Quantitative Time-Domain Analysis of Two-Dimensional Heteronuclear Overhauser Effect (HOE) Data by the HD (Hankel Decomposition) Method

This paper deals with the extraction of accurate cross-relaxation rates from two-dimensional HOESY experiments. Data treatment is performed in part by a variant (dubbed HD, for Hankel decomposition) of the HSVD algorithm. The first 2D experiment (corresponding to the first t1 value) is subjected to a whole HD treatment; this yields in particular the frequencies and the damping factors which are then kept as they are for the subsequent experiments, from which only amplitudes and phases are determined by means of a least-squares procedure. These latter parameters are used to reconstruct a limited number of FIDs in the t1 dimension (one FID per line in the ƒ2 dimension). The amplitude of signals entering these FIDs (treated by the whole HD algorithm) are directly comparable to those of a conventional (reference) experiment, thus eliminating the major difficulties encountered in the quantitation of heteronuclear two-dimensional experiments.