Low temperature heat capacity models for substances with diamond-like structures have been considered on the basis of the Debye model and fractal states filling at fixed characteristic temperature. It was shown that low temperature calorimetry is an efficient tool for scanning the distribution of the atomic vibrational states in real substances. Fractal dimension and Poisson’s ratio in the elastic-isotropic multifractal model are related by a simple interdependence, which enables estimation of the fractal dimension from elastic properties of solids.