Interpretation of Pulsed-Field-Gradient NMR in Terms of Molecular Displacements

Details Interpretation of Pulsed-Field-Gradient NMR in Terms of Molecular Displacements Interpretation of Pulsed-Field-Gradient NMR in Terms of Molecular Displacements

2011-02-22

arxiv.org/abs/1102.4590v1

Physics

Condensed Matter

Soft Condensed Matter

10 pages, 2 figures

Scientific paper

The relationship for Pulsed-Field-Gradient NMR between the amplitude $I(t)$ of the spin echo and the molecular displacement ${\bf X}(t)$ is examined. $I(t)$ of a single species in a simple solution is determined by the mean-square displacement $\bar{X(t)^{2}}$. With polydisperse species, or molecular probes in complex fluids showing memory effects, $I(t)$ in general includes large contributions from all higher even moments $\bar{X(t)^{2n}}$. Conditions under which the NMR signal is indeed determined by the molecular mean-square displacement are noted. A diagnostic that sometimes identifies when these conditions are not met is presented.

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