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Optics and Spectroscopy, 2018, Volume 125, Issue 5, Pages 615–622
DOI: https://doi.org/10.21883/OS.2018.11.46819.200-18
(Mi os843)
 

This article is cited in 2 scientific papers (total in 2 papers)

Spectroscopy of condensed matter

Structure and lattice dynamics of RE$_{3}$Al$_{5}$O$_{12}$ (RE = Gd–Lu, Y) rare-earth garnets: ab initio calculation

V. A. Chernyshev, A. V. Serdtsev

Ural Federal University, 620002, Yekaterinburg, Russia
Full-text PDF (635 kB) Citations (2)
Abstract: Rare-earth garnets with the general formula RE$_{3}$Al$_{5}$O$_{12}$ (RE = Gd–Lu, Y) are investigated in the MO LCAO approximation. The phonon spectrum of Y$_3$Al$_5$O$_{12}$ at the $\Gamma$ point is calculated. Fundamental vibrations in the structure of Y$_{3}$Al$_{5}$O$_{12}$ are assigned based on an analysis of ab initio calculated displacement vectors. The elastic constants of the RE$_{3}$Al$_{5}$O$_{12}$ crystals are determined. Calculations are performed in terms of the density functional theory. The need to use hybrid functionals, which take into account the contribution of the nonlocal exchange into the Hartree–Fock formalism, is shown. The description of inner shells of the rare-earth ion down to 4$f$ inclusive by a pseudopotential (4$f$-in-core) is shown to ensure significant reducing the computer cost, with the description accuracy of the structure and the lattice dynamics being preserved. The CRYSTAL program, intended for ab initio calculations of periodic structures, is used.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 3.9534.2017/8.9
Received: 14.07.2018
English version:
Optics and Spectroscopy, 2018, Volume 125, Issue 5, Pages 646–654
DOI: https://doi.org/10.1134/S0030400X18110073
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Chernyshev, A. V. Serdtsev, “Structure and lattice dynamics of RE$_{3}$Al$_{5}$O$_{12}$ (RE = Gd–Lu, Y) rare-earth garnets: ab initio calculation”, Optics and Spectroscopy, 125:5 (2018), 615–622; Optics and Spectroscopy, 125:5 (2018), 646–654
Citation in format AMSBIB
\Bibitem{CheSer18}
\by V.~A.~Chernyshev, A.~V.~Serdtsev
\paper Structure and lattice dynamics of RE$_{3}$Al$_{5}$O$_{12}$ (RE = Gd--Lu, Y) rare-earth garnets: ab initio calculation
\jour Optics and Spectroscopy
\yr 2018
\vol 125
\issue 5
\pages 615--622
\mathnet{http://mi.mathnet.ru/os843}
\crossref{https://doi.org/10.21883/OS.2018.11.46819.200-18}
\elib{https://elibrary.ru/item.asp?id=36905274}
\transl
\jour Optics and Spectroscopy
\yr 2018
\vol 125
\issue 5
\pages 646--654
\crossref{https://doi.org/10.1134/S0030400X18110073}
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  • https://www.mathnet.ru/eng/os/v125/i5/p615
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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