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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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NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences01:17

NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences

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A pulse is a short burst of radio waves distributed over a range of frequencies that simultaneously excites all the nuclei in the sample. Upon passing a radio frequency pulse along the x-axis, the nuclei absorb energy corresponding to their Larmor frequencies and achieve resonance. This shifts the net magnetization vector from the z-axis toward the transverse plane. This angle of rotation of the magnetization vector, or the flip angle, is proportional to the duration and intensity of the pulse.
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NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

1.1K
When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
1.1K
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

1.7K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.7K
Insensitive Nuclei Enhanced by Polarization Transfer (INEPT)01:15

Insensitive Nuclei Enhanced by Polarization Transfer (INEPT)

1.1K
Insensitive Nuclei Enhanced by Polarization Transfer (INEPT) is an advanced Nuclear Magnetic Resonance (NMR) technique specifically designed to detect and enhance the signals of low-abundance nuclei, such as carbon-13 and nitrogen-15, in small molecules. The fundamental principle behind INEPT is the transfer of polarization from a more abundant and highly polarizable nucleus, typically hydrogen-1, to the low-abundance nucleus of interest. This process effectively boosts the NMR signal of the...
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¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)

1.8K
When proton-coupled carbon-13 spectra are simplified by a broadband proton decoupling technique, structural information about the coupled protons is lost. Distortionless enhancement by polarization transfer (DEPT) is a technique that provides information on the number of hydrogens attached to each carbon in a molecule. While the DEPT experiment utilizes complex pulse sequences, the pulse delay and flip angle are specifically manipulated. The resulting signals have different phases depending on...
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Updated: Mar 14, 2026

Quantitative Magnetic Resonance Imaging of Skeletal Muscle Disease
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Optimizing Selective RF Pulses for Enhanced Signal Stability in Turbo Spin Echo Using a Differentiable Extended Phase

Madison M Augelli1, Anuj Sharma1, Mark A Griswold1,2

  • 1Biomedical Engineering, Case Western Reserve University, Cleveland, Ohio, USA.

Magnetic Resonance in Medicine
|March 12, 2026
PubMed
Summary
This summary is machine-generated.

Optimized radiofrequency (RF) pulses for turbo spin echo (TSE) imaging improve slice profile consistency, reducing blurring and enhancing T2 mapping accuracy. This method offers flexible RF pulse design for echo train sequences.

Keywords:
RF pulse designextended phase graphoptimizationturbo spin echo

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Area of Science:

  • Magnetic Resonance Imaging (MRI)
  • Pulse Sequence Design
  • Quantitative Imaging

Background:

  • Turbo Spin Echo (TSE) imaging is crucial for various MRI applications.
  • Slice profile inconsistency in TSE can lead to image blurring and inaccurate quantitative measurements, particularly for T2 mapping.
  • Existing methods for RF pulse design may not adequately address slice profile consistency across echo trains.

Purpose of the Study:

  • To develop and validate a novel method for optimizing radiofrequency (RF) pulses in TSE imaging.
  • The primary goal is to enhance slice profile consistency throughout the echo train.
  • This aims to reduce image blurring and improve the accuracy of multi-echo spin echo T2 mapping.

Main Methods:

  • Utilized a differentiable extended phase graph (EPG) model incorporating RF pulse spinor profiles to calculate slice profiles.
  • Employed an L-BFGS optimization algorithm with singular value regularization in PyTorch to minimize signal magnitude errors.
  • Compared optimized pulses against time-bandwidth-matched Shinnar-Le Roux (SLR) RF pulses through simulations, phantom studies, and in vivo imaging.

Main Results:

  • Optimized pulses achieved a 90% reduction in the standard deviation of normalized integrated signal across echoes compared to SLR pulses.
  • Demonstrated increased in vivo image sharpness at tissue-fluid and vessel boundaries.
  • Reduced T2 mapping error by 91% in a NIST phantom and yielded more accurate in vivo T2 maps.

Conclusions:

  • The developed optimization method allows for flexible RF pulse design in echo train sequences.
  • Achieved consistent slice profiles, target signal progression, and constant phase and Full Width at Half Maximum (FWHM) between echoes.
  • This approach significantly improves the quality and accuracy of TSE imaging and T2 mapping.