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Related Concept Videos

Atomic Nuclei: Types of Nuclear Relaxation01:28

Atomic Nuclei: Types of Nuclear Relaxation

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Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers...
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Atomic Nuclei: Nuclear Relaxation Processes01:23

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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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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 Spin01:08

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All atomic particles possess an intrinsic angular momentum, or 'spin'. Electrons, protons, and neutrons each have a spin value of ½, although protons and neutrons in nuclei may have higher half-integer spins owing to energetic factors.
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In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
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A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n tiny particles, the angular momentum of any tiny particle may change, but the system's total angular momentum would remain constant. The principle of conservation of angular momentum only considers the net external torque acting on the system. While there are internal forces exerted by different particles within the system that also produce...
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Measuring the Spin-Lattice Relaxation Magnetic Field Dependence of Hyperpolarized [1-13C]pyruvate
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Bath-Induced Spin Inertia.

Mario Gaspar Quarenta1, Mithuss Tharmalingam1,2, Tim Ludwig1,3

  • 1Institute for Theoretical Physics, <a href="https://ror.org/04pp8hn57">Utrecht University</a>, Princetonplein 5, 3584 CC Utrecht, The Netherlands.

Physical Review Letters
|October 11, 2024
PubMed
Summary
This summary is machine-generated.

Recent experiments reveal inertial spin dynamics, challenging the traditional massless model. This study shows spin-to-bath coupling universally induces spin inertia, offering new insights into spin dynamics and dissipation.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Spintronics

Background:

  • Traditional models describe spin dynamics as massless, lacking inertia.
  • Recent experimental findings suggest the existence of inertial spin dynamics.
  • This necessitates a fundamental re-evaluation of spin dynamics principles.

Purpose of the Study:

  • To investigate the origin of experimentally observed spin inertia.
  • To theoretically explain how spin inertia arises from spin-bath interactions.
  • To provide a framework for understanding bath-induced spin inertia.

Main Methods:

  • Theoretical modeling of a macrospin coupled to an environment (bath).
  • Analysis of spin-to-bath coupling effects on spin dynamics.
  • Consideration of high-frequency bath modes and their contribution to inertia.

Main Results:

  • Spin-to-bath coupling universally generates spin inertia.
  • This bath-induced spin inertia originates from high-frequency bath modes.
  • An illustrative example of phonon-bath-induced spin inertia in a YIG/GGG stack is presented.

Conclusions:

  • Spin inertia is not an intrinsic property but can be induced by the environment.
  • The findings offer new perspectives on recent spin inertia experiments.
  • Any spin dissipation mechanism must account for accompanying bath-induced spin inertia.