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Reaction Mechanisms and Molecular Kinetics

Manual: General · Subject: Molecular Science

Analyze reaction pathways, transition states, and rate theory in complex molecular systems.

From Potential Surfaces to Rates

Transition State Theory

Reaction rates can often be approximated by transition state theory,<br>k=kBThe−ΔG‡/(RT),k = \frac{k_B T}{h} e^{-\Delta G^\ddagger/(RT)},<br>where ΔG‡\Delta G^\ddagger is the activation free energy. This connects molecular structure to kinetic observables.

Mechanistic Concepts

Mechanistic analysis identifies intermediates, transition states, rate-determining steps, and competing pathways. For solution-phase and biomolecular chemistry, kinetics are influenced by diffusion, solvation, conformational gating, and dynamic disorder.

Kinetic Terms

Rate constant
Proportionality constant linking rate to concentration terms
Activation free energy
Free-energy barrier controlling thermal rate
Hammett relationship
Correlation between substituent effects and reactivity
Kinetic isotope effect
Rate change due to isotopic substitution

In transition state theory, which quantity most directly controls the exponential factor in the rate constant?

What is the purpose of identifying a transition state?

Energy Terms in Mechanisms

Potential energy barrier

  • Electronic-structure based
  • Useful for gas-phase paths

Free-energy barrier

  • Includes entropy and solvent effects
  • More relevant to observed rates

Kinetic Isotope Effects

Replacing hydrogen with deuterium changes vibrational zero-point energies and tunneling probabilities, often altering reaction rates. Such effects are powerful probes of bond breaking, proton transfer, and tunneling-driven mechanisms.

Mechanistic Investigation Workflow

  1. 1

    Map the potential or free-energy landscape.

  2. 2

    Locate minima, transition states, and competing channels.

  3. 3

    Compute or measure rate constants across conditions.

  4. 4

    Test isotopic, substituent, or solvent effects.

  5. 5

    Refine the mechanism until it explains all observables.