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Related Concept Videos

[3,3] Sigmatropic Rearrangement of 1,5-Dienes: Cope Rearrangement01:21

[3,3] Sigmatropic Rearrangement of 1,5-Dienes: Cope Rearrangement

The Cope rearrangement is classified as a [3,3] sigmatropic shift in 1,5-dienes, leading to a more stable, isomeric 1,5-diene. The reaction involves a concerted movement of six electrons, four from two π bonds and two from a σ bond, via an energetically favorable chair-like transition state.
¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

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¹H NMR: Complex Splitting01:13

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A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
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A proton...
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Spin–Spin Coupling Constant: Overview

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Related Experiment Video

Updated: Jun 12, 2026

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

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Published on: April 19, 2021

Mellin transform of CPMG data.

Lalitha Venkataramanan1, Fred K Gruber, Tarek M Habashy

  • 1Schlumberger-Doll Research, One Hampshire Street, Cambridge, MA 02139, USA. lvenkataramanan@slb.com

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|June 26, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a novel Mellin transform method for calculating transverse relaxation time T(2) moments from CPMG data. This approach enhances the analysis of petro-physical properties in porous media.

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Area of Science:

  • Geophysics
  • Nuclear Magnetic Resonance (NMR) Spectroscopy

Background:

  • Nuclear Magnetic Resonance (NMR) is crucial for characterizing porous media.
  • Transverse relaxation time T(2) provides insights into fluid properties and pore structures.
  • Traditional methods for T(2) moment computation have limitations.

Purpose of the Study:

  • To develop a new, efficient method for computing T(2) moments.
  • To explore the application of Mellin transforms in NMR data analysis.
  • To relate T(2) moments to petro-physical properties.

Main Methods:

  • Utilized the Mellin transform on Carr-Purcell-Meiboom-Gill (CPMG) data and its time-derivatives.
  • Computed the cumulant generating function of the natural logarithm of T(2) (lnT(2)).
  • Derived analytical expressions for moment uncertainties based on signal-to-noise ratio.

Main Results:

  • The Mellin transform method accurately computes T(2) moments.
  • Demonstrated performance on simulated data, showing comparable or superior results to inverse Laplace transform.
  • Established a link between T(2) moments and hydrocarbon properties in porous media.

Conclusions:

  • The Mellin transform offers a robust alternative for T(2) moment calculation.
  • This method improves the quantitative analysis of fluid and petro-physical properties.
  • The derived uncertainty expressions aid in data interpretation and quality assessment.