A simple model is used to illustrate the relationship between the dynamics measured by NMR relaxation methods and the local residual entropy of proteins. The expected local dynamic behavior of well-packed extended amino acid side chains are described by employing a one-dimensional vibrator that encapsulates both the spatial and temporal character of the motion. This model is then related to entropy and to the generalized order parameter of the popular "model-free" treatment often used in the analysis of NMR relaxation data. Simulations indicate that order parameters observed for the methyl symmetry axes in, for example, human ubiquitin correspond to significant local entropies. These observations have obvious significance for the issue of the physical basis of protein structure, dynamics, and stability.Keywords: protein dynamics; protein stability; protein entropy; NMR relaxationThe physical basis of protein structure, dynamics, and stability has been a subject of intense study and debate for several decades. While the taxonomy of protein structure appears to be well understood, a similar depth of understanding of the existence and character of the dynamics of proteins remains to be developed (for a review, see Frauenfelder et al., 1991). These issues are fundamental to a complete understanding of the origins, temporal behavior, and marginal stability of protein structure. For example, empirical evidence indicates that entropic effects dominate the free energy changes that accompany folding of a solvated "random coil" polypeptide usually to a dominant structure of lower free energy. The observed net increase in system entropy upon folding has been attributed to the dominance of a large increase in solvent entropy upon side-chain dehydration over a putatively smaller decrease in side-chain entropy upon packing in the folded globular state. have extremely high packing densities, which in turn, suggests that proteins are rigid with residual motion being extremely restricted and local. Accordingly, in discussions of protein stability and related issues, it is commonly assumed that the residual entropy of proteins is negligible. Nevertheless, over the past two decades there has been an accumulation of experimental (vide infra) and computational evidence (e.g., Karplus et al., 1987) that suggests quite a different view-that proteins are quite dynamic on time scales relevant to the question of residual entropy (for a recent review, see Doig and Sternberg, 1995). The magnitude of the residual entropy of proteins is of critical importance to an understanding of protein structure, stability, and ultimately function. In principle, nuclear magnetic resonance spectroscopy can be employed to estimate the local dynamics throughout a protein. Though comprehensive studies of the backbone dynamics of proteins based on analysis of I5N relaxation have appeared, it is only recently that general techniques have emerged to probe the fast dynamics of amino acid side chains. Earlier approaches employing 13C relaxation in selec...