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

S. I. Ben‐Abraham; A. Rabinovitch; J. Pelleg

doi:10.1002/pssb.2220840205

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

S. I. Ben‐Abraham, A. Rabinovitch, J. Pelleg

Department of Physics

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9 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 language	English
Pages (from-to)	435-441
Number of pages	7
Journal	physica status solidi (b)
Volume	84
Issue number	2
DOIs	https://doi.org/10.1002/pssb.2220840205
State	Published - 1 Jan 1977

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1002/pssb.2220840205

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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.",

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AU - Rabinovitch, A.

AU - Pelleg, J.

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N2 - 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.

AB - 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.

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DO - 10.1002/pssb.2220840205

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AN - SCOPUS:0017726043

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JO - physica status solidi (b)

JF - physica status solidi (b)

IS - 2

ER -

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

Abstract

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