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We examine the size quantization of plasmons in metallic nanoparticles using time-dependent density functional theory. For small particles in the quantum limit, we identify "quantum core plasmons" and "classical surface plasmons", both of which are collective oscillations comprised of multiple single-particle transitions. As particle size increases, the response of the classical surface plasmons becomes much larger than that of the quantum core plasmons.
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Townsend et al. (2011) studied this question.
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