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  1. Diffusion-controlled (or diffusion-limited) reactions are reactions in which the reaction rate is equal to the rate of transport of the reactants through the reaction medium (usually a solution). [1] The process of chemical reaction can be considered as involving the diffusion of reactants until they encounter each other in the right stoichiometry and form an activated complex which can form ...

  2. Nov 13, 2023 · We review the milestones in the century-long development of the theory of diffusion-controlled reactions. Starting from the seminal work by von Smoluchowski, who recognized the importance of diffusion in chemical reactions, we discuss perfect and imperfect surface reactions, their microscopic origins, and the underlying mathematical framework. Single-molecule reaction schemes, anomalous bulk ...

  3. Diffusion-controlled (or diffusion-limited) reactions are reactions in which the reaction rate is equal to the rate of transport of the reactants through the reaction medium (usually a solution). The process of chemical reaction can be considered as involving the diffusion of reactants until they encounter each other in the right stoichiometry and form an activated complex which can form the ...

  4. Diffusion-controlled (or diffusion-limited) reactions are reactions in which the reaction rate is equal to the rate of transport of the reactants through the reaction medium (usually a solution). [1] The process of chemical reaction can be considered as involving the diffusion of reactants until they encounter each other in the right stoichiometry and form an activated complex which can form ...

  5. reaction rate. The crucial role of diffusion was put forward by M. von Smoluchowski, who formulated in 1917 the first mathematical description of coagulation dynamics [3], which later became the cornerstone of the theory of diffusion-controlled reactions in a much broader context [4–10]. Examples of diffusion-controlled reactions include ...

  6. Association Rate. The diffusion-limited association rate is typically approximated from the expression for the relative diffusion of A and B with an effective diffusion constant D = D A + D B to within a critical encounter radius R 0 = R A + R B, as described earlier. ka = 4πR0f(DA +DB) (21.5.1) (21.5.1) k a = 4 π R 0 f (D A + D B) One can ...

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  8. Spin Effects in Diffusion-Controlled Reactions. For reactions between pairs of radicals (or other paramagnetic species) k = 4 π σ ( R + R )( D + D. diff A B A ) B. The spin factor accounts for spin pairing in chemical bonds.

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