Electron-phonon interactions in insulating nanoparticles: Eu 2 O 3

摘要: The temperature and particle size dependencies of the linewidth spectral holes burned in ${}^{7}{\stackrel{\ensuremath{\rightarrow}}{{F}_{0}}}^{5}{D}_{0}$ transition ${\mathrm{Eu}}^{3+}$ ions ${\mathrm{Eu}}_{2}{\mathrm{O}}_{3}$ are calculated compared with experiment. power-low behavior $\ensuremath{\sim}{T}^{7},$ well-known experimentally theoretically for bulk, is observed to be strongly weakened $\ensuremath{\sim}{T}^{3}$ nanoparticles. A calculation performed that assumes a two-phonon Raman-scattering mechanism involving discrete phonon modes homogeneous nanoparticle stress-free boundary conditions. experimental results successfully described assuming broaden frequency as $\ensuremath{\sim}{\ensuremath{\omega}}^{2}.$ quantitative comparison calculations experiment allows determination resonances predict dependence hole $\ensuremath{\sim}{D}^{\ensuremath{-}2.5},$ close agreement