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Spin dynamics under magic angle spinning by Floquet formalism

Domenii publicaţii > Fizica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: C. Filip, X. Filip, D.E. Demco and S. Hafner

Editorial: Molec. Phys., 92, p.757-771, 1997.


A new analytical method is presented for studying in a uniform way the spin dynamics in NMR experiments performed under the conditions of magic angle spinning. It was derived on the basis of formalized Floquet theory and consists of transforming the Fourier- state representation of the NMR signal into an integral one. The integral representation proves to be well suited in combination with Reyleigh-Schroedinger perturbation theory for both the fast and the slow spinning regimes. The corresponding perturbation expansions can be readily extended to higher-order correction terms, which also allows the inclusion of more moderate spinning speeds. Explicit expressions of the perturbation series were derived for both spinning regimes and applied to the case of isolated dipolar-coupled spin-1/2 pairs for which the results can be compared with those obtained by exact evaluation of the equation of motion.

Cuvinte cheie: solid state NMR, spin dynamics, magic angle spinning, Floquet theory