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Quantum mechanical pseudopotential calculations of the absorption spectra and static dielectric constant ₒ of Si quantum dots with 100-1300 atoms are presented. The predicted ₒ is found to be significantly reduced relative to the bulk value, but is considerably larger than the value deduced from currently available model calculations. A convenient parametrization of ₒ vs size R is provided. We find that for quantum dots with R<20 the electron-hole pair is confined by the physical dimension of the dot, not by the Coulomb attraction.
Wang et al. (Mon,) studied this question.