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Relations between vacancy migration and formation energies, debye temperature and melting point
Author(s) -
BenAbraham S. I.,
Rabinovitch A.,
Pelleg J.
Publication year - 1977
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220840205
Subject(s) - vacancy defect , melting point , condensed matter physics , breather , melting temperature , debye model , radius , crystal (programming language) , relaxation (psychology) , debye , physics , chemistry , thermodynamics , materials science , quantum mechanics , nonlinear system , psychology , social psychology , computer security , computer science , composite material , programming language
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.