6533b836fe1ef96bd12a13a8

RESEARCH PRODUCT

Simple model for the vibrations of embedded elastically cubic nanocrystals

Saviot LucienAlain MermetM.c. Marco De LucasEugène DuvalSergey SirotkinDaniel B. Murray

subject

Work (thermodynamics)Materials scienceFOS: Physical sciences02 engineering and technology01 natural sciencesSpectral lineMatrix (mathematics)symbols.namesakeOptics0103 physical sciencesMesoscale and Nanoscale Physics (cond-mat.mes-hall)010306 general physicsAnisotropyCondensed matter physicsCondensed Matter - Mesoscale and Nanoscale Physicsbusiness.industryIsotropy[ PHYS.COND.CM-GEN ] Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other]021001 nanoscience & nanotechnologyCondensed Matter PhysicsElectronic Optical and Magnetic MaterialsVibrationMolecular vibration[PHYS.COND.CM-GEN]Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other]symbols0210 nano-technologybusinessRaman scattering

description

The purpose of this work is to calculate the vibrational modes of an elastically anisotropic sphere embedded in an isotropic matrix. This has important application to understanding the spectra of low-frequency Raman scattering from nanoparticles embedded in a glass matrix. First some low frequency vibrational modes of a free cubically elastic sphere are found to be nearly independent of one combination of elastic constants. This is then exploited to obtain an isotropic approximation for these modes which enables to take into account the surrounding isotropic matrix. This method is then used to quantatively explain recent spectra of gold and copper nanocrystals in glasses.

https://dx.doi.org/10.48550/arxiv.1009.1961