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  • 1
    ISSN: 1572-8927
    Keywords: Liquid junction potential ; single-ion properties ; second moment coefficients ; generalized ionic compressibilities ; specific interactions ; hypernetted-chain ; Percus–Yevick ; concentration dependence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract We discuss several interrelated single-ion thermodynamic properties required to calculate the liquid junction potential Ψ between two solutions of the same binary electrolyte. According to a previously reported molecular theory of nonuniform electrolyte solutions in nonequilibrium, Ψ is determined by the transport numbers of the ions, and by the second moment coefficients H α (2) of the charge densities around the ions. The latter may be viewed as the single-ion contributors to the second moment condition of Stillinger and Lovett. For a solution of a single binary electrolyte, we relate the H α (2) (R) to the derivatives of the single-ion activity coefficients γα with respect to the ionic strength. In the light of these results, we examine, in some detail, the role played by the specific short-range interionic interactions in determining Ψ. We investigate this matter by means of integral equation calculations for realistic models of LiCl and NaCl aqueous solutions in the 0–1 mol-dm−3 range. In addition to the hypernetted-chain (HNC) relation, we perform calculations under a new integral equation closure that is a hybrid between the HNC and Percus–Yevick closures. Like the HNC approximation, the new closure satisfies the Stillinger and Lovett condition. However, for the models considered in this study, the two closures predict different dependence of the H α (2) and of Ψ on the specific part of the interionic interactions.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1572-9613
    Keywords: Solvation dynamics ; solvation time correlation function ; dielectric response ; interaction site models ; site number densities ; polarization charge density
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We explore a recently developed theory of solvation dynamics that analyzes the molecular response of the solvent to a sudden change of the charge distribution of a solute particle immersed in it. We derive an approximate nonequilibrium distribution functionf ∑ h (Γ, t) for a “surrogate” Hamiltonian description of the solvation dynamics process. The surrogate Hamiltonian is expressed in terms of renormalized solute-solvent interactions, a feature that allows us to introduce a simple reduction scheme in the many-body dynamics problem without losing essential solute-solvent static correlations that rule the equilibrium solvation. Withf ∑ h (Γ, t) in hand we calculate the solvation time correlation function in two ways. The first one, previously reported, is basically a “dielectric formulation” in which the local polarization charge density of the solvent is the primary dynamical variable that couples to the field of the solute. In the new development reported here, the “site number density formulation,” the primary dynamical variables comprise the set of local solvent site number densities. We find that the dielectric formulation is embedded in the solvent site number density formulation as shown, for example, by comparing the respective time correlation functions of the solvation dynamics. An important feature of our approach is that at every stage the coupling between the solute and solvent is formulated in terms of the solute-solvent intermolecular interactions, rather than some sort of cavity construction. Furthermore, both the solute and the solvent molecules are represented by interaction site models. Applications of the dielectric theory are illustrated with calculations of the solvation dynamics of a cation in water and an exploration of the effect of the details of the charge distribution on the solvation dynamics of a benzenelike solute in acetonitrile.
    Type of Medium: Electronic Resource
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