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Correlation between Refractive Index Dispersion Parameters and Cation Coordination Numbers in Fluoride Crystals

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Abstract—

Refractive index dispersion parameters of optical crystals of MFn (Mn+ = Na+, K+, Ca2+, Sr2+, Ba2+, Cd2+, Pb2+, La3+, Ce3+, Pr3+, Nd3+) binary fluorides have been shown to correlate with the cation coordination numbers in their structures. Using this correlation, I have demonstrated that, with increasing LaF3 concentration, the cation coordination number in Sr1 −xLaxF2 +x ternary fluoride crystals (fluorite structure) increases from 8 to 11.

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REFERENCES

  1. Voronkova, E.M., Grechushnikov, B.N., Distler, G.I., and Petrov, I.P., Opticheskie materialy dlya infrakrasnoi tekhniki (Optical Materials for Infrared Technology), Moscow: Nauka, 1965.

  2. Moses, A.J., Optical Materials Properties, vol. 1 of Handbook of Electronic Materials, New York: Plenum, 1971.

  3. Batsanov, S.S., Strukturnaya refraktometriya (Structural Refractometry), Moscow: Vysshaya Shkola, 1976.

    Google Scholar 

  4. Wemple, S.H. and DiDomenico, M., Behavior of the electronic dielectric covalent and ionic materials, Phys. Rev. B: Solid State, 1971, vol. 3, no. 4, pp. 1338–1351.

    Article  Google Scholar 

  5. Shannon, R.D., Shannon, R.C., Medenlach, O., and Fischer, R.X., Refractive index and dispersion of fluorides and oxides, J. Phys. Chem. Ref. Data, 2002, vol. 31, no. 4, pp. 931–970.

    Article  CAS  Google Scholar 

  6. Konstantinova, A.F., Krivandina, E.A., Karimov, D.N., and Sobolev, B.P., Calculation of the refractive indices of M 1 − x R xF2 + x crystals (M = Ca, Sr, Ba, Cd, Pb; R are rare earth elements), Crystallogr. Rep., 2010, vol. 55, no. 6, pp. 990–994.

    Article  CAS  Google Scholar 

  7. Laiho, R. and Lakkisto, M., Investigation of the refractive indices of LaF3, CeF3, PrF3 and NdF3, Philos. Mag. B., 1983, vol. 48, no. 2, pp. 203–207.

    Article  CAS  Google Scholar 

  8. Krivandina, E.A., Zhmurova, Z.I., Sobolev, B.P., Glushkova, T.M., Kiselev, D.F., Firsova, M.M., and Shtykova, A.P., Optical properties of crystals of La1 – y-SryF3 – y solid solutions (0 ≤ y ≤ 0.13) with the tysonite structure, Crystallogr. Rep., 1998, vol. 43, no. 1, pp. 85–89.

    Google Scholar 

  9. Glushkova, T.M., Karimov, D.N., Krivandina, E.A., Zhmurova, Z.I., and Sobolev, B.P., Nanostructured crystals of fluorite phases Sr1 – x R xF2 + x (R = Y, La–Lu) and their ordering: part III. A study of the refractive indices, Crystallogr. Rep., 2009, vol. 54, no. 4, pp. 603–608.

    Article  CAS  Google Scholar 

  10. Cheetham, A.K., Fender, B.E.F., Steele, D., Taylor, R.I., and Willis, B.T.M., Defect structure of fluorite compounds containing excess anions, Solid State Commun., 1970, vol. 8, no. 3, pp. 171–173.

    Article  CAS  Google Scholar 

  11. Bevan, D.J.M., Greis, O., and Strahle, J., A new structural principle in anion-excess fluorite-related superlattices, Acta Crystallogr., Sect. A: Cryst. Phys., Diffr., Theor. Gen. Crystallogr., 1980, vol. 36, no. 6, pp. 889–890.

    Article  Google Scholar 

  12. Maksimov, B.A., Muradyan, L.A., and Simonov, V.I., Nonstoichiometric fluorite phases, in Kristallografiya i kristallokhimiya (Crystallography and Crystal Chemistry), Moscow: Nauka, 1986, pp. 215–224.

  13. Golubev, A.M., Fluorite-related superstructures made up of M8R6A68–69 clusters: an analysis of known structure types and derivation of new ones, Inorg. Mater., 1994, vol. 30, no. 9, pp. 1059–1064.

    Google Scholar 

  14. Sobolev, B.P., Golubev, A.M., and Herrero, P., Fluorite M 1 − x R xF2 + x phases (M = Ca, Sr, Ba; R = rare earth elements) as nanostructured materials, Crystallogr. Rep., 2003, vol. 48, no. 1, pp. 141–161.

    Article  CAS  Google Scholar 

  15. Kazanskii, S.A., Clusters of rare-earth and yttrium ions in fluorite-structure crystals studied by optically detected ESR, in Spektroskopiya kristallov (Spectroscopy of Crystals), Leningrad: Nauka, 1989, pp. 110–126.

  16. Matsulev, A.N., Buznik, V.M., Livshits, A.I., Fedorov, P.P., and Sobolev, B.P., Structure of a Sr0.75Nd0.25F2.25 solid electrolyte studied by 19F nuclear magnetic resonance, Fiz. Tverd. Tela, 1987, vol. 29, no. 11, pp. 3247–3252.

    CAS  Google Scholar 

  17. Wapenaar, K. and Schoonman, J., Conductivity enhancement in Ba1 – xLaxF2 + x solid electrolytes, Solid State Ionics, 1981, vol. 5, pp. 637–640.

    Article  CAS  Google Scholar 

  18. Sobolev, B.P., Sorokin, N.I., and Bolotina, N.B., Nonstoichiometric single crystals M 1 – x R x F 2 + x and R 1 – y M y F 3 – y (M – Ca, Sr, Ba; R – rare earth elements) as fluorine-conducting solid electrolytes, Photonic and Electronic Properties of Fluoride Materials, Tressaud, A. and Poeppelmeier, K., Eds., Amsterdam: Elsevier, 2016, pp. 465–491.

    Google Scholar 

  19. Den Hartog, H.W. and Langevoort, J.C., Ionic thermal current of concentrated cubic solid solutions of SrF2:LaF3 and BaF2:LaF3, Phys. Rev. B: Condens Matter Mater. Phys., 1981, vol. 24, no. 6, pp. 3547–3554.

    Article  CAS  Google Scholar 

  20. Bendall, P.J., Catlow, C.R.A., Corish, J., and Jacobs, P.W.M., Defect aggregation in anion-excess fluorites. II. Clusters containing more than two impurity atoms, J. Solid State Chem., 1984, vol. 51, pp. 159–169.

    Article  CAS  Google Scholar 

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ACKNOWLEDGMENTS

This work was supported by the Ministry of Science and Higher Education within the State assignment Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences.

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  1. Shubnikov Institute of Crystallography, Crystallography and Photonics Federal Scientific Research Centre, Russian Academy of Sciences, Leninskii pr. 59, 119333, Moscow, Russia

    N. I. Sorokin

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Sorokin, N.I. Correlation between Refractive Index Dispersion Parameters and Cation Coordination Numbers in Fluoride Crystals. Inorg Mater 55, 77–80 (2019). https://doi.org/10.1134/S0020168519010163

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