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Updated: Jul 9, 2026

Dissolution Dynamic Nuclear Polarization Instrumentation for Real-time Enzymatic Reaction Rate Measurements by NMR
Published on: February 23, 2016
Nuclear spin dynamics using time-dependent projection operators: application to the saturation of dipolar order in
T Charpentier1, D Sakellariou, J Virlet
1Laboratoire de Structure et Dynamique par Résonance Magnétique, CEA/DSM/DRECAM/SCM-CNRS URA 331, CEA Saclay, 91191 Gif-sur-Yvette cedex, France. thibault.charpentier@cea.fr
Abstract:
An extension of the projection operators method is presented by considering explicit time-dependent projection operators. The usefulness of the present formalism is demonstrated by an investigation of nonadiabatic corrections to the evolution of a many-body system under a slow motion. A theoretical and experimental study of the saturation of nuclear spins dipolar order induced by a slow sample rotation is presented. Theoretically, the master equation of the dipolar order beyond the limit of an adiabatic evolution is established. It is shown how the time dependence of the projection operators is related to saturation of the dipolar order. A formal expression of the saturation rate is derived and its dependence upon the angle between rotation axis and external magnetic field is derived. Comparison with experimental data obtained on polycrystalline adamantane validates our theoretical approach.
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