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Spherical tensor analysis of nuclear magnetic resonance signals

Spherical tensor analysis of nuclear magnetic resonance signals
Spherical tensor analysis of nuclear magnetic resonance signals
In a nuclear magnetic-resonance (NMR) experiment, the spin density operator may be regarded as a superposition of irreducible spherical tensor operators. Each of these spin operators evolves during the NMR experiment and may give rise to an NMR signal at a later time. The NMR signal at the end of a pulse sequence may, therefore, be regarded as a superposition of spherical components, each derived from a different spherical tensor operator. We describe an experimental method, called spherical tensor analysis (STA), which allows the complete resolution of the NMR signal into its individual spherical components. The method is demonstrated on a powder of a C-13-labeled amino acid, exposed to a pulse sequence generating a double-quantum effective Hamiltonian. The propagation of spin order through the space of spherical tensor operators is revealed by the STA procedure, both in static and rotating solids. Possible applications of STA to the NMR of liquids, liquid crystals, and solids are discussed.
multiple-quantum nmr, angle-spinning nmr, solid-state nmr, coherence-transfer, filtered nmr, spectroscopy, phase, relaxation, excitation, selection
0021-9606
van Beek, Jacco D.
ba9e0c40-f430-4e55-bdbc-c506abae7112
Carravetta, Marina
d2c7f4a2-216d-487a-af55-2ec0bcccb62a
Antonioli, Gian Carlo
999af89b-f81c-4680-897a-e2657282b3ae
Levitt, Malcolm H.
6c1f57e5-bf30-4419-b14f-cc521dc25b13
van Beek, Jacco D.
ba9e0c40-f430-4e55-bdbc-c506abae7112
Carravetta, Marina
d2c7f4a2-216d-487a-af55-2ec0bcccb62a
Antonioli, Gian Carlo
999af89b-f81c-4680-897a-e2657282b3ae
Levitt, Malcolm H.
6c1f57e5-bf30-4419-b14f-cc521dc25b13

van Beek, Jacco D., Carravetta, Marina, Antonioli, Gian Carlo and Levitt, Malcolm H. (2005) Spherical tensor analysis of nuclear magnetic resonance signals. The Journal of Chemical Physics, 122 (24). (doi:10.1063/1.1943947).

Record type: Article

Abstract

In a nuclear magnetic-resonance (NMR) experiment, the spin density operator may be regarded as a superposition of irreducible spherical tensor operators. Each of these spin operators evolves during the NMR experiment and may give rise to an NMR signal at a later time. The NMR signal at the end of a pulse sequence may, therefore, be regarded as a superposition of spherical components, each derived from a different spherical tensor operator. We describe an experimental method, called spherical tensor analysis (STA), which allows the complete resolution of the NMR signal into its individual spherical components. The method is demonstrated on a powder of a C-13-labeled amino acid, exposed to a pulse sequence generating a double-quantum effective Hamiltonian. The propagation of spin order through the space of spherical tensor operators is revealed by the STA procedure, both in static and rotating solids. Possible applications of STA to the NMR of liquids, liquid crystals, and solids are discussed.

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More information

Published date: 22 June 2005
Keywords: multiple-quantum nmr, angle-spinning nmr, solid-state nmr, coherence-transfer, filtered nmr, spectroscopy, phase, relaxation, excitation, selection
Organisations: Chemistry

Identifiers

Local EPrints ID: 20922
URI: http://eprints.soton.ac.uk/id/eprint/20922
ISSN: 0021-9606
PURE UUID: 2cd60705-93b9-420f-84b8-34da2cfe93fc

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Date deposited: 01 Mar 2006
Last modified: 15 Jul 2019 19:25

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Contributors

Author: Jacco D. van Beek
Author: Marina Carravetta
Author: Gian Carlo Antonioli
Author: Malcolm H. Levitt

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