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This continuity cannot be achieved by classical representations [2, 3]. In Fig. 1 the solid curves represent the potential barrier formation in the vacuum space between two dielectrics. 603 × 107 cm–1 ) was chosen as an example. As seen in Fig. 1 (also see [3–5]) the image forces potential, calculated for a charge ±e with non-local electrostatics, is continuous on the interfaces. The height of the potential barrier in the vacuum space L increases with distances from the dielectric surface. The continuity of V0 (x) enables a correct charging condition for each of the two dielectric surfaces.
1 Introduction The transition from micro to nanotechnologies involves the development and use of new materials and structures with properties considerably different from the conventional ones due to the reduced size of the particles (S < 100 nm) and the small distance between them L < 5 nm . In this context a detailed definition of the potential V(r) becomes necessary to understand the essence of the interaction between two solid particles in the nanometer domain. The detail level must account for the differences in bulk properties of interacting particles and interparticle medium, charges, microscopic structures and adsorption layers of surfaces and external electric fields [2–9].
An ordered lattice of total potential V2 (r) inside of the vacuum space is thus created. Fig. 4 nm. SiO2 (111) –vacuum– SiO2 (100) system as depicted in Fig. 2 caption. 4 Conclusions The structural and total interaction potentials in the vacuum space between two dielectric β-cristobalite crystal slabs with symmetrical bulk properties and different surface features have been calculated with the use of the Green’s function applied to the non-local Poisson equation. Calculations of the structural potential V2st (r) in the hyperfine vacuum space show that the inclusion of spatial dispersion effects in the inductivity functions ε1,3 (k) leads to two results: (1) a continuity of the image force potential V0 (x) and the total potential V2 (r) on the slabs and (2) an increase of the V2st (r) contribution as compared to that predicted by local electrostatics.