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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: Magnetic Resonance01:05

Atomic Nuclei: Magnetic Resonance

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The number of nuclear spins aligned in the lower energy state is slightly greater than those in the higher energy state. In the presence of an external magnetic field, as the spins precess at the Larmor frequency, the excess population results in a net magnetization oriented along the z axis. When a pulse or a short burst of radio waves at the Larmor frequency is applied along the x axis, the coupling of frequencies causes resonance and flips the nuclear spins of the excess population from the...
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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 one, the...
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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.
1.2K
Atomic Nuclei: Nuclear Spin01:08

Atomic Nuclei: Nuclear Spin

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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.
Atomic nuclei have a net nuclear spin, , which can have an integer or half-integer value. In atomic nuclei, the spins of protons are paired against each other but not with neutrons, and vice versa. Consequently, an even number of protons does not contribute to...
4.8K
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

1.4K
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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Related Experiment Video

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High-Temperature and High-Pressure In situ Magic Angle Spinning Nuclear Magnetic Resonance Spectroscopy
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Spin resonance without a spin: A microwave analog.

Tobias Hofmann1, Finn Schmidt1, Hans-Jürgen Stöckmann1

  • 1Philipps-Universität Marburg, Fachbereich Physik der , D-35032 Marburg, Germany, European Union.

Physical Review. E
|December 23, 2025
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Summary
This summary is machine-generated.

Researchers created a nuclear magnetic resonance analog using a microwave network. This system mimics magnetic resonance phenomena, including Zeeman splitting and rotating frames, by manipulating wave properties.

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Area of Science:

  • Physics
  • Quantum Mechanics
  • Microwave Engineering

Background:

  • Nuclear Magnetic Resonance (NMR) is a powerful spectroscopic technique.
  • NMR phenomena are typically observed in atomic nuclei subjected to magnetic fields.
  • Exploring analogs of NMR in different physical systems can reveal new insights and applications.

Purpose of the Study:

  • To realize an analog of Nuclear Magnetic Resonance (NMR) in a microwave network.
  • To investigate phenomena analogous to Zeeman splitting and frame transformation in this network.
  • To demonstrate the observation of resonance lines in an emulated magnetic field.

Main Methods:

  • Constructing a microwave network with symplectic symmetry.
  • Coupling two identical subgraphs with bonds introducing a specific phase difference.
  • Modulating bond lengths periodically to emulate a radio-frequency magnetic field.

Main Results:

  • Eigenvalues of the network appear as Kramers doublets due to symplectic symmetry.
  • Lifting of Kramers degeneracy by detuning bond lengths, analogous to Zeeman splitting.
  • Successful emulation of NMR phenomena, including frame transformation and Lorentzian resonance lines.

Conclusions:

  • A microwave network can effectively emulate key Nuclear Magnetic Resonance phenomena.
  • Symplectic symmetry and controlled bond modulation are crucial for this emulation.
  • This analog system provides a novel platform for studying magnetic resonance principles.