Polyion interchange reactions of interpolyelectrolyte complexes in aqueous solutions and gels

Cooperative coupling reaction between two opposite charged polyelectrolytes results in formation of polyelectrolyte complexes (IPEC). This reaction is very fast and diffusion controlled. Whether IPECs formed by linear polyions are soluble or limitary swellable in aqueous media is decided by their composition, namely, by a ratio of oppositely charged polyions as well as by a water phase composition (the nature and the concentration of a simple salt, pH, the presence and the concentration of organic additives etc.). The most important intrinsic property of IPECs is their ability to participate in interchange (exchange and substitution) reactions with competing polyions. The kinetics and the position of equilibria in these reactions are controlled by the low molecular salt concentration, the nature of small counterions, DP of interaction polyelectrolytes, as well as by their linear charge density. IPECs can be formed also by interacting linear and opposite charged networks. It is shown that linear polyelectrolytes dissolved in aqueous solution can penetrate unexpectedly fast into oppositely charged cross-linked polyelectrolyte gels to form “snake-in-cage” composites representing IPECs of corresponding polyion segments. It is proved that the mechanism consists in “relay-race” transfer of linear polyion segments from one segment of the polyelectrolyte network to the other via interpolyelectrolyte exchange reaction. The driving force for the fast transport of linear polyions into the gel is produced by coupling reaction between two polyelectrolytes proceeding on solution/gel interface.     

Polyelectrolyte gel transitions: experimental aspects of charge inhomogeneity in the swelling and segmental attractions in the shrinking

This paper aims to provide a systematic discussion based on our experimental results both previously published and unpublished, to promote better understanding of volume-phase transitions in polyelectrolyte gels. Special attention was paid to the distribution of network charges as well as to the attractive interaction among polymer segments. From looking at how these effects appear in the swelling curves, an exploration of the nature of polyelectrolyte gel transitions was attempted. Two sorts of polyelectrolyte gels, temperature-responsive ionic gels based on N-isopropylacrylamide (NIPA) and cationic poly(ethyleneimine) (PEI) gels, were mainly employed with various modifications. The charge inhomogeneity within the gel phase was created by surfactant binding, immobilized enzyme reaction and physical entrapment of polyions. The attractive interactions holding the gel in a collapsed state were studied in comparison with phase separations of the corresponding linear polyelectrolyte. The main conclusions are summarized as follows: (i) The charge inhomogeneity exhibits a large influence on the volume transition in ionic gels. (ii) Hydrogen bonding and hydrophobic association, other than electrostatic attraction, can be considered to play an important role in the segmental association. (iii) Stably associated segments via one or more of these attractive interactions causes a large hysteresis in the swelling process, in which the repulsive interaction among the fixed charges on the network is dominant as shown in the Katchalsky's model. (iv) A distribution of "neutral but hydrophilic" moieties (e.g., ion pair or salt-linkage formed between the opposite charged groups) within the gel shows a marked effect on the temperature-induced volume collapse, the aspect of which is similar to that observed in the gels with a charge inhomogeneity.     

The Formation and Salt Induced Melting of a Highly Viscoelastic Mixture of Two Oppositely Charged Polyelectrolytes

A quick and convenient route to prepare a highly viscoelastic mixture of two oppositely charged polyelectrolytes is presented. The investigation was essentially performed at a fixed total polyelectrolyte concentration. The phase behaviour was studied at varying ratios between the two oppositely charged polyions. The mixtures phase separated associatively at mixing ratios in the vicinity of overall charge neutrality, while by screening the attractive forces with NaCl the precipitate could be dissolved. At certain mixing ratios off charge neutrality the mixtures were highly viscoelastic single-phase solutions in the absence of screening electrolyte. When NaCl was added to such a solution the viscoelasticity decreased strongly since the attractive forces between the oppositely charged polyions were screened. Therefore, by contacting an initially salt free mixture of polyions with a brine solution of known concentration, the diffusion of salt into the polyion matrices could be monitored by following the rheology of the mixture as a function of the contact time. It is shown that the transport of NaCl inside the polyion matrices was diffusion controlled.     

A theory of electrolyte friction on translating polyelectrolytes

Enormous increases in friction factors of isolated polyelectrolytes have been observed when the concentration of added monovalent salt is decreased below 10^?2M. Electrolyte friction on translating polyions, analogous to dielectric friction on translating small ions, is postulated to account for this effect. A quantitative theory of this electrolyte friction is developed, based on the fluctuating force formulation of Kirkwood and Previous development of the author for the dynamics of smallion concentration fluctuations. By modelling the flexible linear polyelectrolyte as a charged gel sphere of constant radius equal to the measured hydrodynamic radius in 1.0 M NaBr, where electrolyte friction is negligible, and employing the theory of Harris and Rice to determine the net charge on the sphere, remarkably good agreement with the data is obtained using no adjustable parameters. Polyion expansion of only a few percent would make the agreement perfect. Diffusion of polyions at finite concentration is discussed in the light of the present work, and it is suggested that an appropriate reinterpretation of parameters in the existing theories can account for the observed dependence of the measured diffusion coefficients on salt and polyion concentration in the linear range.     

On-line study of polyelectrolyte network formation by interfacial reaction

A modified synthetic boundary experiment of analytical ultracentrifugation has been employed to examine, on-line, polyelectrolyte complex formation at flat interfaces yielding highly swollen membranes/networks. Systematic experiments with sodium alginate as a polyanion and chitosan and poly(l-lysine) as polycations identified the influence of concentration, pH, molar mass, and polycation type on the membrane characteristics and the formation process. The membranes have been evaluated by five characteristics defined herein: total thickness, compactness, heterogeneity, symmetry, and growth. The results confirm the sensitivity of the method suited to elaborate general relationships for polyelectrolyte membrane design.     

Ionic correlations in the inhomogeneous atmosphere surrounding cylindrical polyions: catalytic effects of polyions

The structural properties of linear polyelectrolyte solutions in the presence of a salt as evidenced through ionic correlations in the inhomogeneous atmosphere around a polyion and their consequence such as the catalytic potential are studied by using Monte Carlo simulation techniques. The simulations are performed on the cylindrical cell model where a uniformly charged hard cylinder mimics the linear polyion, which is caged in its own cylindrical cell containing counterions and salt. The cell (volume) average of the interionic correlations is presented as a function of the polyion and salt concentrations and ion radius. These results are utilized to study the catalytic effects of polyions as manifested through the changes in the collision frequency between ions in the double layer surrounding the polyion relative to that in the pure electrolyte solution. The reported results suggest a strong influence of the added salt/polyelectrolyte concentration ratio on the structural properties of the solution and hence on ion-ion collision frequency. The machine simulations are supplemented by nonlinear Poisson-Boltzmann results. Fair agreement between two different theoretical methods of calculating the collision frequency is obtained.     

Equilibres ioniques obtenus entre un echangeur d'ions et une solution de polyelectrolytes,faibles et de meme signe de charge

When an equilibrium is established between an ion exchange resin and a solution of polyelectrolyte of the same sign of charge (without added salt), there is no co-ion in the resin phase. It is shown that, for a weak acid resin in equilibrium with a solution of a strong acid polyelectrolyte completely neutralized by a monovalent counter-ion M⁺, the graph pH - pM = f(α), where α represents the degree of neutralization of the resin, is independent of the concentration of polyelectrolyte. These results have been verified for a highly swollen ion exchange gel. A weak resin in equilibrium with a solution of a weak polyelectrolyte gives a system in which the counter-ion is distributed between the two phases. The equilibrium partition can be calculated using a set of equations resembling those for buffer solutions. Experimental verifications have been obtained. The possible developments are discussed.     

Electrophoresis in one buffer at two pH values

A theory for discontinuous electrophoresis in a polyacrylamide gel is presented for one buffer at two pH values. It is shown that polyions stack between identical leading and trailing ions, and resolve in a gel of constant polyacrylamide concentration. The theory is illustrated by the separation of serum protein polyions in a Tris-glycinate buffer of pH 8.19 in the well-forming gel, and pH 9.16 in the resolving gel. The selected concentrations and electrolyte ionization degrees of Tris and glycine have values at which the serum protein polyions stack between the resolving and electrode buffers, followed by separation in the resolving gel.     

A unified analytical treatment of the acid-dissociation equilibria of weakly acidic linear polyelectrolytes and the conjugate acids of weakly basic linear polyelectrolytes

 The influence of added sodium chloride concentration levels on the acid-dissociation equilibria of a weakly acidic linear polyelectrolyte and a conjugate acid of weakly basic linear polyelectrolyte has been investigated potentiometrically by use of polyacrylic acid (PAA) and poly(N-vinylimidazole) (PVIm) as examples of polyelectrolytes. Both equilibria are strongly influenced by the degree of dissociation of the polyacids as well as the concentration levels of sodium chloride due to an electrostatic effect originating from the negatively or positively charged polymer surfaces. These have been analyzed in a unified manner by taking accounts of two-phase properties of the charged linear polyions. Distribution of counterions and coions between a polyelectrolyte phase formed around the polymer skeleton and a bulk solution phase has been rationalized by a Donnan’s relation. Introduction of a volume term for the polyelectrolyte phase permits definition of averaged concentrations of mobile ions in the vicinity of the polyion molecules, which enables us to define hypothetical intrinsic acid-dissociation constants in the polyion domain. The intrinsic constants estimated by extrapolation of apparent acid-dissociation constants at zero-charge state are in good agreement with the acid-dissociation constants of the monomer analogs of the polymers, i.e., acetic acid for PAA and imidazole for PVIm, respectively. The difference between the apparent and intrinsic acid-dissociation constants for PVIm was much higher than that for PAA at defined degree of dissociation of the polyacids, even though the separations of the functionalities fixed on the linear polymers are approximately equal to each other. Received: 4 February 1997 Accepted: 26 May 1997     

Anomalous freezing point depression of solvents in a swollen homogeneous rubber network

The freezing point depression of a solvent, imbibed by crosslinked polyisoprene networks, was studied. It is argued that in a swollen vulcanizate, polymer chains subdivide the solvent, creating zones too small for nucleation on cooling to occur at the normal freezing point of the solvent. The freezing point of the solvent is identified with the temperature at which nuclei can form in the swollen network. A linear relationship between freezing point and the volume fraction of rubber in the swollen gel is predicted for a uniformly crosslinked network. Such a relationship is shown to hold for gamma-irradiated polyisoprene, but not for peroxide-cured samples, where deviations from linearity are interpreted as indicative of nonuniformity in the network. © 1993 John Wiley & Sons, Inc.     

Dynamics and stability of dispersions of polyelectrolyte-filled multilayer microcapsules

The authors report dynamic and coagulation properties of a dispersion of polyelectrolyte multilayer microcapsules filled with solutions of a strong polyelectrolyte. Microcapsules are shown to take a charge of the sign of encapsulated polyions and are characterized by a nonuniform distribution of inner polyions, which indicates a semipermeability of the shell and a leakage of counterions. The capsule self-diffusion coefficient in the vicinity of the similarly charged wall is measured using a particle tracking procedure from confocal images of the dispersion. The diffusion of capsules in the force field suggests that the effective interaction potential contains an electrostatic barrier, so that we deal with the same types of interaction forces as for solid particles. The theoretical estimates of the authors show that when microcapsules are in close proximity, their interaction should even be quantitatively the same as that of colloids with the same surface potential. However, due to the mobility of inner polyions they might repel stronger at large distances. The authors thus conclude that the encapsulation of charged polymers is an important factor in determining the adhesion and interaction properties of multilayer microcapsules.     

An explicit molecular thermodynamic model for polyelectrolyte solutions

Polyelectrolyte solutions are modeled as linear tangent jointed and charged hard-sphere chains and counterions. Besides coulombic interaction, stickiness between polyions and counterions is taken into account as a short-range non-coulombic perturbation. The solvent is considered as a continuum medium with a certain permittivity. Expressions of thermodynamic properties derived in this work consist of two contributions. The first contribution responsible for the formation of polyion chains from monomers is derived by the statistical association theory that is the same as our previous work. The second contribution accounting for the additional stickiness is obtained by the same method. A molecular thermodynamic model with explicit expressions is then obtained. Thermodynamic properties for polyelectrolyte solutions can be described satisfactorily.     

Spontaneous surface flattening via layer-by-layer assembly of interdiffusing polyelectrolyte multilayers

We report a facile means to achieve planarization of nonflat or patterned surfaces by utilizing the layer-by-layer (LbL) assembly of highly diffusive polyelectrolytes. The polyelectrolyte pair of linear polyethylenimine (LPEI) and poly(acrylic acid) (PAA) is known to maintain intrinsic diffusive mobility atop or even inside ionically complexed films prepared by LbL deposition. Under highly hydrated and swollen conditions during the sequential film buildup process, the LbL-assembled film of LPEI/PAA undergoes a topological self-deformation for minimizing surface area to satisfy the minimum-energy state of the surface, which eventually induces surface planarization along with spontaneous filling of surface textures or nonflat structures. This result is clearly different from other cases of applying nondiffusive polyelectrolytes onto patterned surfaces or confined structures, wherein surface roughening or incomplete filling is developed with the LbL assembly. Therefore, the approach proposed in this study can readily allow for surface planarization with the deposition of a relatively thin layer of polyelectrolyte multilayers. In addition, this strategy of planarization was extended to the surface modification of an indium tin oxide (ITO) substrate, where surface smoothing and enhanced optical transmittance were obtained without sacrificing the electronic conductivity. Furthermore, we investigated the potential applicability of surface-treated ITO substrates as photoelectrodes of dye-sensitized solar cells prepared at room temperature. As a result, an enhanced photoconversion efficiency and improved device characteristics were obtained because of the synergistic role of polyelectrolyte deposition in improving the optical properties and acting as a blocking layer to prevent electron recombination with the electrolytes.     

Functional core/shell nanoparticles via layer-by-layer assembly. investigation of the experimental parameters for controlling particle aggregation and for enhancing dispersion stability

Gold nanoparticles (AuNPs) with a size of 13.5 nm were synthesized using well-established methods as described earlier by Turkevich (Turkevich, J.; Stevenson, P. C.; Hillier, J. Discuss. Faraday Soc. 1961, 11, 55-75) and Frens (Frens, G. Nature (London), Phys. Sci. 1973, 241, 20-22) using citrate as the reducing agent. It has already been reported that such AuNPs can easily be coated with polymeric shells using electrostatic layer-by-layer assembly of certain polyelectrolytes. Here, we show which parameters, namely, the polyelectrolyte concentration, the contour length of the polyelectrolyte chain, and the ionic strength, are preventing bridging flocculation during polyelectrolyte adsorption and enhancing the stability of the colloidal dispersion. For the preparation of individually coated particles with high yield, we identified optimal conditions such as the degree of polymerization of the polyelectrolytes used, the polyelectrolyte concentration, the nanoparticle concentration, and the concentration of added NaCl during multilayer buildup. Surprisingly, such functional nanoparticles are obtained with highest yield at a moderate excess of polyions. In contrast to expectations, a larger excess of polyions leads again to slight destabilization of the dispersion. The present findings raise our confidence to establish layer-by-layer deposition as a general method for functionalizing even different nanoparticles using a single method.     

Outstanding covalent conjugated gels: electrically conducting rubbers

Four series of fully conjugated poly(octylthiophene) gels were prepared by oxidative copolymerization of octylthiophene with four different cross-links (trithienylbenzenes) of functionalities f=3 or 6 and by varying the cross-link ratio R. The gels exhibit rubber elasticity and swell in apolar solvents. The gel fraction, the swelling ratio Q, the elastic modulus, and a NMR structural parameter display master curves of variations versus the variable fR, which characterises the statistical structure of the gels. This result shows that the linear chain segments comprised between adjacent cross-links govern the deformation properties of the networks. Transport properties were explored. The gels are photoluminescent. When doped (oxidation by iodine), they are electronically conducting both in dry and swollen states. At large Q intra-chain hopping mechanisms govern the conductivity while at small Q, intermolecular hopping processes are predominant. Cross-links are not a limitation to conductivity.     

Effective intramolecular interactions in weakly charged polyelectrolytes: Relation to structural behavior of solution

A self-consistent integral equation theory in the form of a hybrid Monte Carlo/PRISM computation scheme was used to study a polyelectrolyte solution. The static conformational and structural properties of polyions of different rigidities in a good solvent were studied with explicit allowance for counterions over a wide concentration range. An analysis of the calculated effective potentials and correlation functions confirms the presence of effective attraction between units of the charged polymer in semidilute and concentrated solutions; this attraction leads to the collapse of polyions under certain conditions. It was shown that the cause of effective attraction is the dipole-dipole interaction of ion pairs. For the region of polyelectrolyte transition from the semidilute to the concentrated state of solution, the results qualitatively agree with experimental data and theoretical predictions. Visualized images of conformations in the test range of parameters are given.     

Transport,and thermodynamic investigations on sodium polystyrenesulfonate in ethylene glycol–water media

Polyion–counterion interactions in sodium polystyrenesulfonate dissolved in (ethylene glycol + water) mixed solvent media have been investigated conductometrically with special reference to their variations as functions of polyelectrolyte concentration, relative permittivity and temperature. Manning counterion condensation theory for polyelectrolyte solutions failed to describe the present experimental results. The data have, therefore, been analyzed using a new model for semidilute polyelectrolyte conductivity which takes into account the scaling arguments proposed by Dobrynin et al. The fractions of uncondensed counterions were found to depend on the polyelectrolyte concentration varying from 0.27 to 0.37, within the concentration range investigated here, indicating a strong interaction between counterions and polyion. A considerable fraction of the counterions is shown to migrate in the same direction as the polyions. The results further demonstrate that the monomer units experience more frictional resistance in solutions as the ethylene glycol content of the mixture increases or as the temperature decreases.     

Effect of polymer charge density and ionic strength on the formation of complexes between sodium arylamido-2-methyl-1-propane-sulfonate-co-acrylamide gels and cetylpyridinium chloride

The effects of sodium chloride on the composition and structure of polyelectrolyte gel-surfactant complexes (PSCs) formed by the sodium salt of acrylamide-2-methyl-1-propane-sulfonic acid-co-acrylamide gels and cetylpyridinium chloride have been studied. At a low ionic strength of the solution, the composition of all the complexes is close to stoichiometric by charge. In the presence of 0.3 M sodium chloride, the composition of the complexes formed by the gel with 99 mol % charged groups is close to stoichiometric, while for the gel with 33 mol % charged monomer units, a nonstoichiometric complex with a high excess of the surfactant is formed. Further decrease of the charge density up to 10 mol % leads to partial or complete dissociation of the PSCs. The study of PSCs by the method of small-angle X-ray scattering (SAXS) shows that the complexes formed by the gels with high and intermediate charge densities are highly ordered. The decrease of the charge density of the swollen networks at first leads to a change in symmetry of the ordered domains in the PSCs and then to their disordering. The formation of nonstoichiometric PSCs at a high enough concentration of salt is explained by the effect of fitting, when the packing of the surfactant and polymer components in the PSCs is improved due to the inclusion of extra surfactant molecules together with their counterions in the ordered domains.