Proposed herein is a method based on the Levenberg–Marquadt technique to retrieve an approximated average phonon dispersion curve from Raman spectra of nano-sized crystals. To this end we deal with a modified form of the well-known phonon confinement model in which the intrinsic linewidth C0 is replaced by an effective linewidth C. An application to experimental results obtained on TiO2 nano-crystals is presented as a test of the method.
Phonon characterization of nano-crystals by Raman spectroscopy
RICCI, PIER CARLO;SALIS, MARCELLO;ANEDDA, ALBERTO
2008-01-01
Abstract
Proposed herein is a method based on the Levenberg–Marquadt technique to retrieve an approximated average phonon dispersion curve from Raman spectra of nano-sized crystals. To this end we deal with a modified form of the well-known phonon confinement model in which the intrinsic linewidth C0 is replaced by an effective linewidth C. An application to experimental results obtained on TiO2 nano-crystals is presented as a test of the method.
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