The simulation of Raman spectra is an important technique in systematic characterization of nanostructured materials. The effects of frequency shift and asymmetric broadening play an important role in modeling the spectra. Several approaches for calculating Raman spectra by using phonon confinement model are discussed in this work. The phonon confinement model is considered both from the viewpoint of different confinement function and the confinement strength, as well as the dimensionality of the confinement model. The influence of particle size distribution on the shape of the spectra is discussed and some possible distributions such as Gaussian, asymmetric Gaussian and log-normal distribution are compared. The phonon dispersion relations and the choice of the approximation of its shape are also studied. The results of the phonon confinement model are compared to experimental spectra of CeO₂ and anatase TiO₂ nanopowders, with particle size about 7 and 13 nm, respectively. This work points out the possibility of qualitative modeling of Raman spectra of nanostructured materials as a function of confinement effect, particle size distribution and the dispersion relation.

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