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The ionic association is the association of oppositely charged ions in an electrolyte solution to form ion pairs. Bjerrum defined ion pairs as two oppositely charged ions whose electrostatic attraction exceeds the thermal energy of the system, typically expressed as 2kT. Electrostatic attraction depends on ionic charge, separation distance, and the dielectric constant of the medium. Thermal energy, represented by kT, reflects the tendency of ions to move independently due to molecular motion.
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Colligative Properties of ElectrolytesThe colligative properties of a solution depend only on the number, not on the identity, of solute species dissolved. The concentration terms in the equations for various colligative properties (freezing point depression, boiling point elevation, osmotic pressure) pertain to all solute species present in the solution. Nonelectrolytes dissolve physically without dissociation or any other accompanying process. Each molecule that dissolves yields one dissolved...
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Salts with Acidic Ions
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The Debye–Hückel theory, established by Peter Debye and Erich Hückel in 1923, is a fundamental concept in physical chemistry. It provides an understanding of the behavior of strong electrolytes in solution, particularly explaining their deviations from ideal behavior.The theory is based on Coulombic interactions (the attraction or repulsion between charged particles) between ions in solution. In an ionic solution, oppositely charged ions tend to attract each other. This means...
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Predicting hydration energies for multivalent ions.

Martin P Andersson1, Susan L S Stipp

  • 1Department of Chemistry, Nano-Science Center, University of Copenhagen, Universitetsparken 5, DK-2100, Copenhagen, Denmark.

Journal of Computational Chemistry
|September 13, 2014
PubMed
Summary
This summary is machine-generated.

We accurately predicted hydration free energies for ions using quantum chemistry and COSMO-RS. This method shows good agreement with experimental data, especially for monovalent and divalent ions, offering insights into ion behavior.

Keywords:
COSMO-RSdensity functional theoryhydration energyimplicit solventionssolvation energy

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Area of Science:

  • Computational Chemistry
  • Physical Chemistry
  • Solution Chemistry

Background:

  • Accurate prediction of ion hydration free energies is crucial for understanding chemical processes.
  • Existing computational methods have limitations in predicting these energies, particularly for multivalent ions.

Purpose of the Study:

  • To predict the free energy of hydration for 40 monovalent and multivalent cations and anions.
  • To evaluate the performance of density functional theory combined with COSMO-RS against experimental data.

Main Methods:

  • Utilized density functional theory (DFT) with Becke-Perdew (BP)/Triple zeta valence with polarization functions (TZVP) level.
  • Employed the implicit solvent model COnductor like Screening MOdel for Real Solvents (COSMO-RS).
  • Included one hydration shell of explicit water molecules for metal cations.

Main Results:

  • Good agreement with experimental data for monovalent and divalent ions, outperforming standard COSMO.
  • Slightly worse agreement and systematic errors observed for trivalent and tetravalent ions.
  • The method demonstrates reliability for multivalent ions when explicit water molecules are included.

Conclusions:

  • Quantum chemical calculations with COSMO-RS offer a reliable approach for studying multivalent ions in solution.
  • The low computational cost enables investigation of trends, particularly in ligand exchange reactions.
  • While not precise enough for absolute predictions, the method is valuable for relative energy studies.