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.
ε
where: The energy U stored in an electrostatic field distribution is:
ε
ε
Knowing the magnitude of the electric field of an ion in a medium of dielectric constant εr is
ε
ε
and the volume element
can be written as:
ε
ε
ε
ε
ε
ε
Thus, the energy of solvation of the ion from gas phase (εr =1) to a medium of dielectric constant εr is:
ε
ε
ε
ε
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