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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
1b12fa96-4a6a-4689-ab3b-ccc68f1d7691
Antonioli, Gian Carlo
999af89b-f81c-4680-897a-e2657282b3ae
Levitt, Malcolm H.
bcc5a80a-e5c5-4e0e-9a9a-249d036747c3
van Beek, Jacco D.
ba9e0c40-f430-4e55-bdbc-c506abae7112
Carravetta, Marina
1b12fa96-4a6a-4689-ab3b-ccc68f1d7691
Antonioli, Gian Carlo
999af89b-f81c-4680-897a-e2657282b3ae
Levitt, Malcolm H.
bcc5a80a-e5c5-4e0e-9a9a-249d036747c3

van Beek, Jacco D., Carravetta, Marina, Antonioli, Gian Carlo and Levitt, Malcolm H. (2005) Spherical tensor analysis of nuclear magnetic resonance signals. 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
ORCID for Marina Carravetta: ORCID iD orcid.org/0000-0002-6296-2104
ORCID for Malcolm H. Levitt: ORCID iD orcid.org/0000-0001-9878-1180

Catalogue record

Date deposited: 01 Mar 2006
Last modified: 16 Mar 2024 03:29

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Contributors

Author: Jacco D. van Beek
Author: Gian Carlo Antonioli

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