Original Gibbs-Duhem relation

The original Gibbs-Duhem relation is a special case that applies to the Gibbs energy at constant T and P ... 

Using all these variables the relations, which form the starting point for the further calculations, can be constructed. These relations are the energy density , the dissipation function R, the Gibbs-relation and the Gibbs-Duhem relation. To illustrate the idea of our model we split up e and R into several parts according to the different origin of the variables ... 

Gibbs s analytical proof of the adsorption formula is, mutatis mutandis, analogous to the analytical deduction of the Gibbs-Duhem relation both depend on the integration of the formula for the increment in energy, followed by differentiation and comparison of the result with the original formula. 

Adamson [3] attributes this formula to Gibbs, although we did not find it in the original artiele [2]. Let us eheek that this formula is eonsistent with the Gibbs-Duhem relation (9). 

The origin of the chemical signal can be expressed in thermodynamic terms. At equilibrium the number of moles n of all species and their chemical potentials // in a phase (e.g. in a chemically selective layer) are related through the Gibbs-Duhem equation which says that if a new species enters the organic layer the chemical potentials of all species in that layer must change. These include the change of the electrochemical potential of the electron - the Fermi level and therefore the electron work function. 

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