We have found that divalent electrolyte counterions common in biological ce
lls (Ca2+, Mg2+, and Mn2+) can condense anionic DNA molecules confined to t
wo-dimensional cationic surfaces. DNA-condensing agents in vivo include cat
ionic histones and polyamines spermidine and spermine with sufficiently hig
h valence (Z) 3 or larger. In vitro studies show that electrostatic forces
between DNA chains in bulk aqueous solution containing divalent counterions
remain purely repulsive, and DNA condensation requires counterion valence
Z greater than or equal to 3. In striking contrast to bulk behavior, synchr
otron x-ray diffraction and optical absorption experiments show that above
a critical divalent counterion concentration the electrostatic forces betwe
en DNA chains adsorbed on surfaces of cationic membranes reverse from repul
sive to attractive and lead to a chain collapse transition into a condensed
phase of DNA tethered by divalent counterions. This demonstrates the impor
tance of spatial dimensionality to intermolecular interactions where nonspe
cific counterion-induced electrostatic attractions between the like-charged
polyelectrolytes overwhelm the electrostatic repulsions on a surface for Z
= 2. This new phase, with a one-dimensional counterion liquid trapped betw
een DNA chains at a density of 0.63 counterions per DNA bp, represents the
most compact state of DNA on a surface in vitro and suggests applications i
n high-density storage of genetic information and organo-metallic materials
processing.