Vacancy formation energies and Faber's formula

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Published under licence by IOP Publishing Ltd
, , Citation P Minchin et al 1974 J. Phys. F: Met. Phys. 4 2117 DOI 10.1088/0305-4608/4/12/006

0305-4608/4/12/2117

Abstract

A formula due to Faber for the energies of formation of vacancies in metals is investigated from the general theoretical and numerical viewpoints. It is shown that the effective interatomic potential involved is of larger amplitude and longer range than that obtained by pseudopotential theory. Numerical success can be expected for monovalent and divalent metals. For higher valence cases it seems that non local electron-ion potentials or pseudopotential theory beyond second order (or both effects) must necessarily enter a successful formulation.

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10.1088/0305-4608/4/12/006