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An analytical form for the Raman shift dependence on size of nanocrystals
Author(s) -
Salis M.,
Ricci P. C.,
Anedda A.
Publication year - 2009
Publication title -
journal of raman spectroscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.748
H-Index - 110
eISSN - 1097-4555
pISSN - 0377-0486
DOI - 10.1002/jrs.2076
Subject(s) - raman spectroscopy , phonon , laser linewidth , nanocrystal , condensed matter physics , quadratic equation , lattice (music) , crystal (programming language) , range (aeronautics) , materials science , physics , chemistry , quantum mechanics , nanotechnology , mathematics , laser , geometry , computer science , acoustics , programming language , composite material
An analytical form of the Raman shift dependence on the size of nanocrystals is presented. On the basis of the hard confinement model, this form describes the deviations from Raman shifts in infinite crystals as Δω = π 2 A [1 − exp(−η)]/12 x 2 η 2 , where η = L /12 ax and x = ( A /Γ 0 ) 1/2 , L standing for the crystal size, Γ 0 for the intrinsic band linewidth, a for the lattice parameter and A for a suitable phonon curve parameter. It works in those cases where the average phonon curve shows a quadratic dependence on the phonon quasi‐momentum in the range of interest. Copyright © 2008 John Wiley & Sons, Ltd.