We used a force-measuring laser tweezers apparatus to determine the elastic properties of -bacteriophage DNA as a function of ionic strength and in the presence of multivalent cations. The electrostatic contribution to the persistence length P varied as the inverse of the ionic strength in monovalent salt, as predicted by the standard worm-like polyelectrolyte model. However, ionic strength is not always the dominant variable in determining the elastic properties of DNA. Monovalent and multivalent ions have quite different effects even when present at the same ionic strength. Multivalent ions lead to P values as low as 250-300 Å, well below the high-salt ''fully neutralized'' value of 450-500 Å characteristic of DNA in monovalent salt. The ions Mg 2؉ and Co(NH 3 ) 6 3؉ , in which the charge is centrally concentrated, yield lower P values than the polyamines putrescine 2؉ and spermidine 3؉ , in which the charge is linearly distributed. The elastic stretch modulus, S, and P display opposite trends with ionic strength, in contradiction to predictions of macroscopic elasticity theory. DNA is well described as a worm-like chain at concentrations of trivalent cations capable of inducing condensation, if condensation is prevented by keeping the molecule stretched. A retractile force appears in the presence of multivalent cations at molecular extensions that allow intramolecular contacts, suggesting condensation in stretched DNA occurs by a ''thermal ratchet'' mechanism.Ions strongly affect such biologically significant behavior of DNA as wrapping around nucleosomes, packaging inside bacteriophage capsids, and binding to proteins involved in transcriptional initiation and elongation. While such influence is often explained by relatively simple ion exchange equilibria (1, 2), in many cases ions appear to exert their effect by modifying the structure and mechanical properties of DNAits bending and torsional rigidity. The study of the ionic dependence of the elastic properties of DNA is therefore essential to understand the energetics of these key biological processes.Recent technical advances in nanomanipulation have allowed the mechanical behavior of single DNA molecules to be studied. Magnetic beads (3, 4), micro fibers (5), optical traps (6), and hydrodynamic flow (7) have been used to apply a wide range of forces to individual bacteriophage DNA molecules. Smith et al. (6) have recently described three regimes in the elastic response of -bacteriophage DNA ( DNA) molecules. Between 0.01 and 10 pN, the molecule behaves as an entropic spring and is well described by the worm-like chain (WLC) model (8-10), from which a persistence length, P, and a contour length, L o , can be obtained. Between 10 and 65 pN, the molecule deviates from the predictions of the inextensible WLC as it extends beyond its B-form contour length. From this ''enthalpic elasticity'' regime an elastic stretch modulus, S, can be obtained. Finally, at about 65 pN, the molecule suddenly yields in a highly cooperative fashion and overstretches Ϸ1....