Abstract
In an inhomogeneous magnetic field of asymmetric distribution the observed NMR precession frequency of a liquid will vary with time. We show that the initial frequency corresponds to the mean of the absorption spectrum whereas the final precession frequency corresponds to the peak of the spectrum. Precision magnetometry requires knowledge of the mean so that reliable extrapolation to the zero-time value of the frequency is required. We demonstrate that, as with the narrowing of NMR lines, the effect of atomic motion is to cause the precession frequency to relax in an exponential manner. The importance of these results is discussed in the comparison of proton magnetic resonance in water and NMR in gaseous for precision magnetometry.
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