Born equation

The Born equation is a means of estimating the Gibbs free energy of solvation of a gaseous 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]

\Delta G=-{\frac {N_{A}z^{2}e^{2}}{8\pi \epsilon _{0}r_{0}}}\left(1-{\frac {1}{\epsilon _{r}}}\right)

where:

N_A = Avogadro constant
z = charge of ion
e = elementary charge, 1.6022×10⁻¹⁹ C
ε₀ = permittivity of free space
r₀ = effective radius of ion
ε_r = dielectric constant of the solvent

References

↑ Atkins; De Paula (2006). Physical Chemistry (8th ed.). Oxford university press. p. 102. ISBN 0-7167-8759-8.

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