In this work we investigate the emergence of the localization regime for diffusion NMR in
various geometries: inside slabs, inside cylinders and outside rods arranged on a square …

High diffusion-sensitizing magnetic field gradients have been more and more often applied
nowadays to achieve a better characterization of the microstructure. As the resulting spin …

We describe methods for the measurement of translational diffusion in very large static
magnetic field gradients by NMR. The techniques use a “hole-burning” sequence that, with …

Measuring molecular diffusion is based on the spatial encoding of spin-carrying molecules
using external Larmor frequency gradients. Intrinsic variations of the Larmor frequency and …

Abstract The Bloch–Torrey equation governs the evolution of the transverse magnetization
in diffusion magnetic resonance imaging, where two mechanisms are at play: diffusion of …

Since their introduction by Stejskal and Tanner, pulsed-field-gradient diffusion-weighted
NMR experiments have been applied to characterize condensed matter ranging from liquids …

The matrix formalism is a general framework for evaluating the diffusion NMR signal from
restricted spins under generalised gradient waveforms. The original publications …

Based on a description introduced by Robertson, Grebenkov recently introduced a powerful
formalism to represent the diffusion-attenuated NMR signal for simple pore geometries such …

In this chapter, we discuss the mathematical background of diffusion nuclear magnetic
resonance (dNMR), also known as NMR diffusometry, diffusion magnetic resonance …

By the multiple correlation function (MCF) formalism, the nuclear magnetic resonance
magnetization of diffusing spins can be represented for simple pore geometries. It may be …