Çok bileşenli kurşunsuz alaşımlara eşlik eden termodinamik özelliklerin belirlenmesi

Yıl 2019, , 597 - 608, 23.05.2019

Hüseyin Arslan , Ali Dogan

https://doi.org/10.17341/gazimmfd.416431

Cited By: 2

Öz

Bu çalışmada, üç, dört ve altı bileşenli sıvı alaşımlara, yüksek sıcaklıklar için, Chuo’nun genel çözüm modeli (GSM) ve geleneksel geometrik modeller uygulandı. Tüm geometrik modeller, deneysel sonuçlarla karşılaştırmak maksadıyla altı bileşenli Ni-Cr-Co-Al-Ti-Cu sıvı karışımın entalpileri ve kısmi entalpileri,  xNi/xCr =1, xNi/xCo =1, xCr/xCo =1, r=xAl / xTi oranları, dört bileşenli kurşunsuz Au–In–Sn–Zn alaşımının xIn / xSn  = 2,  xSn / xZn = 1 oranı ve üç bileşenli In-Pd-Sn alaşımının xIn/xSn =1 oranı için sırasıyla 2000K, 773K and 1173K sıcaklıklarında belirlendi. Geometrik modellerden elde edilen sonuçlar deneylerden elde edilenlerle karşılaştırılmış ve uyum içinde oldukları görülmüştür.

Anahtar Kelimeler

Geometrik modeller, Redlich-Kister katsayıları, Fazlalık Gibbs entalpisi, Termodinamik modeller

Kaynakça

• Wei, H., Zhang, H., Sun, X., Dargusch, M. ve Yao, X., “Interdiffusion within the β-phase region of the Ni–Co–Cr–Al quaternary system”, Journal of Alloys and Compounds, Cilt 493, No 1, 507-516, 2010.
• Fritscher, K., “Eutectic structures in the Ni–Co–Cr–Al system obtained by plasma spraying and by Bridgman growth”, Journal of Crystal Growth, Cilt 250, No 3, 546-557, 2003.
• Chen, Y.-L., Hu, Y.-H., Tsai, C.-W., Hsieh, C.-A., Kao, S.-W., Yeh, J.-W., Chin, T.-S. ve Chen, S.-K., “Alloying behavior of binary to octonary alloys based on Cu–Ni–Al–Co–Cr–Fe–Ti–Mo during mechanical alloying”, Journal of Alloys and Compounds, Cilt 477, No 1, 696-705, 2009.
• Živković, D., Balanović, L., Manasijević, D., Mitovski, A., Kostov, A., Gomidželović, L. ve Živković, Ž., “CALCULATION OF THERMODYNAMIC PROPERTIES IN QUARTERNARY Ni-Cr-Co-Al SYSTEM”, Journal of the University of Chemical Technology & Metallurgy, Cilt 46, No 1, 2011.
• Huang, W. ve Chang, Y., “Thermodynamic properties of the Ni–Al–Cr system”, Intermetallics, Cilt 7, No 8, 863-874, 1999.
• Grigorovich, K. ve Krylov, A.“Experimental investigation and joint description of the thermodynamic properties of Ni-Cr-Al melts”, in Journal of Physics: Conference Series. 2008. IOP Publishing.
• Suganuma, K., Kim, S.-J. ve Kim, K.-S., “High-temperature lead-free solders: Properties and possibilities”, JOM Journal of the Minerals, Metals and Materials Society, Cilt 61, No 1, 64-71, 2009.
• Kim, S., Kim, K.-S., Kim, S.-S. ve Suganuma, K., “Interfacial reaction and die attach properties of Zn-Sn high-temperature solders”, Journal of Electronic Materials, Cilt 38, No 2, 266-272, 2009.
• Boulouiz, A. ve Sabbar, A., “Pb-free solders: Experimental and calculated enthalpy of mixing of the liquid Au–In–Sn–Zn quaternary system”, Thermochimica Acta, Cilt 575, 151-158, 2014.
• Chou, K.-C., “A general solution model for predicting ternary thermodynamic properties”, Calphad, Cilt 19, No 3, 315-325, 1995.
• Kohler, F., “Estimation of the thermodynamic data for a ternary system from the corresponding binary systems”, Monatsh. Chem, Cilt 91, No 4, 738-740, 1960.
• Muggianu, Y.M., Gambino, M. ve Bros, J., “Enthalpies of formation of liquid alloys bismuth-gallium-tin at 723k-choice of an analytical representation of integral and partial thermodynamic functions of mixing for this ternary-system”, Journal de Chimie Physique et de Physico-Chimie Biologique, Cilt 72, No 1, 83-88, 1975.
• Toop, G., “Predicting ternary activities using binary data”, Transactions of the Metallurgical Society of AIME, Cilt 233, No 5, 850-&, 1965.
• Colinet, C., “Relation between the geometry of ternary phase diagrams and the thermodynamic properties of liquid solutions”, Duploˆ me d’etudes superieures, Univ Grenoble, France (Ph. D. Thesis in French), 1967.
• Chou, K.-C., Li, W.-C., Li, F. ve He, M., “Formalism of new ternary model expressed in terms of binary regular-solution type parameters”, Calphad, Cilt 20, No 4, 395-406, 1996.
• Chou, K.-C. ve Wei, S.-K., “A new generation solution model for predicting thermodynamic properties of a multicomponent system from binaries”, Metallurgical and Materials Transactions B, Cilt 28, No 3, 439-445, 1997.
• Zhang, G.-H., Wang, L.-J. ve Chou, K.-C., “A comparison of different geometrical models in calculating physicochemical properties of quaternary systems”, Calphad, Cilt 34, No 4, 504-509, 2010.
• Zhang, G.-H. ve Chou, K.-C., “General formalism for new generation geometrical model: application to the thermodynamics of liquid mixtures”, Journal of solution chemistry, Cilt 39, No 8, 1200-1212, 2010.
• Hillert, M., “Empirical methods of predicting and representing thermodynamic properties of ternary solution phases”, Calphad, Cilt 4, No 1, 1-12, 1980.
• Cupid, D.M., Thermodynamic assessment of the Ti–Al–Nb, Ti–Al–Cr, and Ti–Al–Mo systems, University of Florida, 2009.
• Plevachuk, Y., Sklyarchuk, V., Gerbeth, G., Eckert, S. ve Novakovic, R., “Surface tension and density of liquid Bi–Pb, Bi–Sn and Bi–Pb–Sn eutectic alloys”, Surface Science, Cilt 605, No 11, 1034-1042, 2011.
• Arslan, H., “Analytical determination of partial and integral properties of the six components systems Ni–Cr–Co–Al–Mo–Ti and their subsystems”, Physica B: Condensed Matter, Cilt 438, 48-52, 2014.
• Kaufman, L. ve Nesor, H., “Calculation of the binary phase diagrams of iron, chromium, nickel and cobalt”, Zeitschrift für Metallkunde, Cilt 64, 249-257, 1973.
• Kaufman, L. ve Nesor, H., “Coupled phase diagrams and thermochemical data for transition metal binary systems—V”, Calphad, Cilt 2, No 4, 325-348, 1978.
• Haiyan, L. ve Zhanpeng, J., “A reassessment of the Ti Ni system”, Calphad, Cilt 17, No 4, 415-426, 1993.
• Miki, T., Ishii, F. ve Hino, M., “Numerical analysis on Si deoxidation of molten Ni and Ni-Cu alloy by quadratic formalism”, Materials Transactions, Cilt 44, No 9, 1817-1823, 2003.
• Schuster, J.C. ve Du, Y., “Thermodynamic description of the system Ti-Cr-C”, Calphad, Cilt 23, No 3-4, 393-408, 1999.
• Liu, X., Jiang, Z., Wang, C. ve Ishida, K., “Experimental determination and thermodynamic calculation of the phase equilibria in the Cu–Cr–Nb and Cu–Cr–Co systems”, Journal of Alloys and Compounds, Cilt 478, No 1, 287-296, 2009.
• Davydov, A., Kattner, U., Josell, D., Waterstrat, R., Boettinger, W., Blendell, J. ve Shapiro, A., “Determination of the CoTi congruent melting point and thermodynamic reassessment of the Co-Ti system”, Metallurgical and Materials Transactions A, Cilt 32, No 9, 2175-2186, 2001.
• Palumbo, M., Curiotto, S. ve Battezzati, L., “Thermodynamic analysis of the stable and metastable Co–Cu and Co–Cu–Fe phase diagrams”, Calphad, Cilt 30, No 2, 171-178, 2006.
• Witusiewicz, V., Bondar, A., Hecht, U. ve Velikanova, T.Y., “The Al–B–Nb–Ti system: IV. Experimental study and thermodynamic re-evaluation of the binary Al–Nb and ternary Al–Nb–Ti systems”, Journal of Alloys and Compounds, Cilt 472, No 1, 133-161, 2009.
• Gomidželović, L., Mihajlović, I., Kostov, A. ve Živković, D., “Cu-Al-Zn System: Calculation of thermodynamic properties in liquid phase”, Hemijska industrija, Cilt 67, No 1, 157-164, 2013.
• Kumar, K.H., Ansara, I., Wollants, P. ve Delaey, L., “Thermodynamic optimisation of the Cu-Ti system”, Zeitschrift für Metallkunde, Cilt 87, No 8, 666-672, 1996.
• Dezellus, O., Arroyave, R. ve Fries, S.G., “Thermodynamic modelling of the Ag–Cu–Ti ternary system”, International Journal Of Materials Research, Cilt 102, No 3, 286-297, 2011.
• Arroyave, R., Eagar, T. ve Kaufman, L., “Thermodynamic assessment of the Cu–Ti–Zr system”, Journal of alloys and compounds, Cilt 351, No 1, 158-170, 2003.
• Hassam, S., Boa, D. ve Rogez, J., “Calorimetric investigations of Au–In, In–Sb and Au–In–Sb systems at 973K”, Journal of Alloys and Compounds, Cilt 520, 65-71, 2012.
• Wang, J., Leinenbach, C. ve Roth, M., “Thermodynamic modeling of the Au–Ge–Sn ternary system”, Journal of Alloys and Compounds, Cilt 481, No 1, 830-836, 2009.
• Liu, H., Liu, C., Ishida, K. ve Jin, Z., “Thermodynamic modeling of the Au-In-Sn system”, Journal of electronic materials, Cilt 32, No 11, 1290-1296, 2003.
• Liu, H., Ishida, K., Jin, Z. ve Du, Y., “Thermodynamic assessment of the Au–Zn binary system”, Intermetallics, Cilt 11, No 10, 987-994, 2003.
• Hultgren, R., Desai, P.D., Hawkins, D.T., Gleiser, M. ve Kelley, K.K., Selected values of the thermodynamic properties of binary alloys. 1973, DTIC Document.
• Rechchach, M., Sabbar, A., Flandorfer, H. ve Ipser, H., “Enthalpies of mixing of liquid In–Sn and In–Sn–Zn alloys”, Thermochimica Acta, Cilt 502, No 1, 66-72, 2010.
• Luef, C., Flandorfer, H. ve Ipser, H., “Enthalpies of mixing of liquid alloys in the In–Pd–Sn system and the limiting binary systems”, Thermochimica acta, Cilt 417, No 1, 47-57, 2004.
• Arslan, H., Dogan, A. ve Dogan, T., “An analytical approach for thermodynamic properties of the six-component systems Ni-Cr-Co-Al-Mo-Ti and their subsystems”, The Physics of Metals and Metallography, Cilt 114, No 12, 1053-1060, 2013.