Stress effect on bandgap change of a semiconductor nanocrystal in an elastic matrix

In this work, we study the bandgap change of a spherical semiconductor nanoparticle in an elastic matrix under framework linear elasticity. There are two important ratios – one is ratio interface energy between nanoparticle-solution and nanoparticle-matrix interface, other modulus matrix. Without external loading, dependent on both ratios. Under hydrostatic strain or simple shear strain, decreases with increasing to that orientation-dependent.