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17 It has been suggested that the highest coherence order experimentally observable provides a less model-dependent indicator of the maximum number of dipolar-coupled spins at a given preparation time. However, such a characterization suffers from being somewhat arbitrary, since it is limited by the signal:noise ratio. The actual intensity profiles of coherence orders observed for different samples sometimes fit a Gaussian decay better and sometimes fit an exponential decay better (K. Gleason, private communication). In our view, the fit to one or the other of these functions is a phenomenological means of characterizing the increasing width of the profile as a function of increasing preparation time, which is a direct experimental fact. Thus, although the actual intensities of the individual orders remain the primary data, the derived quantity of e.g. a Gaussian line width (and resultan: effective size) provides a convenient way to condense the data. This is particularly true when the form of the profile does not depend upon the preparation time. We will follow this heuristic approach in this paper.
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