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Related Concept Videos

Multi-Step Reactions02:31

Multi-Step Reactions

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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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Reaction Mechanisms: Rate-limiting Step Approximation01:29

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The rate-determining step, or RDS, in a chemical reaction is the slowest step that determines the overall reaction rate. It is identified by using the observed rate law and typically involves approximation methods like the RDS approximation or the steady-state approximation.In the RDS approximation, also known as the rate-limiting-step or equilibrium approximation, the reaction mechanism consists of one or more reversible reactions near equilibrium, followed by a slower RDS, and then one or...
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Consecutive Reactions01:22

Consecutive Reactions

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Consecutive reactions involve a sequence where the product of a preceding reaction becomes the reactant for the subsequent one. In a simple scheme, A transforms into B, which further reacts to form C, with rate constants k1 and k2, respectively. This concept is evident in the radioactive decay series. Assuming an initial state with only A present, the conservation of matter leads to three coupled differential equations, determining the concentrations of A, B, and C over time.The rate of change...
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Introduction to Chemical Reactions01:23

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All chemical reactions begin with a reactant, the general term for one or more substances entering the reaction. Sodium and chloride ions, for example, are the reactants in the production of table salt. One or more substances produced by a chemical reaction are called the product. Chemical reactions follow the law of conservation of mass, which means that matter cannot be created nor destroyed in a chemical reaction. The components of the reactants—the number of atoms and the...
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Reaction Mechanisms03:06

Reaction Mechanisms

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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.
For instance, the decomposition of ozone appears to follow a mechanism with two steps:
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Preparation of Epoxides03:00

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Overview
Epoxides result from alkene oxidation, which can be achieved by a) air, b) peroxy acids, c) hypochlorous acids, and d) halohydrin cyclization.
Epoxidation with Peroxy Acids
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Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
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Finding Chemical Reaction Paths with a Multilevel Preconditioning Protocol.

Seyit Kale1, Olaseni Sode2, Jonathan Weare3

  • 1Department of Chemistry, James Franck Institute, Institute for Biophysical Dynamics, Computation Institute, Department of Statistics, University of Chicago , Chicago, Illinois 60637, United States ; Department of Chemistry, James Franck Institute, Institute for Biophysical Dynamics, Computation Institute, Department of Statistics, University of Chicago , Chicago, Illinois 60637, United States.

Journal of Chemical Theory and Computation
|December 18, 2014
PubMed
Summary
This summary is machine-generated.

This study introduces a multilevel preconditioning scheme to accelerate quantum-chemical calculations for chemical reactions. The method significantly reduces computational costs for finding reaction pathways using density functional theory (DFT).

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Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Chemical reaction dynamics

Background:

  • Accurate quantum-chemical calculations for chemical reaction pathways are computationally expensive.
  • Existing methods require significant computational resources, limiting their application.

Purpose of the Study:

  • To demonstrate a multilevel preconditioning scheme for accelerating quantum-chemical string calculations.
  • To reduce the computational cost of finding minimum-energy paths for chemical reactions.

Main Methods:

  • Application of a multilevel preconditioning scheme to quantum-chemical string calculations.
  • Utilizing a semiempirical method to precondition density functional theory (DFT).
  • Finding minimum-energy paths for malonaldehyde tautomerization and chorismate to prephanate rearrangement.

Main Results:

  • The multilevel preconditioning scheme significantly accelerates quantum-chemical string calculations.
  • Preconditioning DFT with a semiempirical method reduced computational costs by several fold for converged reaction paths.
  • The method shows promise for accelerating free energy calculations under controlled thermal noise.

Conclusions:

  • Multilevel preconditioning is an effective strategy for accelerating the computation of chemical reaction pathways.
  • This approach offers a substantial reduction in computational cost for DFT-based reaction path calculations.
  • The method has potential applications in more complex calculations, including free energy studies.