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Related Concept Videos

Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
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Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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Thermal and Photochemical Electrocyclic Reactions: Overview01:26

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Electrocyclic reactions are reversible reactions. They involve an intramolecular cyclization or ring-opening of a conjugated polyene. Shown below are two examples of electrocyclic reactions. In the first reaction, the formation of the cyclic product is favored. In contrast, in the second reaction, ring-opening is favored due to the high ring strain associated with cyclobutene formation.
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Thermal Electrocyclic Reactions: Stereochemistry01:17

Thermal Electrocyclic Reactions: Stereochemistry

2.1K
The stereochemistry of electrocyclic reactions is strongly influenced by the orbital symmetry of the polyene HOMO. Under thermal conditions, the reaction proceeds via the ground-state HOMO.
Selection Rules: Thermal Activation
Conjugated systems containing an even number of π-electron pairs undergo a conrotatory ring closure. For example, thermal electrocyclization of (2E,4E)-2,4-hexadiene, a conjugated diene containing two π-electron pairs, gives trans-3,4-dimethylcyclobutene.
2.1K
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

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1.1K
Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
1.1K
Thermal Sigmatropic Reactions: Overview01:16

Thermal Sigmatropic Reactions: Overview

2.1K
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.
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in...
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Updated: Aug 28, 2025

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
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Thermally driven single-electron stochastic resonance.

Seiya Kasai1,2,3

  • 1Research Center for Integrated Quantum Electronics, Hokkaido University, North 13, West 8, Sapporo 060-0813, Japan.

Nanotechnology
|September 13, 2022
PubMed
Summary
This summary is machine-generated.

This study explores stochastic resonance (SR) in single-electron systems, finding optimal information processing occurs at specific temperatures. The new model accurately predicts device behavior, enhancing the design of single-electron systems.

Keywords:
GaAs nanowirenonlinearsingle electronstochastic resonancetheoretical modelthermal fluctuation

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Nanotechnology

Background:

  • Stochastic resonance (SR) typically relies on Kramers' rate for thermal noise effects.
  • Single-electron systems offer potential for precise information processing.
  • Understanding SR in single-electron systems is crucial for developing advanced electronic devices.

Purpose of the Study:

  • To investigate thermally driven stochastic resonance in single-electron systems.
  • To develop a new model for single-electron SR using tunneling rates.
  • To experimentally demonstrate single-electron SR in a practical device.

Main Methods:

  • Formulating the system's response using single-electron tunneling rates.
  • Developing a theoretical model for single-electron stochastic resonance.
  • Experimental validation using a GaAs-based single-electron system with a quantum dot and charge detector.

Main Results:

  • The developed model shows maximal system response at a finite temperature.
  • The peak position in the SR response is determined by the charging energy.
  • The model quantitatively reproduces results from a single-electron device simulator.
  • Experimental demonstration of single-electron SR was achieved.

Conclusions:

  • The new model accurately describes single-electron stochastic resonance.
  • This work advances the understanding of information processing in single-electron systems.
  • The findings facilitate the prediction, design, and control of single-electron devices.