Tutorial on analytic theory for cross‐polarization in solid state NMR

Abstract

AbstractThis tutorial aims to be a self‐contained and explicit analysis of the basic cross polarization (CP) solid‐state NMR experiment (SSNMR) in the isolated spin‐pair approximation using standard quantum mechanical arguments. The general result of obtaining coherence transfer between two dipolar coupled spin‐active nuclei while applying radio frequency fields to both nuclei is described, with emphasis on the origin of the well known Hartmann‐Hahn matching conditions. No new theory is presented; rather several common analytical methods in SSNMR are demonstrated in the context of cross‐polarization under static and magic‐angle spinning (MAS) conditions. A background in NMR and quantum mechanics is assumed, however this work attempts to minimize the need for excursions into the literature. This article was written to aid a reader in advancing into more detailed descriptions of CP and dipolar recoupling in general. © 2008 Wiley Periodicals, Inc. Concepts Magn Reson Part A 32A: 254–276, 2008.