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Atomic dislocation core parameters
Author(s) -
Schoeck Gunther
Publication year - 2010
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.200945379
Subject(s) - peierls stress , dislocation , gravitational singularity , perpendicular , condensed matter physics , physics , radius , core (optical fiber) , lattice (music) , line (geometry) , dislocation creep , geometry , classical mechanics , quantum mechanics , mathematics , optics , computer security , computer science , acoustics
The classical expression for the elastic self‐stress and the elastic self‐energy of dislocation loops in a linear elastic continuum by line integrals show singularities and require a cut‐off distance ρ along the dislocation line. Somewhat different singularities exist in the core region of straight dislocation lines and require a cut‐off radius r 0 perpendicular to the dislocation line. These singularities can be avoided when the singular Volterra dislocation line is replaced by a distribution of infinitesimal dislocations. The width of this distribution and the core energy E A cannot be derived from continuum theory but depends on the atomic arrangement in the crystal lattice. It is shown that by using the Peierls model and the concept of Peierls dislocations the values of r 0 and E A can be calculated for the different materials and physically realistic values for the cut‐off parameters can be obtained.