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"Torus Factor - The Relationship Between Radiofrequency
Field and Radial Position in Toroid Cavity Probes"
K. Woelk, J. Magn. Reson.
146,
157-164 (2000).
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Toroid detectors are resonators for high-pressure
in situ NMR spectroscopy or one-dimensional
rotating-frame imaging. One of their unique qualities is a mathematically
well-defined non-uniform radiofrequency field confined to the inside of
the detector. A single parameter (i.e., the torus factor) is sufficient
to describe the relationship between this radiofrequency field and the
radial distance from the center axis of the torus.
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Because accurate determination of the torus factor is essential to optimize
toroid cavity NMR experiments or conduct toroid cavity imaging, a fast
numerical algorithm is introduced for accurate, precise, and convenient
determination of torus factors from pulse width dependent signal intensities.
In addition, the new algorithm provides for 99% confidence intervals around
the refined torus factors.
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A computer program is presented, in which the optimization progress is
visualized during the torus factor refinement. Upon completion of the program,
the best-fit simulated data and the residuals between best fit and experimental
data are provided.
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K. Woelk, April 09,
2001