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Pure water is a weak electrolyte; only a small amount ionizes into hydrogen and hydroxide ions. At any given temperature, the concentration of undissociated water is almost constant, so the ionic product of water is the product of the hydrogen and hydroxide ion concentrations, denoted as Kw. The square root of Kw gives the individual ion concentrations.
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Ions are atoms or molecules bearing an electrical charge. A cation (a positive ion) forms when a neutral atom loses one or more electrons from its valence shell, and an anion (a negative ion) forms when a neutral atom gains one or more electrons in its valence shell. Compounds composed of ions are called ionic compounds (or salts), and their constituent ions are held together by ionic bonds: electrostatic forces of attraction between oppositely charged cations and anions. 
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Compared with pure water, the solubility of an ionic compound is less in aqueous solutions containing a common ion (one also produced by dissolution of the ionic compound). This is an example of a phenomenon known as the common ion effect, which is a consequence of the law of mass action that may be explained using Le Châtelier’s principle. Consider the dissolution of silver iodide:
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A classical model for three-body interactions in aqueous ionic systems.

Kristina M Herman1, Anthony J Stone2, Sotiris S Xantheas1

  • 1Department of Chemistry, University of Washington, Seattle, Washington 98185, USA.

The Journal of Chemical Physics
|July 15, 2022
PubMed
Summary
This summary is machine-generated.

A new classical induction model accurately captures three-body ion-water-water and water-water-water interactions in aqueous systems. This efficient method offers a transferable approach for modeling ionic solutions without extensive ab initio calculations.

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Area of Science:

  • Computational chemistry
  • Physical chemistry
  • Molecular modeling

Background:

  • Accurate modeling of aqueous ionic systems is crucial for understanding chemical and biological processes.
  • Existing many-body force fields often require extensive ion-specific parameterization.
  • Three-body interactions significantly influence the properties of ionic solutions.

Purpose of the Study:

  • To develop and validate a classical induction model for three-body ion-water-water (I-W-W) and water-water-water (W-W-W) interactions.
  • To assess the model's accuracy against high-level quantum mechanical calculations.
  • To provide a transferable and efficient method for modeling aqueous ionic systems.

Main Methods:

  • Developed a classical induction model using distributed multipoles and polarizabilities for water and ions.
  • Employed electrostatic interactions up to hexadecapole and polarizabilities up to quadrupole-quadrupole.
  • Benchmarked the model against reference three-body energies from Moller-Plesset perturbation theory and coupled-cluster calculations.

Main Results:

  • The classical model demonstrated excellent agreement with reference CCSD(T) three-body energies.
  • Achieved low Root-Mean-Square-Errors (RMSEs) for monatomic cations (0.29 kcal/mol), anions (0.25 kcal/mol), and polyatomic ions (0.12 kcal/mol).
  • The model's RMSE for W-W-W interactions was 0.12 kcal/mol, comparable to MB-pol training data.

Conclusions:

  • The proposed classical induction model accurately captures three-body interactions in aqueous ionic systems.
  • This approach offers a fast, efficient, and transferable alternative to computationally expensive ab initio methods.
  • The model facilitates the extension of many-body force fields for diverse ionic solutions without ion-specific fitting.