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Analytical theory of gamma-encoded double-quantum recoupling sequences in solid-state nuclear magnetic resonance

Analytical theory of gamma-encoded double-quantum recoupling sequences in solid-state nuclear magnetic resonance
Analytical theory of gamma-encoded double-quantum recoupling sequences in solid-state nuclear magnetic resonance
Many important double-quantum recoupling techniques in solid-state NMR are classified as being ?-encoded. This means that the phase of the double-quantum effective Hamiltonian, but not its amplitude, depends on the third Euler angle defining the orientation of the molecular spin system in the frame of the magic-angle-spinning rotor. In this paper, we provide closed analytical solutions for the dependence of the powder-average double-quantum-filtered signal on the recoupling times, within the average Hamiltonian approximation for ?-encoded pulse sequences. The validity of the analytical solutions is tested by numerical simulations. The internuclear distance in a 13C2-labelled retinal is estimated by fitting the analytical curves to experimental double-quantum data.
angle-spinning nmr, symmetry, fresnel, polarization transfer, homonuclear rotary resonance, cross-polarization, magic-angle-spinning, symmetry-based recoupling, proton-enhanced nmr, principles, solid-state nmr, recoupling, pulse sequence, rotating solids, spectroscopy, dilute spins
65-74
Pileio, G.
13f78e66-0707-4438-b9c9-6dbd3eb7d4e8
Concistre, M.
ec95c9d4-ecb8-4c28-a464-8c3adba9e86d
McLean, N.
96f9519d-6ecf-40a4-a383-f85e26cd7782
Gansmulller, A.
eeea4f6c-9cdf-4533-af5a-e7450387c922
Brown, R.C.D.
21ce697a-7c3a-480e-919f-429a3d8550f5
Levitt, M.H.
bcc5a80a-e5c5-4e0e-9a9a-249d036747c3
Pileio, G.
13f78e66-0707-4438-b9c9-6dbd3eb7d4e8
Concistre, M.
ec95c9d4-ecb8-4c28-a464-8c3adba9e86d
McLean, N.
96f9519d-6ecf-40a4-a383-f85e26cd7782
Gansmulller, A.
eeea4f6c-9cdf-4533-af5a-e7450387c922
Brown, R.C.D.
21ce697a-7c3a-480e-919f-429a3d8550f5
Levitt, M.H.
bcc5a80a-e5c5-4e0e-9a9a-249d036747c3

Pileio, G., Concistre, M., McLean, N., Gansmulller, A., Brown, R.C.D. and Levitt, M.H. (2007) Analytical theory of gamma-encoded double-quantum recoupling sequences in solid-state nuclear magnetic resonance. Journal of Magnetic Resonance, 186 (1), 65-74. (doi:10.1016/j.jmr.2007.01.009).

Record type: Article

Abstract

Many important double-quantum recoupling techniques in solid-state NMR are classified as being ?-encoded. This means that the phase of the double-quantum effective Hamiltonian, but not its amplitude, depends on the third Euler angle defining the orientation of the molecular spin system in the frame of the magic-angle-spinning rotor. In this paper, we provide closed analytical solutions for the dependence of the powder-average double-quantum-filtered signal on the recoupling times, within the average Hamiltonian approximation for ?-encoded pulse sequences. The validity of the analytical solutions is tested by numerical simulations. The internuclear distance in a 13C2-labelled retinal is estimated by fitting the analytical curves to experimental double-quantum data.

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More information

Published date: 2007
Keywords: angle-spinning nmr, symmetry, fresnel, polarization transfer, homonuclear rotary resonance, cross-polarization, magic-angle-spinning, symmetry-based recoupling, proton-enhanced nmr, principles, solid-state nmr, recoupling, pulse sequence, rotating solids, spectroscopy, dilute spins

Identifiers

Local EPrints ID: 54360
URI: http://eprints.soton.ac.uk/id/eprint/54360
PURE UUID: 680b4649-dafa-49d2-8d18-1c370fc41f41
ORCID for G. Pileio: ORCID iD orcid.org/0000-0001-9223-3896
ORCID for M. Concistre: ORCID iD orcid.org/0000-0001-7111-0782
ORCID for R.C.D. Brown: ORCID iD orcid.org/0000-0003-0156-7087
ORCID for M.H. Levitt: ORCID iD orcid.org/0000-0001-9878-1180

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Date deposited: 31 Jul 2008
Last modified: 16 Mar 2024 03:59

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Contributors

Author: G. Pileio ORCID iD
Author: M. Concistre ORCID iD
Author: N. McLean
Author: A. Gansmulller
Author: R.C.D. Brown ORCID iD
Author: M.H. Levitt ORCID iD

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