Abstract
Transfer functions for the linearized NMR system of spectral type AB with intra- or intermolecular exchange are derived from the matrix governing the motion of relevant elements of the spin density matrix. The analytic character of the transfer functions is discussed in terms of the loci traced by their poles and zeros in the complex frequency plane as the exchange rate is varied. Basic features of the root locus diagrams are confirmed in the NMR spectra of two selected chemical systems. An analog computer circuit is suggested for the display of theoretical spectra or free induction decays.
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