Thermodynamic properties of liquid copper–antimony–tin alloys determined from e.m.f. measurements
-
Dominika Jendrzejczyk-Handzlik
, Wojciech Gierlotka and Krzysztof Fitzner
Abstract
The thermodynamics properties of liquid Cu–Sn–Sb alloys were determined using solid-oxide galvanic cells with zirconia electrolyte:
in the temperature range from 998 to 1223 K.
The Gibbs free energy of formation of pure solid SnO2 from pure elements was derived. Using electromotive force values measured for the cell with xSn = 1.0, the following temperature dependence was obtained:
Activities of tin were determined along three sections of the ternary system specified by the ratio of mole fractions xCu/xSb = 1:3, 1:1, and 3:1. Thermodynamic properties of the liquid phase were described by the Redlich–Kister–Muggianu formula. Using commercial software, phase relations in the ternary system were calculated. The results of the calculations are compared with experimental data available from literature.
Refrences
[1]G.Ghosh, in: G. Effenberg S. Ilyenko (Eds.), Landolt-Bornstein Database, New Series IV/11C2, Springer Verlag (2007) 420.Search in Google Scholar
[2]W.Bonsack: Z. Metallkd.19 (1927) 107.10.1021/ie50205a033Search in Google Scholar
[3]M.Tasaki: Mem. Coll. Eng. Kyoto Imp. Univ. A12 (1929) 227.Search in Google Scholar
[4]J.V.Harding, W.T.Pell-Walpole: J. Inst. Met.75 (1948-49) 115.Search in Google Scholar
[5]C.Lee, C.Y.Lin, Y.W.Yen: Intermetallics15 (2007) 1027. 10.1016/j.intermet.2006.12.002Search in Google Scholar
[6]W.Gierlotka, D.Jendrzejczyk-Handzlik: J. Alloys Compd.484 (2009) 172. 10.1016/j.jallcom.2009.05.056Search in Google Scholar
[7]W.Gierlotka, S.W.Chen, S.K.Lin: J. Mater. Res.22 (2007) 3158. 10.1557/JMR.2007.0396Search in Google Scholar
[8]S.W.Chen, C.C.Chen, W.Gierlotka, A.R.Zi, P.Y.Chen, H.J.Wu: J. Electron Mater.37 (2008) 992. 10.1007/s11664-008-0464-xSearch in Google Scholar
[9]A.T.Dinsdale, A.Kroupa, J.Vízdal, J.Vrestal, A.Watson, A.Zemanova: COST 531 Database for Lead-free Solders, Version 3.0 (2008).Search in Google Scholar
[10]D.A.Griffiths, J.Braithwaite, L.W.Beckstead, G.R.B.Elliott: J. Electrochem. Soc.120 (1973) 301. 10.1149/1.2403441Search in Google Scholar
[11]J.J.Lee, B.J.Kim, W.S.Min: J. Alloys Compd.202 (1993) 69. 10.1016/0925-8388(93)90519-SSearch in Google Scholar
[12]J.Romanowska, L.Bencze, A.Popovic: Arch. Mater. Sci. Eng.39 (2009) 69.Search in Google Scholar
[13]D.Jendrzejczyk-Handzlik, W.Gierlotka, K.Fitzner: Int. J. Mater. Res.97 (2006) 1519.Search in Google Scholar
[14]D.Jendrzejczyk-Handzlik, W.Gierlotka, K.Fitzner: Int. J. Mater. Res.99 (2008) 1213. 10.3139/146.101755Search in Google Scholar
[15]G.G.Charette, S.N.Flengas: J. Electrochem. Soc.115 (1968) 796. 10.1149/1.2411434Search in Google Scholar
[16]B.Onderka: PhD Thesis, IMIM PAN, Kraków (1994).Search in Google Scholar
[17]T.N.Belford, C.B.Alcock: Trans. Faraday. Soc.61 (1965) 443. 10.1039/tf9656100443Search in Google Scholar
[18]G.Petot-Ervas, R.Farhi, C.Petot: J. Chem. Thermodyn.7 (1975) 1131. 10.1016/0021-9614(75)90033-6Search in Google Scholar
[19]S.Seetharaman, L.I.Staffansson: Scand. J. Metall.6 (1977) 143.Search in Google Scholar
[20]T.Oishi, T.Hiruma, J.Moriyama: Nippon Kinzoku Gakkaishi36 (1972) 481.Search in Google Scholar
[21]Y.Matsushita, K.Goto: ThermodynamicsIAEAVienna (1966) 111.Search in Google Scholar
[22]M.J.Bannister: J. Chem. Thermodyn.18 (1986) 455. 10.1016/0021-9614(86)90093-5Search in Google Scholar
[23]C.Mallika, A.M.E.S.Raj, K.S.Nagaraja, O.M.Sreedharan: Thermochim. Acta371 (2001) 95. 10.1016/S0040-6031(01)00416-6Search in Google Scholar
[24]D.Jendrzejczyk-Handzlik, M.Rechchach, W.Gierlotka, H.Ipser, H. Flandorfer; Thermochim. Acta512 (2011) 217. 10.1016/j.tca.2010.10.010Search in Google Scholar
[25]J.Lapsa, B.Onderka, C.Schmetterer, H.Ipser, Y.Yuan, G.Borzone: Thermochim. Acta519 (2011) 55. 10.1016/j.tca.2011.02.032Search in Google Scholar
[26]Thermo Calc Software, Stockholm Technology Park, Bjornnasvagen21, Sweden.Search in Google Scholar
[27]Pure 4.4 SGTE Pure Elements (Unary) Database, Scientific Group Thermodate Europe, 1991–2006.Search in Google Scholar
[28]Pandat, CompuTherm LLC, 437 S. Yellowstone Dr., Suite 217, Madison, WI 53719, USA.Search in Google Scholar
[29]A.Robie, B.S.Hemingway, J.R.Fisher: Thermodynamic Properties of Minerals and Related Substances at 298.15 K and 1 Bar Pressure and at Higher Temperatures; Geological Survey Bull. 1452, Washington (1978).Search in Google Scholar
[30]J.Carbo Nover, F.D.Richardson: Trans. Inst. Mineral. Metal., London; C81 (1972) 63.Search in Google Scholar
[31]I.Karakaya, W.T.Thompson: Can. Metall. Q.22 (1983) 61.Search in Google Scholar
[32]E.T.Turkdogan: Physical Chemistry of High Temperature Technology, Academic Press (1980).Search in Google Scholar
[33]A.Krzyżak, K.Fitzner: Thermochim. Acta414 (2004) 115. 10.1016/j.tca.2003.12.005Search in Google Scholar
[34]A.Dinsdale, A.Watson, A.Kroupa, J.Vrestal, A.Zemanowa, J.Vizdal: Atlas of Phase Diagram for Lead-Free Soldering, COST office Vol.1 (2008).Search in Google Scholar
[35]M.Hillert: Phase Equilibria, Phase Diagrams and Phase Transformations, Cambridge University press, (1998).Search in Google Scholar
© 2012, Carl Hanser Verlag, Munich
Articles in the same Issue
- Contents
- Contents
- Editorial
- A new editor for IJMR and other changes
- ECAA 2011
- Proceeding Papers
- A model for co-clusters and their strengthening in Al–Cu–Mg based alloys: a comparison with experimental data
- Effect of room temperature storage time on precipitation in Al–Mg–Si(–Cu) alloys with different Mg/Si ratios
- Influence of Mg/Si ratio on the clustering kinetics in Al–Mg–Si alloys
- Effect of simultaneous deformation and artificial ageing on the mechanical properties of an Al–Mg–Si alloy
- Ab-initio modeling of metastable precipitation processes in aluminum 7xxx alloys
- The kinetics of clustering in Al–Mg–Si alloys studied by Monte Carlo simulation
- Regular Articles
- A physically based approach to model the incomplete bainitic transformation in high-Si steels
- Impact of interannealing on recrystallization during final annealing in twin-belt cast Al–Fe–Si sheet
- Direct preparation of ferrite magnetic material from Jinchuan nickel sulfide concentrate by acid leaching
- Effect of La3+ on microwave dielectric properties of (Pb1−xCax)(Fe0.5Nb0.5)O3 (x = 0.5–0.6) ceramics
- Thermodynamic properties of liquid copper–antimony–tin alloys determined from e.m.f. measurements
- Modelling of metal nano-particle condensation and growth in a reactive atmosphere
- Characterization and catalytic behavior of CuO@SiO2 nanocomposites towards NO oxidation and N2O decomposition
- Manufacturing process and electrochemical properties of an Mg–Ga–Hg anode sheet
- Effect of strain rate and dynamic strain ageing on work-hardening for aluminium alloy AA5182-O
- Steady-state creep analysis of a functionally graded thick cylinder subjected to internal pressure and thermal gradient
- Residual stress relaxation of hydroxyapatite/316L asymmetrical functionally gradient material fabricated by hot-pressing
- Strength and water permeability of concrete containing various types of fly ashes and filler material
- Comment to the paper “Re-evaluation of activities of magnesium and zinc components in the magnesium–zinc binary system from very low to high temperature”
- DGM News
- DGM News
Articles in the same Issue
- Contents
- Contents
- Editorial
- A new editor for IJMR and other changes
- ECAA 2011
- Proceeding Papers
- A model for co-clusters and their strengthening in Al–Cu–Mg based alloys: a comparison with experimental data
- Effect of room temperature storage time on precipitation in Al–Mg–Si(–Cu) alloys with different Mg/Si ratios
- Influence of Mg/Si ratio on the clustering kinetics in Al–Mg–Si alloys
- Effect of simultaneous deformation and artificial ageing on the mechanical properties of an Al–Mg–Si alloy
- Ab-initio modeling of metastable precipitation processes in aluminum 7xxx alloys
- The kinetics of clustering in Al–Mg–Si alloys studied by Monte Carlo simulation
- Regular Articles
- A physically based approach to model the incomplete bainitic transformation in high-Si steels
- Impact of interannealing on recrystallization during final annealing in twin-belt cast Al–Fe–Si sheet
- Direct preparation of ferrite magnetic material from Jinchuan nickel sulfide concentrate by acid leaching
- Effect of La3+ on microwave dielectric properties of (Pb1−xCax)(Fe0.5Nb0.5)O3 (x = 0.5–0.6) ceramics
- Thermodynamic properties of liquid copper–antimony–tin alloys determined from e.m.f. measurements
- Modelling of metal nano-particle condensation and growth in a reactive atmosphere
- Characterization and catalytic behavior of CuO@SiO2 nanocomposites towards NO oxidation and N2O decomposition
- Manufacturing process and electrochemical properties of an Mg–Ga–Hg anode sheet
- Effect of strain rate and dynamic strain ageing on work-hardening for aluminium alloy AA5182-O
- Steady-state creep analysis of a functionally graded thick cylinder subjected to internal pressure and thermal gradient
- Residual stress relaxation of hydroxyapatite/316L asymmetrical functionally gradient material fabricated by hot-pressing
- Strength and water permeability of concrete containing various types of fly ashes and filler material
- Comment to the paper “Re-evaluation of activities of magnesium and zinc components in the magnesium–zinc binary system from very low to high temperature”
- DGM News
- DGM News