@article{Pileio2007,
	title = {Analytical theory of gamma-encoded double-quantum recoupling sequences in solid-state nuclear magnetic resonance.},
	volume = {186},
	issn = {1090-7807},
	url = {http://www.ncbi.nlm.nih.gov/pubmed/17303455},
	doi = {10.1016/j.jmr.2007.01.009},
	abstract = {Many important double-quantum recoupling techniques in solid-state NMR are classified as being gamma-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 gamma-encoded pulse sequences. The validity of the analytical solutions is tested by numerical simulations. The internuclear distance in a (13)C(2)-labelled retinal is estimated by fitting the analytical curves to experimental double-quantum data.},
	number = {1},
	urldate = {2014-01-19},
	journal = {Journal of magnetic resonance (San Diego, Calif. : 1997)},
	author = {Pileio, Giuseppe and Concistrè, Maria and McLean, Neville and Gansmüller, Axel and Brown, Richard C D and Levitt, Malcolm H},
	month = may,
	year = {2007},
	pmid = {17303455},
	keywords = {Algorithms, Chemical, Computer Simulation, Magnetic Resonance Spectroscopy, Magnetic Resonance Spectroscopy: methods, Models, Molecular, Powders, Quantum Theory, Reproducibility of Results, Sensitivity and Specificity},
	pages = {65--74},
}

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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 gamma-encoded pulse sequences. The validity of the analytical solutions is tested by numerical simulations. The internuclear distance in a (13)C(2)-labelled retinal is estimated by fitting the analytical curves to experimental double-quantum data.","number":"1","urldate":"2014-01-19","journal":"Journal of magnetic resonance (San Diego, Calif. : 1997)","author":[{"propositions":[],"lastnames":["Pileio"],"firstnames":["Giuseppe"],"suffixes":[]},{"propositions":[],"lastnames":["Concistrè"],"firstnames":["Maria"],"suffixes":[]},{"propositions":[],"lastnames":["McLean"],"firstnames":["Neville"],"suffixes":[]},{"propositions":[],"lastnames":["Gansmüller"],"firstnames":["Axel"],"suffixes":[]},{"propositions":[],"lastnames":["Brown"],"firstnames":["Richard","C","D"],"suffixes":[]},{"propositions":[],"lastnames":["Levitt"],"firstnames":["Malcolm","H"],"suffixes":[]}],"month":"May","year":"2007","pmid":"17303455","keywords":"Algorithms, Chemical, Computer Simulation, Magnetic Resonance Spectroscopy, Magnetic Resonance Spectroscopy: methods, Models, Molecular, Powders, Quantum Theory, Reproducibility of Results, Sensitivity and Specificity","pages":"65–74","bibtex":"@article{Pileio2007,\n\ttitle = {Analytical theory of gamma-encoded double-quantum recoupling sequences in solid-state nuclear magnetic resonance.},\n\tvolume = {186},\n\tissn = {1090-7807},\n\turl = {http://www.ncbi.nlm.nih.gov/pubmed/17303455},\n\tdoi = {10.1016/j.jmr.2007.01.009},\n\tabstract = {Many important double-quantum recoupling techniques in solid-state NMR are classified as being gamma-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 gamma-encoded pulse sequences. The validity of the analytical solutions is tested by numerical simulations. 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