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The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
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Quantum interference in polyenes.

Yuta Tsuji1, Roald Hoffmann1, Ramis Movassagh2

  • 1Department of Chemistry and Chemical Biology, Cornell University, Baker Laboratory, Ithaca, New York 14853, USA.

The Journal of Chemical Physics
|December 16, 2014
PubMed
Summary
This summary is machine-generated.

Quantum interference in polyenes significantly impacts molecular conductance. Adding carbons can turn conductance on or off, with implications for molecular switches and observable sign effects in Green's functions.

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Area of Science:

  • Quantum Chemistry
  • Molecular Electronics
  • Condensed Matter Physics

Background:

  • The Hückel model is a simplified approach to studying the electronic properties of conjugated systems.
  • Molecular conductance is influenced by quantum interference effects within the molecule.
  • Green's functions are essential tools for describing electron transport in nanoscale systems.

Purpose of the Study:

  • To investigate the quantum interference consequences of the zeroth Green's function in the Hückel model for molecular conductance.
  • To establish rules governing electrical transmission in polyenes based on molecular extension.
  • To explore the role of Green's function signs in observable interference phenomena.

Main Methods:

  • Derivation of the explicit form of the zeroth Green's function in the Hückel model.
  • Analysis of transmission rules for polyenes with varying carbon extensions.
  • Examination of Green's function matrix sign implications for molecular conductance.

Main Results:

  • Established rules for transmission based on even/odd carbon extensions in polyenes.
  • Demonstrated that molecular switches utilizing electrocyclic reactions can have the closed ring as the ON state.
  • Showed that Green's function signs have observable consequences, leading to constructive or destructive interference in multi-probe systems.

Conclusions:

  • The explicit form of the Green's function provides insights into quantum interference in molecular conductance.
  • The parity of carbon extensions dictates transmission behavior in polyenes.
  • Sign effects in Green's functions are physically significant and can be exploited for controlling interference in molecular devices.