The enthalpies of mixing of ternary liquid Ag-Ca-Ge alloys
DOI:
https://doi.org/10.17721/fujcV9I1P51-62Keywords:
calcium, germanium, silver, high temperature calorimetry, enthalpy of mixingAbstract
Partial and integral enthalpies of mixing of the ternary Ag–Ca–Ge melts were determined for the first time by the high-temperature isoperibolic calorimetry at 1300–1550 K. The experiments were performed for six sections with a constant ratio of two components up to the molar fraction of the third component equal to 0.3. The enthalpies of mixing in this ternary system are exothermic values which increase in absolute value from the Ag corner of the concentration triangle towards the constituent binary Ca–Ge system. The minimum value of the integral enthalpy of mixing was obtained for Ca0.6Ge0.4 composition of the Ca–Ge binary system (about –58.00 kJ mol–1). The enthalpies of mixing of the ternary Ag–Ca–Ge melts are calculated for the whole concentration triangle by the Redlich-Kister-Muggianu method, taking into account the term of specific ternary interaction defined from our experimental data. The topology of the isoenthalpies of mixing is determined.
References
Wang J, Chartrand P, Jung I. Thermodynamic description of the Ag–(Ca, Li, Zn) and Ca–(In, Li) binary systems. Calphad 2015;50:68-81. https://doi.org/10.1016/j.calphad.2015.04.006
Dębski A, Dębski R, Gąsior W, Góral A. Formation enthalpy of intermetallic phases from Ag–Ca system. Experiment vs. modeling. Journal of Alloys and Compounds 2014;610:701-705. https://doi.org/10.1016/j.jallcom.2014.05.076
Huang G, Liu L, Jia B, Zhang L, Jin Z. Thermodynamic modeling of the Ca–Ag binary system. Journal of Alloys and Compounds 2008;460(1-2):375-378. https://doi.org/10.1016/j.jallcom.2007.06.064
Ivanov M, Berezutski V, Usenko N. Mixing enthalpies in Ag–Ca, Ag–Eu and Ag–Yb liquid alloys. International Journal of Materials Research 2009;100(7):1001-1004. https://doi.org/10.3139/146.110144
Palenzona A, Manfrinetti P, Fornasini M. The phase diagram of the Ca–Ge system. Journal of Alloys and Compounds 2002;345(1-2):144-147. https://doi.org/10.1016/s0925-8388(02)00326-2
Shevchenko M, Ivanov M, Berezutski V, Sudavtsova V. Thermodynamic Properties of Alloys in the Binary Ca–Ge System. Journal of Phase Equilibria and Diffusion 2015;36(6):554-572. https://doi.org/10.1007/s11669-015-0408-0
Mejbar J. These de Doctorat. l’Universite de Nancy I. 1993.
Delsante S, Borzone G, Novakovic R. Experimental thermodynamics, surface and transport properties of liquid Ag-Ge alloys. Thermochimica Acta 2019;682:178432. https://doi.org/10.1016/j.tca.2019.178432
Rajkumar V, Chen S. Phase Equilibria and Thermodynamic Descriptions of Ag-Ge and Ag-Ge-Ni Systems. Journal of Electronic Materials 2018;47(7):3666-3677. https://doi.org/10.1007/s11664-018-6216-7
Massalski TB, Okamoto H, Subramanian PR, Kacprzak L (Eds.) Binary Alloy Phase Diagrams. 2nd Edition., ASM International, Materials Park, Ohio, 1990; 1-2: 39-42.
Bellissent-Funel M, Desre P, Bellissent R, Tourand G. Structure of liquid eutectic Ag-Ge by neutron diffraction. Journal of Physics F: Metal Physics 1977;7(12):2485-2494. https://doi.org/10.1088/0305-4608/7/12/008
Kazimirov V, Roik A, Perevertailo V, Loginova O, Lisovenko S. The nature of the ordering of atoms in a melt and the surface properties of simple eutectic systems. Journal of Superhard Materials 2008;30(4):241-254. https://doi.org/10.3103/s1063457608040035
Eremenko VN, Lukashenko GM, Pritula VL. Thermodynamic properties of liquid solutions in the argentum-germanium system. Izv. Akad. Nauk SSSR Neorg. Mater. 1967; 3(9): 1584-1590 (in Russian).
Batalin GI, Beloborodova EA, Stukalo VA. Thermodynamic properties of germanium and argentum molten alloys. Zh. Fiz. Khim. 1971; 45(10): 2697 (in Russian).
Hultgren R, Desai PD, Hawkins DT, Gleiser M, Kelly KK. Selected Values of Thermodynamics Properties of Binary Alloys. ASM International, Metals Park, OH. 1973: 57-61.
Usenko N, Ivanov M, Petiuh V, Witusiewicz V. Thermochemistry of binary liquid alloys of copper with barium and lanthanide metals (europium, dysprosium and ytterbium). Journal of Alloys and Compounds 1993;190(2):149-155. https://doi.org/10.1016/0925-8388(93)90391-y
Usenko N, Kotova N, Ivanov M, Berezutski V. Mixing enthalpies in binary Ce-Sb and ternary Ce-Co-Sb liquid alloys. International Journal of Materials Research 2013;104(1):46-50. https://doi.org/10.3139/146.110834
Dinsdale A. SGTE data for pure elements. Calphad 1991;15(4):317-425. https://doi.org/10.1016/0364-5916(91)90030-n
Darken L. Application of the Gibbs-Duhem Equation to Ternary and Multicomponent Systems. Journal of the American Chemical Society 1950;72(7):2909-2914. https://doi.org/10.1021/ja01163a030
Hillert M. Empirical methods of predicting and representing thermodynamic properties of ternary solution phases. Calphad 1980;4(1):1-12. https://doi.org/10.1016/0364-5916(80)90016-4
https://www.webelements.com/periodicity/eneg_allred_rochow/
De Boer FR, Boom R, Mattens WCM, Miedema AR, Niessen AK. Cohesion in Metals. North-Holland, Amsterdam; 1988, 758.
Downloads
Published
Issue
Section
License
Copyright (c) 2021 French-Ukrainian Journal of Chemistry

This work is licensed under a Creative Commons Attribution 4.0 International License.
The French‑Ukrainian Journal of Chemistry holds copyright and publishes all articles under a Creative Commons Attribution 4.0 International licence (CC BY 4.0).
This license permits unrestricted use, sharing, adaptation, distribution, and reproduction in any medium or format, provided that the original author(s) and source are credited, a link to the license is included, and any changes made are indicated.
Authors grant the French‑Ukrainian Journal of Chemistry the exclusive right of first publication and may enter into separate, non‑exclusive distribution agreements for the published version (e.g., institutional repository, book chapter). Authors are also encouraged to post pre‑prints and post‑prints online to increase visibility and citation.










