The combination of ex situ dynamic nuclear polarization (DNP) with nuclear magnetic resonance (NMR) leads to signal-to-noise enhancements of 10(3)-10(4) compared to conventional NMR. Ex situ DNP, however, is ill-suited for collecting the array of transients needed in 2D NMR spectroscopy. Spatially encoded single-scan 2D NMR methods can circumvent this drawback, yet these "ultrafast" experiments can cover spectral ranges of only approximately 20 ppm using conventional hardware. To deal with this limitation, we discuss here new spatial/spectral encoding strategies capable of folding (13)C resonances into the desired spectral windows. This new approach allows one to obtain--following a single hyperpolarization process--multiple 2D heteronuclear correlations arising from different (13)C regions. In combination with ex situ DNP, these principles enable the acquisition of HMBC and HSQC 2D NMR spectra on approximately 1 mM mixtures of natural products, characterizing with a high resolution sites spread over nearly 100 ppm bandwidths.
The so-called "ultrafast" nuclear magnetic resonance (NMR) methods enable the collection of multidimensional spectra within a single scan. These experiments operate by replacing traditional t(1) time increments, with a series of combined radiofrequency-irradiation/magnetic-field-gradient manipulations that spatially encode the effects of the indirect-domain spin interactions. Barring the presence of sizable displacements, the spatial patterns thus imparted can be read out following a mixing period with the aid of oscillating acquisition gradients, leading to a train of t(2)-modulated echoes carrying in their positions and phases the indirect- and the direct-domain spin interactions. Both the initial spatial encoding as well as the subsequent spatial decoding procedures underlying ultrafast NMR were designed under the assumption that spins remain static within the sample during their execution. Most often this is not the case, and motion-related effects can be expected to affect the outcome of these experiments. The present paper focuses on analyzing the effects of diffusion in ultrafast two-dimensional (2D) NMR. Toward this end both analytical and numerical formalisms are derived, capable of dealing with the nonuniform spin manipulations, macroscopic sample sizes, and microscopic displacements involved in this kind of sequences. After experimentally validating the correctness of these formalisms these were used to analyze the effects of diffusion for a variety of cases, including ultrafast experiments on both rapidly and slowly diffusing molecules. A series of prototypical schemes were considered including discrete and continuous encoding modes, constant- and real-time manipulations, homo- and heteronuclear acquisitions, and single versus multiple quantum modalities. The effects of molecular diffusion were also compared against typical relaxation-driven losses as they happen in these various prototypical situations; from all these situations, general guidelines for choosing the optimal ultrafast 2D NMR scheme for a particular sample and condition could be deduced.
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