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
Levitt, M.H.
bcc5a80a-e5c5-4e0e-9a9a-249d036747c3
2008
Levitt, M.H.
bcc5a80a-e5c5-4e0e-9a9a-249d036747c3
Levitt, M.H.
(2008)
Symmetry in the design of NMR multiple-pulse sequences.
Journal of Chemical Physics, 128 (5).
(doi:10.1063/1.2831927).
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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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
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Date deposited: 01 Aug 2008
Last modified: 16 Mar 2024 03:19
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