Phase diagrams of three-component systems corresponding to unbounded solid solutions with a temperature extremum

AbstractThe T – P phase diagrams of the halogenomethane compounds (CCl_4 – _ n Br_ n , n = 0, 1, 2, 4) are calculated using a mean field model. By expanding the free energy in terms of the order parameters for the transitions of the liquid (L), rhombohedral (R), face-centered cubic (FCC) and monoclinic (M) phases in those compounds, the phase line equations are derived and they are fitted to the experimental data from the literature. This method of calculating the T – P phase diagram is satisfactory to explain the T – P measurements for the halogenomethane compounds and it can also be applied to two-component systems.

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Политермический разрез SnAs–P тройной системы Sn–As–P

Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases ◽

10.17308/kcmf.2019.21/766 ◽

2019 ◽

Vol 21 (2) ◽

pp. 287-295

Author(s):

Tatiana P. Sushkova ◽

Aleksandra V. Sheveljuhina ◽

Galina V. Semenova ◽

Elena Yu. Proskurina

Keyword(s):

Phase Diagrams ◽

Solid Solutions ◽

Condensed Matter ◽

High Energy ◽

Potassium Ion ◽

Dew Point ◽

Sodium Ion ◽

P System ◽

Sodium Ion Batteries ◽

Tin Phosphide

Проведено исследование фазовых равновесий в тройной системе Sn–As–P в области высокой концентрации летучих компонентов. Методами рентгенофазового и дифференциального термического анализа изучены сплавы политермического разреза SnAs–P. Показано, что растворимость фосфора в моноарсениде олова в направлении этого разреза менее 0.05 мол.д. фосфора. Построена Т-х диаграмма политермического сечения SnAs–Р. Наличие на Т-х диаграмме горизонтали при температуре 827±2 К соответствует реализации в системе Sn–As–P нонвариантного перитектического равновесия L + (d) ↔ b + g , где (d), b и g – трехкомпонентные твердые растворы на основе As1-xPx, SnAs и SnP3 соответственно REFERENCES Zhang W., Mao J., Li S., Chen Z., Guo Z. Phosphorus-Based Alloy Materials for Advanced Potassium-Ion Battery Anode // Am. Chem. Soc., 2017, v. 139(9), pp. 3316–3319. https://doi.org/10.1021/jacs.6b12185 Liu S., Zhang H., Xu L., Ma L., Chen X. Solvothermal preparation of tin phosphide as a long-life anode for advanced lithium and sodium ion batteries // of Power Sources, 2016, v. 304, pp. 346–353. https://doi.org/10.1016/j.jpowsour.2015.11.056 Zhang W., Pang W., Sencadas V., Guo Z. Understanding High-Energy-Density Sn4P3 Anodes for Potassium-Ion Batteries // Joule, 2018, v. 2(8), pp. 1534–1547. https://doi.org/10.1016/j.joule.2018.04022 Lan D., Wang W., Shi L., Huang Y., Hu L., Li Q. Phase pure Sn4P3 nanotops by solution-liquid-solid growth for anode application in sodium ion batteries // Mater. Chem. A, 2017, v. 5, pp. 5791–5796. https://doi.org/10.1039/C6TA10685D Mogensen R., Maibach J., Naylor A. J., Younesi R. Capacity fading mechanism of tin phosphide anodes in sodium-ion batteries // Dalton Trans., 2018, v. 47, pp. 10752–10758. https://doi.org/10.1039/c8dt01068d Kamali A. R., Fray D. J. Tin-based materials as advanced anode materials for lithium ion batteries: a review // Adv. Mater. Sci., 2011, v. 27, pp. 14–24. URL: http://194.226.210.10/e-journals/RAMS/no12711/kamali.pdf Kovnir K. A., Kolen’ko Y. V., Baranov A. I., Neira I. S., Sobolev A. V., Yoshimura M., Presniakov I. A., Shevelkov A. V. Sn4As3 revisited: Solvothermal synthesis and crystal and electronic structure // Journal of Solid State Chemistry, 2009, v. 182(5), pp. 630–639. https://doi.org/10.1016/j.jssc.2008.12.007 Semenova G. V., Kononova E. Yu., Sushkova T. P. Polythermal section Sn4P3 – Sn4As3 // Russian J. of Inorganic Chemistry, 2013, v. 58 (9), pp. 1242–1245. https://doi.org/10.7868/S0044457X13090201 Sushkova T. P, Semenova G. V., Naumov A. V., Proskurina E. Yu. Solid solutions in the system Sn-As-P // Bulletin of VSU. Series: Chemistry. Biology. Pharmacy, 2017, v. 3, pp. 30–36. URL: http://www. vestnik.vsu.ru/pdf/chembio/2017/03/2017-03-05.pdf Semenova G. V., Sushkova T. P, Tarasova L. A., Proskurina E. Yu. Phase equilibria in a Sn-As-P system with a tin concentration less than 50 mol. % // Condensed Matter and Interphases, 2017, v. 19(3), pp. 408–416. https://doi.org/10.17308/kcmf.2017.19/218 Semenova G. V., Sushkova T. P., Zinchenko E. N., Yakunin S. V. Solubility of phosphorus in tin monoarsenide // Condensed Matter and Interphases, 2018, v. 20(4), pp. 644-649. https://doi.org/10.17308/kcmf.2018.20/639 Semenova G. V., Goncharov E. G. Solid Solutions Involving Elements of the Fifth Group. – Мoscow, MFTI Publ., 2000, 160 p. (in Russ.) Okamoto H. Phase diagrams for binary alloys, Second Edition. Materials Park, OH.: ASM International, 2010, 810 р. URL: https://www.asminternational. org/...pdf/c36eeb4e-d6ec-4804-b319-e5b0600ea65d Shirotani , Shiba S., Takemura K., Shimomura О., Yagi Т. Pressure-induced phase transitions of phosphorus-arsenic alloys // Physica B: Condensed Matter, 1993, v. 190, pp. 169–176. https://doi.org/10.1016/0921-4526(93)90462-F Arita M., Kamo K. Measurement of vapor pressure of phosphorus over Sn-P alloys by dew point method // Jpn. Inst. Met., 1985, v. 26(4), pp. 242–250. https://doi.org/10.2320/matertrans1960.26.242 Zavrazhnov A. Yu., Semenova G. V., Proskurina E. Yu., Sushkova T. P. Phase diagram of the Sn–P system // Thermal Analysis and Calorimetry, 2018, v. 134(1), pp. 475–481. https://doi.orgh/10.1007/s10973-018-7123-0 Gokcen N. A. The As-Sn (Arsenic-Tin) system // Bulletin of alloy phase diagrams, 1990, v. 11(3), pp. 271–278. https://doi.org/10.1007/BF03029298

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Phase diagrams of ascending and minimum type in terms of concentration fluctuations in binary liquid and solid solutions

Physics and Chemistry of Liquids ◽

10.1080/00319107608084106 ◽

1976 ◽

Vol 5 (1) ◽

pp. 45-60 ◽

Cited By ~ 8

Author(s):

A. B. Bhatia ◽

N. H. March

Keyword(s):

Phase Diagrams ◽

Solid Solutions ◽

Concentration Fluctuations ◽

Binary Liquid

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Spinel solid solutions in the systems MgAl2O4–ZnAl2O4 and MgAl2O4–Mg2TiO4

Journal of Materials Research ◽

10.1557/jmr.1997.0343 ◽

1997 ◽

Vol 12 (10) ◽

pp. 2584-2588 ◽

Cited By ~ 42

Author(s):

M. A. Petrova ◽

G. A. Mikirticheva ◽

A. S. Novikova ◽

V. F. Popova

Keyword(s):

Solid Solution ◽

Phase Diagrams ◽

Melting Temperature ◽

Solid Solutions ◽

Spinel Structure ◽

Room Temperature ◽

Binary Systems ◽

Continuous Series ◽

X Ray ◽

Spinel Solid Solutions

Phase relations in two binary systems MgAl2O4–ZnAl2O4 and MgAl2O4–Mg2TiO4 have been studied and phase diagrams for them have been constructed. Based on the data of x-ray phase and crystal-optical analyses, the formation of a continuous series of solid solutions with spinel structure between the terminal members of the systems studied has been established. In the MgAl2O4–ZnAl2O4 system the solid solution is stable in the range from room temperature to melting temperature. In the MgAl2O4–Mg2TiO4 system the solid solution decomposes below 1380 °C, yielding the formation of limited regions of homogeneity on the basis of MgAlM2O4 and Mg2+2δ Ti1–δO4. Decomposition of the solid solution is accompanied by crystallization of MgTiO3.

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