Space charge concept electrostatic potential

Understanding of the electrostatics across nanocrystalline semiconductor film-electrolyte junctions presents interesting challenges, particularly from a theoretical perspective. Concepts related to space-charge layers, band-bending, flat-band potential and the like (Section 1.3) are not really applicable here because the crystallite dimensions comprising these layers are comparable to (or even smaller than) nominal depletion layer widths. 

Such an expression has previously been used for comparative purposes, for the study of interaction between two molecular species, by computing the electrostatic potential of the first partner and by assuming some point charge model as representative of the charge distribution of the second partner. We also plan to extend this concept in a more subtle way by using an electron density contour map to describe the charge distribution of the second partner as a function of the space surrounding this second partner. 

The surface modeling is connected with the basic concepts, introduced by Tasker [772] in a discussion of the stabihty of surfaces of ionic or partly ionic crystals. According to classical electrostatic criteria, the stabihty of a compound surface depends on the characteristics of the charge distribution in the structural unit that repeats itself in the direction perpendicular to the surface. The surface can be studied by considering the crystal as a stack of atomic planes. Each plane consists of sublattices of nonequivalent atoms, a sum over each sublattice on each plane gives the total electrostatic potential. For perpendicular distances z greater than a few interionic spacings, the contribution from a planar sublattice reduces to the particularly simple form... 

System Constitutive Properties According to electrostatics, each individual charge influences at a distance the other charges in producing an electric fleld that creates in every point of the space an electric potential. In the present concept of a pole, the sum of these potentials at a point is supposed to be identical for all points and constitutes the potential V in which the charges are covered. This potential V depends of the total charge Q and one traditionally writes the relation between these two quantities as the linear relationship... 

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