Lifson-Katchalsky theory

Manning s values for (j) are equal to those of the Lifson-Katchalsky theory at infinite dilution. 

M. A. Lamport, Biopolymers, 21, 159 (1982). The 8-Function Counterion Condensate around a Line Charge Derived from the Fuoss, Katchalsky, and Lifson Polyelectrolyte Theory. 

Flory PJ (1953) Principles of polymer chemistry. Cornell University Press, Ithaca Freed KF (1987) Renormalization group theory of macromolecules. Wiley, New York Freed KF, Dudowicz J, Stukalin EB, Douglas JF (2010) General approach to polymer chains confined by interacting boundaries. J Chem Phys 133 094901 Fuoss RM, Katchalsky A, Lifson S (1951) The potential of an infinite rod-like molecule and the distribution of the counter ions. Proc Natl Acad Sci USA 37 579-589 Golestanian R, Kardar M, Liverpool TB (1999) Collapse of stiff polyelectrolytes due to counterion fluctuations. Phys Rev Lett 82 4456-4459 Guggenheim FA (1952) Mixtures. The Clarendon Press, Oxford... 

It should be further noted that these authors accounted for the concentration dependence by Lifson and Katchalsky s theory for a rodlike model (ST). The foot that the experimental data are explainable simultaneously by this theory and the cube-root relation su ests that the relation may be derived from the theory. 36 Adv. Polymer Set, VoL 7... 

The effect of intrachain, fixed-ion repulsions on polyelectrolyte expansion has been discussed extensively in the literature. The theory of Katchalsky and Lifson [33] has been used often (and with little justification) for describing fixed-ion repulsion effects on single-chain expansion [33], and on gel-swelling equilibria [26, 27]. In the hydrophilic limit, the simulation model of Figure 7 corresponds directly with the model used by Katchalsky and Lifson (K-L) in deriving their analytical theory for polyelectrolyte expansion. Thus, simulation results for this limit can be used to examine whether K-L theory truly represents the physical model on which it is based. 

Function in the theory of Lifson and Katchalsky Functions (in model of Lammertz et ah) i = 1,2 Freezing point depression Molecular mass distribution function Gibbs energy... 

Dimensionless parameter in the theory of Lifson and Katchalsky Difference... 

When ion-selective electrodes have been used, the activity coefficient of the counterions is sometimes presented as a function of the charge density parameter 1 (from the theory of Lifson and Katchalsky) ... 

The model of Lifson and Katchalsky [74] is an extension of the Debye-Hiickel theory of highly diluted aqueous solutions of strong (low molecular weight) electrolytes to polyelectrolyte solutions. Lifson and Katchalsky start from the idea that an aqueous solution of a polyelectrolyte reveals a microscopic structure. That structure is caused by two competing effects the electric charges on the backbone... 

Fig. 9 Theory of Lifson and Katchalsky Integration constant as a function of the charge doisity parameter X for several parameters ylk...

For highly diluted solutions, the results of Manning s theory agree with the results of Lifson and Katchalsky [cf. (46) and (47)]. For example, Manning [106] gives for the osmotic coefficient of an aqueous solution of a single polyion where the counterions have the (absolute) charge munber zq ... 

In this paper, we have tried to apply the theories proposed by Lifson and Katchalsky, by Manning and by Oosawa and compare the calculated data with the results of po-tentiometric measurements on polyanions ... 

The theory of Alexandrowicz and Katchalsky [10] and Lifson [11] gives a satisfying picture of the distribution of counter-ions around the polyelectrolyte, and of the fraction of counter-ions trapped in the electrostatic potential of the polyion. The... 

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