title: Multipole-multimode Floquet theory in nuclear magnetic resonance.
abstract: In this paper, we present a new analytical approach for describing the spin dynamics of synchronous and asynchronous time-dependent modulations in solid-state nuclear magnetic resonance experiments. The approach, based on multimode Floquet theory, employs the multipole operator basis of Sanctuary for spin description and illustrates the time evolution in the Floquet-Liouville space using the effective Hamiltonians obtained from the contact (or van Vleck) transformation procedure. Since the Hamiltonian and the density operator are expressed in terms of irreducible tensor operators, extensions to higher spin magnitudes (I>12) and multiple spins are quite straightforward and permit analytical treatments for many problems. We outline the general underlying principles involved in this approach with a brief mention of its potential application in other branches of spectroscopy.
authors.affiliation: Francis Bitter Magnet Laboratory and Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
authors.forename: Ramesh
authors.initials: R
authors.lastname: Ramachandran
authors.forename: Robert G
authors.initials: RG
authors.lastname: Griffin
mesh_terms: D000465:Algorithms; D007700:Kinetics; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D008962:Models, Theoretical; D036103:Nanotechnology / Q000379:methods*; D013113:Spin Labels
chemical_list: D013113:Spin Labels