Title | An analytical formulation of CPMAS |
Publication Type | Journal Article |
Year of Publication | 2003 |
Authors | Marica, F, Snider, RF |
Journal | Solid State Nuclear Magnetic Resonance |
Volume | 23 |
Pagination | 28-49 |
Date Published | Feb-Mar |
Type of Article | Article |
ISBN Number | 0926-2040 |
Keywords | CPMAS, 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 |