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"

Cited by in corpus (4)

• Longitudinal versus transverse spheroidal vibrational modes of an elastic sphere
• Long lived acoustic vibrational modes of an embedded nanoparticle
• Continuum elastic sphere vibrations as a model for low-lying optical modes in icosahedral quasicrystals
• The connection between elastic scattering cross sections and acoustic vibrations of an embedded nanoparticle