hydrodynamic Transfer Function 433\u003c\/p\u003e \u003cp\u003e16.2 Mass-Transport Transfer Function 436\u003c\/p\u003e \u003cp\u003e16.3 Kinetic Transfer Function for Simple Electrochemical Reactions 441\u003c\/p\u003e \u003cp\u003e16.4 Interface with a 2-D or 3-D Insulating Phase 442\u003c\/p\u003e \u003cp\u003eProblems 454\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIV Interpretation Strategies 455\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 Methods for Representing Impedance 457\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Impedance Format 459\u003c\/p\u003e \u003cp\u003e17.2 Admittance Format 468\u003c\/p\u003e \u003cp\u003e17.3 Complex-Capacitance Format 474\u003c\/p\u003e \u003cp\u003e17.4 Effective Capacitance 478\u003c\/p\u003e \u003cp\u003eProblems 482\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 Graphical Methods 483\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 Based on Nyquist Plots 484\u003c\/p\u003e \u003cp\u003e18.2 Based on Bode Plots 491\u003c\/p\u003e \u003cp\u003e18.3 Based on Imaginary Part of the Impedance 495\u003c\/p\u003e \u003cp\u003e18.4 Based on Dimensionless Frequency 496\u003c\/p\u003e \u003cp\u003e18.5 System–Specific Applications 502\u003c\/p\u003e \u003cp\u003e18.6 Overview 512\u003c\/p\u003e \u003cp\u003eProblems 515\u003c\/p\u003e \u003cp\u003e\u003cb\u003e19 Complex Nonlinear Regression 517\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19.1 Concept 517\u003c\/p\u003e \u003cp\u003e19.2 Objective Functions 519\u003c\/p\u003e \u003cp\u003e19.3 Formalism of Regression Strategies 521\u003c\/p\u003e \u003cp\u003e19.4 Regression Strategies for Nonlinear Problems 524\u003c\/p\u003e \u003cp\u003e19.5 Influence of Data Quality on Regression 527\u003c\/p\u003e \u003cp\u003e19.6 Initial Estimates for Regression 533\u003c\/p\u003e \u003cp\u003e19.7 Regression Statistics 533\u003c\/p\u003e \u003cp\u003eProblems 536\u003c\/p\u003e \u003cp\u003e\u003cb\u003e20 Assessing Regression Quality 539\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e20.1 Methods to Assess Regression Quality 539\u003c\/p\u003e \u003cp\u003e20.2 Application of Regression Concepts 540\u003c\/p\u003e \u003cp\u003eProblems 555\u003c\/p\u003e \u003cp\u003e\u003cb\u003eV Statistical Analysis 557\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e21 Error Structure of Impedance Measurements 559\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e21.1 Error Contributions 559\u003c\/p\u003e \u003cp\u003e21.2 Stochastic Errors in Impedance Measurements 560\u003c\/p\u003e \u003cp\u003e21.3 Bias Errors 566\u003c\/p\u003e \u003cp\u003e21.4 Incorporation of Error Structure 570\u003c\/p\u003e \u003cp\u003e21.5 Measurement Models for Error Identification 572\u003c\/p\u003e \u003cp\u003eProblems 583\u003c\/p\u003e \u003cp\u003e\u003cb\u003e22 The Kramers-Kronig Relations 585\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e22.1 Methods for Application 585\u003c\/p\u003e \u003cp\u003e22.2 Mathematical Origin 590\u003c\/p\u003e \u003cp\u003e22.3 The Kramers-Kronig in an Expectation Sense 601\u003c\/p\u003e \u003cp\u003eProblems 605\u003c\/p\u003e \u003cp\u003e\u003cb\u003eVI Overview 607\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e23 An Integrated Approach to Impedance Spectroscopy 609\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e23.1 Flowcharts for Regression Analysis 609\u003c\/p\u003e \u003cp\u003e23.2 Integration of Measurements, Error Analysis, and Model 610\u003c\/p\u003e \u003cp\u003e23.3 Application 613\u003c\/p\u003e \u003cp\u003eProblems 619\u003c\/p\u003e \u003cp\u003e\u003cb\u003eVII Reference Material 621\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA Complex Integrals 623\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Definition of Terms 623\u003c\/p\u003e \u003cp\u003eA.2 Cauchy-Riemann Conditions 625\u003c\/p\u003e \u003cp\u003eA.3 Complex Integration 627\u003c\/p\u003e \u003cp\u003eProblems 633\u003c\/p\u003e \u003cp\u003e\u003cb\u003eB Tables of Reference Material 635\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eC List of Examples 637\u003c\/p\u003e \u003cp\u003eList of Symbols 643\u003c\/p\u003e \u003cp\u003eReferences 655\u003c\/p\u003e \u003cp\u003eIndex 684\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":48866373108055,"sku":"9781118527399","price":100.76,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118527399.jpg?v=1722278339","url":"https:\/\/bookcurl.com\/products\/electrochemical-impedance-spectroscopy-9781118527399","provider":"Book Curl","version":"1.0","type":"link"}