Monitoring polydispersity by NMR diffusometry with tailored norm regularisation and moving-frame processing
Journal article, 2016

Nuclear magnetic resonance (NMR) is currently one of the main analytical techniques applied in numerous branches of chemistry. Furthermore, NMR has been proven to be useful to follow in situ reactions occurring on a time scale of hours and days. For complicated mixtures, NMR experiments providing diffusion coefficients are particularly advantageous. However, the inverse Laplace transform (ILT) that is used to extract the distribution of diffusion coefficients from an NMR signal is known to be unstable and vulnerable to noise. Numerous regularisation techniques to circumvent this problem have been proposed. In our recent study, we proposed a method based on sparsity-enforcing l(1)-norm minimisation. This approach, which is referred to as ITAMeD, has been successful but limited to samples with a 'discrete' distribution of diffusion coefficients. In this paper, we propose a generalisation of ITAMeD using a tailored l(p)-norm (1 <= p <= 2) to process, in particular, signals arising from 'polydisperse' samples. The performance of our method was tested on simulations and experimental datasets of polyethylene oxides with varying polydispersity indices. Finally, we applied our new method to monitor diffusion coefficient and polydispersity changes of heparin undergoing enzymatic degradation in real time.

field gradient nmr

Chemistry

dosy

inversion

mixtures

curve resolution

spectroscopy

polymers

diffusion measurements

algorithm

nuclear-magnetic-resonance

Author

M. Urbanczyk

Diana Bernin

University of Gothenburg

A. Czuron

Krzysztof Kazimierczuk

The Analyst

0003-2654 (ISSN) 1364-5528 (eISSN)

Vol. 141 5 1745-1752

Subject Categories

Chemical Sciences

DOI

10.1039/c5an02304a

PubMed

26824089

More information

Created

10/10/2017