Previously, it has been shown that the use of pulsed held gradients in one-dimensional NOE experiments results in spectra of much higher quality than it has previously been possible to record, Such high-quality spectra make it possible to measure, with complete confidence, very small NOE enhancements and also make it straight-forward to measure NOE buildup curves. In this paper, the spin dynamics behind these NOE experiments with gradients are analyzed in detail; the effects of strong coupling and molecular diffusion are also examined. It is also shown how the basic experiments can be improved upon, in particular how unwanted antiphase contributions (SPT effects) can be eliminated entirely. Experimental illustrations of the various methods and improvements are given and practical recommendations made as to how the experiments are best performed. (C) 1997 Academic Press.