Data processing in NMR relaxometry using the matrix pencil

Area of Science:

• Nuclear Magnetic Resonance (NMR) Spectroscopy
• Materials Science
• Analytical Chemistry

Background:

• Nuclear Magnetic Resonance (NMR) relaxometry is crucial for characterizing materials.
• Accurate data processing is essential for reliable determination of relaxation times (T1, T2) and diffusion coefficients (D).
• The inverse Laplace transform (ILT) is a common but sometimes limited method for analyzing NMR relaxometry data.

Purpose of the Study:

• To evaluate the matrix pencil method (MPM) for stable and reproducible NMR relaxometry data processing.
• To compare the performance of MPM against the benchmark inverse Laplace transform (ILT).
• To assess the utility of MPM in analyzing complex mixtures and dynamic processes.

Main Methods:

• Application of the matrix pencil method (MPM) to 1D and 2D NMR relaxometry data.
• Utilized a standard olive oil/water mixture for T1, T2, and D measurements.
• Compared MPM with the inverse Laplace transform (ILT) using experimental data from a polymer drying system and polysialic acid digestion.

Main Results:

• MPM demonstrated stable and reproducible data processing capabilities in NMR relaxometry.
• MPM provided superior resolution and stability in determining fundamental constants compared to ILT.
• Analysis of complex systems, including polymer drying and enzymatic digestion, showed advantages of MPM.

Conclusions:

• The matrix pencil method (MPM) is a promising technique for advanced NMR relaxometry data analysis.
• MPM offers significant advantages in resolution and stability for characterizing complex materials and mixtures.
• MPM represents a valuable alternative to ILT for obtaining accurate fundamental constants from NMR data.