Natural-abundance 13 C T 1 and NOE measurements have been made for backbone and side-chain sites in peptide fragments of transthyretin (TTR 10-20, TTR 105-115, and TTR 105-115 Met111 ) at 13 C Larmor frequencies of 125 and 75 MHz. These peptides have previously been implicated in the formation of amyloid fibrils, The data were systematically assessed for their consistency with theoretical relaxation parameters derived from models of molecular motion, It was shown that of four models, ranging from simple isotropic motion to one defining internal wobbling of the 13 C- 1 H vector, the "model-free approach" (Lipari and Szabo, J. Am. Chem. Soc.104, 4546, 1982) was best able to predict the experimental data, These peptides exhibited overall correlation times close to 1 ns. Internal motions with effective correlation times of 0.08 ns were observed for backbone carbon sites, and side-chain carbons exhibited more rapid and less ordered motions, No indication of retarded motion due to the presence of small peptide aggregates was detected, in agreement with reports of the rapid incorporation of these species into amyloid fibrils.