An analytical form describing T₂ dispersions resulting from diffusive exchange

Abstract

Dispersions in the ¹HT ₂(Carr-Purcell-Meiboom-Gill) relaxation behaviour analogous to those well known to result from chemical exchange have been generated by numerical simulations of fast diffusive exchange between two spatially resolved regions having distinct NMR parameters. These resultant curves have been successfully fitted to a Carver-Richards functional form. Hence, apparent exchange rates and geometry-dependent scaling factors of the frequency difference between regions have been extracted, which allow dispersions arising from spatially heterogeneous systems to be described by a two-site exchange model.