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Updated: Sep 11, 2025

Characterization of Nanocrystal Size Distribution using Raman Spectroscopy with a Multi-particle Phonon Confinement Model
Published on: August 22, 2015
Correct normalization of phonon modes for Rayleigh waves
Michael A Stroscio1,2, Mitra Dutta1,2
1Electrical and Computer Engineering Department, University of Illinois at Chicago, Chicago, Illinois 60607, USA.
Abstract:
Phonon mode normalizations derived in this paper are based on a consistent approach for normalizing Rayleigh waves. These Rayleigh waves are being used increasingly for nanoscale applications, including quantum information technology, and currently the literature is full of unnecessary approximate forms of these normalizations. The self-consistency of these derivations, for commonly used Rayleigh wave modes, is based on the second quantization procedure where the mechanical energy in the modes is equated with the energy of a phonon mode.
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