Abstract
The dipole-dipole relaxation of a system of more than two nuclei is described by a system of equations involving integrals of auto- and cross-correlation functions. The latter are the correlations between the internuclear interactions of one pair of nuclei with that of another pair, and they contain angular and other information not found in auto-correlation terms. Cross-correlation terms are generally ignored in the quantitative analysis of 2D nuclear Overhauser spectra (2D NOE or NOESY). The errors introduced by ignoring these terms were analyzed and found to be relatively small in the cases investigated. Conversely, the standard NOESY experiment is not a particularly sensitive way of measuring cross-correlation terms and thereby accessing the information they contain. Modifications to the standard NOESY experiment, which enable relatively direct measurement of cross-correlation terms, are proposed and analyzed.
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