Condition for Sudden Passage in the Earth’s-Field NMR Technique

B. F. Melton, V. L. Pollak, T. W. Mayes, Barton L. Willis

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

The equation of motiondM/dt= γM × B is solved numerically in order to study the dynamic behavior of the magnetization during the cutoff of the polarizing field in the earth's-field NMR technique. It is assumed that the polarizing field is perpendicular to the earth's field and is reduced to zero linearly in a time short compared to all spin relaxation times. The numerical solution for arbitrary cutoff rates is obtained using the fourth-order Runge-Kutta algorithm and is found to be consistent with a power series solution. It is shown that the magnetization remains within a single octant, and that, for moderate to rapid cutoff, the cutoff rate is related to the cone angle of the subsequent free precession by[formula]Here θcis the complement of the cone angle in radians, γ is the proton gyromagnetic ratio, andB0is the magnitude of the static field (normally, the earth's field) used to detect the free precession.

Original languageEnglish (US)
Pages (from-to)164-170
Number of pages7
JournalJournal of Magnetic Resonance, Series A
Volume117
Issue number2
DOIs
StatePublished - Dec 1995

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cut-off
Earth (planet)
Nuclear magnetic resonance
nuclear magnetic resonance
Cones
Magnetization
precession
Protons
cones
Relaxation time
magnetization
power series
complement
relaxation time
protons

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Condition for Sudden Passage in the Earth’s-Field NMR Technique. / Melton, B. F.; Pollak, V. L.; Mayes, T. W.; Willis, Barton L.

In: Journal of Magnetic Resonance, Series A, Vol. 117, No. 2, 12.1995, p. 164-170.

Research output: Contribution to journalArticle

Melton, B. F. ; Pollak, V. L. ; Mayes, T. W. ; Willis, Barton L. / Condition for Sudden Passage in the Earth’s-Field NMR Technique. In: Journal of Magnetic Resonance, Series A. 1995 ; Vol. 117, No. 2. pp. 164-170.
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