Phonon Sidebands in Nanoscale Systems

We calculate phonon sidebands for nanoscale systems in the Coulomb-Blockade regime where one electron at a time tunnels onto and off of the system. Using a combination of quantum chemistry and simple analytic calculations, we determine the relative strengths and the importance of environmental effects on the sidebands. Systems we have studied include the $C_{72}$ (linked buckyballs), short nanotubes, and polyacetylene. In addition, we study molecule size effects on the appearance of phonon sidebands.