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A Quantized Screening Theory for the Surface Energy of Solids in the Hydrodynamic Jellium Model
Author(s) -
Babiker M.,
Cottam M. G.
Publication year - 1989
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221530114
Subject(s) - jellium , multipole expansion , polarization (electrochemistry) , screening effect , surface (topology) , physics , electric field , classical mechanics , electron , condensed matter physics , chemistry , quantum mechanics , geometry , mathematics
A simple model for the surface energy of solids in the jellium model is described, based on the modifications of the screening properties in the presence of a free surface. In contrast to the case in the bulk, a constituent charge and its screening cloud will acquire position‐dependent electric multipole distributions. The interaction of these with the free longitudinal polarization field gives a measure of the surface energy of the solid. The calculations are presented within the dispersive hydrodynamic (jellium) approximation taking two alternative forms of the boundary condition. The applicability of this theory to the surface energy of metals is discussed.