Description: PrefaceAcknowledgmentsAbout the CoverChapter 1. Introduction 1.0. Brownian Motion 1.1. Brief History of Dynamic Light Scattering 1.2. Time Scales 1.3. Organization of the Textbook 1.4. NomenclatureChapter 2. Basic Concepts of Light Scattering 2.0. Introduction Part I. Interaction of Light with Matter 2.1. The Nature of Light 2.2. The Electrical Nature of Matter 2.3. The Scattered Electric Field 2.4. Fluctuations in the Polarizability Part II. Total Intensity Light Scattering 2.5. Total (Integrated) Intensity of Scattered Light 2.6. Light Scattering by Small, Noninteracting Particles 2.7. Light Scattering by Large, Noninteracting Particles 2.8. Light Scattering by Small, Interacting Particles 2.9. Light Scattering by Large, Interacting Particles: One-Contact Approximation 2.10. Solution Structure Factor Part III. Dynamic Light Scattering 2.11. Time-Dependent Total Intensity 2.12. Electric Field and Intensity Correlation Functions 2.13. Center-of-Mass Diffusion 2.14. Effect of ratio Cp/K3 on Dm 2.15. Osmotic Susceptibility Correction 2.16. Dynamic Light Scattering by Absorbing Molecules 2.17. Evaluation of Summary Problems Additional ReadingChapter 3. Translational Diffusion--Hydrodynamic Dissipation 3.0. Introduction 3.1. Macroscopic Description of Mass Transport 3.2. Dm and the Osmotic Susceptibility 3.3. Effect of External Field--Sedimentation 3.4. Friction Factors Associated with DTr and Dm 3.5. Determination of the Molecular Weight 3.6. Determination of the Equivalent Hydrodynamic Shape of Regular Solids 3.7. Determination of the Equivalent Hydrodynamic Shape of Irregular Rigid Structures 3.8. Anisotropic Translational Diffusion of Cylinders 3.9. Diffusion of Random-Flight, Linear Molecules 3.10. Diffusion of Linear Polymers under Theta Conditions 3.11. Excluded Volume--The Flory Limit 3.12. Excluded Volume Effect on Translational Diffusion of Linear Molecules 3.13. Flexible Circular Molecules 3.14. Flexible Branched Molecules and Stars 3.15. Crossover Exponential, Phase Separation, and Chain Dimensionality Summary Problems Additional ReadingChapter 4. Multiple Decay Analysis of the Correlation Function 4.0. Introduction 4.1. Effect of Polydispersity on the Scattering Amplitudes 4.2. Single/Double Exponential Analysis 4.3. Cumulant Analysis 4.4. Asymptotic Analysis Method 4.5. Expansion Methods Applied to Simulated Data 4.6. Lambda Depression Analysis 4.7. Z-Transform and Method of Spike Recovery 4.8. Linear Programming Method 4.9. Inverse Laplace Transform Methods--General Comments 4.10. Overlay Histogram Method with Exponential Sampling 4.11. Contin and Discrete 4.12. Effect of Noise on the Analysis of C(K, t) 4.13. Multiple Scattering--Diffusing Wave Spectroscopy Summary Problems Additional ReadingChapter 5. Dilute to Congested Solutions of Rods and Flexible Coils 5.0. Introduction 5.1. The Autocorrelation Function 5.2. The Cylindrical Particle--General Development 5.3. Centrosymmetric Particles--The Rigid Rod for KL < 1 5.4. Centrosymmetric Particles--The Rigid Rod for KL 1 5.5. Irregular-Shaped Particles with Cylindrical Symmetry 5.6. Semi-flexible Linear Polymers 5.7. The Continuum Model for Linear Polymers 5.8. The Discrete Model for Linear Polymers 5.9. The Correlation Function for Flexible Coils 5.10. Estimation of the Rouse-Zimm Parameters 5.11. Internal Modes for Circular DNA--The Soda Model 5.12. Effect of Hydrodynamic Interaction on S(K,?) 5.13. Intermediate K Region 5.14. Brownian Dynamics Calculations 5.15. Semidilute Solution Regime for Flexible Polymers: The Blob Model 5.16. Linear Polymers in Concentrated Solutions, Gels, and Melts: The Reptation Model 5.17. The Crossover Model for Congested Polymer Solutions 5.18. Universal Scaling Curves for the Correlation Lengths 5.19. Probe Diffusion in a Polymer Matrix 5.20. Stretched Exponential Representation of Polymer Solutions and Melts 5.21. Computer Simulation of Kolinski, Skolnick, and Yaris for Congested Solution Motion 5.22. Polymer Melts and the Glass Transition 5.23. Rigid and Semiflexible Rods in Congested Solutions 5.24. Computer Simulations of Congested Solutions of Rods Summary Problems Additional ReadingChapter 6. Hydrodynamic and Short-Range Interparticle Interactions 6.0. Introduction 6.1. The Generalized Langevin Equation 6.2. The Stokes Solvent Flow Field Due to an Isolated Sphere 6.3. The Stokes Friction Factor and Faxn''s Theorem 6.4. Transmission of the Indirect Interaction 6.5. Time-Dependent Diffusion Coefficients 6.6. K-Dependence of the Initial Decay Rate of G1(K,t) 6.7. Lowest-Order Correction to Dm for Identical Spheres: the Batchelor and the Anderson-Reed Models 6.8. Higher-Order Pairwise Interaction Terms: The Method of Reflections 6.9. Effect of Divergent Terms on Dm 6.10. Concentrated Solutions: The Method of Induced Forces 6.11. Evaluation of 6.12. Evaluation of 6.13. Dself and the Glass Transition for Hard Spheres 6.14. Are Hydrodynamic Interactions Screened? 6.15. Evaluation of 6.16. Tertiary Solutions of Hard Spheres 6.17. Is Macavity There? Summary ProblemsChapter 7. Polyelectrolyte Solutions 7.0. Introduction 7.1. The Poisson-Boltzmann Equation and the Debye-Hckel Screening Length 7.2. Statistical Properties of Electrolyte Systems 7.3. Small Ion-Polyion Coupled Modes: General Framework 7.4. Small Ion-Polyion Coupled Modes: K = 0 Limit 7.5. Dapp(K)/Dapp(K = 0) v. K for Weakly Coupled Polyelectrolytes 7.6. Inclusion of Hydrodynamic Interaction: The Belloni-Drifford Model for Polyelectrolyte Solutions 7.7. Dynamic Attenuation 7.8. Electrolyte Dissipation 7.9. Polyelectrolyte Dissipation 7.10. Counterion Condensation--the Manning Theory 7.11. Small-Ion Distribution about Charged Rods, Planes, and Spheres 7.12. The Electrostatic Contribution to the Persistence Length of Flexible Polyelectrolytes 7.13. Composite Diffusion Coefficient for Flexible Polyions in the Debye-Hckel Limit 7.14. Semidilute Regime for Polyelectrolytes: Scaling Laws 7.15. Effect of Small Ions on the Scattering Power of Polyelectrolytes Summary ProblemsChapter 8. Colloids 8.0. Introduction 8.1. The Electric Double Layer 8.2. The Stern Layer 8.3. The Gouy Region and the Debye-Hckel Region 8.4. General Features of the Problem of the Interaction between Charged Surfaces 8.5. The Double Layer above Spherical and Planar Surfaces 8.6. Classical DLVO: Repulsive Interaction between Spheres in Asymptotic Limits of ap/?DH 8.7. Classical DLVO: Hamaker Expression for the van der Waals-London Attractive Interaction 8.8. Properties of the Classical DLVO Potential 8.9. Applications of the DLVO Potential to Real Systems 8.10. Analytical Expression for S(K ?R) for the Hard Sphere Potential in the Percus-Yevick Approximation 8.11. Beyond the Classical DLVO Potential 8.12. Diffusion in Structured Colloidal Suspensions 8.13. Fractal Objects 8.14. "How Long is the Coast of Britain?" 8.15. Diffusion versus Activation Control in Bimolecular Solution Kinetics 8.16. Equilibrium and Kinetics Distribution of Cluster Sizes for Diffusion-Limited Aggregation 8.17. Time Evolution of the Number of Clusters for Irreversible Aggregation 8.18. Static Scattering Properties of Colloidal Aggregates 8.19. Dynamic Light Scattering by Colloidal Aggregates 8.20. Orientation Constraints on DLA Kinetics 8.21. Computer Simulation of Colloidal Aggregation Summary Problems Additional ReadingChapter 9. External Perturbations 9.0. Introduction 9.1. General Mathematical Framework 9.2. The Zeta Potential 9.3. Electrophoretic Mobility and the Zeta Potential 9.4. The Effect of Nonuniform Distribution and Electric Field Strength-Dependent Zeta Potentials 9.5. Application of a Constant Electric Field: Doppler Shift Spectroscopy (DSS) 9.6. Application of a Periodic Pulsed Electric Field--PPEF 9.7. Application of a Sinusoidal Electric Field--QELS-SEF 9.8. Frequency and Field Strength Dependent Dpsef and p 9.9. Sinusoidal Enhancement of Correlated Structures--SECS 9.10. A Comparison of DSS, PPEF, and QELS-SEF Techniques 9.11. Hydrodynamic Fields: Constant and Oscillatory Solvent Flow 9.12. Mechanical Excitation of Gels 9.13. Diffusion under High-Pressure Conditions 9.14. Reaction Kinetics Summary ProblemsChapter 10. Dynamic Light Scattering from Complex Media 10.0. Introduction 10.1. Splitting of Relaxation Modes for DNA Fragments as a Function of Ionic Strength 10.2. Splitting of Relaxation Modes of Highly Polymerized DNA 10.3. "Ordering" in Polyelectrolyte Solutions 10.4. The Ordinary-Extraordinary Transition--Jeu du Molcules Somnolentes Additional ReadingAppendix A. Mathematical NotationAppendix B. Structure Factors for Multicomponent SystemsAppendix C. The Ornstein-Zernike Relation and the Pair Distribution FunctionAppendix D. MSA and RMSA Solution to the Ornstein-Zernike RelationshipAppendix E. The Medina-Noyola Formalism for the Tracer Friction FactorGlossaryBibliographyIndex

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