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 language | English |
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Pages (from-to) | 435-441 |
Number of pages | 7 |
Journal | physica status solidi (b) |
Volume | 84 |
Issue number | 2 |
DOIs | |
State | Published - 1 Jan 1977 |
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics