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Çok bileşenli kurşunsuz alaşımlara eşlik eden termodinamik özelliklerin belirlenmesi

Year 2019, Volume: 34 Issue: 2, 597 - 608, 23.05.2019

Hüseyin Arslan Ali Dogan

https://doi.org/10.17341/gazimmfd.416431
Cited By: 2

Abstract

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.

Keywords

Geometrik modeller Redlich-Kister katsayıları Fazlalık Gibbs entalpisi Termodinamik modeller

References

  • 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.

Year 2019, Volume: 34 Issue: 2, 597 - 608, 23.05.2019

Hüseyin Arslan Ali Dogan

https://doi.org/10.17341/gazimmfd.416431
Cited By: 2

Abstract

References

  • 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.
There are 43 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Makaleler
Authors

Hüseyin Arslan

Ali Dogan This is me

Publication Date May 23, 2019
Submission Date March 7, 2017
Published in Issue Year 2019 Volume: 34 Issue: 2

Cite

APA Arslan, H., & Dogan, A. (2019). Çok bileşenli kurşunsuz alaşımlara eşlik eden termodinamik özelliklerin belirlenmesi. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 34(2), 597-608. https://doi.org/10.17341/gazimmfd.416431
AMA Arslan H, Dogan A. Çok bileşenli kurşunsuz alaşımlara eşlik eden termodinamik özelliklerin belirlenmesi. GUMMFD. May 2019;34(2):597-608. doi:10.17341/gazimmfd.416431
Chicago Arslan, Hüseyin, and Ali Dogan. “Çok bileşenli kurşunsuz alaşımlara eşlik Eden Termodinamik özelliklerin Belirlenmesi”. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 34, no. 2 (May 2019): 597-608. https://doi.org/10.17341/gazimmfd.416431.
EndNote Arslan H, Dogan A (May 1, 2019) Çok bileşenli kurşunsuz alaşımlara eşlik eden termodinamik özelliklerin belirlenmesi. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 34 2 597–608.
IEEE H. Arslan and A. Dogan, “Çok bileşenli kurşunsuz alaşımlara eşlik eden termodinamik özelliklerin belirlenmesi”, GUMMFD, vol. 34, no. 2, pp. 597–608, 2019, doi: 10.17341/gazimmfd.416431.
ISNAD Arslan, Hüseyin - Dogan, Ali. “Çok bileşenli kurşunsuz alaşımlara eşlik Eden Termodinamik özelliklerin Belirlenmesi”. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 34/2 (May 2019), 597-608. https://doi.org/10.17341/gazimmfd.416431.
JAMA Arslan H, Dogan A. Çok bileşenli kurşunsuz alaşımlara eşlik eden termodinamik özelliklerin belirlenmesi. GUMMFD. 2019;34:597–608.
MLA Arslan, Hüseyin and Ali Dogan. “Çok bileşenli kurşunsuz alaşımlara eşlik Eden Termodinamik özelliklerin Belirlenmesi”. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, vol. 34, no. 2, 2019, pp. 597-08, doi:10.17341/gazimmfd.416431.
Vancouver Arslan H, Dogan A. Çok bileşenli kurşunsuz alaşımlara eşlik eden termodinamik özelliklerin belirlenmesi. GUMMFD. 2019;34(2):597-608.

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