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- W1966076407 abstract "The response of a small metal sphere to a uniform electrostatic field is calculated within density-functional theory. The gradient-expansion approximation is used for the kinetic-energy functional, while exchange and correlation are treated in the local-density approximation. A jellium model is assumed and the electron density is determined by a variational method. Calculations were performed for spheres containing between 5 and 8000 electrons. The applied field was found to induce a substantial amount of charge outside the sphere. This causes the electronic polarizability $ensuremath{alpha}$ to be larger than the classical value ${R}^{3}$, where $R$ is the radius of the sphere. Our calculations give $ensuremath{alpha}={(R+ensuremath{delta})}^{3}$, where $R+ensuremath{delta}$ plays the role of an effective radius, and $ensuremath{delta}$ is approximately 2.0 a.u. for the electron-radius parameter ${r}_{s}=2$ and is approximately 1.0 a.u. for ${r}_{s}=4$. Our calculated values of $ensuremath{delta}$ are nearly independent of $R$. As $R$ approaches infinity, $ensuremath{delta}$ approaches the image-plane distance for the problem of a flat surface. It is shown that there is a force sum rule that is not well satisfied by previous calculations, and is approximately satisfied by most of our calculations." @default.
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- W1966076407 date "1983-11-15" @default.
- W1966076407 modified "2023-10-16" @default.
- W1966076407 title "Density-functional calculation of the static electronic polarizability of a small metal sphere" @default.
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- W1966076407 doi "https://doi.org/10.1103/physrevb.28.5702" @default.
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