Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

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...
Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

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...
¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

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

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...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Non-Invasive Measurement of Brain Temperature using Microwave Radiothermometry.

Bulletin of experimental biology and medicine·2026
Same author

[Effect of therapeutic hypothermia on post-stroke sleep disorders].

Zhurnal nevrologii i psikhiatrii imeni S.S. Korsakova·2025
Same author

Consistent theoretical description of nuclear spin long-lived states decay under conditions of reversible ligand-protein binding.

The Journal of chemical physics·2024
Same author

[Craniocerebral hypothermia in the acute period of ischemic stroke].

Zhurnal nevrologii i psikhiatrii imeni S.S. Korsakova·2023
Same author

Chronic Critical Illness: Current Aspects of the Problem (Review).

Sovremennye tekhnologii v meditsine·2023
Same author

[Two models of insulin resistance development and the strategy to combat age-related diseases: literature review].

Problemy endokrinologii·2022

Related Experiment Video

Updated: May 30, 2026

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale
08:09

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale

Published on: April 19, 2021

CPMG echo amplitudes with arbitrary refocusing angle: explicit expressions, asymptotic behavior, approximations.

M V Petrova1, A B Doktorov, N N Lukzen

  • 1International Tomography Center SB RAS, Institutskaya 3a, Novosibirsk 630090, Russia. petrovamv@tomo.nsc.ru

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|August 20, 2011
PubMed
Summary
This summary is machine-generated.

Researchers derived an exact analytical expression for echoes in the Carr-Purcell-Meiboom-Gill (CPMG) sequence. This work details echo behavior, including potential oscillations, for advanced magnetic resonance imaging applications.

More Related Videos

Evanescent Field Based Photoacoustics: Optical Property Evaluation at Surfaces
10:21

Evanescent Field Based Photoacoustics: Optical Property Evaluation at Surfaces

Published on: July 26, 2016

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

Related Experiment Videos

Last Updated: May 30, 2026

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale
08:09

15N CPMG Relaxation Dispersion for the Investigation of Protein Conformational Dynamics on the µs-ms Timescale

Published on: April 19, 2021

Evanescent Field Based Photoacoustics: Optical Property Evaluation at Surfaces
10:21

Evanescent Field Based Photoacoustics: Optical Property Evaluation at Surfaces

Published on: July 26, 2016

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

Area of Science:

  • Magnetic Resonance Spectroscopy
  • Quantum Information Science
  • Physical Chemistry

Background:

  • The Carr-Purcell-Meiboom-Gill (CPMG) sequence is fundamental in Nuclear Magnetic Resonance (NMR) spectroscopy for mitigating signal decay.
  • Accurate theoretical descriptions of echo formation are crucial for optimizing pulse sequences and interpreting experimental data.
  • Existing models may not fully capture the complex behavior of echoes under varied experimental conditions.

Purpose of the Study:

  • To derive an exact analytical expression for spin echoes in the CPMG sequence.
  • To investigate echo behavior with arbitrary radiofrequency (RF) pulse angles and resonance offsets.
  • To analyze asymptotic forms and approximations of echo amplitudes.

Main Methods:

  • Utilized the generating functions formalism previously developed by the authors.
  • Derived exact analytical expressions for echo amplitudes.
  • Obtained and analyzed asymptotic forms and analytical approximations for echoes.

Main Results:

  • An exact explicit analytical expression for CPMG echoes was obtained.
  • Asymptotic forms and approximations were derived and analyzed, revealing potential oscillatory echo behavior dependent on relaxation times (T1, T2) and sequence parameters.
  • The accuracy of approximations was validated against exact calculations.

Conclusions:

  • The generating functions approach provides a robust method for analyzing CPMG echoes.
  • The derived expressions and analysis offer deeper insights into echo behavior, including complex oscillations.
  • The formalism is applicable to terminated pulse sequences and the analysis of after-pulse echoes.