The binding affinities of polyanions for bovine serum albumin in NaCl solutions from I ) 0.01-0.6 M, were evaluated on the basis of the pH at the point of incipient binding, converting each such pH c value into a critical protein charge Z c . Analogous values of critical charge for mixed micelles were obtained as the cationic surfactant mole fraction Y c . The data were well fitted as Y c or Z c ) KI a , and values of K and a were considered as a function of normalized polymer charge densities (τ), charge mobility, and chain stiffness. Binding increased with chain flexibility and charge mobility, as expected from simulations and theory. Complex effects of τ were related to intrapolyanion repulsions within micelle-bound loops (seen in the simulations) or negative protein domainpolyanion repulsions. The linearity of Z c with I at I < 0.3 M was explained by using protein electrostatic images, showing that Z c at I < 0.3 M depends on a single positive "patch"; the appearance of multiple positive domains I > 0.3 M (lower pH c ) disrupts this simple behavior.
The complex formation between a weak polyelectrolyte chain and an oppositely charged
nanoparticle is investigated using Monte Carlo simulations. Global structural parameters such as the
polyelectrolyte length, nanoparticle size, solution pH, and ionic concentration as well as local features,
such as the nanoparticle surface charge density and polyelectrolyte intrinsic stiffness influences, are
systematically investigated. Phase states of the polyelectrolyte/nanoparticle complexes are presented,
and to bridge the gap with experiments, titration curves are calculated. It is shown that the presence of
one oppositely charged nanoparticle significantly modifies the acid/base properties of the weak polyelectrolyte as well as the charge distribution along the polymer backbone and that the solution pH and ionic
concentration largely control the polyelectrolyte conformation at the nanoparticle surface. Chain stiffness
promotes the polyelectrolyte expansion as well as ionization but penalizes the polyelectrolyte adsorption
at the nanoparticle surface, hence affecting its acid/base behavior.
Various models of the complex formation between polyelectrolyte chains and oppositely charged macroions are reviewed. In recent years, a great deal of knowledge of the multitude of possible polyelectrolyte conformations at the macroion surface has been accumulated, which consequently has led to increasing interest in using such complexes in the design of nanomaterials. This review focuses on key studies relating to the effects of various physico-chemical parameters on complex formation and areas for future research are identified.
The conformation and titration curves of weak (or annealed) hydrophobic polyelectrolytes have been examined using Monte Carlo simulations with screened Coulomb potentials in the grand canonical ensemble. The influence of the ionic concentration pH and presence of hydrophobic interactions has been systematically investigated. A large number of conformations such as extended, pearl-necklace, cigar-shape, and collapsed structures resulting from the subtle balance of short-range hydrophobic attractive interactions and long-range electrostatic repulsive interactions between the monomers have been observed. Titration curves were calculated by adjusting the pH-pK(0) values (pK(0) represents the intrinsic dissociation constant of an isolated monomer) and then calculating the ionization degree alpha of the polyelectrolyte. Important transitions related to cascades of conformational changes were observed in the titration curves, mainly at low ionic concentration and with the presence of strong hydrophobic interactions. We demonstrated that the presence of hydrophobic interactions plays an important role in the acid-base properties of a polyelectrolyte in promoting the formation of compact conformations and hence decreasing the polyelectrolyte degree of ionization for a given pH-pK(0) value.
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