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Related Concept Videos

Interference: Path Lengths01:10

Interference: Path Lengths

Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Interference and Superposition of Waves01:07

Interference and Superposition of Waves

When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect of the waves is the sum of the individual waves' effects. However, it does not imply that the individual waves affect the propagation of other waves.
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
Sound Waves: Interference00:53

Sound Waves: Interference

Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...
Propagation of Waves01:07

Propagation of Waves

When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Interference and Diffraction02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
π Electron Effects on Chemical Shift: Overview01:27

π Electron Effects on Chemical Shift: Overview

An applied magnetic field causes loosely bound π-electrons in organic molecules to circulate, producing a local or induced diamagnetic field over a large spatial volume. As the molecules tumble in solution, the field generated by π-electrons in spherical substituents results in a zero net field. However, the net field generated by π-electrons in non-spherical substituents is not zero. The effect of this induced field depends on the orientation of the molecule with respect to B0, resulting in...

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High Resolution Phonon-assisted Quasi-resonance Fluorescence Spectroscopy
10:40

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Published on: June 28, 2016

Phonon-mediated path-interference in electronic energy transfer.

Hoda Hossein-Nejad1, Alexandra Olaya-Castro, Gregory D Scholes

  • 1Department of Physics, University of Toronto, 60 St. George St., Toronto, Ontario M5S 1A7, Canada.

The Journal of Chemical Physics
|January 21, 2012
PubMed
Summary
This summary is machine-generated.

We developed a method to quantify path-interference in phonon-mediated energy transfer between molecules. This quantum mechanical approach reveals interference effects that significantly impact energy transfer rates.

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Area of Science:

  • Quantum mechanics
  • Chemical physics
  • Spectroscopy

Background:

  • Phonon-mediated electronic energy transfer is crucial in molecular systems.
  • Understanding quantum interference effects is essential for accurate rate calculations.

Purpose of the Study:

  • To develop a formalism for quantifying path-interference in phonon-mediated electronic energy transfer.
  • To investigate the impact of interference on transfer rates.

Main Methods:

  • Quantum mechanical amplitude calculations for pathways between molecular sites.
  • Modeling vibrational modes as a non-Markovian harmonic oscillator bath.
  • Analysis of lowest-order interference contributions.

Main Results:

  • A formalism to compute transfer rates considering both classical and interference pathways.
  • Interference corrections can exhibit dominant vibrational or electronic character.
  • Path-interference makes a notable contribution to steady-state transfer rates.

Conclusions:

  • Path-interference is a significant factor in phonon-mediated electronic energy transfer.
  • The developed formalism provides deeper insights into energy transfer dynamics.
  • Interference effects are tunable by the harmonic bath structure.