The Effect of Finite Duration of Gradient Pulses on the Pulsed-Field-Gradient NMR Method for Studying Restricted Diffusion

The applicability of the Fourier relation between the averaged displacement profile and the experimental echo-attenuation curve for the PFG NMR method for studying restricted diffusion is discussed. Formally, this relation is valid only in the limit where the gradient pulse is given in the form of a...

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Bibliographic Details
Published inJournal of magnetic resonance. Series A Vol. 109; no. 2; pp. 203 - 209
Main Author Blees, M.H.
Format Journal Article
LanguageEnglish
Published Orlando, FL Elsevier Inc 01.08.1994
Academic Press
Subjects
Atomic, molecular and charged-particle sources and detectors
Exact sciences and technology
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Physics
Molecular dynamics
Theoretical study
Numerical method
NMR spectrometry
Diffusion coefficient
Self-diffusion
Pulse sequence
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Summary:The applicability of the Fourier relation between the averaged displacement profile and the experimental echo-attenuation curve for the PFG NMR method for studying restricted diffusion is discussed. Formally, this relation is valid only in the limit where the gradient pulse is given in the form of a δ function, the so-called short-gradient-pulse (SGP) limit. Experimentally, this condition can of course never be realized, and usually a block-shaped pulse of finite duration and amplitude is employed. This problem was investigated numerically and the results were compared with the analytic expression valid in the SGP limit. The results presented were calculated for the simplest restricted geometry: the diffusion between two plates.
ISSN:1064-1858
1096-0864
DOI:10.1006/jmra.1994.1156