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Heterogeneous Removal of Water-Soluble Ruthenium Olefin Metathesis Catalyst from Aqueous Media Via Host-Guest Interaction
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Larmor frequency in heterogeneous media.

Valerij G Kiselev1

  • 1Dept. of Radiology, Medical Physics, Medical Center, Faculty of Medicine, University of Freiburg, Freiburg, Germany.

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|January 15, 2019
PubMed
Summary
This summary is machine-generated.

This study analytically determines the Larmor frequency shift in biological tissues, revealing key microstructural parameters influencing water

Keywords:
Larmor frequencyLorentz cavityMagnetic susceptibilityMicrostructurePorous media

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Area of Science:

  • Biophysics
  • Materials Science
  • Magnetic Resonance Imaging

Background:

  • High-precision signal phase measurements in biological tissues are crucial for understanding microstructural properties.
  • The Larmor frequency shift of water in tissues is linked to magnetic heterogeneity and porous media characteristics.

Purpose of the Study:

  • To analytically determine the Larmor frequency shift for water in porous media with magnetic inclusions.
  • To identify the key microstructural parameters governing this shift.

Main Methods:

  • Analytical derivation of the Larmor frequency shift for water in connected pore spaces.
  • Modeling of NMR-invisible magnetized inclusions with arbitrary shape, spatial arrangement, and susceptibility tensor.
  • Consideration of the effectively fast diffusion limit for water molecules.

Main Results:

  • The Larmor frequency shift is analytically described for arbitrary magnetic microstructures.
  • In the fast diffusion limit, only five parameters generally describe the microstructure's effect.
  • For axially symmetric microstructures, a single parameter governs the orientation-dependent Larmor frequency.

Conclusions:

  • The derived analytical result simplifies the interpretation of experimental data on Larmor frequency shifts.
  • This work provides a foundation for developing more realistic models of biological tissue microstructure.
  • The findings are applicable to understanding water dynamics in magnetically heterogeneous environments.