The partition functions and potentiometric titration equations are calculated for a number of types of polyelectrolytes, including polyampholytes and other electrolytic copolymers. The effects of the interaction between neighboring groups and of the electrostatic potential of the macromolecule as a whole are both accounted for independently, by treating the ionized macromolecule as a separate phase in equilibrium with the surrounding solution.
The possibility of association of monovalent cations with the acidic groups of polyacids is discussed, following the derivation of the titration equations for both the H+ ion and the associating metallic cation.
REFERENCES
1.
2.
3.
4.
For a review and literature see
G. F.
Newell
and E. W.
Montroll
, Revs. Modern Phys.
25
, 353
(1953
).5.
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Katchalsky, Mazur, and Spitnik, International Symposium on Macromolecules, 1956, Rehovot, Israel, to be published in J. Polymer Sci.
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Kaufman, Lifson and Lifson, in preparation.
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T. L. Hill, International Symposium on Macromolecules, 1956, Rehovot, Israel, to be published in J. Polymer Sci.
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S. Lifson, International Symposium on Macromolecules, 1956, Rehovot, Israel, to be published in J. Polymer Sci.
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The electrostatic potential governs the distribution of non‐polymeric ions between the surrounding of the macromolecule and the bulk of the solution, according to the Boltzmann distribution law. It is in general a function of space, and influences the local degree of ionization of dissociable groups of the polymer. We shall however assume that both the potential and degree of ionization have an average value, constant throughout the polymer coil. For a discussion of the nature of this average see Marcus.11
13.
14.
See I. M. Klotz in The Proteins, edited by H. Neurath and K. Bailey (Academic Press, Inc., New York, 1953), Vol. I, Part B.
15.
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© 1957 American Institute of Physics.
1957
American Institute of Physics
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