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Tolerance Factor for Huntite-Family Compounds

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Abstract

85 RM3(BO3)4 (R is the rare-earth element (Y, La–Lu) and M = Al, Sc, Cr, Fe, or Ga) compounds with the huntite structure have been analyzed. The analysis of the structures has made it possible to determine critical atomic displacements during the phase transition R32 ↔ P3121 and establish how these critical displacements can be controlled by varying the ionic radii. A tolerance factor has been derived and its threshold value below which the structure is stable in the R32 phase and above it, in the distorted P3121 phase, has been found. The formula has been tested on more than 30 huntite-family compounds and good agreement has been obtained. Therefore, it can be used with confidence to predict new compounds. At the moment, the tolerance factor has allowed us to establish previously unknown regularities in huntites.

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REFERENCES

  1. D. Xue, K. Betzler, H. Hesse, and D. Lammers, Solid State Commun. 114, 21 (2000).

    ADS  Google Scholar 

  2. J. A. Campá, C. Cascales, E. Gutiérrez-Puebla, M. A. Monge, I. Rasines, and C. Ruíz-Valero, Chem. Mater. 9, 237 (1997).

    Google Scholar 

  3. K.-C. Liang, R. P. Chaudhury, B. Lorenz, Y. Y. Sun, L. N. Bezmaternykh, V. L. Temerov, and C. W. Chu, Phys. Rev. B 83, 180417 (2011).

    ADS  Google Scholar 

  4. J.-P. Meyn, T. Jensen, and G. Huber, IEEE J. Quantum Electron. 30, 913 (1994).

    ADS  Google Scholar 

  5. I. Couwenberg, K. Binnemans, H. de Leebeeck, and C. Görller-Walrand, J. Alloys Compd. 274, 157 (1998).

    Google Scholar 

  6. D. A. Ikonnikov, A. V. Malakhovskii, A. L. Sukhachev, V. L. Temerov, A. S. Krylov, A. F. Bovina, and A. S. Aleksandrovsky, Opt. Mater. 37, 257 (2014).

    ADS  Google Scholar 

  7. H. Kronmüller and S. Parkin, in Handbook of Magnetism and Advanced Magnetic Materials (Wiley, New York, 2007), Vol. 1.

    Google Scholar 

  8. V. M. Goldschmidt, Naturwissensch. 14, 477 (1926).

    ADS  Google Scholar 

  9. X. Liu, R. Hong, and C. Tian, J. Mater. Sci.: Mater. Electron. 20, 323 (2009).

    Google Scholar 

  10. Z. Song, D. Zhou, and Q. Liu, Acta Crystallogr., C 75, 1353 (2019).

    Google Scholar 

  11. R. Mouta, R. X. Silva, and C. W. A. Paschoal, Acta Crystallogr., B 69, 439 (2013).

    Google Scholar 

  12. N. O. Azarapin, A. S. Aleksandrovsky, V. V. Atuchin, T. A. Gavrilova, A. S. Krylov, M. S. Molokeev, Sh. Mukherjee, A. S. Oreshonkov, and O. V. Andreev, J. Alloys Compd. 832, 153134 (2020).

    Google Scholar 

  13. A. S. Oreshonkov, E. M. Roginskii, N. P. Shestakov, I. A. Gudim, V. L. Temerov, I. V. Nemtsev, M. S. Mo-lokeev, S. V. Adichtchev, A. M. Pugachev, and Y. G. Denisenko, Materials 13, 545 (2020).

    ADS  Google Scholar 

  14. E. V. Eremin, M. S. Pavlovskiy, I. A. Gudim, V. Temerov, M. Molokeev, N. D. Andryushin, and E. V. Bogdanov, J. Alloys Compd. 828, 154355 (2020).

    Google Scholar 

  15. Y. Hinatsu, Y. Doi, K. Ito, M. Wakeshima, and A. Alemi, J. Solid State Chem. 172, 438 (2003).

    ADS  Google Scholar 

  16. E. Moshkina, S. Krylova. I Gudim, M. Molokeev, V. Temerov, M. Pavlovskiy, A. Vtyurin, and A. Krylov, Cryst. Growth Des. 20, 1058 (2020).

    Google Scholar 

  17. M. S. Pavlovskii and N. D. Andryushin, Phys. Solid State 61, 2049 (2019).

    ADS  Google Scholar 

  18. S. A. Klimin, A. B. Kuzmenko, M. A. Kashchenko, and M. N. Popova, Phys. Rev. B 93, 054304 (2016).

    ADS  Google Scholar 

  19. H. T. Stokes, D. M. Hatch, B. J. Campbell, and D. E. Tanner, J. Appl. Crystallogr. 39, 607 (2006).

    Google Scholar 

  20. R. D. Shannon, Acta Crystallogr., A 32, 751 (1976).

    ADS  Google Scholar 

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Correspondence to M. S. Molokeev.

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Translated by E. Bondareva

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Molokeev, M.S., Kuznetsov, S.O. Tolerance Factor for Huntite-Family Compounds. Phys. Solid State 62, 2058–2062 (2020). https://doi.org/10.1134/S1063783420110190

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  • DOI: https://doi.org/10.1134/S1063783420110190

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