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Symmetry in the design of NMR multiple-pulse sequences

Symmetry in the design of NMR multiple-pulse sequences
Symmetry in the design of NMR multiple-pulse sequences
The symmetry principles of NMR pulse-sequence design are summarized. The discussion is guided by an analogy with tiling schemes in the decorative arts. The symmetry operations for NMR pulse sequences are discussed in terms of excitation field modifiers and temporal modifiers. The quantum operators which describe the effect of these modifiers on the excitation field spin Hamiltonian are provided. The symmetry transformations of spin propagators, and the different types of pulse-sequence elements are discussed. The common types of symmetry expansion are treated using the propagator transformations and the Euler angles for the excitation field propagators. The selection rules associated with symmetrical pulse sequences are discussed using average Hamiltonian theory.
angle-spinning nmr, echo, spectroscopy, solid-state nmr, magic-angle, high-resolution nmr, band population-inversion, dipole-dipole couplings, nuclear-magnetic-resonance, chemical-shift-anisotropy, homonuclear correlation, double-resonance
0021-9606
Levitt, M.H.
bcc5a80a-e5c5-4e0e-9a9a-249d036747c3
Levitt, M.H.
bcc5a80a-e5c5-4e0e-9a9a-249d036747c3

Levitt, M.H. (2008) Symmetry in the design of NMR multiple-pulse sequences. The Journal of Chemical Physics, 128 (5). (doi:10.1063/1.2831927).

Record type: Article

Abstract

The symmetry principles of NMR pulse-sequence design are summarized. The discussion is guided by an analogy with tiling schemes in the decorative arts. The symmetry operations for NMR pulse sequences are discussed in terms of excitation field modifiers and temporal modifiers. The quantum operators which describe the effect of these modifiers on the excitation field spin Hamiltonian are provided. The symmetry transformations of spin propagators, and the different types of pulse-sequence elements are discussed. The common types of symmetry expansion are treated using the propagator transformations and the Euler angles for the excitation field propagators. The selection rules associated with symmetrical pulse sequences are discussed using average Hamiltonian theory.

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More information

Published date: 2008
Keywords: angle-spinning nmr, echo, spectroscopy, solid-state nmr, magic-angle, high-resolution nmr, band population-inversion, dipole-dipole couplings, nuclear-magnetic-resonance, chemical-shift-anisotropy, homonuclear correlation, double-resonance
Organisations: Chemistry

Identifiers

Local EPrints ID: 54473
URI: http://eprints.soton.ac.uk/id/eprint/54473
ISSN: 0021-9606
PURE UUID: 2aeaa049-ff2f-417c-ac0d-e1adc4fae3ef
ORCID for M.H. Levitt: ORCID iD orcid.org/0000-0001-9878-1180

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Date deposited: 01 Aug 2008
Last modified: 10 Dec 2019 01:48

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Author: M.H. Levitt ORCID iD

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