THEORY OF CHEMICAL EXCHANGE EFFECTS IN MAGNETIC RESONANCE.

Abstract

The Anderson-Weiss formalism is used to develop a general theory for calculating the effects of chemical exchange and spin coupling on echo amplitudes in Carr-Purcell pulse sequences on spin systems in the liquid phase. The theory is shown to involve the matrix integral solution of the Hahn-Maxwell-McConnell equations generalized to include spin coupling, and of Alexander's equations for the relevant density matrix elements, subject to the boundary conditions imposed by the pulses. Some specific systems are treated in detail, and closed formulas are given for the decay of the echo train in several situations, including the coupled and uncoupled AB systems, and the coupled ABX and ABXq systems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 03, 1965
Accession Number
AD0468671

Entities

People

  • E. J. Wells
  • Herbert S. Gutowsky
  • R. L. Vold

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Couplings
  • Equations
  • Integrals
  • Liquid Phases
  • Liquids
  • Magnetic Resonance
  • Mathematics
  • Phase
  • Resonance
  • Sequences

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Quantum Chemistry
  • Radar Systems Engineering.