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Updated: May 8, 2026

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Published on: February 16, 2024
T₂ distribution spectra obtained by continuum fitting method using a mixed Gaussian and Exponential kernel function
Haijin Zhu1, Hendrik P Huinink, Pieter C M M Magusin
1Department of Applied Physics, Transport in Permeable Media, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands; Duth Polymer Institute (DPI), P.O. Box 902, 5600 AX Eindhoven, The Netherlands; Institute for Frontier Materials and the ARC Centre of Excellence for Electromaterials Science, Deakin University, Geelong, VIC 3216, Australia.
Abstract:
Static (1)H NMR Free Induction Decay (FID) signals of polymer solids contain a lot of information about the molecular dynamics. A T2 analysis of the FID has generally been performed in terms of discrete two- or three-component models. However, this requires a priori assumption of the number of proton species before analysis. This paper presents a method of analyzing the FIDs of the polymer solid samples in terms of a continuous T2 distribution. A mixed Gaussian and Exponential kernel function was used to represent the true characteristic of FIDs of the polymer solids. A simple and realistic assumption has been made to reduce the number of degrees of freedom in the continuum fitting and to make the fitting stable. An experimental static (1)H NMR FID of a typical polymer solid sample was analyzed as an example in the end to demonstrate the application of this method.
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