Abstract
Abundant diffusion data in binary fcc Cu-Au and fcc Cu-Pt alloys have been assessed to obtain the atomic diffusion mobilities of fcc Cu-Au and fcc Cu-Pt alloys by the CALPHAD method. The obtained mobilities are expressed as functions of compositions and temperatures. Good agreements are obtained from comprehensive comparisons between the calculated and experimentally measured self-diffusion coefficients, impurity diffusion coefficients, tracer diffusion coefficients, interdiffusion coefficients, and concentration curves. Accordingly, the developed mobility parameters, in conjunction with the CALPHAD-type thermodynamic descriptions, can be used to simulate diffusion behaviors at high temperatures. It is believed that the results of this work contribute to the design of a general Cu mobility database.
Similar content being viewed by others
References
D.-Y. Shih, C.-A. Chang, J. Paraszczak, S. Nunes and J. Cataldo (1991) Thin-film Interdiffusions in Cu/Pd, Cu/Pt, Cu/Ni, Cu/NiB, Cu/Co, Cu/Cr, Cu/Ti, and Cu/TiN Bilayer Films: Correlations of Sheet Resistance with Rutherford Backscattering Spectrometries, J. Appl. Phys 70(6): 3052-3060
H. Ono, T. Nakano and T. Ohta (1994) Diffusion Barrier Effects of Transition Metals for Cu/M/Si Multilayers (M=Cr, Ti, Nb, Mo, Ta, W), Appl. Phys. Lett 64: 1511-1513
A. N. Aleshin, V. K. Egorov, B. S. Bokstein and P. V. Kurkin (1993) Study of Diffusion in Thin Au-Cu Films, Thin Solid Films 223: 51-55.
J. Wang, H. S. Liu, L. B. Liu and Z. P. Jin (2008) Assessment of Diffusion Mobilities in FCC Cu–Ni Alloys, Calphad, 32(1): 94-100
G. Ghosh (2001) Dissolution and Interfacial Reactions of Thin-film Ti/Ni/Ag Metallizations in Solder Joints, Acta Mater, 49: 2609-2624.
C. E. Campbell, W. J. Boettinger and U. R. Kattner (2002) Development of a Diffusion Mobility Database for Ni-base Superalloys, Acta Mater 50(4): 775-792
C. E. Campbell (2005) A New Technique for Evaluating Diffusion Mobility Parameters, J. Phase Equilib. Diff 26(5): 435-440
Y. W. Cui, K. Oikawa, R. Kainuma and K. Ishida (2006) Study of Diffusion Mobility of Al-Zn Solid Solution, J. Phase Equilib. Diff 27(4): 333-342
Y. W. Cui, M. Jiang, I. Ohnuma, K. Oikawa, R. Kainuma and K. Ishida (2008) Computational Study of Atomic Mobility for fcc Phase of Co-Fe and Co-Ni Binaries, J. Phase Equilib. Diff 29(1): 2-10
J. Mimkes and M. Wuttig (1996) Diffusion and Phase Diagram in Binary Alloys, Thermochimica Acta 282/283: 165-173
L. E. Trimble, D. Finn and A. Cosgarea (1965) A Mathematical Analysis of Diffusion Coefficients in Binary Systems, Acta Metall 13: 501-507
J. R. Manning (1967) Diffusion and the Kirkendall Shift in Binary Alloys, Acta Metall 15: 817-826
H. Mehrer (1996) Diffusion in Intermetallics, Mater. Trans. JIM 37(6): 1259-1280
J. Andersson and J. Ågren (1992) Models for Numerical Treatment of Multicomponent Diffusion in Simple Phases, J. Appl. Phys 72: 1350-1355
A. Borgenstam, A. Engström, L. Höglund and J Ågren (2000) Dictra, a Tool for Simulation of Diffusional Transformations in Alloys, J. Phase Equilib. Diff 21(3): 269-280
T. Helander and J. Ågren (1999) Diffusion in the B2-B.C.C. Phase of the Al-Fe-Ni System-Application of a Phenomenological Model, Acta Mater 47(11): 3291-3300
T. Helander and J. Ågren (1999) A Phenomenological Treatment of Diffusion in Al-Fe and Al-Ni Alloys Having B2-B.C.C. Ordered Structure, Acta Mater 47(4): 1141-1152
B. Jönsson (1995) Assessment of the Mobilities of Cr, Fe and Ni in bcc Cr-Fe-Ni Alloys, ISIJ Int. 35(11): 1415-1421
Y. Liu, Y. Ge, D. Yu, T. Pan, and L. Zhang, Assessment of the Diffusional Mobilities in BCC Ti-V Alloys, J. Alloys Compd., 2008, doi:10.1016/j.jallcom.2008.02.111 (in press)
V. A. Gorbachev, S. M. Klotsman, Y. A. Rabovskiy, V. K. Talinskiy and A. N. Timofeyev (1977) Diffusion of Impurities in Copper. V. Diffusion of Gold, Lead and Bismuth in Copper, Phys. Met. Metall 44(1): 191-194
S. Fujikawa, M. Werner, H. Mehrer and A. Seeger (1987) Diffusion of Gold in Copper over a Wide Range of Temperature, Mater. Sci. Forum 15-18: 431-436
A. B. Martin, R. D. Johnson and F. Asaro (1954) Diffusion of Gold into Copper, J. Appl. Phys 25(3): 364-369
T. F. Archbold and W. H. King (1965) Diffusion of Gold into Copper, Trans. AIME 233: 839-841
I.G. Greenfield and I. Tweer, Determination of Compositional Profiles near Grain Boundaries by Electron Diffraction, Electron Microscopy and Structure of Materials, Proc. of the Fifth International Materials Symposium, G. Thomas, R. M. Fulrath, and R. M. Fisher, Eds., Sept 13-17, 1971 (University of California, Berkeley), University of California Press, Berkeley, 1972, p 236-245
A. Chatterjee, D. J. Fabian (1968) Lattice and Grain-Boundary Diffusion of Gold in Nickel, J. Inst. Met 96: 186-189
A. Vignes and J. P. Haeussler (1966) Diffusion of Copper in Gold, Mem. Sci. Rev. Metall 63: 1091-1094
S. Benci, G. Gasparrini, E. Germagnoli and G. Schianchi (1965) Diffusion of Gold in Cu3Au, J. Phys. Chem. Solids 26: 687-690
W.B. Alexander, “Studies on Atomic Diffusion in Metals; I. Self-Diffusion in the Volume and Along the Dislocations of Cu3Au; II. Impurity Diffusion in Aluminum and Dilute Aluminum Alloys,” Ph.D. Thesis, University of North Carolina, 1969
T. Heumann and T. Rottwinkel (1978) Measurement of the Interdiffusion, Intrinsic and Tracer Diffusion Coefficients in Cu-rich Cu-Au Solid Solutions, J. Nucl. Mater. 6970: 567-570
A.V. Vignes and M. Badia, Interdiffusion and Kirkendall Shift in Binary Alloys: Test of the Manning Theory and Influence of the Diffusion Induced Structural Defects on the Interdiffusion Coefficient and Kirkendall Shift, Diffusion Processes, Proc. of the Thomas Graham Memorial Symposium, J.N. Sherwood, A.V. Chadwick, W.M. Muir, and F.L. Swinton, Eds., Vol. 1, p 275-299
A. E. Austin and N. A. Richard (1962) Grain-Boundary Diffusion of Gold in Copper, J. Appl. Phys 33: 3569-3574
T. O. Ziebold and R. E. Ogilvie (1967) Ternary Diffusion in Copper-Silver-Gold Alloys, Trans. AIME 239: 942-953
I. B. Borovskii, N. P. Il’in and E. L. Loseva (1963) Study of Mutual Diffusion in Cu-Au System, Trudy Inst. Met. A. A. Akad. Nauk SSSR 15: 32-40
M. R. Pinnel and J. E. Bennett (1972) Mass Diffusion in Polycrystalline Copper/Electroplated Gold Planar Couples, Metall Trans 3: 1989-1997
J. Unnam, D. R. Tenney and C. R. Houska (1981) An X-ray Study of Diffusion in the Cu-Au System, Metall. Trans. A 12: 1147-1150
G.V. Kidson and R. Ross, Radioisotopes in Scientific Research: Proceedings of the International Conference held in Paris in September 1957 under the Auspices of the United Nations Educational Scientific and Cultural Organization, R.C. Extermann, Ed., Vol. 1, p 185-193
F. Cattaneo, E. Germagnoli and F. Grasso (1962) Self-diffusion in Platinum, Phil. Mag 7: 1373-1383
G. Rein, H. Mehrer and K. Maier (1978) Diffusion of 197Pt and 199Au in Platinum at Low Temperatures, Physica Status Solidi A 45(1): 253-261
R. L. Fogelson, Y. A. Ugai and A. V. Pokoev (1972) Diffusion of Platinum in Copper, Fiz. Met. Metalloved 33(5): 1102-1104
G. Neumann, M. Pfundstein and P. Reimers (1982) Diffusion of Platinum in Single Crystals of Silver and Copper, Phil. Mag. A 45(3): 499-507
R.D. Johnson and B.H. Faulkenberry, Diffusion Coefficients of Copper and Platinum into Copper Platinum Alloys, Air Force Materials Lab, Wright-Patterson Air Force Base, Ohio, Contract No. AF33(657)-8765, Project No. 7351, Tech. Rept. No. ASD-TDR-63-625, 1963
O. Kubaschewski and H. Ebert (1944) Diffusion Measurements in Gold and Platinum Alloys, Z. Elektrochem 50: 138-144
C. Matano (1934) X-ray Studies on the Diffusion of Metals in Copper, Jpn. J. Phys 9: 41-47
J. Wang, L. B. Liu, H. S. Liu and Z. P. Jin (2007) Assessment of the Diffusional Mobilities in the Face-Centred Cubic Au-Ni Alloys, Calphad 31(2): 249-255
B. Sundman, S. G. Fries and W. A. Oates (1998) A Thermodynamic Assessment of the Au-Cu System, Calphad 22(3): 335-354
A. LeClaire, Progress in Metal Physics, B. Chalmers, Ed., Butterworth Scientific Publications, London, 1949, p 306-308
T. Abe, B. Sundman and H. Onodera (2006) Thermodynamic Assessment of the Cu-Pt System, J. Phase Equilib. Diff 27(1): 5-13
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, Y., Zhang, L. & Yu, D. Diffusion Mobilities in fcc Cu-Au and fcc Cu-Pt Alloys. J. Phase Equilib. Diffus. 30, 136–145 (2009). https://doi.org/10.1007/s11669-009-9469-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11669-009-9469-2