The Cu-Cr-Zr Phase Diagram and Its Applications K .Zeng* and M. Hämäläinen** institute of Materials Research, GKSS-Research Center, Germany **Helsinki University of Technology, Espoo, Finland Abstract The phase diagrams of the Cu-Cr-Zr ternary and its sub-binary systems were optimised and calculated by using the CALPHAD method. An experiment was also carried out to check the reliability of the optimised thermodynamic parameters and clear up the confusion concerning the phase relationships in the Cu-rich corner of the Cu-Cr-Zr phase diagram. All the experimental <strong>da</strong>ta from the literature, phase diagram <strong>da</strong>ta and thermodynamic <strong>da</strong>ta, were evaluated carefully before being used in optimisation. The adjustable parameters of a thermodynamic model for each phase were selected by considering what thermodynamic quantities are connected with the measured values and how these quantities are connected with the parameters. When the entropy term is necessary in the case where Gibbs energies or phase diagram <strong>da</strong>ta are measured within a narrow temperature range, the Tanaka-Gokcen-Morita relationship was used to keep the ratio of enthalpy of mixing to the excess entropy of mixing constant. A complete thermodynamic description of the Cu-Cr-Zr system was obtained and used to calculate various phase diagram sections which are of theoretical and practical importance. Some experimental results from the literature were discussed on the basis of the calculated phase diagrams. The existence of the pseu<strong>do</strong>binary Cu-Cr 2 Zr system proposed in the literature has been ruled out. The results of the present study can be used not only as references for the experimental investigations on optimisation of the composition of Cu-Cr-Zr alloys and their production techniques, but also be combined with other evaluations based on the same type of thermodynamic models to provide a thermodynamic basis for alloy design. Publications 1. Kejun Zeng, Marko Hämäläinen, and Kaj Lilius, "Thermodynamic Modeling of theLaves Phases in the Cr-Zr System", CALPHAD 1993, 17 (1), 101-107. 2. Kejun Zeng and Marko Hämäläinen, "A Thermodynamic Assessment of the Cr- Zr System", Z. Metallkde. 1993, 84 (1), 23-28. 3. Kejun Zeng and Marko Hämäläinen, "Thermodynamic Analysis of Stable and Metastable Equilibria in the Cu-Cr System", CALPHAD 1995, 19(1), 93-104. 4. Kejun Zeng, Marko Hämäläinen, and Hans Leo Lukas, "A New Thermodynamic Description of the Cu-Zr System", J. Phase Equilibria 1994, 15 (6), 577-586. - 228 -
Kejun Zeng and Marko Hämäläinen, "A Theoretical Study of the Phase Equilibria in the Cu-Cr-Zr System", J. Alloys and Compounds 1995, 220, 53- 61. Kejun Zeng, Marko Hämäläinen, and Kaj Lilius, "Phase Relationships in Curich Corner of the Cu-Cr-Zr Phase Diagram", Scr. Metall. Mater. 1995, 32 (12), 2009-2014. K .Zeng and M. Hämäläinen, "The Cu-Cr-Zr Phase Diagram and Its Applications", in "European Concerted Action: Database for the Development of New Light Alloys (<strong>COST</strong>-<strong>507</strong>)", Proc. Conf. (ed. P. Spencer), March 9-12, 1997, Vaals, Netherland Publications in <strong>COST</strong> <strong>507</strong> Action 1. Zeng, K., Hämäläinen M., Luoma, R., A thermodynamic assessment of the Cr-Zr system, Report TKK-V-B66 (1991) 2. Coughanowr, CA., Ansara, I., Luoma, R., Hämäläinen, M., Lukas, L., Assessment of the Cu-Mg system, Z. Metallkunde, 1991, 82, (7), pp. 574-581 3. Zeng, K., Hämäläinen, M., Lilius, K., Thermodynamic modeling of the Laves phases in the Cr-Zr system, CALPHAD, 17 (1993), p. 101-107. 4. Zeng, K., Hämäläinen, M., Luoma, R., A thermodynamic assessment of the Cr-Zr system, Z. Metallkunde, 84, (1993), p. 23-28. 5. Zeng, K., Hämäläinen, M., Thermodynamic analysis of the stable and metastable equilibrium diagrams of the Cu-Cr system, Report TKK-V-B87 (1993) 6. Zeng, K., Hämäläinen, M., A new thermodynamic description of the Cu-Zr system, Report TKK-V-B87 (1993) 7. Zeng, K., Hämäläinen, M., Lukas, H.-L., A New Thermodynamic Description of the Cu-Zr System, J. of Phase Equilibria, vol. 15, No. 6, 1994, pp. 577-586 8. Zeng, K., Hämäläinen, M., A Theoretical Study of the Phase Equilibria in the Cu- Cr-Zr System, Proceedings of the 5th Inter. Conf. on Thermodynamics of Alloys, April 25-28, 1994, Genova, Italy, J. Alloys ά Compounds, vol 220 (1995), pp. 53- 61 9. Isopiestic determination of the coefficients of activity of magnesium in Al-Cu-Mg liquid alloys, Soares, D., Malheiros, L.F., Hämäläinen, M., Castro, F., Proceedings of the 5th Inter. Conf. on Thermodynamics of Alloys, April 25-28, 1994, Genova, Italy, J. Alloys & Compounds, vol 220 (1995), pp. 179-181 10. Phase relationships in Cu-rich corner of the Cu-Cr-Zr phase diagram, Zeng, K., Hämäläinen, M., Lilius, K., Scripta metall, et mater, vol 32, No. 12, 1995, pp. 2009-2014 - 229 -
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European Commission COST European c
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European Commission COST European c
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Preface The Final Workshop of the C
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COST 507 STRUCTURE Measurement and
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GRl: Mirtee S.A., Volos Mr.P.Polati
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D9 Dll Fl GR2 II NI S3 SF1 "Thermop
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A Summary of the COST 507 Action an
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Aluminium-based systems Titanium-ba
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An Example using the COST 507 Datab
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Appendix COST 507: Some Key Meeting
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Al - 0.5 Fe, 1 Mg, 0.8 Mn, 0.2 Si (
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Fig 4 Aluminium beverage cans. The
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Fig 6 High pressure compressor vane
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INTRODUCTION All of us are aware of
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In the interaction with materials a
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There was a first warning more than
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Some time ago, the well-known physi
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Today there is a whole range of ins
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The dimension of this reservoir inc
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REFERENCES [ 1 ] G. Petzow, "Man, M
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Trends in Application of Materials
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Raw Materials The Cycle of Material
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i LÌ i.'»Af·· iù^ VV.V.X. iTTa
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1600 OJ 1200 .« 1100 d 1000 900 Si
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Al Phase Relations in the Aluminium
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oundaries of the single phase regio
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Table 1 : Crystallographic Data of
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order to facilitate the evaluation
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(especially around 33 at% Mg) in or
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3.System Ti-Sn-Al-N. The investigat
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6) N.Durlu, U.Gruber, M.Pietzka, H.
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Summary of final report Directional
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calculate the thermodynamic mixing
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Introduction It is the aim of this
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Thermodynamic evaluations for high
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Figure 5 presents the calculated li
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There is a complete lack in the lit
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a.B5 ø.ia 0.15 0.20 0.25 0.30 0.35
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700 [53Phi] 800 +[90Kuz21 ]iquld a
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Thermodynamic Assessments, Experime
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satisfied the three requirements of
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84Bey R. Beyers, R. Sinclair, and M
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Material and Methods 2.1 Fabricatio
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3.4 Electronmicroscopy (SEM) and X-
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Tab. 3: Density of the Ti20Albase
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Tab.5. continued TÌ20A1 5CulONi Ti
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Fig. 3: ESMA and Xray diffraction
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Fig.7: Wetting angle of Ti 15A1 lOC
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Thermophysical Properties of Light
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Tab.2 Chemical composition of terna
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700 (AI)+AIFeS¡«_600 KS1275.1 l
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4.2 Thermal conductivity of industr
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4.3 AlSiZn alloys Electrical re
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94Jar/Bra G.Jaroma-Weiland, R.Brand
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MgZn9 (C 14) and Mg2Zn u in the Al
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The three Laves phases were describ
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References [13Ege] G. Eger, Z. Meta
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0.30 0.35 0.40 0.45 0.50 mole fract
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□ [48Koe] 600 500 400 0 0.1 0
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MggZn,, this work □ Single phase,
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Temperatures in °C 0.05 0.10 mole
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Table 2 : Alloy compositions Alloy
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All. Dy 50 Cpexp °C Cpadd Table 5
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Zn ¿Kl Si Fig. 2 : Position of the
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22.5 ■■ 7.5 Temperature ICI Tem
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.to 2.5 "lõõ soo iÍOõ dOõ rtõ
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GR2 Differential Scanning Calorimet
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Time (x10 3 sec) Fig. 1. DSC Thermo
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solidification. It can be seen that
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4. Conclusions Differential scannin
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COST 507 - ROUND Π UNIT II SEZIONE
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[96Sac] The Rrich regions of the
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List of publications in the framewo
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2Contributions: oral or posters p
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1996 REPORT 2 s ' PART: ACTIVITY CA
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[96Sei] Excess Gibbs energy coeffic
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List of publications in the framewo
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Proc. :7 th Meeting on "Syntheses a
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2.1 Solid solubility measurements T
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eviews by Rivlin and Raynor [81 Riv
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inaires. Thesis, Universite Scienti
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Table 1. Review of the ternary phas
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L) Liq+bcc=FeSi+t_1 M) Liq+t 1=FeSi
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Extrapolations based on Ti-C-N S3 B
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value has been accepted in all thre
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NOTICE TO THE READER Information on