A semi-local density-only approximation to ELF, derived from a harmonically confined electron gas, qualitatively mimics true ELF for covalent and metallic bonds but fails quantitatively and in weakly bonded regions.
Pauling, The Nature of the Chemical Bond (Cornell University Press, 1948)
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Semi-Local Parameterization of the Electron Localization Function in Second-Order Density Gradients
A semi-local density-only approximation to ELF, derived from a harmonically confined electron gas, qualitatively mimics true ELF for covalent and metallic bonds but fails quantitatively and in weakly bonded regions.