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Lattice dynamics and temperature dependence of the first‐order Raman spectra for α‐SiO 2 crystals
Author(s) -
Ichikawa Shinya,
Suda Jun,
Sato Tsutomu,
Suzuki Yushi
Publication year - 2003
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.966
Subject(s) - anharmonicity , raman spectroscopy , phonon , laser linewidth , condensed matter physics , chemistry , quartic function , lattice (music) , spectral line , atmospheric temperature range , crystal structure , crystal (programming language) , ion , perturbation (astronomy) , molecular physics , physics , crystallography , optics , thermodynamics , quantum mechanics , laser , programming language , mathematics , organic chemistry , computer science , acoustics , pure mathematics
The phonon dispersion curves for α‐SiO 2 crystals were calculated on the basis of a rigid‐ion model. The first‐order Raman spectra of the A 1 mode of the α‐SiO 2 crystal were measured in the temperature range from 303.1 to 773.1 K. The temperature dependence of the linewidth was analyzed by using the phonon dispersion curves, and the results showed that it was caused approximately by the cubic anharmonic term in the crystal potential energy. The temperature dependence of the frequency shift of the A 1 mode was analyzed by using the lattice dynamic perturbative treatment. We found that the quartic anharmonic term of the first‐order perturbation and also the cubic term of the second‐order perturbation contribute to the temperature dependence of the frequency shift of the A 1 mode in the α‐SiO 2 crystal. Copyright © 2003 John Wiley & Sons, Ltd.