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Vibrations of free and embedded anisotropic elastic spheres: Application to low-frequency Raman scattering of silicon nanoparticles in silica

2003/07/25 by Lucien Saviot, Daniel B Murray, D. B. Murray +2 · 1 citation
Biochemistry, Genetics and Molecular Biology · Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Silicon Nanostructures and Photoluminescence #Spectroscopy Techniques in Biomedical and Chemical Research #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevb.69.113402

published as Phys. Rev. B 69, 113402 (2004)

arxiv created 2003/07/25 · openalex publication_date 2004/03/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Vibrational mode frequencies and damping are calculated for an elastic sphere embedded in an infinite, homogeneous, isotropic elastic medium. Anisotropic elasticity of the sphere significantly shifts the frequencies in comparison to simplified calculations that assume isotropy. New low-frequency Raman light scattering data are presented for silicon spheres grown in a SiO2 glass matrix. Principal features of the Raman spectrum are not correctly described by a simple model of the nanoparticle as a free, isotropic sphere, but require both matrix effects and the anisotropy of the silicon to be taken into account. Libration, not vibration, is the dominant mechanism.

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