Quantum dots and wires, having a mismatch of crystal lattice parameters with respect to the surrounding matrix, were modelled by spherical and cylindrical inclusions, respectively. By considering the energy of a circular prismatic dislocation loop nucleation in the inclusions, the critical radius and critical dilatation for a dot and a wire were calculated. The results were compared with similar critical parameters for a mismatched film on a substrate.

Misfit Dislocation Loops and Critical Parameters of Quantum Dots and Wires. A.L.Kolesnikova, A.E.Romanov: Philosophical Magazine Letters, 2004, 84[8], 501-6