Born equation

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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).

Contents

The equation was derived by Max Born. [1] [2] where:

Derivation

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

References

  1. Born, M. (1920-02-01). "Volumen und Hydratationswärme der Ionen". Zeitschrift für Physik (in German). 1 (1): 45–48. Bibcode:1920ZPhy....1...45B. doi:10.1007/BF01881023. ISSN   0044-3328. S2CID   92547891.
  2. Atkins; De Paula (2006). Physical Chemistry (8th ed.). Oxford university press. p.  102. ISBN   0-7167-8759-8.