2015
DOI: 10.1021/acs.macromol.5b00324
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Ion Entropy in Phase-Separated Aqueous Mixtures of Polyelectrolyte and Neutral Polymer

Abstract: The macroscopic phase separation of aqueous mixtures of a neutral polymer and a polyelectrolyte is well described by a modified blob model, taking into account the entropy of ideal ions under the restriction of macroscopic charge neutrality. This is demonstrated by detailed measurements on aqueous mixtures of a neutral polymer (dextran) and a polymer whose charge is adjustable via the pH (nongelling fish gelatin). The critical point of the phase diagram of demixing, the asymmetric distribution of the solvent, … Show more

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Cited by 19 publications
(22 citation statements)
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“…A linear correlation of the electrical potential difference is observed with the tie-line length. This is as expected, since the Donnan potential scales linearly with the difference in polyelectrolyte concentration, according to 9,28 ψ ≃ Δ kT e z c c 2 D p s (31) and the tie-line length is a direct measure of the compositional difference between the two phases. For increased magnitudes of the polyelectrolyte charge z, the magnitude of the Donnan potential is also increased (at a fixed tie-line length), resulting in an increased slope of the plot of |ψ D | against the tie-line length.…”
Section: ■ Resultssupporting
confidence: 77%
“…A linear correlation of the electrical potential difference is observed with the tie-line length. This is as expected, since the Donnan potential scales linearly with the difference in polyelectrolyte concentration, according to 9,28 ψ ≃ Δ kT e z c c 2 D p s (31) and the tie-line length is a direct measure of the compositional difference between the two phases. For increased magnitudes of the polyelectrolyte charge z, the magnitude of the Donnan potential is also increased (at a fixed tie-line length), resulting in an increased slope of the plot of |ψ D | against the tie-line length.…”
Section: ■ Resultssupporting
confidence: 77%
“…2, and the critical demixing mass fraction shifts by a factor of 2. Such a shift has been observed also in similar systems [44,45] and can be understood in terms of the loss in translational entropy of the salt ions [41]. The polyelectrolyte-rich phase has the highest concentration of counterions, which stems from the condition of macroscopic electroneutrality, and this unequal distribution of the ions over the two phases has an entropic cost.…”
mentioning
confidence: 70%
“…Our fish gelatin has a net zero charge at pH 7.5, is positively charged at low pH, and is negatively charged at higher pH [40]. In the linear regime (jψ D j ≤ 10 mV), the Donnan potential ψ D ¼ ψ α − ψ β is given by [40,41]…”
mentioning
confidence: 98%
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