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Random-walk simulations of NMR dephasing effects due to uniform magnetic-field gradients in a pore.

Authors
  • Valckenborg, R M E
  • Huinink, H P
  • Sande, J J v d
  • Kopinga, K
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Feb 01, 2002
Volume
65
Issue
2 Pt 1
Pages
21306–21306
Identifiers
PMID: 11863515
Source
Medline
License
Unknown

Abstract

A random-walk simulation program was developed to study the effect of dephasing spins in a uniform magnetic-field gradient in a porous material. It is shown that this simulation program correctly reproduces basic nuclear magnetic resonance behavior, such as the formation of a spin echo. The spin-echo decay due to dephasing in a nonrestricted medium gives the well-known exponential relation containing the cube of time, whereas the spin-echo decay due to dephasing in a porous material gives a monoexponential decay. By varying the pore size and magnetic-field gradient, the motional averaging regime and the localization regime can be simulated. Moreover, the unknown intermediate regime is investigated. By choosing the right scaling parameters, the spin-echo decay due to dephasing in a pore can be described by one master curve for all pore sizes and gradient strengths. This master curve reveals a small intermediate regime, perfectly symmetrical around the gradient for which the dephasing length is exactly equal to the structural length of the pore.

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