Calculations on the ``Restricted Primitive Model'' for 1–1 Electrolyte Solutions
- 1 January 1972
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 56 (1) , 248-255
- https://doi.org/10.1063/1.1676854
Abstract
This paper concerns the ``restricted primitive model'' of 1–1 aqueous electrolyte solutions at concentrations up to 2.0M. Monte Carlo data are compared with several recent theoretical treatments: those based on the hypernetted‐chain (HNC) equation and the Percus—Yevick—Allnatt (PYA) equation, the mean spherical model, and the mode expansion and γ‐ordering approaches. Some new theoretical calculations are reported. The hypernetted‐chain treatment appears to be the most successful of the integral equation theories. Of particular interest is the observation of charge oscillation in the radial distribution functions in both the HNC and Monte Carlo calculations. It is also noted that the cube‐root concentration dependence of the deviation from ideality, previously observed for real systems, occurs also in accurate treatments of the primitive model. When the diameter of the ions is sufficiently large, the thermodynamic properties of the restricted primitive model approach those of the corresponding uncharged system at very moderate concentrations.Keywords
This publication has 23 references indexed in Scilit:
- Relation Between γ Ordering and the Mode ExpansionThe Journal of Chemical Physics, 1971
- The hypernetted chain (HNC) equation for higher valence electrolytesChemical Physics Letters, 1970
- The linear extension of the Debye-Hückel theory of electrolyte solutionsChemical Physics Letters, 1970
- Upper bounds on free energies in terms of hard-sphere resultsMolecular Physics, 1970
- Comparison of Hypernetted Chain Equation and Monte Carlo Results for a System of Charged Hard SpheresThe Journal of Chemical Physics, 1970
- Ion-Pair Theory of Concentrated Electrolytes. I. Basic ConceptsThe Journal of Chemical Physics, 1968
- Integral Equation Methods in the Computation of Equilibrium Properties of Ionic SolutionsThe Journal of Chemical Physics, 1968
- Radial Distributions of Ions for a Primitive Model of an Electrolyte SolutionThe Journal of Chemical Physics, 1967
- Integral equations in ionic solution theoryMolecular Physics, 1964
- The Statistical Mechanical Basis of the Debye–Hüekel Theory of Strong ElectrolytesThe Journal of Physical Chemistry, 1954