A Single-Shot Diffusion Experiment

Vangelderen, P.; Olson, Alan W.; Moonen, C.T.W.

doi:10.1006/jmra.1993.1139

Cited by 21 publications

(14 citation statements)

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“…In this case, the last three terms of [4] are nonzero. However, we will still discard these terms because, for realistic values of γ , B * (z, t), and t, these terms will be negligible in comparison to the first term.…”

Section: ∂ ∂Zmentioning

confidence: 91%

“…Physically what this means is that, over the distance that an individual spin will move during the experiment, the magnetic field gradient can be approximated to be uniform. Therefore [4] becomes…”

Section: ∂ ∂Zmentioning

confidence: 98%

“…Although other methods for measuring the diffusion coefficient in a single experiment have been proposed (3)(4)(5)(6)(7), these methods do not allow the discrimination of signals with different chemical shifts. Therefore, they are of no use if there is more than a single peak in the sample.…”

Section: Introductionmentioning

confidence: 99%

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One-Dimensional DOSY

Loening

Keeler

Morris

2001

Journal of Magnetic Resonance

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Section: ∂ ∂Zmentioning

confidence: 91%

Section: ∂ ∂Zmentioning

confidence: 98%

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One-Dimensional DOSY

Loening

Keeler

Morris

2001

Journal of Magnetic Resonance

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“…3,4 There has been considerable interest in reducing the time required for acquiring diffusion NMR datasets as to allow faster signal accumulation, acquisition of an increased number of fitting points, or monitoring rapid kinetics. [5][6][7][8][9][10][11][12][13][14][15][16][17] Most attempts to shorten the acquisition of diffusion NMR datasets have involved shortening the length of each cycle of the diffusion measurement ( Figure 1) by removing or reducing the relaxation step and by relying on a single excitation: the so-called single-shot experiments. This approach has proven to be effective as the basic NMR experimental technique requires a substantial recycling delay (comprising relaxation and acquisition times) to allow the bulk magnetization to recover to its equilibrium state.…”

Section: Introductionmentioning

confidence: 99%

Steady state effects in a two-pulse diffusion-weighted sequence

Zubkov

Stait‐Gardner

Price

et al. 2015

The Journal of Chemical Physics

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In conventional nuclear magnetic resonance (NMR) diffusion measurements a significant amount of experimental time is used up by magnetization recovery, serving to prevent the formation of the steady state, as in the latter case the manifestation of diffusion is modulated by multiple applications of the pulse sequence and conventional diffusion coefficient inference procedures are generally not applicable. Here, an analytical expression for diffusion-related effects in a two-pulse NMR experiment (e.g., pulsed-gradient spin echo) in the steady state mode (with repetition times less than the longitudinal relaxation time of the sample) is derived by employing a Fourier series expansion within the solution of the Bloch-Torrey equations. Considerations are given for the transition conditions between the full relaxation and the steady state experiment description. The diffusion coefficient of a polymer solution (polyethylene glycol) is measured by a two-pulse sequence in the full relaxation mode and for a range of repetition times, approaching the rapid steady state experiment. The precision of the fitting employing the presented steady state solution by far exceeds that of the conventional fitting. Additionally, numerical simulations are performed yielding results strongly supporting the proposed description of the NMR diffusion measurements in the steady state.

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“…Recent years have consequently witnessed a number of proposals to speed up 2D NMR experiments in general [10][11][12]. For the case of DOSY, a particularly large variety of suggestions has been put forward for shortening the diffusion/shift 2D correlations, proceeding all the way to reducing the sampling needs down to a single scan [13][14][15][16][17][18][19][20]. In many of these proposals, however, data are not collected under the optimal resolution conditions that would ideally suit small-molecule solution-state NMR spectroscopy.…”

Section: Introductionmentioning

confidence: 99%