Dielectrochemical potential

The treatment of this section is formalistic, but the content is pictorial and instructive. The rigorous thermodynamic definition of the dielectrochemical potential is given in Section 4. 

In this form, p,j may be called the dielectrochemical potential of one mole of isolated dipolar species Bj with the individual moment m. ... 

In this form the dielectrochemical potential introduced here has a similar formal structure as Guggenheim s electrochemical potential as expressed in Eq. (3.67). 

The concept of a dielectrochemical potential introduced in the previous section is already implicit in Guggenheim s treatment of dielectrics in the presence of external fields. In order to apply the familiar criteria for reversible (equilibrium) processes and irreversible (nonequilibrium) processes in terms of an appropriate Gibbs function, Guggenheim introduced the characteristic Gibbs function in the presence of electric fields by a transformation. We may express the transformed Gibbs free energy as... 

As in the case of ionic reactions it is also useful to define a standard value, fif, of the dielectrochemical potential for the dipolar species Bj-. 

Note that Oj is the activity of Bj at E = 0. Mf is the standard value of Mj of the isolated dipoles behaving ideally. There is a formal similarity between Eq. (4.25) for dipoles and Eq. (3.78) for ionic interaction partners. As in the case of the electrochemical potential, the dielectrochemical potential may also be expressed in two ways. 

Dielectrochemical potential of dipolar species Bj in an electric field... 

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