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The Born equation can be used for estimating the electrostatic component of Gibbs free energy of solvation of an ion. It is an electrostatic model that treats the solvent as a continuous dielectric medium (it is thus one member of a class of methods known as continuum solvation methods). It was derived by Max Born. [1] [2]
In thermodynamics, the Gibbs free energy (or Gibbs energy as the recommended name; symbol ) is a thermodynamic potential that can be used to calculate the maximum amount of work, other than pressure–volume work, that may be performed by a thermodynamically closed system at constant temperature and pressure.
The Edwards equation relates the nucleophilic power to polarisability and basicity. The Marcus equation is an example of a quadratic free-energy relationship (QFER). [citation needed] IUPAC has suggested that this name should be replaced by linear Gibbs energy relation, but at present there is little sign of acceptance of this change. [1]
The Born equation is used to estimate Gibbs free energy of solvation of a gaseous ion. Recent simulation studies have shown that the variation in solvation energy between the ions and the surrounding water molecules underlies the mechanism of the Hofmeister series. [9] [1]
The resulting chemical potentials are the basis for other thermodynamic equilibrium properties such as activity coefficients, solubility, partition coefficients, vapor pressure and free energy of solvation. The method was developed to provide a general prediction method with no need for system specific adjustment.
Two types of PCMs have been popularly used: the dielectric PCM (D-PCM), in which the continuum is polarizable (see dielectrics), and the conductor-like PCM (C-PCM), in which the continuum is conductor-like, similar to the COSMO Solvation Model. [1] [2] The molecular free energy of solvation is computed as the sum of three terms: G sol = G es ...
The free energy of solvation of a solute molecule in the simplest ASA-based method is given by: = where is the accessible surface area of atom i, and is solvation parameter of atom i, i.e., a contribution to the free energy of solvation of the particular atom i per surface unit area.
This energy, which can sometimes be harnessed (a simple example is a concentration cell), and the free-energy per mole is exactly equal to the electrochemical potential difference between the two regions.