Научная статья на тему 'Growth and physical properties of CaSrBaF6 single crystals'

Growth and physical properties of CaSrBaF6 single crystals Текст научной статьи по специальности «Физика»

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Calcium fluoride / Strontium fluoride / Barium fluoride / Fluorite / Solid solution / Isomorphism / High entropy alloys

Аннотация научной статьи по физике, автор научной работы — Sergey N. Ushakov, Maria A. Uslamina, Aleksandr A. Pynenkov, Vladimir P. Mishkin, Konstantin N. Nishchev

Using the Bridgman-Stockbarger method, crystals of triple fluoride CaF2-SrF2-BaF2 were grown in a composition range similar to that of CaSrBaF6. The crystals were 10-12 mm in diameter and 50–60 mm in length. The CaSrBaF6 crystal is a new optical material which is transparent in the mid-IR, visible and UV ranges. The uneven distribution of the components along the length of the crystal did not exceed 10 %. The edge of the absorption band in the IR range was 14.3 μm, and the optical absorption at the wavelength of 200 nm did not exceed 18 % (less than 0.2 cm–1). The refraction indices were 1.4527, 1.4488, and 1.4458 for the wavelengths of 633, 969, and 1539 nm respectively. The crystal melts in the temperature range of 1150–1210 °С. The CaSrBaF6 composition is an appropriate matrix for doping with rare-earth ions in order to obtain functional single-crystal and ceramic materials of the visible and IR ranges.

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Текст научной работы на тему «Growth and physical properties of CaSrBaF6 single crystals»

Condensed Matter and Interphases. 2021;23(1): 101-107

ISSN 1606-867Х (Print) ISSN 2687-0711 (Onine)

Condensed Matter and Interphases

Kondensirovannye Sredy i Mezhfaznye Granitsy https://journals.vsu.ru/kcmf/

Original articles

Original article

https://doi.org/10.17308/kcmf.2021.23/3310

Growth and physical properties of CaSrBaF6 single crystals

S. N. Ushakov12, M. A. Uslamina1, A. A. Pynenkov1, V. P. Mishkin1, K. N. Nishchev1, S. V. Kuznetsov2, E. V. Chernova2, P. P. Fedorov2H

1Ogarev Mordovia State University,

68 Bolshevistskaya str., Saransk 430005, Republic of Mordovia, Russian Federation

2Prokhorov General Physics Institute of the Russian Academy of Sciences, 38 Vavilov str., Moscow 119991, Russian Federation

Abstract

Using the Bridgman-Stockbarger method, crystals of triple fluoride CaF2-SrF2-BaF2 were grown in a composition range similar to that of CaSrBaF6. The crystals were 10-12 mm in diameter and 50-60 mm in length. The CaSrBaF6 crystal is a new optical material which is transparent in the mid-IR, visible and UV ranges. The uneven distribution of the components along the length of the crystal did not exceed 10 %. The edge of the absorption band in the IR range was 14.3 pm, and the optical absorption at the wavelength of 200 nm did not exceed 18 % (less than 0.2 cm-1). The refraction indices were 1.4527, 1.4488, and 1.4458 for the wavelengths of 633, 969, and 1539 nm respectively. The crystal melts in the temperature range of 1150-1210 °С. The CaSrBaF6 composition is an appropriate matrix for doping with rare-earth ions in order to obtain functional single-crystal and ceramic materials of the visible and IR ranges.

Keywords: Calcium fluoride, Strontium fluoride, Barium fluoride, Fluorite, Solid solution, Isomorphism, High entropy alloys

Acknowledgements: the study was performed using the equipment provided by the Centre for Collective Use "Materialovedeniye" of Ogarev Mordovia State University.

For citation: Ushakov S. N., Uslamina M. A., Pynenkov A. A., Mishkin V. P., Nishchev K. N., Kuznetsov S. V., Chernova E. V., Fedorov P. P. Growth and physical properties of CaSrBaF6 single crystals. Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases. 2021;23(1): 101-107. https://doi.org/10.17308/kcmf.2021.23/3310 Для цитирования: Ушаков С. Н., Усламина М. А., Пыненков А. А., Мишкин В. П., Нищев К. Н., Кузнецов С. В., Чернова Е. В., Федоров П. П. Выращивание и физические свойства монокристаллов CaSrBaF6. Конденсированные среды и межфазные границы. 2021;23(1): 101-107. https://doi.org/10.17308/kcmf.2021.23/3310

И Pavel P. Fedorov, e-mail: ppfedorov@yandex.ru

© Ushakov S. N., Uslamina M. A., Pynenkov A. A., Mishkin V. P., Nishchev K. N., Kuznetsov S. V., Chernova E. V., Fedorov P. P., 2021

The content is available under Creative Commons Attribution 4.0 License.

S. N. Ushakov et al.

Original articles

1. Introduction

Calcium, strontium, and barium fluorides crystallise in the fluorite structure with the following parameters of the crystal lattice: 5.463, 5.800, and 6.200 A respectively. Single crystals of difluorides of alkaline earth elements are widely used as photonics materials [1-3] as well as matrices for doping with rare-earth ions [410]. They are characterised by wide transmission regions from vacuum ultraviolet to the mid-IR range. However, the use of pure fluorides can be limited when designing optical systems [11]. The use of solid solutions allows varying the physical properties and characteristics of matrices over a wide range. Continuous areas of solid solutions with the valleys on the melting curves are formed in the CaF2-SrF2 [12, 13] and SrF2-BaF2 systems [14, 15]. We grew and studied the corresponding series of single crystals Ca1-xSrxF2 and Sr1-xBaxF2 [16-22]. Isomorphism in the CaF2-BaF2 system is limited [18, 23, 24]. The corresponding binary solid solutions are of interest as optical materials for photonics. When isovalent solid solutions are formed, physical properties of the crystals significantly change (compared to the components), including the refractive index [1618, 20], vibration spectra [25], and hardness [17, 20]. On the whole, mechanical characteristics of solid solutions improve, thermal conductivity decreases, and electrical conductivity increases. Spectral-luminescent characteristics and cluster structure of doping REE change in a nonmonotonic way.

In recent years, multicomponent phases with several isostructural elements in their composition have been attracting greater interest. Such compositions containing 5 and more components were called high-entropy alloys (HEAs) [30, 31]. According to the third law of thermodynamics, these single-phase alloys cannot be stable at low temperatures, although only slow processes of atomic diffusion and phase relaxation in some cases help to reveal their kinetic stability and potential applications. Homogeneous materials with multicomponent compositions are usually found in glass [32]. Initially, this term had been used for metal alloys, but then HEA oxides were also found [33]. The synthesis of high-entropy fluoride ceramics CeNdCaSrBaF12 was reported [34].

The purpose of this work was to grow single crystals of the triple-component solid solution Ca, Sr Ba F„ similar to the CaSrBaF

1-x-y x y 2 6

composition and to study its properties. The corresponding composition can serve as a matrix for doping with rare-earth ions and obtaining a multicomponent functional material.

2. Experimental

We used shards of CaF2 (OST 3-6304-87) and BaF2 optical single crystals together with the remelted SrF2 powder (extra-pure grade) as the starting substances to grow CaF2-SrF2-BaF2 crystals. It is preferable to choose crystal reagents along with powder that was remelted under fluorinating atmosphere, as the reagents do not absorb moisture and can be stored for a long time. Each initial reagent was controlled by differential scanning calorimetry (DSC), X-ray diffraction analysis (XRD), and electron microscopy.

We grew the crystals of triple fluoride CaF2-SrF2-BaF2 in the composition range similar to CaSrBaF6 on an automated system NIKA-3 under conditions of induction heating of a six-cell graphite crucible placed inside the inductor. The temperature gradient was formed using graphite pipes and disks as screens that had radial sawcuts to exclude the heating with the induction current, which allowed obtaining the temperature gradient (according to the temperature of crucible wall) of about 30 °C/cm. The temperature was measured through the chamber windows using a manual IR pyrometer. As soon as the crucible was filled with the mixture, pumping was performed to the residual pressure of no more than 5-10-2 mbar. The CF4 gas that partially filled the chamber was used as a fluorinating agent. After that, it was smoothly heated (for 1.5-2 hours), and when the operational temperature was reached, the crucible was removed from the hot area to the cold area at 6 mm/hour. When the removal process was finished, the crucible was slowly cooled for 4-6 hours.

We performed a thermal analysis of the crystals on a Netzsch DSC 404 F1 differential scanning calorimeter. The measurements were made in platinum crucibles in a flowing argon atmosphere. Ground fragments of the seed boule cone were used as samples. We performed thermal analysis of all the crystals in the range of

S. N. Ushakov et al.

Original articles

temperatures of 20-1400 °C in the mode of two heating-cooling cycles.

The refractive index of the samples of the crystals was measured on a Metricon 2010 refrac-tometer. The measurement method was based on the determination of the critical angle of incidence at which light starts going into the volume of the sample through the surface of the measuring prism (similar to an Abbe refractometer). This device allows performing measurements at three wavelengths: 633, 969, and 1539 nm. The measurements were performed on the crystal samples with the polished side surface in the region of 5-10 mm from the seed boule cone.

Spectrophotometers Shimadzu UV-2600 and Infralyum FT 02 were used to register optical transmission in the UV, visible, and IR ranges of the optical spectrum. The measurements were taken using a dual-beam method in the UV and visible range and using a single-beam method in the IR range. The measurements were performed on the samples with two polished side surface in the region of 5-10 mm from the seed boule cone.

The elemental composition of the crystals was studied on a Quanta 200i 3D FEI scanning electron microscope with the system of energy dispersive X-ray microanalysis which included an Apollo X energy dispersive silicon detector with a resolution of > 131 eV for an MnK line at 100000 imp/s. The peak-to-background ratio was no less than 10000/1. The concentration of the components of the crystals was measured in three regions along the crystal's length at the distances of 1 mm, 20 mm, and 40 mm from the seed boule cone. Three measurements were taken at different points of each region, and then the results were averaged.

3. Results and discussion

We grew a series of crystals that were 1012 mm in diameter and 50-60 mm in length (Fig. 1). The crystals were optically transparent (Fig. 2). The uneven distribution of the components of the crystal along the length of the boule did not exceed 10 % for most of the crystals. The most uniform distribution was observed on the crystal of the CaSrBaF6 composition (33 mol % CaF2 -33 mol % SrF2 -33 mol % BaF2), Fig. 3.

The DSC curves for the sample of the crystal of the CaSrBaF6 composition for the first heating-

cooling cycle are presented in Fig. 4. The sample melts in the range of temperatures of 1150— 1210 °C.

The results of the measurement of the refractive index are presented in Table 1. The maximum values of the refractive index are typical for the sample 31 mol % CaF2 - 31 mol %

Fig. 1. Photo of untreated boules of triple fluoride CaF2-SrF2-BaF2 crystals in the composition range similar to CaSrBaF,

Fig. 2. Photo of a polished triple fluoride CaSrBaF6 crystal

35

34

CD

О

33

32

-1—

10

—I-

20

t mm

-I—

30

-1

40

Fig. 3. Distribution of the components of a CaSrBaF6 crystal along the length of the boule for the 33 mol % 33 mol % BaF2 composition

CaF2 - 33 mol % SrF2

S. N. Ushakov et al.

Original articles

Table 1. Values of the refractive index n at three wavelengths for crystals of triple fluorides in the composition range similar to CaSrBaF6

Compositions l = 633 nm l = 969 nm l = 1539 nm

33 mol % CaF2 - 33 mol % SrF2 - 33 mol % BaF2 1.4527 1.4488 1.4458

40.5 mol % CaF2 - 33.6 mol % SrF2 - 25.9 mol 9% BaF2 1.4497 1.4458 1.4430

38 mol % CaF2 - 31 mol % SrF2 - 31 mol % BaF2 1.4522 1.4483 1.4451

31 mol % CaF,, - 38 mol % SrF., - 31 mol % BaF2 1.4520 1.4472 1.4448

31 mol % CaF2 - 31 mol % SrF2 - 38 mol % BaF2 1.4566 1.4526 1.4491

35 mol % CaF2 - 33 mol % S^ - 32 mol % BaF2 1.4527 1.4486 1.4451

-0.2-

-0.4-

rt <0

-0.6-

-0.8-

800

—I—

900

1000 1100 T, °c

1200

1300

Fig. 4. Sections of the DSC curves of a crystal sample of the 33 mol % CaF2 - 33 mol % SrF2 - 33 mol % BaF2 composition, first cycle: 1 - heating, 2 - cooling

Fig. 5. Transmission spectrum of a crystal sample of the 33 mol % CaF2 - 33 mol % SrF2 - 33 mol % BaF2 composition in the UV and visible range. The thickness of the sample is 10 mm

SrF2 - 38 mol % BaF2 while the minimum values are typical for the composition 40.5 mol % CaF2 -33.6 mol % SrF2 - 25.9 mol % BaF2.

The transmission spectra for the crystal of the CaSrBaF6 composition in the region of UV and IR absorption edges are presented in Fig. 5 and Fig. 6 respectively. The measured sample was 10 mm thick. The spectra are presented taking into account the Fresnel reflection from the surfaces of the sample. The edge of the UV absorption was beyond the operating area of the spectrophotometer, and the absorption at the wavelength of 200 nm did not exceed 18 % (less than 0.2 cm-1).

The border region of the IR absorption for the transmission degree of 0.1 begins from 700 cm-1 (14.3 pm). 50 % transmission occurred at 12.5 pm.

Therefore, the crystal of the CaSrBaF6 composition is a new optical material which is transparent in the mid-IR, visible, and UV ranges. A big difference between the temperatures of liquidus and solidus exceeding 50 °C is indicative

1.0-

0.8-

0.6-

Ë 0,4л С it!

H 0.2-

0,0-"

500

1000

Wave number, cnr'

1500

Fig. 6. Transmission spectrum of a crystal sample of the 33 mol % CaF2 - 33 mol % SrF2 - 33 mol % BaF2 composition in the IR range. The thickness of the sample is 10 mm

of the incongruent nature of the melting of this composition. Consequently, the growth from the melt of CaSrBaF6 crystals of high optical quality which are suitable for laser applications can hardly be implemented due to the problems

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S. N. Ushakov et al. Original articles

with concentration overcooling, instability of the crystallisation front, and the formation of a cellular and dendritic substructure [35, 36]. However, this composition can be a suitable crystal matrix for obtaining upconversion luminophores [37] and can be used in the production technology for optical ceramics [38].

Conflict of interests

The authors declare that they have no known competing financial interests or personal relationships that could have influenced the work reported in this paper.

References

1. Yushkin N. P., Volkova N. V., Markova G. A. Opticheskii flyuorit [Optical fluorite]. Moscow: Nauka Publ.; 1983. 134 p. (In Russ.)

2. Zverev V. A., Krivopustova E. V., Tochilina T. V. Opticheskie materialy. Chast' 2. Uchebnoe posobie dlya konstruktorov opticheskikh sistem i priborov [Optical materials. Part 2. Tutorial for designers of optical systems and devices]. S.-Peterburg: ITMO Publ.; 2013. 248 p. (In Russ.)

3. Fedorov P. P., Osiko V. V. Crystal growth of fluorides. In: Bulk Crystal Growth of Electronic. Optical and Optoelectronic Materials. P. Capper (ed.). Wiley Series in Materials for Electronic and Optoelectronic Applications. John Wiley & Son. Ltd.; 2005. pp. 339356. https://doi.org/10.1002/9780470012086.ch11

4. Kaminskii A.A. Laser crystals. Their physics and properties. In: Springer Series in Optical Sciences. Berlin: Springer; 1990. https://doi.org/10.1007/978-3-540-70749-3

5. Siebold M., Bock S., Schramm U., Xu B., Doua-lan J. L., Camy P., Moncorge R. Yb:CaF2 - a new old laser crystal. Applied Physics B. 2009;97: 327-338. https:// doi.org/10.1007/s00340-009-3701-y

6. Druon F., Ricaud S., Papadopulos D. N., Pelleg-rina A., Camy P., Doualan J. L., Moncorge R., Courjaud A., Mottay E., Georges P. On Yb:CaF2 and Yb:SrF2: review of spectroscopic and thermal properties and their impact on femtosecond and high power laser performance. Optical Materials Express. 2011;1(3): 489-502. https://doi.org/10.1364/ome.1.000489

7. Basiev T. T., Orlovskii Yu. V., Polyachen-kova M. V., Fedorov P. P., Kuznetsov S. V., Konyush-kin V. A., Osiko V. V., Alimov O. K., Dergachev A. Yu. Continuously tunable cw lasing near 2.75 pm in diode-pumped Er3+:SrF2 and Er3+:CaF2 crystals. Quantum Electronics. 2006;36(7): 591-594. https://doi. org/10.1070/qe2006v036n07abeh013178

8. Alimov O. K., Basiev T. T., Doroshenko M. E., Fedorov P. P., Konyuskin V. A., Nakladov A. N., Osiko V. V. Investigation of Nd3+ ions spectroscopic

and laser properties in SrF2 fluoride single crystal. Optical Materials. 2012;34(5): 799-802. https://doi. org/10.1016/j.optmat.2011.11.010

9. Brites C. D. S., Kuznetsov S. V., Konyushkin V. A., Nakladov A. N., Fedorov P. P., Carlos L. D. Simultaneous measurement of the emission quantum yield and local temperature: the illustrative example of SrF2:Yb3+/Er3+ single crystals. European Journal of Inorganic Chemistry. 2020;2020(17): 1555-1561. https://doi.org/10.1002/ ejic.202000113

10. Saleta Reiga D., Grauel B., Konyushkin V. A., Nakladov A. N., Fedorov P. P., Busko D., Howard I. A., Richards B. S., Resch-Genger U., Kuznetsov S. V., Turshatov A., Wurtha C. Upconversion properties of SrF2:Yb3+, Er3+ single crystals. Journal of Materials Chemistry C. 2020;8(12): 4093-4101. https://doi. org/10.1039/c9tc06591a

11. Barnett J., Levine Z., Shirley E. Intrinsic birefringence in calcium fluoride and barium fluoride. Physical Review B. 2001;64(24): 241102. https://doi. org/10.1103/physrevb.64.241102

12. Klimm D., Rabe M., Bertram R., Uecker R., Parthier L. Phase diagram analysis and crystal growth of solid solutions Caj xSrxF2. Journal of Crystal Growth. 2008;310(1): 152-155.x https://doi.org/10.10Wj. jcrysgro.2007.09.031

13. Stasjuk V. A., Buchinskaya I. I., Ust'yanceva N. A., Fedorov P. P., Arbenina V. V. Liquidus and solidus of fluorite solid solutions in the CaF2-SrF2-LaF3 system. Russian Journal of Inorganic Chemistry. 1998;43(8): 1266-1269. Available at: https://www.elibrary.ru/item. asp?id=13300529 (In Russ.)

14. Nafziger R. H. High-temperature phase relations in the system BaF2-SrF2. Journal of the American Ceramic Society. 1971;54(9): 467. https://doi. org/10.1111/j.1151-2916.1971.tb12388.x

15. Fedorov P. P., Ivanovskaya N. A., Stasyuk V. A, Buchinskaya I. I., Sobolev B. P. Phase equilibria in the SrF2 -BaF2-LaF3 system. Doklady Physical Chemistry. 1999;366(4-6): 168-170. (In Russ.)

16. Chernevskaya E. G. Smeshannye dvukh-komponentnye monokristally tipa ftoristyi kal'tsii-ftoristyi strontsii i ikh opticheskie svoistva [Mixed two-component monocrystals of the calcium fluoridestrontium fluoride type and their optical properties]. Optiko-mekhanicheskaya promyshlennost'. 1960;5: 28-32. (In Russ.)

17. Chernevskaya E. G. Tverdost' smeshannykh monokristallov tipa CaF2. [The hardness of mixed single crystals ofthe CaF2 type]. Optiko-mekhanicheskaya promyshlennost'. 1966;7: 51-52. (In Russ.)

18. Chernevskaya E. G., Anan'eva G. V. O strukture smeshannykh kristallov na osnove CaF2, SrF2, BaF2 [About the structure of mixed crystals based on CaF2, SrF2, BaF2]. Physics of the Solid State. 1966;8(1): 216219. (In Russ.)

S. N. Ushakov et al. Original articles

19. Pastor R. C., Pastor A. C. Solid solutions of metal halides under a reactive atmosphere. Materials Research Bulletin. 1976;11(8): 1043-1050. https://doi. org/10.1016/0025-5408(76)90183-5

20. Karimov D. N., Komar'kova O. N., Sorokin N. I., Sobolev B. P., Bezhanov V. A., Chernov S. P., Popov P. A. Growth of congruently melting Ca0 59Sr0 41F2 crystals and study of their properties. Crystallography Reports. 2010;55(3): 518-524. https://doi.org/10.1134/ s1063774510030247

21. Popov P. A., Moiseev N. V., Karimov D. N., Sorokin N. I., Sulyanova E. A., Sobolev B. P., Konyush-kin V. A., Fedorov P. P. Thermophysical characteristics of Ca1-xSrxF2 solid-solution crystals (0 ^ x ^ 1). Crystallography Reports. 2015;60(1): 116-122. https:// doi.org/10.1134/s1063774515010186

22. Popov P. A., Krugovykh A. A., Konuyshkin V. A., Nakladov A. N., Kuznetsov S. V., Fedorov P. P. Thermal conductivity of single crystals of SrF2 - BaF2 solid solution. Inorganic Materials. 2021;57(6): https://10.31857/S0002337X21060087

23. Fedorov P. P., Buchinskaya I. I., Ivanovskaya N. A., Konovalova V. V., Lavrishchev S. V., Sobolev B. P. CaF2-BaF2 phase diagram. DokladyPhysical Chemistry. 2005;401(2): 53-55. https://doi.org/10.1007/s10634-005-0024-5

24. Wrubel G. P., Hubbard B. E., Agladge N. I., Sievers A. G., Fedorov P. P., Klimenchenko D. I., Ryskin A. I., Campbell G. A. Glasslike two-level systems in minimally disordered mixed crystals. Physical Review Letters. 2006;96(23): 235503. https://doi.org/10.1103/ physrevlett.96.235503

25. Chang R. K., Lacina B., Pershan P. S. Raman scattering from mixed crystals CaxSr1-xF2 and SrxBa1-xF2. Physical Review Letters. 1966;17(14): 755-778. https:// doi.org/10.1103/physrevlett.17.755

26. Basiev T. T., Vasil'ev S. V., Doroshenko M. E., Konuyshkin V. A., Kouznetsov S. V., Osiko V. V., Fedorov P. P. Efficient lasing in diode-pumping Yb3+:CaF2-SrF2 solid solution single crystals. Quantum Electronics. 2007;37(10): 934-937. https://doi. org/10.1070/QE2007v037n10ABEH013662

27. Lyapin A. A., Ermakov A. S., Kuznetsov S. V., Gushchin S. V., Ryabochkina P. A., Konyushkin V. A., Nakladov A. N., Fedorov P. P. Upconversion luminescence of CaF2-SrF2-ErF3 single crystals upon 1.5 pm laser excitation. Journal of Physics: Conference Series (SPbOPEN 2019). 2019;1410: 012086 (4 pp). https://doi.org/10.1088/1742-6596/1410/y012086

28. Kuznetsov S. V., Konyushkin V. A., Nakladov A. N., Chernova E. V., Popov P. A., Pynenkov A. A., Nishchev K. N., Fedorov P. P. Thermophysical Properties of Single Crystals of CaF2-SrF2-RF3(R = Ho, Pr) Fluorite Solid Solutions. Inorganic Materials. 2020;56(9):975-981. https://10.1134/ S0020168520090113

29. Ushakov S. N., Fedorov P. P., Kuznetsov S. V., Osiko V. V., Uslamina M. A., Nishchev K. N. Study of Yb3+ optical centers in fluoride solid solution crystals CaF2-SrF2-YbF3 Optics and Spectroscopy. 2020;128(5): 600-604. https://doi.org/10.1134/S0030400X20050185

30. Zhang W., Liaw P. K., Zhang Y. Science and technology in high-entropy alloys. Science China Materials. 2018;61(1): 2-21. https://doi.org/10.1007/ s40843-017-9195-8

31. Miracle D. B., Senkov O. N. A critical review of high entropy alloys and related concepts. Acta Materialia. 2017;122: 448-511. https://doi. org/10.1016/j.actamat.2016.08.081

32. Fedorov P. P. Glass formation criteria for fluoride system. Inorganic Materials. 1997;33(12): 1197-1205. Available at: https://www.elibrary.ru/item. asp?id=13251524.

33. Rost C. M., Sachet E., Borman T., Moballegh A., Dickey E. C., Hou D., Jones J.L., Curtarolo S., Maria J.-P. Entropy-stabilized oxides. Nature Communications. 2016:6(1): 8485. https://doi.org/10.1038/ncomms9485

34. Chen X., Wu Y. High-entropy transparent fluoride laser ceramics. Journal of the American Ceramic Society. 2019;103(2): 750-756. https://doi.org/10.1111/ jace.16842

35. Kuznetsov S. V., Fedorov P. P. Morphological stability of solid-liquid interface during melt crystallization of solid solutions M1-xRxF2+x. Inorganic Materials. 2008;44(13): 1434-1458". (Supplement). https://doi.org/10.1134/S0020168508130037

36. Fedorov P. P., Buchinskaya I. I. Spatial inhomogeneity in crystalline materials and saddle-type congruent melting points in ternary system. Russian Chemical Reviews. 2012;81(1): 1-20. https:// doi.org/10.1070/RC2012v081n01ABEH004207

37. Alexandrov A. A., Mayakova M. N., Voronov V. V., Pominova D. V., Kuznetsov S. V., Baranchikov A. E., Ivanov V. K., Fedorov P. P. Synthesis upconversion luminophores based on calcium fluoride. Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases. 2020;22(1): 3-10. https://doi.org/10.17308/kcmf.2020.22/2524

38. Kuznetsov S. V., Aleksandrov A. A., Fedorov P. P. Fluoride optical nanoceramics. Inorganic Materials. 2021;57(6). https://10.31857/S0002337X21060075

Information about the authors

Sergey N. Ushakov, PhD in Physics and Mathematics, Senior Researcher, Department of Nanotechnologies at the Research Centre for Laser Materials and Technologies, Prokhorov General Physics Institute of the Russian Academy of Science, Moscow; Senior Researcher, Laboratory of Optical Materials Technology, Institute of Physics and Chemistry, Ogarev Mordovia State University, Saransk, Republic of Mordovia, Russian Federation; e-mail: ushserg63@

S. N. Ushakov et al. Original articles

mail.ru. ORCID iD: http://orcid.org/0000-0002-6420-6791.

Maria A. Uslamina, PhD in Chemistry, Department of Nanotechnologies at the Research Centre for Laser Materials and Technologies, Prokhorov General Physics Institute of the Russian Academy of Science, Moscow; Senior Researcher, Laboratory of Optical Materials Technology, Institute of Physics and Chemistry, Ogarev Mordovia State University, Saransk, Republic of Mordovia, Russian Federation; e-mail: uslaminam@mail.ru. ORCID iD: https://orcid. org/0000-0003-0219-2643.

Aleksandr A. Pynenkov, Engineer of Scientific and Educational Centre "High-purity Materials and Elements of Fibre Optics and Laser Technology", Institute of Physics and Chemistry, Ogarev Mordovia State University, Saransk, Republic of Mordovia, Russian Federation; e-mail: alekspyn@yandex.ru. ORCID iD: http://orcid.org/0000-0001-7546-7172.

Vladimir P. Mishkin, Leading Engineer of the Laboratories of Electron Microscopy and Small-Angle X-ray Diffractometry of the Institute of Physics and Chemistry, Ogarev Mordovia State University, Saransk, Republic of Mordovia, Russian Federation; e-mail: Vladimirm1978@mail.ru. ORCID iD: https://orcid. org/0000-0001-7514-1906.

Konstantin N. Nishchev, PhD in Physics and Mathematics, Associate Professor, Head of the

Department of General Physics, Institute of Physics and Chemistry, Ogarev Mordovia State University, Saransk, Republic of Mordovia, Russian Federation; e-mail: nishchev@inbox.ru. ORCID iD: 0000-0001-7905-3700https://orcid.org/.

Sergey V. Kuznetsov, PhD in Chemistry, Leading Researcher of the Laboratory of Technology of Nanomaterials for Photonics, Department of Nanotechnologies at the Research Centre for Laser Materials and Technologies, Prokhorov General Physics Institute of the Russian Academy of Science, Moscow, Russian Federation; e-mail: kouznetzovsv@ gmail.com. ORCID iD: https://orcid.org/0000-0002-7669-1106.

Elena V. Chernova, Researcher of the Prokhorov General Physics Institute of the Russian Academy of Science, Moscow, Russian Federation; e-mail e-chernova@yandex.ru. ORCID iD: https://orcid. org/0000-0001-7401-5019.

Pavel P. Fedorov, DSc in Chemistry, Full Professor, Chief Researcher, Department of Nanotechnologies at the Research Centre for Laser Materials and Technologies, Prokhorov General Physics Institute of the Russian Academy of Science Moscow, Russian Federation; e-mail: ppfedorov@yandex.ru. ORCID iD: https://orcid.org/0000-0002-2918-3926.

All authors have read and approved the final manuscript.

Received 22 January2021; Approved after reviewing 15 February 2021; Accepted 15 March 2021; Published online 25 March 2021

Translated by Marina Strepetova

Edited and proofread by Simon Cox

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