The effects of lattice-mismatched strain on the optical properties of type-I core/shell quantum dot nanostructures are investigated theoretically using the simple continuum elasticity and the effective mass quantum mechanics models. The misfit strains are calculated based on the spherically anisotropic linear elasticity solution for a misfitted inclusion embedded in a finite matrix. The effective mass quantum mechanics model for the case of a CdSe/CdS core/shell quantum dot (QD) shows that the subband energy is blue shifted by the compressive strain in the QD core resulting from the lattice-mismatched heterojunction. Using a very simple spherically anisotropic strain model, we calculated the subband, interband transition, and binding energies for a zinc-blende (ZB) CdSe/CdS QD. These results compare favorably with those obtained from the finite element analysis (FEA) considering the rectilinear cubic crystal anisotropy.

使用简单的连续介质弹性和有效质量量子力学模型，从理论上研究了晶格失配应变对 I 型核/壳量子点纳米结构光学性质的影响。错配应变是基于嵌入有限矩阵的错配夹杂物的球面各向异性线性弹性解计算的。CdSe/CdS 核/壳量子点 (QD) 情况下的有效质量量子力学模型表明，由于晶格失配异质结导致 QD 核中的压缩应变，子带能量发生蓝移。使用非常简单的球面各向异性应变模型，我们计算了闪锌矿 (ZB) CdSe/CdS QD 的子带、带间跃迁和结合能。