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The comparison between the hydrodynamic (H) and the Lindhard-Mermin (LM) models as applied to total decay-rate calculations has been studied previously for planar metallic surfaces [see S. Corni and J. Tomasi, J. Chem. Phys. 0021-9606 10.1063/1.1558036 118, 6481 (2003)], and for core-shell particles [see R. Chang and P. T. Leung, Phys. Rev. B 0163-1829 10.1103/PhysRevB.73.125438 73, 125438 (2006); R. Chang and P. T. Leung, Phys. Rev. B 75, 079901 (E) (2007)]. While a significant difference between the two models has been observed in the former case, very close results between the two models were obtained in the latter case for a molecule at 1 nm from a metallic nanoshell. The LM model is in principle more accurate than the H model since the latter is simply the lowest order (in wave vector) approximation of the former, and it excludes electron-hole pair excitations in the metal. A detailed comparison between the two models as applied to calculations of each of the fluorescence, radiative, and nonradiative rates will be of interest and will be left for a future endeavor.
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The comparison between the hydrodynamic (H) and the Lindhard-Mermin (LM) models as applied to total decay-rate calculations has been studied previously for planar metallic surfaces [see S. Corni and J. Tomasi, J. Chem. Phys. 0021-9606 10.1063/1.1558036 118, 6481 (2003)], and for core-shell particles [see R. Chang and P. T. Leung, Phys. Rev. B 0163-1829 10.1103/PhysRevB.73.125438 73, 125438 (2006); R. Chang and P. T. Leung, Phys. Rev. B 75, 079901 (E) (2007)]. While a significant difference between the two models has been observed in the former case, very close results between the two models were obtained in the latter case for a molecule at 1 nm from a metallic nanoshell. The LM model is in principle more accurate than the H model since the latter is simply the lowest order (in wave vector) approximation of the former, and it excludes electron-hole pair excitations in the metal. A detailed comparison between the two models as applied to calculations of each of the fluorescence, radiative, and nonradiative rates will be of interest and will be left for a future endeavor.
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