M. Andrec et al., Lipari-Szabo mapping: A graphical approach to Lipari-Szabo analysis of NMRrelaxation data using reduced spectral density mapping, J BIOM NMR, 18(2), 2000, pp. 83-100
In this paper, we explore connections between the Lipari-Szabo formalism an
d reduced spectral density mapping, and show how spectral density estimates
can be associated with Lipari-Szabo parameters via a simple geometric cons
truction which we call Lipari-Szabo mapping. This relationship can be used
to estimate Lipari-Szabo parameters from spectral density estimates without
the need for nonlinear optimization, and to perform 'model selection' in a
graphical manner. The Lipari-Szabo map also provides insight into the Lipa
ri-Szabo model, and allows us to determine when a given set of experimental
spectral densities are inconsistent with the Lipari-Szabo formalism. Pract
ical applications of Lipari-Szabo mapping in conjunction with more traditio
nal analysis methods are discussed.