English

Bounds on quantum confinement effects in metal nanoparticles

Mesoscale and Nanoscale Physics 2018-04-04 v3 Optics

Abstract

Quantum size effects on the permittivity of metal nanoparticles are investigated using the quantum box model. Explicit upper and lower bounds are derived for the permittivity and relaxation rates due to quantum confinement effects. These bounds are verified numerically, and the size-dependence and frequency-dependence of the empirical Drude size parameter is extracted from the model. Results suggest that the common practice of empirically modifying the dielectric function can lead to inaccurate predictions for highly uniform distributions of finite-sized particles.

Keywords

Cite

@article{arxiv.1706.06747,
  title  = {Bounds on quantum confinement effects in metal nanoparticles},
  author = {G. Neal Blackman and Dentcho A. Genov},
  journal= {arXiv preprint arXiv:1706.06747},
  year   = {2018}
}

Comments

11 pages, 6 figures

R2 v1 2026-06-22T20:24:48.958Z