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  • 1
    Electronic Resource
    Electronic Resource
    HNC-type approximation for transport processes in electrolytic solutions (1983)
    Springer
    Journal of statistical physics 33 (1983), S. 99-106 
    Details
    ISSN: 1572-9613
    Keywords: Transport processes ; electrolytic conductance ; diffusion approach ; direct correlation force ; HNC equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract On the basis of the diffusion approach in the theory of transport processes of electrolytic solutions we introduce a “direct correlation force” as a generalization of the direct correlation function in equilibrium. Starting from an approximation for the three-particle distribution function we derive a HNC (hypernetted chain)-type equation for calculation of binary distribution functions in nonequilibrium. The derivation is consistent with equilibrium theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01009751
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Numerical calculation of the Onsager transport coefficients for isothermal binary electrolytes (1985)
    Springer
    Journal of solution chemistry 14 (1985), S. 311-331 
    Details
    ISSN: 1572-8927
    Keywords: Electrolytes ; Onsager transport coefficients ; diffusion equations ; numerical solution ; hydrodynamic interaction ; restricted primitive model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The Ebeling-Falkenhagen diffusion equations are applied to calculate the Onsager transport coefficients as well as the electrical conductances, transference numbers, and mutual diffusion coefficients for isothermal binary electrolytes. For this purpose the hierarchy of diffusion equations is closed on the level of the binary distribution functions by the superposition approximation. The resulting system of common differential equations is solved by numerical methods. Hydrodynamic interactions are taken into account up to first order. Some results are given for symmetrically charged binary electrolytes with hard-core ions (restricted primitive interaction model). The model parameters (Bjerrum parameter and Debye screening length) are chosen to represent strong electrolytes up to the molar region.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00646168
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  • 3
    Electronic Resource
    Electronic Resource
    Electrolytic conductance for Gurney-Friedman models (1979)
    Springer
    Journal of solution chemistry 8 (1979), S. 53-82 
    Details
    ISSN: 1572-8927
    Keywords: Conductance ; Debye-Hückel approximations ; mean spherical approximations ; Gurney-Fiedman models ; alkali halides ; ionic association
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Starting from hierarchy of diffusion equations for the distribution functions in coordinate space, the general theory of conductance is developed and applied to Gurney-Friedman models for ion-ion interactions. The interaction potentials used consist of a hard core with Pauling radii and a Gurney cosphere with a steplike interaction law converging to the Coulomb law outside the Gurney sphere. For the simplest case of step potentials explicit formulas for the conductivity are given. For higher concentrations an integral equation corresponding to the mean-spherical approximation in equilibrium is proposed. The theory is compared with experimental data for 17 alkali halide electrolytes by fitting the Gurney parameters. It is shown that the variant of the theory which includes the feedback of the relaxation and electrophoretic forces describes also the data for associating 2-2 electrolytes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00646809
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  • 4
    Electronic Resource
    Electronic Resource
    Thec logc contribution to the electrolyte conductance and Onsager's reciprocal relation (1979)
    Springer
    Journal of solution chemistry 8 (1979), S. 411-426 
    Details
    ISSN: 1572-8927
    Keywords: Electrolyte conductance ; Onsager's reciprocal relation ; c logc term ; continuity equation ; boundary conditions ; electrophoretic expansion ; unsymmetrical binary electrolytes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The differential equations and the boundary conditions for the nonequilibrium binary distribution function of an unsymmetrical binary electrolyte are derived from the Ebeling-Falkenhagen continuity equation. The connection between the Onsager reciprocal relation and the binary distribution functions is shown. Further, Feistel's result for thec logc contribution to the conductance is extended to unsymmetrical binary electrolytes. The reason for the difference between Feistel's and Chen'sc logc term is explained, and the significance of Onsager's reciprocal relation for the calculation ofc logc and higher-concentration contributions of the conductance is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00716001
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    Paper (German National Licenses)
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