Here we use mechanical force to induce the unfolding and refolding of singl
e RNA molecules: a simple RNA hairpin, a molecule containing a three-helix
junction, and the P5abc domain of the Tetrahymena thermophila ribozyme. All
three molecules (P5abc only in the absence of Mg2+) can be mechanically un
folded at equilibrium, and when kept at constant force within a critical fo
rce range. are bi-stable and hop between folded and-unfolded states. We det
ermine the force-dependent equilibrium constants for folding/unfolding thes
e single RNA molecules and the positions of their transition states along t
he reaction coordinate.