Abstract
The effect of disorder upon vibrational frequency spectra is investigated, using a simple two-dimensional glass-forming model system. It is found that the presence of topological disorder alone, in the glass, may cause its spectrum to differ considerably in appearance from those of related crystals. The introduction of an element of angular randomness increases the disparity between glass and crystal spectra further. Other types of imperfection, such as the breaking of interatomic bonds and distortion of individual molecular units, are also shown to produce characteristic spectral effects. The two-dimensional model system studied has strong structural similarities with a number of real three-dimensional glasses such as SiO2 and B2O3, and the results obtained must call into serious question the validity of interpreting the observed vibrational spectra of such materials in terms of those of corresponding crystals.
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