Relations between vacancy migration and formation energies, debye temperature and melting point

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7 Scopus citations

Abstract

The interaction between a vacancy and the lattice vibrations is represented as a collision between a sine‐Gordon soliton and a breather. The migration to formation energy ratio of a vacancy is found to be ϵ = 2 tgh (π/8≈), where ϵ is a relaxation radius. From general considerations 0.6 < ϵ < 1.2, whence ϵ ≈ 0.91 ± 0.25 modified by crystal structure. The relationship for ϵ implies that both the energies of migration and formation are simply related to the Debye temperature. Through Lindemann's melting formula they are then proportional to the melting point.

Original languageEnglish
Pages (from-to)435-441
Number of pages7
Journalphysica status solidi (b)
Volume84
Issue number2
DOIs
StatePublished - 1 Jan 1977

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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