title: Operator-based Floquet theory in solid-state NMR.
abstract: This article reviews the application of operator-based Floquet theory in solid-state NMR. Basic expressions for calculating effective Hamiltonians based on van Vleck perturbation theory are reviewed for problems with a single frequency or multiple incommensurate frequencies. Such a treatment allows calculation of effective Hamiltonians for resonant and non-resonant problems. Examples from literature are given for single-mode to triple-mode Floquet problems, covering a wide range of applications in solid-state NMR under magic-angle spinning and radio-frequency irradiation of a single nucleus or multiple nuclei.
authors.affiliation: Physical Chemistry, ETH Zürich, Wolfgang-Pauli-Strasse 10, 8093 Zürich, Switzerland.
authors.forename: Ingo
authors.initials: I
authors.lastname: Scholz
authors.forename: Jacco D
authors.initials: JD
authors.lastname: van Beek
authors.forename: Matthias
authors.initials: M
authors.lastname: Ernst
mesh_terms: D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D012399:Rotation