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Spatial Separation of Molecular Conformers and Clusters
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Transition Flux Formula for the Electronic Coupling Matrix Element.

Muhammad A Hagras1, Alexei A Stuchebrukhov1

  • 1Department of Chemistry, University of California, One Shields Avenue, Davis, California 95616, United States.

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|April 1, 2015
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This study introduces a new derivation for electron transfer reactions, utilizing the Golden Rule and tunneling time concepts. The tunneling flux theory is applied to a specific enzyme system, offering insights into long-distance electron transfer mechanisms.

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Area of Science:

  • Physical Chemistry
  • Biophysical Chemistry
  • Quantum Mechanics

Background:

  • Electron transfer reactions are fundamental in biological and chemical processes.
  • Understanding the coupling matrix element is crucial for modeling reaction rates.
  • Long-distance electron transfer presents unique theoretical challenges.

Purpose of the Study:

  • To present a novel derivation of the transition flux formula for long-distance electron transfer.
  • To analyze the electronic Franck-Condon factor using the concept of tunneling time.
  • To apply and validate the tunneling flux theory on a relevant biological system.

Main Methods:

  • A new derivation based on the Golden Rule approach.
  • Incorporation of the electronic Franck-Condon factor and tunneling time.
  • Application to the (heme bL)/(heme bH) redox pair in ubiquinol:cytochrome c oxidoreductase.

Main Results:

  • A refined formula for the transition flux in electron transfer reactions.
  • Demonstration of tunneling time's role in the electronic Franck-Condon factor.
  • Comparison of tunneling flux theory results with experimental energy splitting and direct calculation methods.

Conclusions:

  • The new derivation provides a robust framework for studying electron transfer.
  • Tunneling time offers a valuable perspective for understanding electronic coupling.
  • The tunneling flux theory shows promise for analyzing complex biological redox systems.