Analysis of Slow Motion by Multidimensional NMR

  • B. Blümich
  • S. Han
  • C. Heine
  • R. Eymael
  • M. Bertmer
  • S. Stapf
Chapter
Part of the NATO Science Series book series (NAII, volume 76)

Abstract

Slow translational motion is conventionally probed by magnetic gradient fields which are manipulated in time so that different moments of the gradient modulation function are either adjusted to zero or stepped through a range of values for subsequent Fourier transformation to obtain the displacement propagators, and probability densities of motional parameters like position, velocity and acceleration. It is shown, that this formalism is not restricted to time-dependent linear fields to probe translational motion, but can be applied to time-dependent offset fields in general with arbitrary parameter dependences including angular dependences to probe rotational motion. Three cases are considered in particular: a linear space dependence, a quadratic space dependence, and an angular dependence of the offset field following the second Legendre polynomial. Experimental examples concern position exchange NMR of laminar flow through a narrowing pipe and velocity exchange NMR for a hollow fiber filtration module with pulsed linear fields, laminar flow through a pipe in a time-invariant parabolic field profile, and 13C solid-state exchange of dimethyl sulfone in a homogeneous polarization field.

Keywords

Cellulose Filtration Coherence Dimethyl Expense 

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Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • B. Blümich
    • 1
  • S. Han
    • 1
  • C. Heine
    • 1
  • R. Eymael
    • 1
  • M. Bertmer
    • 1
  • S. Stapf
    • 1
  1. 1.Institute for Technical Chemistry and Macromolecular Chemistry RWTHAachenGermany

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