B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine 47 Lenin Ave., Kharkov 61103, Ukraine
Received October 20, 2006
The density of states g(w)of disordered solutions of solidified inert gases have been calculated using the Jacobian matrix method. The transformation of a discrete vibrational level into an impurity zone at a growing concentration of light impurity atoms has been investigated. It is shown that a 1–10% change in the
impurity concentration leads to smearing the local discrete level into an impurity band. As this occurs, additional resonance levels appear which carry important information about the impurity–impurity and impurity–basic lattice force interactions in such solutions.
PACS: 63.20.–e Phonons in crystal lattice; PACS: 63.20.Mt Phonon–defect interaction; PACS: 63.20.Pw Localized modes; PACS: 63.50.+x Vibrational states of disordered systems.
Key words: phonon density of states, spectral density, Green function, Jacoby matrix, local vibration, disordered solution.