Skip to main content
SpringerLink
Log in

Phase Tree of the Quinary Reciprocal System Li+,K+||F–,Cl–,Br–,\({\text{CrO}}_{4}^{{2 - }}\) and Investigation of the LiF–Li2CrO4–KCl–KBr Stable Tetrahedron

  • Published:
Inorganic Materials Aims and scope

Abstract—

The quinary reciprocal system Li+,K+||F–,Cl–,Br–,\({\text{CrO}}_{4}^{{2 - }}\) has been divided into simplexes using graph theory: by making up an adjacency matrix and solving a logical expression. The results have been used to construct the phase tree of the system, which has a linear structure and consists of four stable secant tetrahedra, four stable pentatopes, and one stable hexatope. The number and composition of phases crystallizing in the system have been predicted. The LiF–KCl–KBr–Li2CrO4 stable tetrahedron has been studied using differential thermal analysis and X-ray diffraction. The tetrahedron has no invariant equilibrium points. The continuous series of solid solutions between potassium chloride and potassium bromide has been shown to be stable, without decomposition. Three solid phases have been shown to crystallize in the tetrahedron: LiF, Li2CrO4, and KClxBr1–x.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.

REFERENCES

  1. Nipan, G.D. and Kornilov, D.Yu., Phase equilibria in the Li2O–Al2O3–Ni–Co–O system, Inorg. Mater., 2020, vol. 56, no. 8, pp. 809–814. https://doi.org/10.1134/S0020168520070110

    Article  CAS  Google Scholar 

  2. Gamataeva, B.Yu., Kurbanova, S.N., Gasanaliev, A.M., et al., Phase equilibria in the LiCl–LiVO3–V2O5 system, Inorg. Mater., 2020, vol. 56, no. 2, pp. 136–141. https://doi.org/10.1134/S0020168520020053

    Article  CAS  Google Scholar 

  3. Bushuev, N.N., Egorova, A.N., and Tyul’bendzhyan, G.S., KLa(SO4)2–CaSO4 system, Inorg. Mater., 2021, vol. 57, no. 2, pp. 142–145. https://doi.org/10.1134/S0020168521020047

    Article  CAS  Google Scholar 

  4. Nipan, G.D., Phase equilibria in the Cd–Ga–As–Te system, Inorg. Mater., 2021, vol 57, no. 12, pp. 1209-1214. https://doi.org/10.1134/S0020168521120128

    Article  ADS  CAS  Google Scholar 

  5. Ogarkov, A.I., Voskov, A.L., Kovalev, I.A., et al., Thermodynamic modeling of phase equilibria in the U–Zr–N system, Inorg. Mater., 2021, vol. 57, no. 8, pp. 790–797. https://doi.org/10.1134/S0020168521080070

    Article  CAS  Google Scholar 

  6. Nipan, G.D., Isobaric–isothermal polyhedra of solid solutions in the Li–Ni–Mn–Co–O system, Inorg. Mater., 2021, vol. 57, no. 5, pp. 518–523. https://doi.org/10.1134/S0020168521050058

    Article  ADS  CAS  Google Scholar 

  7. Cherkasov, D.G., Danilina, V.V., and Il’in, K.K., Phase equilibria, critical phenomena, and extractive crystallization of the salt in the sodium chloride–water–diisopropylamine ternary system, Russ. J. Inorg. Chem., 2021, vol. 66, no. 6, pp. 883–890. https://doi.org/10.1134/S0036023621060073

    Article  CAS  Google Scholar 

  8. Gubanova, T.V., Kravets, N.S., and Garkushin, I.K., NaCl–NaVO3–Na2EO4 (E = Mo or W) three-component systems, Russ. J. Inorg. Chem., 2023, vol. 68, no. 4, pp. 439–446. https://doi.org/10.1134/S0036023623600156

    Article  CAS  Google Scholar 

  9. Elokhov, A.M., Kudryashova, O.S., Lukmanova, L.M., et al., Phase equilibria in alkaline-earth metal nitrate or chloride–sodium formate–water systems, Russ. J. Inorg. Chem., 2022, vol. 67, no. 12, pp. 2023–2029. https://doi.org/10.1134/S003602362260099X

    Article  CAS  Google Scholar 

  10. Frolova, E.A., Kondakov, D.F., and Danilov, V.P., Phase equilibria in sections of the potassium acetate–ethylene glycol–water system at temperatures from 0 to –66°C, Russ. J. Inorg. Chem., 2022, vol. 67, no. 8, pp. 1298–1300. https://doi.org/10.1134/S0036023622080113

    Article  CAS  Google Scholar 

  11. Syrova, V.I., Garkushin, I.K., Frolov, E.I., and Finogenov, A.A., Liquidus topology of NaBr–Na2SO4–Na2CO3 and KBr–K2CO3–K2SO4 systems, Russ. J. Phys. Chem. A, 2020, vol. 94, no. 6, pp. 1125–1129 https://doi.org/10.1134/S0036024420060278

    Article  CAS  Google Scholar 

  12. Demina, M.A., Egorova, E.M., Garkushin, I.K., Burchakov, A.V., and Ignat’eva, E.O., Phase equilibria in the NaCl–NaBr–Na2CrO4 ternary system, Russ. J. Phys. Chem. A, 2021, vol. 95, no. 6, pp. 1277–1279. https://doi.org/10.1134/S003602442106008X

    Article  CAS  Google Scholar 

  13. Demina, M.A., Egorova, E.M., Garkushin, I.K., et al., Phase equilibria in the LiF–LiCl–Li2CrO4–KCl stable tetrahedron of the Li,K||F,Cl,CrO4 reciprocal four-component systems, Russ. J. Inorg. Chem., 2022, vol. 67, no. 10, pp. 1611–1616. https://doi.org/10.1134/S0036023622100436

    Article  CAS  Google Scholar 

  14. Demina, M.A., Garkushin, I.K., Nenasheva, A.V., et al., Phase equilibria in the stable tetrahedron LiF–LiBr–Li2CrO4–KBr of the quaternary reciprocal system Li,K||F,Br,CrO4, Russ. J. Inorg. Chem., 2016, vol. 61, no. 5, pp. 638–645. https://doi.org/10.1134/S0036023616050053

    Article  CAS  Google Scholar 

  15. Demina, M.A., Nenasheva, A.V., Chudova, A.A., Phase equilibria in the stable tetrahedron LiF–KF–KBr–Li2CrO4 of the quaternary reciprocal system Li,K||F,Br,CrO4, Russ. J. Inorg. Chem., 2016, vol. 61, no. 7, pp. 887–890. https://doi.org/10.1134/S0036023616070032

    Article  CAS  Google Scholar 

  16. Demina, M.A., Chudova, A.A., Nenasheva, A.V., et al. Joint stable tetrahedron LiF–Li2CrO4–KBr–K2CrO4 in the quaternary reciprocal system Li,K||F,Br,CrO4, Butlerovsk. Soobshch., 2014, vol. 39, no. 10, pp. 148–151.

    Google Scholar 

  17. Garkushin, I.K., Demina, M.A., Chudova, A.A., et al., LiF–KBr–Li2CrO4 and LiF–KBr–K2CrO4 stable triangles of the four-component reciprocal system comprised of fluorides, bromides, and chromates of lithium and potassium, Russ. J. Inorg. Chem., 2015, vol. 60, no. 1, pp. 105–115. https://doi.org/10.1134/S0036023615010040

    Article  CAS  Google Scholar 

  18. Chugunova, M.V., Garkushin, I.K., and Egortsev, G.E., Partition of the Li,K||F,Cl,br quaternary reciprocal system into simplexes and investigation of components of the LiF–KCl–KBr stable triangle, Russ. J. Inorg. Chem., 2011, vol. 56, no. 4, p. 633–638. https://doi.org/10.1134/S0036023611040085

    Article  CAS  Google Scholar 

  19. Voronina, E.Yu. and Demina, M.A., An experimental study of the KCl–KBr–LiKCrO4 and KCl–KBr–Li2CrO4 sections in the quaternary reciprocal system Li,K||Cl,Br,CrO4, Butlerovsk. Soobshch., 2015, vol. 42, no. 6, pp. 81–85.

    Google Scholar 

  20. Demina, M.A., Garkushin, I.K., and Bekhtereva, E.M., Phase equilibria in the quaternary systems Li||F,Cl,Br,CrO4 and Li||F,Cl,Br,WO4, Russ. J. Inorg. Chem., 2014, vol. 59, no. 11, pp. 1333–1339. https://doi.org/10.1134/S0036023614110072

    Article  CAS  Google Scholar 

  21. Garkushin, I.K., Demina, M.A., and Dvoryanova, E.M., Fiziko-khimicheskoe vzaimodeistvie v mnogokomponentnykh sistemakh iz galogenidov, khromatov, molibdatov i vol’framatov litiya i kaliya (Physicochemical Interaction in Multicomponent Systems of Lithium and Potassium Halides, Chromates, Molybdates, and Tungstates), Samara: Samarsk. Gos. Tekh. Univ., 2014.

  22. Moshchenskii, Yu.V., DSK-500 differential scanning calorimeter, Prib. Tekh. Eksp., 2003, no. 6, pp. 143–144.

  23. Kovba, L.M., Rentgenografiya v neorganicheskoi khimii (X-Ray Diffraction Analysis in Inorganic Chemistry), Moscow: Mosk. Gos. Univ., 1991.

  24. Termicheskie konstanty veshchestv (Thermal Constants of Substances), issue 10: Tablitsy prinyatykh znachenii: Li, Na (Reference Tables: Li and Na), Glushko, V.P., Ed., Moscow: VINITI, 1981.

    Google Scholar 

Download references

Funding

This work was supported by the Russian Federation Ministry of Science and Higher Education as part of the state research target for Samara State Technical University, theme no. FSSE-2023-0003.

Author information

Authors and Affiliations

  1. Samara State Technical University, 443100, Samara, Russia

    A. S. Egorova, M. A. Sukharenko, I. M. Kondratyuk & I. K. Garkushin

Authors
  1. A. S. Egorova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. A. Sukharenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. M. Kondratyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. I. K. Garkushin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. A. Sukharenko.

Ethics declarations

The authors declare that they have no conflicts of interest.

Additional information

Translated by O. Tsarev

Publisher’s Note.

Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Egorova, A.S., Sukharenko, M.A., Kondratyuk, I.M. et al. Phase Tree of the Quinary Reciprocal System Li+,K+||F–,Cl–,Br–,\({\text{CrO}}_{4}^{{2 - }}\) and Investigation of the LiF–Li2CrO4–KCl–KBr Stable Tetrahedron. Inorg Mater 59, 866–872 (2023). https://doi.org/10.1134/S0020168523080046

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0020168523080046

Keywords:

Search

Navigation