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While the differential rate law relates the rate and concentrations of reactants, a second form of rate law called the integrated rate law relates concentrations of reactants and time. Integrated rate laws can be used to determine the amount of reactant or product present after a period of time or to estimate the time required for a reaction to proceed to a certain extent. For example, an integrated rate law helps determine the length of time a radioactive material must be stored for its...
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Reactions proceed through multi-step mechanisms, where each elementary step is a single process and intermediates appear only between successive steps.Elementary reactions are categorized by molecularity which is the number of molecules reacting in one step.For example, unimolecular reactions involve one molecule, bimolecular reactions involve two, and termolecular reactions involve three; higher molecularity reactions are rarer because simultaneous multi-molecule collisions are unlikely.The...
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Chemical reactions often occur in a stepwise fashion involving two or more distinct reactions taking place in a sequence. A balanced equation indicates the reacting species and the product species, but it reveals no details about how the reaction occurs at the molecular level. The reaction mechanism (or reaction path) provides details regarding the precise, step-by-step process by which a reaction occurs. Each of the steps in a reaction mechanism is called an elementary reaction. These...
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The rate of a reaction is affected by the concentrations of reactants. Rate laws (differential rate laws) or rate equations are mathematical expressions describing the relationship between the rate of a chemical reaction and the concentration of its reactants.
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The intrinsic rate constants in diffusion-influenced reactions.

Adithya Vijaykumar1, Peter G Bolhuis2, Pieter Rein Ten Wolde3

  • 1FOM Institute AMOLF, Science Park 104, 1098 XE Amsterdam, The Netherlands. tenwolde@amolf.nl and van't Hoff Institute for Molecular Sciences, University of Amsterdam, PO Box 94157, 1090 GD Amsterdam, The Netherlands. p.g.bolhuis@uva.nl.

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This study provides microscopic expressions for intrinsic rate constants in diffusion-influenced reactions. These rates are crucial for modeling complex processes and can be computed efficiently using rare event simulations.

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Area of Science:

  • Chemical Kinetics
  • Physical Chemistry
  • Computational Chemistry

Background:

  • Intrinsic rate constants are fundamental in diffusion-influenced reaction theories but often treated as abstract.
  • Accurate modeling of complex chemical processes necessitates explicit knowledge of these intrinsic rates.

Purpose of the Study:

  • To derive microscopic expressions for intrinsic rate constants governing association and dissociation.
  • To demonstrate efficient computation of these rates using rare event simulations.
  • To investigate the influence of orientational dynamics in anisotropic potentials.

Main Methods:

  • Derivation of microscopic expressions for rate constants.
  • Application of rare event simulation techniques for efficient computation.
  • Analysis of orientational dynamics for anisotropic interactions.

Main Results:

  • Microscopic expressions for intrinsic rate constants are provided for isotropic interactions.
  • Rare event simulations demonstrate efficient computation of these rates.
  • The impact of orientational dynamics on anisotropic potentials is addressed.

Conclusions:

  • Explicit microscopic expressions for intrinsic rate constants are now available.
  • Rare event simulations offer an efficient pathway for their computation.
  • Understanding orientational dynamics is key for anisotropic systems.