Nuclear spin relaxation in systems of magnetic spheres

J. S. Blicharski; D. Kruk; M. A. Macri; B. Maraviglia

doi:10.1016/S0921-4526(02)01854-9

Nuclear spin relaxation in systems of magnetic spheres

J. S. Blicharski, D. Kruk, M. A. Macri, B. Maraviglia

Fondazione Santa Lucia

Research output: Contribution to journal › Article › peer-review

Abstract

A new approach to the NMR relaxation theory for a system of magnetic spheres (sufficiently big spherical molecules) is presented. In this paper the NMR spin-lattice relaxation time T₁ and spin-spin relaxation time T₂ are calculated for nuclear spins I→_j, taking into account intermolecular dipole-dipole interactions between the spins I→_j, and spins S→_k in the magnetic spheres. By an expansion of the dipole-dipole interaction in a series of spherical harmonics, it is possible to separate spatial variables of the interacting spins in a laboratory frame. A simultaneous effect of isotropic rotational and translation diffusion of the spins and relaxation rate of spins S→_k is also taken into account.

Original language	English
Pages (from-to)	302-311
Number of pages	10
Journal	Physica B: Condensed Matter
Volume	328
Issue number	3-4
DOIs	https://doi.org/10.1016/S0921-4526(02)01854-9
Publication status	Published - May 2003

Keywords

Diffusion
Macromolecules
NMR relaxation
Solution

ASJC Scopus subject areas

Materials Science(all)
Condensed Matter Physics

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10.1016/S0921-4526(02)01854-9

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T1 - Nuclear spin relaxation in systems of magnetic spheres

AU - Blicharski, J. S.

AU - Kruk, D.

AU - Macri, M. A.

AU - Maraviglia, B.

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N2 - A new approach to the NMR relaxation theory for a system of magnetic spheres (sufficiently big spherical molecules) is presented. In this paper the NMR spin-lattice relaxation time T1 and spin-spin relaxation time T2 are calculated for nuclear spins I→j, taking into account intermolecular dipole-dipole interactions between the spins I→j, and spins S→k in the magnetic spheres. By an expansion of the dipole-dipole interaction in a series of spherical harmonics, it is possible to separate spatial variables of the interacting spins in a laboratory frame. A simultaneous effect of isotropic rotational and translation diffusion of the spins and relaxation rate of spins S→k is also taken into account.

AB - A new approach to the NMR relaxation theory for a system of magnetic spheres (sufficiently big spherical molecules) is presented. In this paper the NMR spin-lattice relaxation time T1 and spin-spin relaxation time T2 are calculated for nuclear spins I→j, taking into account intermolecular dipole-dipole interactions between the spins I→j, and spins S→k in the magnetic spheres. By an expansion of the dipole-dipole interaction in a series of spherical harmonics, it is possible to separate spatial variables of the interacting spins in a laboratory frame. A simultaneous effect of isotropic rotational and translation diffusion of the spins and relaxation rate of spins S→k is also taken into account.

KW - Diffusion

KW - Macromolecules

KW - NMR relaxation

KW - Solution

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