Continual model of nanostructures, clusters and massive bodies

In this work a fractal continuum model of condensed matter was used to study the termal properties of clusters and massive bodies. Calculations of vibrational spectra of molecular clusters were carried out using ab initio methods. It was shown that nanostructures and clusters can be considered as a continuous environment, such crystalline. Solid bodies can be classified by parameter of dimensionality of the vibrational spectrum.