Precise dipolar coupling constant distribution analysis in proton multiple-quantum NMR of elastomers |
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Authors: | Chassé Walter López Valentín Juan Genesky Geoffrey D Cohen Claude Saalwächter Kay |
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Institution: | Institut fu?r Physik-NMR, Martin-Luther-Universita?t Halle-Wittenberg, Betty-Heimann-Str. 7, D-06120 Halle, Germany. walter.chasse@physik.uni-halle.de |
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Abstract: | In this work we present an improved approach for the analysis of (1)H double-quantum nuclear magnetic resonance build-up data, mainly for the determination of residual dipolar coupling constants and distributions thereof in polymer gels and elastomers, yielding information on crosslink density and potential spatial inhomogeneities. We introduce a new generic build-up function, for use as component fitting function in linear superpositions, or as kernel function in fast Tikhonov regularization (ftikreg). As opposed to the previously used inverted Gaussian build-up function based on a second-moment approximation, this method yields faithful coupling constant distributions, as limitations on the fitting limit are now lifted. A robust method for the proper estimation of the error parameter used for the regularization is established, and the approach is demonstrated for different inhomogeneous elastomers with coupling constant distributions. |
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