Spins swing like pendulums do: an exact classical model for TOCSY transfer in systems of three isotropically coupled spins 1/2

Raimund Marx; Steffen J Glaser

doi:10.1016/s1090-7807(03)00238-6

Spins swing like pendulums do: an exact classical model for TOCSY transfer in systems of three isotropically coupled spins 1/2

J Magn Reson. 2003 Oct;164(2):338-42. doi: 10.1016/s1090-7807(03)00238-6.

Authors

Raimund Marx¹, Steffen J Glaser

Affiliation

¹ Institut für Organische Chemie und Biochemie, Technische Universität München, Lichtenbergstrasse 4, 85747 Garching, Germany.

PMID: 14511602
DOI: 10.1016/s1090-7807(03)00238-6

Abstract

An exact correspondence is found between the quantum dynamics of three isotropically coupled spins 1/2 and the dynamics of three coupled classical oscillators. This correspondence is demonstrated by experimentally simulating the polarization transfer functions of an isotropic mixing TOCSY experiment with a set of mechanically coupled pendulums. The extend to which the exact correspondence holds is analyzed and it is shown that it breaks down for systems consisting of more than three coupled spins.