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Related Concept Videos

Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

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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.
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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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Spin–Spin Coupling: Three-Bond Coupling (Vicinal Coupling)01:22

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Vicinal or three-bond coupling is commonly observed between protons attached to adjacent carbons. Here, nuclear spin information is primarily transferred via electron spin interactions between adjacent C‑H bond orbitals. This generally favors the antiparallel arrangement of spins, so 3J values are usually positive.
The extent of coupling depends on the C‑C bond length, the two H‑C‑C angles, any electron-withdrawing substituents, and the dihedral angle between the...
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Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
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NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

1.4K
The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
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Magnetically controlled quantum thermal devices via three nearest-neighbor coupled spin-1/2 systems.

Yi-Jia Yang1, Yu-Qiang Liu1, Zheng Liu1

  • 1School of Physics, Dalian University of Technology, Dalian 116024, China.

Physical Review. E
|February 17, 2024
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Summary

This study proposes a quantum thermal device using coupled spin systems. Magnetic fields control heat current, enabling perfect thermal modulation and enhanced transistor amplification.

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Area of Science:

  • Quantum thermodynamics
  • Condensed matter physics
  • Spin systems

Background:

  • Quantum thermal devices offer novel ways to control energy transport.
  • Spin-1/2 systems provide a platform for quantum information and thermodynamics.

Purpose of the Study:

  • To propose and analyze a quantum thermal device based on three coupled spin-1/2 systems.
  • To investigate the device's steady-state thermal behaviors and control capabilities.
  • To explore its potential as a thermal modulator and transistor.

Main Methods:

  • Theoretical modeling of a three-spin system coupled to thermal reservoirs.
  • Analysis of steady-state heat current under magnetic field control.
  • Investigation of system behavior with longitudinal and transverse magnetic fields.

Main Results:

  • The system acts as a perfect thermal modulator, blocking heat current with a longitudinal magnetic field.
  • Thermal modulation is achievable even with a third reservoir perturbing the middle spin.
  • A transverse field allows control over heat current by separating the system into subspaces.
  • Enhanced transistor amplification behaviors are observed with magnetic field control.

Conclusions:

  • The proposed quantum thermal device offers versatile control over heat current.
  • Magnetic field manipulation enables perfect thermal modulation and transistor functionalities.
  • This work opens avenues for advanced quantum thermal management and devices.