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Phenomenological model of changes in the speed of a sound wave in crystals caused by dopants

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EN
Abstrakty
EN
The paper examines theoretically changes in the speed of an acoustic wave in crystals caused by metallic dopants. It is well known that an acoustic wave has a wavelength larger than the typical dimension of the elementary crystallographic cell, so it is sensitive only to large-scale features. The model bases on the assumption that a crystal with uniform distributed dopants can be transformed into a multiplayer virtual structure form which some conclusions can be drawn. The approach presented is valid for longitudinal acoustic waves, where the atomic displacement can be considered as a continuum field. It provides positive or negative changes in the acoustic wave speeds for different dopants in a hypothetical lithium niobate crystal.
Rocznik
Strony
447--459
Opis fizyczny
Bibliogr. 12 poz., rys., tab., wykr.
Twórcy
Bibliografia
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  • [2] BŁACHOWICZ T., On the scattering of light on sound waves in the hypersonic range of frequencies; II. The directional sensitivity of Brillouin light scattering, Central European Journal of Physics, CEJP 1, 153–178 (2003), available on-line at http://www.cesj.com/physics.html.
  • [3] BŁACHOWICZ T., Study of the elastic properties of the lithium tantalate crystal by the Brillouin light scattering, Archives of Acoustics, 25, 23–34 (2000).
  • [4] BŁACHOWICZ T., Numerical calculations of the rotational contributions to a scattering coefficient in the piezoelectric LiTaO3 crystal, J. Opt. Soc. Am., B15, 2599–2606 (1998).
  • [5] RYTOV S. M., Akustitscheskie svojjstva mellkosloistnojj sredy, Akust. Zurn., 2, 71–83 (1956).
  • [6] GRIMSDITCH M., [in:] Light scattering in solids, V, M. Cardona and G. Güntherodt, [Eds.], Springer-Verlag, p.285, Berlin, Heildelberg, New York 1989.
  • [7] SEDRAKYAN D. G., SEDRAKYAN A. G., Localization of phonons in two component superlattice with random thicknesses of the layers, arXiv:cond-mat/9810329 preprint, 24 Oct. 1998.
  • [8] JUSSERAND B., [in:] Light scattering in solids, V, M. Cardona and G. Güntherodt, [Eds.], Springer-Verlag, p.49, Berlin, Heildelberg, New York 1989.
  • [9] SRIVASTAVA G. P., The physics of phonons, Adam Hilger, 264–267, Bristol 1990.
  • [10] ASHCROFT N. W., MERMIN N. D., Solid state physics, Holt-Rinehart-Winston 1976.
  • [11] BŁACHOWICZ T., KLESZCZEWSKI Z., SKUMIEL A., Elastic constants of the SrLaAlO4 and SrLaGaO4 crystals measured for ultrasonic and hypersonic acoustic frequencies, Ultrasonics, 39, 611–615 (2002).
  • [12] BŁACHOWICZ T., PYKA M., KLESZCZEWSKI Z., ŚWIRKOWICZ M., ŁUKASIEWICZ T., Doping effects of Cu ions on the elastic properties of the LiNbO3 crystal uncovered by Brillouin scattering, Sol. Stat. Comm., 123, 317–319 (2002).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0011-0005
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