Philosophical magazine. A/Philosophical magazine. A. Physics of condensed matter. Structure, defects and mechanical properties · 1990 · 195 citations · 7 references
Natural SciencesMaterials EngineeringMaterials ScienceCondensed Matter PhysicsElectronic MaterialsSemiconductor MaterialsDislocation MechanicsDislocation TheoryDislocations In SemiconductorsSemiconductor HeterostructuresSemiconductor PhysicsStrain AnalysisDislocation DynamicsDislocation PhysicsDislocations In Epitaxial FilmsElastic ConstantsEpitaxial OverlayersHeterostructuresStrain EffectsStrain Relaxation
Abstract An exact closed-form formula is given for the energy of an array of dislocations, arranged periodically on the interface between an epitaxial layer and its substrate, when these are modelled as elastically isotropic with the same elastic constants. In the course of the formulation, the exact equivalence of equilibrium theories originating in the work of Frank and van der Merwe and of Matthews and Blakeslee is established. The new formula allows the exact assessment of arrays of dislocations in equilibrium, for layers thicker than critical. This demonstrates that previous approximations may be seriously in error.
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