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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.
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Sigmatropic rearrangements are a class of pericyclic reactions in which a σ bond migrates from one part of a π system to another. These are intramolecular rearrangements where the total number of σ and π bonds remain unchanged.
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Free expansion of a gas is an adiabatic process. However, there are few differences between free expansion and adiabatic expansion. During free expansion, no work is done, and there is no change in internal energy. But, for an adiabatic expansion, work is done, and there is a change in internal energy. During an adiabatic process, the relation between the pressure and volume is obtained from the condition for the adiabatic process, that is, 
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The Collision Theory
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Clausius-Clapeyron Equation02:35

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The equilibrium between a liquid and its vapor depends on the temperature of the system; a rise in temperature causes a corresponding rise in the vapor pressure of its liquid. The Clausius-Clapeyron equation gives the quantitative relation between a substance’s vapor pressure (P) and its temperature (T); it predicts the rate at which vapor pressure increases per unit increase in temperature.
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When an ideal gas is compressed adiabatically, that is, without adding heat, work is done on it, and its temperature increases. In an adiabatic expansion, the gas does work, and its temperature drops. Adiabatic compressions actually occur in the cylinders of a car, where the compressions of the gas-air mixture take place so quickly that there is no time for the mixture to exchange heat with its environment. Nevertheless, because work is done on the mixture during the compression, its...
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Updated: Jun 11, 2025

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Statistical adiabatic channel model for termolecular reactions.

J Pérez-Ríos1

  • 1Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA and Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, Germany.

The Journal of Chemical Physics
|October 8, 2024
PubMed
Summary
This summary is machine-generated.

We developed a statistical model for termolecular reactions (A + B + C → Products) using hyperspherical coordinates. The model accurately predicts reaction rate constants, particularly the temperature dependence for ion-neutral association reactions.

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Area of Science:

  • Chemical Kinetics
  • Theoretical Chemistry
  • Statistical Mechanics

Background:

  • Termolecular reactions are crucial in various chemical processes.
  • Accurate theoretical models are needed to predict reaction rates.
  • Existing models may not fully capture the complexity of termolecular reactions.

Purpose of the Study:

  • To introduce a novel statistical adiabatic channel model for termolecular reactions.
  • To provide a general expression for calculating termolecular rate constants.
  • To validate the model's accuracy and predictive capabilities.

Main Methods:

  • Utilizing hyperspherical coordinates for reaction analysis.
  • Averaging hyperangular degrees of freedom to define adiabatic channels.
  • Applying the model to ion-neutral association reactions.

Main Results:

  • A general expression for termolecular rate constants was derived.
  • The model shows good agreement with experimental data.
  • Excellent agreement was found for the temperature dependence of ion-neutral association reactions.

Conclusions:

  • The statistical adiabatic channel model is a reliable tool for studying termolecular reactions.
  • The model accurately predicts reaction rates and their temperature dependence.
  • This approach offers valuable insights into ion-neutral association reaction mechanisms.