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Infrared and Raman selection rules for elastic vibrations of spherical nanoparticles

Makoto Kanehisa
Phys. Rev. B 72, 241405(R) – Published 23 December 2005

Abstract

It is shown that the assignment of parity in previous works neglected the vector nature of the elastic field and thus the resultant selection rules are erroneous. We propose a correct selection rule: Among the vibration modes of a sphere, only the torsional mode with angular momentum l=1 is observable by infrared absorption and the torsional mode with l=2 is observable by Raman scattering. The spheroidal modes cannot be observed by infrared or Raman spectroscopy in the dipole approximation.

  • Received 22 June 2005

DOI:https://doi.org/10.1103/PhysRevB.72.241405

©2005 American Physical Society

Authors & Affiliations

Makoto Kanehisa

  • Institut des Nanosciences de Paris, Universités Pierre et Marie Curie et Denis Diderot, Campus Boucicaut, 140 rue de Lourmel, 75015 Paris, France

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Issue

Vol. 72, Iss. 24 — 15 December 2005

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