The study of RNA structure using x-ray crystallography or NMR has yielded a wealth of detailed structural information; however, such approaches do not generally yield quantitative information regarding long-range f lexibility in solution. To address this issue, we describe a solution-based method that is capable of characterizing the global f lexibilities of nonhelix elements in RNA, provided that such elements are f lanked by helix (e.g., bulges, internal loops, or branches). The ''phased ratio'' method is based on the principle that, for RNA molecules possessing two variably phased bends, the relative birefringence decay times depend on the f lexibility of each bend, not simply the mean bend angles. The method is used to examine the overall f lexibility of the yeast tRNA Phe core (as unmodified transcript). In the presence of magnesium ions, the tRNA core is not significantly more f lexible than an equivalent length of RNA helix. In the absence of divalent ions, the tRNA core gains f lexibility under conditions where its secondary structure is likely to be largely preserved. The phased ratio approach should be broadly applicable to nonhelix elements in both RNA and DNA and to protein-nucleic acid interactions.
Yeast tRNAPhe is a paradigm for the study of tertiary structure in RNA: its crystal structure is well-established (1-3), and under comparable ionic conditions, the crystal and solution structures possess nearly identical anticodon-acceptor (mean) interstem angles (1, 4, 5). However, relatively little is known regarding the global flexibility of the tRNA core. Harvey and coworkers (6) have considered the issue of hinge-type flexibility from the computational perspective, noting that largeamplitude bending motions between the acceptor and anticodon domains are not energetically prohibitive. However, a more recent normal-mode analysis of the bending motions for yeast tRNA Phe suggests that the actual range of hinge-type distortions is likely to be small in the absence of external forces (7), a result that is consistent with the small temperature factors for the crystal structure