
Diffusion-Limited Reactions
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Content
- Front Cover
- Diffusion-limited Reactions, Volume 25
- Copyright Page
- Contents
- Preface
- Chapter 1. Introduction
- Chapter 2. Diffusion-controlled reactions in solution
- 1. Introduction
- 2. Evidence that some reactions are diffusion-controlled
- 3. The smoluchowski theory
- 4. The incorporation of chemical reaction rates into the diffusion model
- 5. A comparison of Experimental results with the smoluchowski theory
- 6. Complications to the dimple diffusion model
- Chapter 3. Reactions between Ions in solution
- 1. Theoretical considerations for Ionic reactions in solutions
- 2. Experimental studies of Ionic reactions in solution
- Chapter 4. Long-range transfer effects and diffusion-controlled reactions
- 1. General theoretical considerations
- 2. The dipole-dipole interaction
- 3. The exchange effect
- 4. Electron tunnelling
- 5. Conclusions
- Chapter 5. Rotational diffusion effects
- 1. Introduction
- 2. Theoretical aspects of rotational relaxation
- 3. Experimental studies of rotational relaxation
- 4. Simultaneous rotational and translational diffusion
- Chapter 6. The escape probability of an isolated pair
- 1. Introduction
- 2. Geminate radical recombination. Theory
- 3. Experimental studies of radical and molecular recombination
- 4. The effect of a magnetic field on radical pair recombination
- Chapter 7. Geminate ion-pair recombination
- 1. Introduction
- 2. Theory of recombination of ion-pairs
- 3. Experimental studies of geminate ion-pair recombination
- 4. Spurs produced by high-energy radiation
- Chapter 8. A critique of the diffusion equation and molecular pair treatments
- 1. Introduction
- 2. Diffusion equation analysis
- 3. Molecular pair analysis
- 4. Conclusions, for future work
- Chapter 9. Refinements to the diffusion equation analysis to include many-body effects
- 1. Introduction
- 2. The diffusion of an isolated pair
- 3. Hydrodynamic repulsion and the diffusion equation
- 4. The wilemski and fixman theory of fluorescence quenching
- 5. Competitive effects in reactions
- 6. The density and survival probability of radicals and ions in clusters
- Chapter 10. The variational principle
- 1. Introduction
- 2. The lagrangian density
- 3. Rate coefficients from the variational principle
- 4. Diffusion on a cubic lattice of sinks
- 5. Further estimates of the rate coefficient
- 6. Conclusions
- Chapter 11. Phenomenological brownian motion
- 1. Introduction
- 2. The velocity autocorrelation function
- 3 . From the Langevin equation to the diffusion equation
- 4. The generalised langevin equation and chemical reactions
- 5. Computer simulations
- Chapter 12. The kinetic theory applied to chemical reactions in solutions
- 1. Introduction
- 2. The kinetic theory of fluids
- 3. The rate of a chemical reaction from the kinetic theory of fluids
- 4. Extensions to the Kinetic Theory
- Appendix a second-order partial differential equations and Green's functions
- 1. Dirac delta functions
- 2. Inhomogeneous second-order (partial) differential equations
- 3. The green's theorem and function
- 4. The green's Function for the debye-smoluchowski equation
- 5. Green's theorem and the variation of parameters
- 6. Causality
- 7. Reciprocity
- Appendix B. The relationship Between the Lifetime distribution and the diffusion equation
- 1. The lifetime distribution
- 2. The average scavenging probability
- 3. Averaging over the initial distribution
- 4. Towards the diffusion equation analysis
- Appendix C. The molecular pair approach
- Appendix D. The general equation of reaction kinetics
- Acknowledgements
- References
- Index
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