Phonons in an Inhomogeneous Continuum: Vibrations of an Embedded Nanoparticle

Abstract

The spectrum of acoustic vibrational modes of an inhomogeneous elastic continuum are analyzed with application to a spherical nanoparticle embedded in an infinite glass block. The relationship of these modes to the discrete vibrational spectrum of a free sphere is studied. The vibrational modes of a sphere with a fixed surface are relevant in some situations. Comparisons are also made to calculations of mode frequency and damping based on complex valued frequency.

RevTeX4, 10 pages, 6 figures

References in corpus (2)

• Vibrations of free and embedded anisotropic elastic spheres: Application to low-frequency Raman scattering of silicon nanoparticles in silica
• Comment on "Estimate of the vibrational frequencies of spherical virus particles"

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• Strong shape-dependent intensity of inelastic light scattering by gold nanocrystals