Free energy of solid solutions and phase diagrams via quasiharmonic lattice dynamics

The solid solutions of [Formula: see text] were synthesized by solid-phase reactions from powder components of CaS, BaS, and Ga2S3. The temperature-concentration dependences of the Gibbs free energy of formation of [Formula: see text] solid solutions from ternary compounds and phase diagrams of the CaGa2S4–BaGa2S4 were determined by a calculation method. It was revealed that continuous solid solutions are formed in these systems. The spinodal decomposition of [Formula: see text] solid solutions into two phases is predicted at ordinary temperatures.

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Melting temperatures of the AIBIIICVI2-type (AI-Cu, Ag; BIII-Al, Ga, In; CVI-S, Se) compounds and phase diagrams of their solid solutions

Thermochimica Acta ◽

10.1016/0040-6031(85)85172-8 ◽

1985 ◽

Vol 93 ◽

pp. 685-688 ◽

Cited By ~ 8

Author(s):

I.V. Bodnar ◽

A.P. Bologa ◽

B.V. Korzun ◽

L.A. Makovetskaya

Keyword(s):

Phase Diagrams ◽

Solid Solutions ◽

Melting Temperatures

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InGaAsP Solid Solutions: Phase Diagrams, Growth from the Melt on GaAs Substrates, Elastically Strained Epitaxial Layers

Growth of Crystals ◽

10.1007/978-1-4615-0537-2_7 ◽

2002 ◽

pp. 67-79

Author(s):

Yu. B. Bolkhovityanov ◽

A. S. Yaroshevich ◽

M. A. Revenko ◽

E. M. Trukhanov

Keyword(s):

Phase Diagrams ◽

Solid Solutions ◽

Epitaxial Layers ◽

Gaas Substrates

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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

10.1093/oso/9780192846839.003.0002 ◽

2021 ◽

pp. 19-29

Author(s):

Adrian P Sutton

Keyword(s):

Free Energy ◽

Phase Diagrams ◽

Binary Systems ◽

Full Range ◽

Phase Rule ◽

Intermediate Phases ◽

Ordered Alloys ◽

Regions Of Stability ◽

Liquid States

Temperature-composition phase diagrams are introduced as maps of the regions of stability of binary systems at constant pressure, usually atmospheric pressure at sea level. Their construction is based on minimisation of the Gibbs free energy as a function of composition at a given temperature. The simple case of miscibility in the solid and liquid states over the full range of composition is discussed first. Eutectic and peritectic phase diagrams result from limited miscibility in the solid state. Intermediate phases, or ordered alloys, usually occur in narrow ranges of composition in phase diagrams, and this is also explained in terms of free energy composition curves. Each phase diagram is shown to obey the phase rule discussed in the previous chapter.

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