2009
DOI: 10.1016/j.ces.2009.01.020
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Modeling 1H NMR transverse magnetization decay in polysiloxane-silica composites

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Cited by 12 publications
(9 citation statements)
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“…as opposed to a molecular weight dependent C n , the assumption that the end-to-end distance squared is Gaussian, and that motions about this end-to-end vector are ideal. 22,47,48 Despite these assumptions the NMR data is observed to behave roughly as expected:…”
Section: Multiple Quantum Nmrmentioning
confidence: 89%
“…as opposed to a molecular weight dependent C n , the assumption that the end-to-end distance squared is Gaussian, and that motions about this end-to-end vector are ideal. 22,47,48 Despite these assumptions the NMR data is observed to behave roughly as expected:…”
Section: Multiple Quantum Nmrmentioning
confidence: 89%
“…The application of the MSE yields an FID that is a superposition of decaying exponentials whose amplitudes and time constants are representative of unique molecular motion distributions within the material. However, the extraction of this information is mathematically nontrivial. , Direct nonlinear regression to an unknown sum of exponentials is possible yet impractical as it requires a priori knowledge of the relaxation behavior of the material of study. Ideally, a mathematical transform is sought to deconvolute the time domain data into a spectral domainmuch akin to a fast Fourier transform.…”
Section: Experimental Sectionmentioning
confidence: 99%
“…However, the extraction of this information is mathematically nontrivial. 25,26 Direct nonlinear regression to an unknown sum of exponentials is possible yet impractical as it requires a priori knowledge of the relaxation behavior of the material of study. Ideally, a mathematical transform is sought to deconvolute the time domain data into a spectral domainmuch akin to a fast Fourier transform.…”
Section: ■ Experimental Sectionmentioning
confidence: 99%
“…26,33 Though a gross simplification, however, the relative amount of long T 2 domains can be treated as proportional to the sol fraction, and relative fractional changes in the long T 2 domains are thus related to the relative changes in sol fraction.…”
Section: Nmr Methodsmentioning
confidence: 99%