Ugwuoke, Luke C.Mančal, TomášKruger, T.P.J. (Tjaart)2020-01-222020-02Ugwuoke, L.C., Mančal, T. & Krüger, T.P.J. Localized Surface Plasmon Resonances of Simple Tunable Plasmonic Nanostructures. Plasmonics 15, 189–200 (2020). https://doi.org/10.1007/s11468-019-01019-3.1557-1955 (print)1557-1963 (online)10.1007/s11468-019-01019-3http://hdl.handle.net/2263/72864We derive and present systematic relationships between the analytical formulas for calculation of the localized surface plasmon resonances (LSPR) of some plasmonic nanostructures which we have categorized as simple. These relationships, including some new formulas, are summarized in a tree diagram which highlights the core-shell plasmons as the generators of solid and cavity plasmons. In addition, we show that the LSPR of complex structures can be reduced to that of simpler ones, using the LSPR of a nanorice as a case study, in the dipole limit. All the formulas were derived using a combination of the Drude model, the Rayleigh approximation, and the Fröhlich condition. The formulas are handy and they are in good agreement with the results of the plasmon hybridization theory. The formulas also account for dielectric effects, which provide versatility in the tuning of the LSPR of the nanostructures. A simplified model of plasmon hybridization is presented, allowing us to investigate the weak-coupling regimes of solid and cavity plasmons in the core-shell nanostructures we have studied.en© Springer Science+Business Media, LLC, part of Springer Nature 2019. The original publication is available at : https://link.springer.com/journal/11468.GoldLocalized surface plasmons (LSP)Local response approximation (LRA)Electrostatic polarizabilitySymmetrizationAnti-symmetrizationDielectric reversalGeometric reductionPlasmon hybridizationLocalized surface plasmon resonance (LSPR)Postprint Article