1997
DOI: 10.1063/1.365762
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Simple model for the dielectric constant of nanoscale silicon particle

Abstract: As the physical size approaches several nanometers, reduction in the static dielectric constant ε becomes significant. A modified Penn model, taking into account the quantum confinement induced discrete energy states, was applied to a sphere and to a wire. The calculated size dependent ε is consistent with the wave-vector-dependent ε(q). However, this form of ε is more amenable for calculations of donor and exciton binding energies in a finite quantum confined nanoparticle when a full electrostatic boundary va… Show more

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Cited by 129 publications
(96 citation statements)
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“…Large static dielectric constants are observed in bulk V-VI-VII materials, because a halide with ns 2 ions (e.g., Sb 3+ , Sn 2+ ) usually has enhanced cationanion hybridization that increases lattice polarization. [31,33] However, as the size approaches several nanometers, reduction in becomes significant, [50] because electrons and holes are bound in quantized states. The static dielectric constants of 1D V-VI-VII materials along the covalently bonded 1D axis become much smaller than their bulk counterparts.…”
Section: Numerical Results and Discussionmentioning
confidence: 99%
“…Large static dielectric constants are observed in bulk V-VI-VII materials, because a halide with ns 2 ions (e.g., Sb 3+ , Sn 2+ ) usually has enhanced cationanion hybridization that increases lattice polarization. [31,33] However, as the size approaches several nanometers, reduction in becomes significant, [50] because electrons and holes are bound in quantized states. The static dielectric constants of 1D V-VI-VII materials along the covalently bonded 1D axis become much smaller than their bulk counterparts.…”
Section: Numerical Results and Discussionmentioning
confidence: 99%
“…If the eeh separation, r eeh , is considerably larger than the localization length, R 0 , the probability of the radiation recombination is extremely small. On the other hand, the involved dielectric constant 3 r is no longer constant but it is size dependent [498,497].…”
Section: Hamiltonian Perturbationmentioning
confidence: 99%
“…These dedicated observations confirm that the particle size and oxidation have important effects on the core-level shift of nanometric compounds, which is of great value in understanding the nature of nanometric systems. (iv) Because of E G expansion, the complex dielectric constant of a nanometric semiconductor is significantly suppressed [497], which forms enormous impact in electronic and optical devices. The reduction of dielectric constant can enhance the Coulomb interaction among electrons, holes, and ionized shallow impurities in nanometric devices, and enhances the exciton binding energy [498].…”
Section: Introductionmentioning
confidence: 99%
“…For the treatment of Coulomb interaction we follow references [60,61]. While often the direct Coulomb interaction is assumed to be screened by the static dielectric constant of the bulk material bulk r = 9.2 [58], other studies [58,[62][63][64] indicate a reduction of r in QDs, e.g., due to a decrease of phononic screening. Here, we use r = 7.4 to fit the experimental data.…”
Section: Energetic Structure Of Cdse/znse Quantum Dotsmentioning
confidence: 99%