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Absence of Definite Scaling Laws in Raman Scattering from Fractals

1992/10/30 by P. Benassi, Benassi, P., O. Pilla +12
Chemistry · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Spectroscopy and Chemometric Analyses #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9210027

4 pages revtex, 4 figures upon request, UTF-OS-301092

arxiv created 1992/10/30 · openalex publication_date 1992/10/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The frequency dependence of the Raman coupling coefficient C(ω) is calculated numerically for square and cubic percolation clusters. No general scaling law in terms of the macroscopic parameters such as the fractal dimension D or the spectral dimension d is found. C(ω) is sensitive to the microscopic structure of the clusters and depends on: site- or bond-percolation, presence or absence of dangling bonds, scattering mechanism and polarization, presence or absence of polarizability disorder. This situation makes the derivation of macroscopic parameters from Raman experiments unreliable.

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