NMR lineshape analysis of exchanging systems. Mapping onto harmonic oscillator 
equations; A new analytically solvable case and experiments on K2C2O2·D2O

Keller, A.; Benz, Sonja; Haeberlen, Ulrich

doi:10.1016/0022-2364(87)90148-X

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NMR lineshape analysis of exchanging systems. Mapping onto harmonic oscillator equations; A new analytically solvable case and experiments on K2C2O2·D2O

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Haeberlen, Ulrich
Department of Molecular Physics, Max Planck Institute for Medical Research, Max Planck Society;

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Citation

Keller, A., Benz, S., & Haeberlen, U. (1987). NMR lineshape analysis of exchanging systems. Mapping onto harmonic oscillator equations; A new analytically solvable case and experiments on K2C2O2·D2O. Journal of Magnetic Resonance, 72(3), 434-448. doi:10.1016/0022-2364(87)90148-X.

Cite as: https://hdl.handle.net/21.11116/0000-0008-230F-1

Abstract

A complete analytical solution is presented of the NMR bandshape of an exchanging pair of dipolar coupled spin-1 nuclei. It is shown that this case belongs to a separate class of exchange problems which we call two-level exchange. This class can be mapped onto harmonic oscillator equations with complex damping constants. A classification of the solvable and nonsolvable two-site exchange problems is given. Experiments are carried out on a single crystal of deuterated potassium oxalate monohydrate. Spectra which display all possible features from the extremely slow to the extremely fast exchange limits are presented and analyzed.