Efficient polynomial analysis of magic-angle spinning sidebands and application to order parameter determination in anisotropic samples

<p>Chemical shift tensors in <span class="inline-formula"><sup>13</sup></span>C solid-state NMR provide valuable localized information on the chemical bonding environment in organic matter, and deviations from isotropic static-limit powder line shapes sensitiv...

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Main Authors: G. Hempel, P. Sotta, D. R. Long, K. Saalwächter
Format: Article
Language:English
Published: Copernicus Publications 2021-08-01
Series:Magnetic Resonance
Online Access:https://mr.copernicus.org/articles/2/589/2021/mr-2-589-2021.pdf
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author G. Hempel
P. Sotta
D. R. Long
K. Saalwächter
author_facet G. Hempel
P. Sotta
D. R. Long
K. Saalwächter
author_sort G. Hempel
collection DOAJ
description <p>Chemical shift tensors in <span class="inline-formula"><sup>13</sup></span>C solid-state NMR provide valuable localized information on the chemical bonding environment in organic matter, and deviations from isotropic static-limit powder line shapes sensitively encode dynamic-averaging or orientation effects. Studies in <span class="inline-formula"><sup>13</sup></span>C natural abundance require magic-angle spinning (MAS), where the analysis must thus focus on spinning sidebands. We propose an alternative fitting procedure for spinning sidebands based upon a polynomial expansion that is more efficient than the common numerical solution of the powder average. The approach plays out its advantages in the determination of CST (chemical-shift tensor) principal values from spinning-sideband intensities and order parameters in non-isotropic samples, which is here illustrated with the example of stretched glassy polycarbonate.</p>
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spelling doaj.art-b6d7319601544e7798d32f86ea14eef52022-12-21T22:31:07ZengCopernicus PublicationsMagnetic Resonance2699-00162021-08-01258960610.5194/mr-2-589-2021Efficient polynomial analysis of magic-angle spinning sidebands and application to order parameter determination in anisotropic samplesG. Hempel0P. Sotta1D. R. Long2K. Saalwächter3Martin-Luther-Universität Halle-Wittenberg, Institut für Physik – NMR, Betty-Heimann-Str. 7, 06120 Halle, GermanyIngénierie des Matériaux Polymères, INSA Lyon/CNRS UMR 5223, 17 avenue Jean Capelle, 69621 Villeurbanne CEDEX, FranceUniversité Lyon, INSA Lyon/CNRS, UCBL, MATEIS, UMR5510, 69100 Villeurbanne, FranceMartin-Luther-Universität Halle-Wittenberg, Institut für Physik – NMR, Betty-Heimann-Str. 7, 06120 Halle, Germany<p>Chemical shift tensors in <span class="inline-formula"><sup>13</sup></span>C solid-state NMR provide valuable localized information on the chemical bonding environment in organic matter, and deviations from isotropic static-limit powder line shapes sensitively encode dynamic-averaging or orientation effects. Studies in <span class="inline-formula"><sup>13</sup></span>C natural abundance require magic-angle spinning (MAS), where the analysis must thus focus on spinning sidebands. We propose an alternative fitting procedure for spinning sidebands based upon a polynomial expansion that is more efficient than the common numerical solution of the powder average. The approach plays out its advantages in the determination of CST (chemical-shift tensor) principal values from spinning-sideband intensities and order parameters in non-isotropic samples, which is here illustrated with the example of stretched glassy polycarbonate.</p>https://mr.copernicus.org/articles/2/589/2021/mr-2-589-2021.pdf
spellingShingle G. Hempel
P. Sotta
D. R. Long
K. Saalwächter
Efficient polynomial analysis of magic-angle spinning sidebands and application to order parameter determination in anisotropic samples
Magnetic Resonance
title Efficient polynomial analysis of magic-angle spinning sidebands and application to order parameter determination in anisotropic samples
title_full Efficient polynomial analysis of magic-angle spinning sidebands and application to order parameter determination in anisotropic samples
title_fullStr Efficient polynomial analysis of magic-angle spinning sidebands and application to order parameter determination in anisotropic samples
title_full_unstemmed Efficient polynomial analysis of magic-angle spinning sidebands and application to order parameter determination in anisotropic samples
title_short Efficient polynomial analysis of magic-angle spinning sidebands and application to order parameter determination in anisotropic samples
title_sort efficient polynomial analysis of magic angle spinning sidebands and application to order parameter determination in anisotropic samples
url https://mr.copernicus.org/articles/2/589/2021/mr-2-589-2021.pdf
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