Spin locking and spin–lattice relaxation in a liquid entrapped in nanosized cavities

We study the dynamics of the nuclear spins in a liquid entrapped in nanosized cavities. This spin system is like a solid system where all the spins are coupled equally with the same interaction constant. It is shown that, under the high temperature approximation, the system is described by the two-t...

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Bibliographic Details
Published in:Soft matter 2012-01, Vol.8 (35), p.9200-9204
Main Authors: Fel'dman, Edward B., Furman, Gregory B., Goren, Shaul D.
Format: Article
Language:English
Subjects:
Dynamic tests
Dynamical systems
Dynamics
Holes
Liquids
Nanomaterials
Nanostructure
Spin-lattice relaxation
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Summary:We study the dynamics of the nuclear spins in a liquid entrapped in nanosized cavities. This spin system is like a solid system where all the spins are coupled equally with the same interaction constant. It is shown that, under the high temperature approximation, the system is described by the two-temperature quasi-equilibrium density matrix. We find that the mixing rate Wand the local dipolar field omega sub(loc) depend on the cavity size V, shape F, and cavity orientation, [thetas]. For a large number of spins Nthe rate Wdecreases as the inverse square root of the number of spins, , and is proportional to the concentration of the molecules, C. The spin-lattice relaxation rates, 1/T sub(1 rho ) and 1/T sub(1d), are proportional to C super(2)/N. An NMR study of the dynamics of a spin system allows extraction of the cavity size and shape, its orientation relative to the magnetic field, and the molecular concentration.
ISSN:1744-683X
1744-6848
DOI:10.1039/c2sm26326b