Measurements of the effect of DNA on rates of bimolecular energy transfer between ions provide a direct indication of how cations cluster in regions near DNA and how anions are repelled from the same regions. Energy transfer from luminescent lanthanide ions (in the "rapid-diffusion" limit) probes collision frequencies that are dependent on the equilibrium spatial distributions of ions. The addition of 1 mM DNA (phosphate) to a 2 mM salt solution increases the overall collision frequency between monovalent cations by a factor of 6 ± 1.5; it increases the divalent-monovalent cation collision frequency by a factor of 29 ± 3; and it decreases the divalent cation-monovalent anion collision frequency by a factor of 0.24 ± 0.03. Comparisons are made with the changes in collision frequencies predicted by several different theoretical descriptions of ion distributions. The closest agreement with experimental results for monovalent ions at 1 mM DNA is obtained with a static accessibility-modified discrete charge calculation, Theoretical calculations of the electrostatic potential and the distribution ofions around DNA have been carried out by many authors (e.g., refs. 6-14). On the other hand, experimental techniques for studying these properties usually have been limited to observing either the effect of DNA on bulk thermodynamic properties of the solution (6,(15)(16)(17) or the dependence of ligand binding on electrolyte concentration (18,19). NMR spectroscopy of 23Na+ can report directly on ions near DNA, but interpretation is complicated because of the mechanisms of nuclear relaxation involved (20)(21)(22)(23)(24).In principle, the effect of a polyelectrolyte on ion-ion collision frequencies can be used to test theoretical descriptions of the distribution of ions around the polyion (25). However, despite numerous reports concerning the effects of polyelectrolytes on bimolecular chemical reaction rates (refs. 26 and 27 and references therein), quantitative comparisons with theory are lacking.The experimental measurement and analysis of interactions between ions in solution is straightforward using energy transfer in the rapid-diffusion limit (28-30). With terbium chelates as donors, and simple transition-metal complexes as acceptors, the energy transfer rate depends on the donoracceptor collision frequency (30). Ion-ion energy-transfer rates in the presence of a polyelectrolyte like DNA depend directly on the spatial distribution of the ions around each DNA molecule. For example, adding DNA should enhance the rate of energy transfer from one cation to another, due to clustering of cations near DNA.
RATIONALERelation Between Ion Distributions and Energy-Transfer Measurements. Energy transfer in the rapid-diffusion limit can be used to probe equilibrium properties of solutions, such as ion distributions, because the lifetime of the observed luminescence (-1 msec) is very long compared to the time required for an ion to diffuse through a representative sample of the solution. As a consequence, all energy donors ...