Born equation

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]

where:

DerivationEdit

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:
 

ReferencesEdit

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

External linksEdit

aspects about this equation