Gilbreath shuffle

The Born equation is a means of estimating the enthalpy 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.

$\mathrm{\Delta }G=-\frac{N_A{z}^2{e}^2}{8\pi {ϵ}_0{r}_0}(1-\frac{1}{{ϵ}_r})$

where:

• N_A = Avogadro constant
• z = charge of ion
• e = elementary charge, 1.6022Template:E C
• ε₀ = permittivity of free space
• r₀ = effective radius of ion
• ε_r = dielectric constant of the solvent

References

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