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Abstract. Diffusion-ordered NMR spectroscopy (DOSY) constructsmultidimensional spectra displaying signal strength as a function of Larmorfrequency and of diffusion coefficient from experimental measurements usingpulsed field gradient spin or stimulated echoes. Peak positions in thediffusion domain are determined by diffusion coefficients estimated byfitting experimental data to some variant of the Stejskal–Tanner equation, with the peak widths determined by the standard error estimated in thefitting process. The accuracy and reliability of the diffusion domain inDOSY spectra are therefore determined by the uncertainties in theexperimental data and thus in part by the signal-to-noise ratio of the experimental spectra measured. Here the Cramér–Rao lower bound, MonteCarlo methods, and experimental data are used to investigate the relationship between signal-to-noise ratio, experimental parameters, and diffusion domain accuracy in 2D DOSY experiments. Experimental results confirm that sources of error other than noise put an upper limit on the improvement in diffusion domain accuracy obtainable by time averaging.

Signal-to-noise ratio in diffusion-ordered spectroscopy: how good is good enough?