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Efficient polynomial analysis of magic-angle spinning sidebands and application to order parameter determination in
Günter Hempel1, Paul Sotta2, Didier R Long3
1Martin-Luther-Universität Halle-Wittenberg, Institut für Physik - NMR, Betty-Heimann-Str. 7, 06120 Halle, Germany.
Magnetic Resonance (Gottingen, Germany)
|October 31, 2023
Summary
We developed a new, efficient method for analyzing spinning sidebands in solid-state NMR. This technique accurately determines chemical shift tensor values and order parameters in non-isotropic materials like polycarbonate.
Area of Science:
- Solid-state Nuclear Magnetic Resonance (NMR) spectroscopy.
- Materials science and polymer characterization.
Background:
- Carbon-13 (¹³C) chemical shift tensors (CST) offer localized insights into organic matter's chemical bonding.
- Deviations in NMR spectra indicate dynamic averaging or orientation effects.
- Magic-angle spinning (MAS) is crucial for ¹³C natural abundance studies, necessitating analysis of spinning sidebands.
Purpose of the Study:
- To introduce a more efficient fitting procedure for analyzing spinning sidebands in solid-state NMR.
- To enable accurate determination of CST principal values and order parameters in non-isotropic samples.
Main Methods:
- A novel fitting procedure based on polynomial expansion for analyzing spinning sidebands.
- Application of the method to stretched glassy polycarbonate samples.
- Comparison with traditional numerical solutions for powder averaging.
Main Results:
- The proposed polynomial expansion method is more efficient than conventional numerical solutions.
- Successful determination of CST principal values and order parameters from spinning sideband intensities.
- Demonstration of the method's utility in non-isotropic systems.
Conclusions:
- The new fitting procedure offers an advantageous approach for CST analysis in solid-state NMR.
- This method enhances the study of dynamic averaging and orientation effects in complex materials.
- The technique is particularly valuable for characterizing non-isotropic organic matter.
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