The problem of how ions influence the folding of RNA into specific tertiary structures is being addressed from both thermodynamic (by how much do different salts affect the free energy change of folding) and structural (how are ions arranged on or near an RNA and what kinds of environments do they occupy) points of view. The challenge is to link these different approaches in a theoretical framework that relates the energetics of ion-RNA interactions to the spatial distribution of ions. This review distinguishes three different kinds of ion environments that differ in the extent of direct ion-RNA contacts and the degree to which the ion hydration is perturbed, and summarizes the current understanding of the way each environment relates to the overall energetics of RNA folding.

RNA molecules in monovalent salt solutions generally adopt a set of partially folded conformations containing only secondary structure, the intermediate or I state. Addition of Mg2+ strongly stabilizes the native tertiary structure (N state) relative to the I state. In this paper, a combination of experimental and computational approaches is used to estimate the free energy of the interaction of Mg2+ with partially folded I state RNAs and to consider the possibility that Mg2+ favors "compaction" of the I state to a set of conformations with a higher average charge density. A sequence variant with a drastically destabilized tertiary structure was used as a mimic of I state RNA; as measured by small-angle X-ray scattering, it adopted a progressively more compact conformation over a wide Mg2+ concentration range. Average free energies of the interaction of Mg2+ with the I state mimic were obtained by a fluorescence titration method. To interpret these experimental data further, we generated molecular models of the I state and used them in calculations with the nonlinear Poisson-Boltzmann equation to estimate the change in Mg2+-RNA interaction free energy as the average I state dimensions decrease from expanded to compact. The same models were also used to reproduce quantitatively the experimental difference in excess Mg2+ between N and I states. On the basis of these experiments and calculations, I state compaction appears to enhance Mg2+-I state interaction free energies by 10-20%, but this enhancement is at most 5% of the overall Mg2+-associated stabilization free energy for this rRNA fragment.