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Plasmonic Nanoparticles

Universal analytical modeling for rods, cages, disks, rings, bipyramids, and related shapes. Materials use the same tabulated n,k interpolation as the Mie scattering lab.

Validity: this analytical model is based on the electrostatic (quasi-static) approximation with geometry-only modal polarizabilities. It is not a fully retarded electrodynamic solution, so retardation and phase effects are approximate, especially for larger particles.

Geometries Nanorod
Extinction, absorption, scattering Cross sections per particle volume
Apparent color
scattered
transmitted
Peak λ — nm
Q factor — FWHM
Yield Y — at peak
σext / V — nm-1
Albedo — σsca/σext
Volume — nm3
Model range Dominant mode

Homogeneous local-response particles in a uniform host. The scalar modal model does not provide exact near-field or LDOS maps.

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References & data sources

  • R. Yu, L. M. Liz-Marzan, and F. J. Garcia de Abajo, Universal analytical modeling of plasmonic nanoparticles, Chemical Society Reviews 46, 6710-6724 (2017).
  • Optical constants reuse the Lab's tabulated n,k interpolation from refractiveindex.info data; Au/Ag: Johnson & Christy (1972), Al: Rakic (1995), Cu: sparse fallback converted from the Yu et al. reference implementation.