Abstract:
We show that applying the methods of the quantum theory of angular momentum enables us to obtain frequency equations for vibrational modes of a uniform isotropic elastic sphere, cylindrical rod, and infinite plate and results in a natural classification of these modes. We discuss how these models can be applied to describe vibrations of metal nanoparticles and semiconductor nanocrystals.
PACS:03.65.-w, 46.40.-p, 46.70.-p
Received:February 24, 2019 Revised:April 8, 2019 Accepted: April 17, 2019