Nanoscale modeling of an embedded multi-shell fullerene and its application to vibrational analysis

In this paper, nanoscale modeling of a multi-shell fullerene embedded in an elastic medium and its application to vibrational analysis is investigated. The spherical layers of the multi-shell fullerene are concentrically nested, with carbon–carbon van der Waals interactions between them. Also, the whole multi-shell fullerene is influenced by polymer–carbon van der Waals forces from the surrounding elastic medium. The elasticity generated by the carbon–carbon bonds is assumed to be distributed isotropically over the fullerene surfaces. Following derivation of explicit equations for the motion of the multi-shell fullerene, vibrational behavior of a double-shell fullerene is analyzed and resonant frequencies and the associated mode shapes are determined.