Counterion binding dependence

When counterion binding reaction II is extremely rapid, the concentration dependence of the relaxation time is given by (11)... 

The mass action model (MAM) for binary ionic or nonionic surfactants and the pseudo-phase separation model (PSM) which were developed earlier (I EC Fundamentals 1983, 22, 230 J. Phys. Chem. 1984, 88, 1642) have been extended. The new models include a micelle aggregation number and counterion binding parameter which depend on the mixed micelle composition. Thus, the models can describe mixtures of ionic/nonionic surfactants more realistically. These models generally predict no azeotropic micellization. For the PSM, calculated mixed erne s and especially monomer concentrations can differ significantly from those of the previous models. The results are used to estimate the Redlich-Kister parameters of monomer mixing in the mixed micelles from data on mixed erne s of Lange and Beck (1973), Funasaki and Hada (1979), and others. 

A mass action model (MAM) with monodisperse aggregation number N which depends on the micelle mole fraction x and the counterion binding parameter /3(x) has been developed for binary surfactants either ionic/ionic or nonionic/ionic. 

The self-diffusion of the individual components is strongly affected by the formation of micelles in the solution. This applies to the surfactant, the counterion, the water, and to solubilized molecules. As illustrated in Fig. 2.11 for sodium dodecyl sulfate, surfactant and counterion diffusion are very weakly dependent on concentration below the CMC while a marked decrease in the micellar region is observed for the surfactant and a less marked one for the counterion37. Water diffusion shows a stronger concentration dependence below the CMC than above it. Self-diffusion studies using radioactive tracers have been performed to obtain information on CMC, on counterion binding, on hydration and on intermicellar interactions and shape changes. 

Counterion binding is not a well defined quantity, with various experimental techniques weighing the ion distribution slightly differently. Thermodynamic methods (e.g. ion activities or osmotic coefficients) monitor the free counterion concentration, transport methods (e.g. ion self diffusion or conductivity) the counterions diffusing with the micelle, and spectroscopic methods (e.g. NMR) the counterions in close contact with the micelle surface. Measurement of the effect of Na+ counterions on the symmetric S-O stretching modes would also be expected to be highly dependent on the distance of the counterion from the micelle surface (similar to the NMR method). 

For the hypothetical protein described above, it follows that at equal extents of proton binding to a protein in water and in the solvent S, and at equal values of k in the two solvents, F,)s/(Fe)aio should vary with D in a manner similar to the function olD q/D shown in Fig. 2. The large net charge on the protein should act to enhance counterion binding over that by a univalent ion at any particular value of D, and hence the maximum in (Fe)s/iFe)BiO may shift to considerably larger D values, but otherwise the dependence on D should be much the same as in Fig. 2. If... 

Solution behavior of ionomers can be divided into two types, primarily depending on the polarity of the solvent [46,47], One is polyelectrolyte behavior due to the dissociation of counterions in polar solvents (e.g., DMF), and another is association behavior due to the formation of ion pairs and even higher order aggregates in less polar solvents (e.g., THF). Table 2 shows the solvents frequently used for the study of ionomer solutions, as well as their dielectric constants. As the dielectric constant decreases, the degree of counterion binding and also ion pair formation changes (increases) gradually, and so does the solution behavior. In this chapter, only the polyelectrolyte behavior of ionomers in a polar solvent is described. Some brief... 

The equilibrium properties in dilute aqueous solution of weakly ionized polysaccharides, e.g. carboxylated natural poly= saccharides, have not been so thoroughly investigated in comparison with other natural and synthetic polyelectrolytes. For instance, a detailed thermodynamic characterization of acid ionization and of counterion binding in terms of combined experimental potentiometric, calorimetric and volumetric data has not been achieved so far for the above types of polysaccharides. Such a description, however, is of obvious relevance for a better understanding of structure-conformation dependent solution properties for this important class of biopolymers. 

Addition of cholesterol leads to two counteracting effects on the rate constants. The first is a smaller counterion binding, reducing the rate constants. The other is a rate enhancing effect resulting from the less polar vesicular binding sides. The overall effect depends on the exact reaction conditions. ... 

The application of ultrasonic methods to electrolytic solutions is convenient to study the mechanism of ion pair formation [15,16] the extension of polyelectrolytes gives information on the existence of site binding depending strongly on charge density and the nature of the counterions [17]. 

The corresponding bromide gives a constancy in the relaxation rate but an increase in relaxation rate is observed at higher surfactant concentrations. This increase in counterion binding can be referred to a transition from spherical to rod-shaped micelles leading to an increased micellar surface charge density [321]. Temperature dependence studies showed the transition concentration to increase with increasing temperature [321]. 

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