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Insights into homonuclear decoupling from efficient numerical simulation : techniques and examples

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Zorin, Vadim E., Ernst, Matthias, Brown, Steven P. and Hodgkinson, Paul (2008) Insights into homonuclear decoupling from efficient numerical simulation : techniques and examples. Journal of Magnetic Resonance, Vol.192 (No.2). pp. 183-196. doi:10.1016/j.jmr.2008.02.012

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Official URL: http://dx.doi.org/10.1016/j.jmr.2008.02.012

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Abstract

A combination of techniques, including rational number synchronisation and pre-diagonalisation of the time-dependent periodic Hamiltonian, are described which allow the efficient simulation of NMR experiments involving both magic-angle spinning (MAS) and RF irradiation, particularly in the important special case of phase-modulated decoupling sequences. Chebyshev and conventional diagonalisation approaches to calculating propagators under MAS are also compared, with Chebyshev methods offering significant advantages in cases where the Hamiltonian is large and time-dependent but not block-diagonal (as is the case for problems involving combined MAS and RF). The ability to simulate extended coupled spin systems efficiently allows H-1 spectra under homonuclear decoupling to be calculated directly and compared to experimental results. Reasonable agreement is found for the conditions under which homonuclear decoupling is typically applied for rigid solids (although the increasing deviation of experimental results from the predictions of theory and simulation at higher RF powers is still unexplained). Numerical simulations are used to explore three features of these experiments: the interaction between the magic-angle spinning and RF decoupling, the effects of tilt pulses in acquisition windows and the effects of "phase propagation delays" on tilted axis precession. In each case, the results reveal features that are not readily anticipated by previous analytical studies and shed light on previous empirical observations. (c) 2008 Elsevier Inc. All rights reserved.

Item Type: Journal Article
Subjects: Q Science > QD Chemistry
Q Science > QC Physics
Divisions: Faculty of Science > Physics
Library of Congress Subject Headings (LCSH): Nuclear magnetic resonance spectroscopy, Solid state chemistry, Hamiltonian systems, Mathematical models
Journal or Publication Title: Journal of Magnetic Resonance
Publisher: Academic Press
ISSN: 1090-7807
Official Date: June 2008
Dates:
DateEvent
June 2008Published
Volume: Vol.192
Number: No.2
Number of Pages: 14
Page Range: pp. 183-196
DOI: 10.1016/j.jmr.2008.02.012
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Engineering and Physical Sciences Research Council (EPSRC)
Grant number: GR/S56993/01 (EPSRC), EP/D057159 (EPSRC)

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