We present a rigorous full quantum mechanical model for the lattice heat capacity of mesoscopic nanostructures in various dimensions. Model can be applied to arbitrary nanostructures with known vibrational spectrum in zero, one, two, or three dimensions. The limiting case of infinitely sized multi-dimensional materials are also found, which are in agreement with well-known results. As examples, we obtain the heat capacity of fullerenes.
@article{arxiv.1009.3114,
title = {Lattice Heat Capacity of Mesoscopic Nanostructures},
author = {B. Gharekhanlou and S. Khorasani and A. Vafai},
journal= {arXiv preprint arXiv:1009.3114},
year = {2010}
}