The connection between elastic scattering cross sections and acoustic vibrations of an embedded nanoparticle

Details The connection between elastic scattering cross sections and acoustic vibrations of an embedded nanoparticle The connection between elastic scattering cross sections and acoustic vibrations of an embedded nanoparticle

2004-10-20

arxiv.org/abs/cond-mat/0410499v1

phys. stat. sol. (c) 1(11), 2634 (2004)

Physics

Condensed Matter

Materials Science

Accepted for publication in physica status solidi (c) (C) (2003) WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim Proceedings of Pho

Scientific paper

10.1002/pssc.200405333

Arbitrary waves incident on a solid embedded nanoparticle are studied. The acoustic vibrational frequencies are shown to correspond to the poles of the scattering cross section in the complex frequency plane. The location of the poles is unchanged even if the incident wave is nonplanar. A second approach approximating the infinite matrix as a very large shell surrounding the nanoparticle provides an alternate way of predicting the mode frequencies. The wave function of the vibration is also provided.

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