Pseudopotential electron density profile

One now has a picture of conduction electrons in the potential of the ions, which is really a collection of pseudopotentials. The energy of the electronic system obviously depends on the positions of the ions. From the electronic energy as a function of ionic positions, say Ue,(R), one could determine the equilibrium ionic configuration (interionic spacing in a crystal or ion density profile... 

The interior contribution (r) to the potential [Eq. (60a)] is given by the superposition of electron-atom pseudopotentials exerted on the electron by the helium atoms within the surface density profile of the bubble walls and by the electronic polarization potential V,(r) induced within the region of the bubble, which is represented in terms of a cluster image potential... 

With the addition of a pseudopotential interaction between electrons and metal ions, the density-functional approach has been used82 to calculate the effect of the solvent of the electrolyte phase on the potential difference across the surface of a liquid metal. The solvent is modeled as a repulsive barrier or as a region of dielectric constant greater than unity or both. Assuming no specific adsorption, the metal is supposed to be in contact with a monolayer of water, modeled as a region of 3-A thickness (diameter of a water molecule) in which the dielectric constant is 6 (high-frequency value, appropriate for nonorientable dipoles). Beyond this monolayer, the dielectric constant is assumed to take on the bulk liquid value of 78, although the calculations showed that the dielectric constant outside of the monolayer had only a small effect on the electronic profile. 

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