Work

Application of perturbation theory to finding vibrational frequencies of a spheroid

Year: 2025

Type: article

Abstract: We apply perturbation theory of boundary conditions, originally developed by A.B. Migdal and independently by S.A. Moszkowski for deformed atomic nuclei, to finding eigenfrequencies of Raman-active spheroidal modes of a spheroid from these of a sphere and compare the outcomes with the results of numerical calculations for CdSe and silver nanoparticles. The modes are characterized by the total angular momentum $j=2$ and are five-fold degenerate for a sphere but split into three distinct modes, characterized by the absolute value of the total angular momentum projection onto the spheroidal axis, in case of a spheroid. The perturbation method works well in case of the rigid boundary conditions, with the displacement field set to zero at the boundary, and accurately predicts the splittings when the spheroidal shape is close to a sphere, but fails in case of the stress-free boundary conditions.

Source: Physical review. B./Physical review. B

DOI: 10.1103/qvbw-yd7z

Authors: M. O. Nestoklon, L. Saviot, S. V. Goupalov

Institutions: TU Dortmund University, Laboratoire Interdisciplinaire Carnot de Bourgogne, Université Bourgogne Europe, Jackson State University

Language: English

Topic: Gold and Silver Nanoparticles Synthesis and Applications

Subfield: Electronic, Optical and Magnetic Materials

Field: Materials Science

Domain: Physical Sciences

Open Access status: green