Abstract
In real crystals the impurity-induced strain field u(r) may exhibit oscillatory behavior, anisotropy and symmetry of the host lattice. But the elastic continuum theory, described in Chapter 6, yields u(r) which does not exhibit any of the above features. Ponnambalam and Jena (1981, 1984) introduced arbitrarily an oscillatory form of u(r) without giving any justification for it. It is expected that the discreteness of a lattice can be incorporated in the estimation of u(r) from ab initio by making use of the lattice theory of crystalline solids (Born and Huang, 1954; Maradudin et al., 1971). The following two lattice static methods, based on the Born—von Karman (BvK) theory of crystalline solids, are used to evaluate the strain field and incorporate the discreteness of host lattice with proper symmetry.
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References
Suggested Reading
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Galsin, J.S. (2002). Lattice Static Methods in Metallic Alloys. In: Impurity Scattering in Metallic Alloys. Physics of Solids and Liquids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1241-7_13
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DOI: https://doi.org/10.1007/978-1-4615-1241-7_13
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