The regularized resolvent transform for processing DOSY spectra

We present a method, called iRRT, for processing Diffusion Ordered Spectroscopy (DOSY) data, that can produce results even in overlapping regions of the spectrum. From the results we obtain diffusion constants for camphene, geraniol, and quinine of 12× 10−6cm2s−1, 9× 10−6cm2s−1, and 6× 10−6cm2s−1 respectively. We compare the results from this method to those obtained using a mono-exponential non-linear least squares fit. Both the 2D DOSY spectrum and the 1D spectra corresponding to each component of the mixture obtained from iRRT compare favorably to the spectra of the pure substances, and offer a vast improvement over the exponential fit results. This method is presented as a stable and reliable tool for solving the Inverse Laplace Transform (ILT) problem present in experiments such as DOSY.