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An analytical formulation of CPMAS

TitleAn analytical formulation of CPMAS
Publication TypeJournal Article
Year of Publication2003
AuthorsMarica, F, Snider, RF
JournalSolid State Nuclear Magnetic Resonance
Volume23
Pagination28-49
Date PublishedFeb-Mar
Type of ArticleArticle
ISBN Number0926-2040
KeywordsCPMAS, cross polarization, CROSS-POLARIZATION EXPERIMENTS, DYNAMICS, equation, generalized master equation, magic-angle spinning, MAGNETIC-RESONANCE, NMR, quantum Liouville, SOLIDS, TRANSIENT OSCILLATIONS
Abstract

An exact expression for the cross polarization between two spin1/2 particles is derived from the quantum Liouville equation. This is given in the form of two integrodifferential equations. These can be solved exactly in the static case (no sample spinning) and a powder average easily performed numerically. With magic-angle spinning, the neglect of certain interference terms simplifies the numerical calculation. A further assumption decoupling the calculation of the sidebands gives a very simple formula that is capable of giving a qualitative interpretation of all experimental observations. Examples are given illustrating typical buildup curves and CPMAS matching profiles. (C) 2002 Elsevier Science (USA). All rights reserved.

URL<Go to ISI>://000181957200003