Complex formation between small carboxyl-terminated dendritic polymers and
oppositely charged poly(dimethyldiallylammonium chloride) was monitored by
turbidimetry, dynamic light scattering, viscometry and potentiometric titra
tion. All techniques reveal a discontinuity at a well-defined pH, correspon
ding to the point of incipient complex formation. Conversion of this critic
al pH to a surface charge density sigma(crit) leads to the observation that
sigma(crit), to a first approximation, varies linearly with the Debye-Huck
el parameter kappa and that binding occurs more easily (i.e., at lower sigm
a(crit)) for the larger dendrimer. A model is presented in which the distor
tion of the polyelectrolyte backbone in the complex is described in terms o
f the elastic resistance to bending around the contour of the spherical mac
roion, acting in opposition to attractive Coulombic forces. The elastic res
istance is treated as a Hookean effect obtained from the measured persisten
ce length. This simple theory produces the principal features of the experi
mental system.