An analysis of the frequency distribution function and dielectric and scattering properties, using the orthogonalised-moments method

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Abstract
The orthogonalised-moments method is an exact and simple method that has been developed recently to determine the coefficients of the continued-fraction representation of the density of electronic states. The spectral densities of perfect systems, of systems with topological defects and of disordered systems can also be determined with accuracy. Furthermore, the combined densities and the contribution of the one-phonon and two-phonon processes to the infrared absorption and Raman scattering can be simply determined for any type of system. These results are illustrated via applications to several models: perfect chains, chains with defects, disordered chains and the model used in the study of the dynamics of trans-polyacetylene.