Abstract
Abundant experimental diffusion data in two Co-base binary systems, that is, Co-Ni and Co-Fe, have been assessed to develop the atomic mobility for the face-centered cubic (fcc) phase of the two binaries. The general agreement is obtained by comprehensive comparisons made between the calculated and experimental diffusion coefficients. The developed mobility database, in conjunction with the CALPHAD-type thermodynamic description, has been successfully used to simulate such typical experimental interdiffusion phenomena as the concentration profiles, the microstructural stability of the Kirkendall plane, and the lattice plane displacement.
Similar content being viewed by others
References
Sato J., Ohmori T., Ohnuma I., Kainuma R., Ishida K. (2006) Cobalt-Base High-Temperature Alloys. Science 312:90-91
Guillermet A.F. (1987) Assessment of the Thermodynamic Properties of the Ni-Co System. Z. Metallkd. 78(9):639-647
Guillermet A.F. (1988) Critical Evaluation of the Thermodynamic Properties of the Fe-Co System. High Temp. High Press 19(5):477-499
Sato J., Oikawa K., Kainuma R., Ishida K. (2005) Experimental Verification of Magnetically Induced Phase Separation in αCo Phase and Thermodynamic Calculations of Phase Equilibria in the Co-W System. Mater. Trans. 46(6):1199-1207
Campbell C.E., Boettinger W.J., Kattner U.R. (2002) Development of a Diffusion Mobility Database for Ni-Base Superalloys. Acta Mater. 50(4):775-792
Campbell C.E., Zhao J.-C., Henry M.F. (2004) Comparison of Experimental and Simulated Multicomponent Ni-Base Superalloy Diffusion Couples. J. Phase Equilibria Diffusion 25(1):6-15
Zhu J.Z., Chen L-Q, Shen J., Tikare V. (1999) Coarsening Kinetics from a Variable-Mobility Cahn-Hilliard Equation: Application of a Semi-implicit Fourier Spectral Method. Phys. Rev. E 60(4):3564-3572
Zhu J.Z., Liu Z.K., Vaithyanathan V., Chen L.-Q. (2002) Linking Phase-Field Model to CALPHAD: Application to Precipitate Shape Evolution in Ni-Base Alloys. Scr. Mater. 46(5):401-406
Zhu J.Z., Wang T., Ardell A.J., Zhou S.H., Liu Z.-K., Chen L.-Q (2004) Three-Dimensional Phase-Field Simulations of Coarsening Kinetics of γ′ Particles in Binary Ni-Al Alloys. Acta Mater. 52(9):2837-2845
Borgenstam A., Engstrom A., Hoglund L., Agren J. (2000) DICTRA, a Tool for Simulation of Diffusional Transformations in Alloys. J. Phase Equilibria Diffusion 21(3):269-280
Hoglund L., Agren J. (2001) Analysis of the Kirkendall Effect, Marker Migration and Pore Formation. Acta Mater. 49(8):1311-1317
Strandlund H., Larsson H. (2004) Prediction of Kirkendall Shift and Porosity in Binary and Ternary Diffusion Couples. Acta Mater. 52(15):4695-4703
Andersson J.O., Agren J. (1992) Models for Numerical Treatment of Multicomponent Diffusion in Simple Phases. J. Appl. Phys. 72(4):1350-1355
B. Jonsson, Ferromagnetic Ordering and Diffusion of Carbon and Nitrogen in bcc Cr-Fe-Ni Alloys, Z. Metallkd., 85(7), p 498-501
Cornet J.F., Calais D. (1972) Etude de L’Effet Kirkendall D’Apres les Equations de Darken. J. Phys. Chem. Solid. 33(9):1675-1684, in French
Kulkarni N.S., Iswaran C.V., DeHoff R.T. (2005) Intrinsic Diffusion Simulation for Single-Phase, Multicomponent Systems. Acta Mater. 53(15):4097-4110
van Dal M.J.H, Gusak A.M., Cserhati C., Kodentsov A.A., van Loo F.J.J (2001) Microstructural Stability of the Kirkendall Plane in Solid-State Diffusion. Phys. Rev. Lett. 86(15):3352-3355
van Dal M.J.H., Gusak A.M., Cserhati C., Kodentsov A.A., van Loo F.J.J. (2002) Spatio-Temporal Instabilities of the Kirkendall Marker Planes During Interdiffusion in β′-AuZn. Philos. Mag. A 82(5):943-954
Ruder R.C., Birchenall C.E. (1951) Cobalt Self-Diffusion-A Study of the Method of Decrease in Surface Activity. Trans. AIME 191(2):142-146
Million B., Kucera J. (1972) Diffusion von Kobalt in Ni-Co-Legierungen bei Temperaturen bis 1000°C. Z. Metallkd. 63(8):484-489, in German
Bussmann W., Herzig Ch., Rempp W., Maier K., Mehrer H. (1979) Isotope Effect and Self-Diffusion in Face-Centered Cubic Cobalt. Phys. Stat. Sol. (a) 56(1):87-97, in German
Lee C.-G., Iijima Y., Hirano K. (1993) Self-Diffusion and Isotope Effect in Face-Centred Cubic Cobalt. Defect Diffusion Forum 95-98:723-728
Hirano K., Agarwala R.P., Averback B.L., Cohen M. (1962) Diffusion in Cobalt-Nickel Alloys. J. Appl. Phys. 33(10):3049-3054
Million B., Kucera J. (1969) Concentration Dependence of Diffusion of Cobalt in Nickel-Cobalt. Acta Met. 17(3):339-344
Badia M., Vignes A. (1969) Iron, Nickel and Cobalt Diffusion in Transition Metals of Iron Group. Acta Met., 17(2):177-187, in French
Suzuoka T. (1961) Lattice Diffusion and Grain Boundary Diffusion of Cobalt in γ-Iron. Trans. JIM 2(3):176-182
Vladimirov B., Kaygorodov V.N., Klotsman S.M., Trakhtenberg I.S. (1978) Volumetrical Diffusion of Cobalt and Tungsten in Nickel. Fiz. Met. Metalloved. 46(6):1232-1239, in Russian
Jung S.B., Yamane T., Minamino Y., Hirano K., Araki H., Saji S. (1992) Interdiffusion and its Size Effect in Nickel Solid-Solutions of Ni-Co, Ni-Cr and Ni-Ti Systems. J. Mater. Sci. Lett. 11(20):1333-1337
MacEwan J.R., MacEwan J.U., Yaffe L. (1959) Diffusion of Ni-63 in Iron, Cobalt, Nickel, and Iron-Nickel Alloys. Canad. J. Chem. 37(10):1629-1636
Hassner A., Lange W. (1965) Volumenselbstdiffusion in Kobalt-Nickel-Legierungen. Phys. Stat. Sol. 8(1): 77-91, in German
Million B., Kucera J. (1971) Concentration Dependence of Nickel Diffusion in Nickel-Cobalt Alloys. Czech. J. Phys. 21(2):161-171
Iijima Y., Hirano K. (1971) Interdiffusion in Cobalt-Nickel Alloys. J. Jpn. Inst. Met. 35(5):511-517, in Japanese
Hirai Y., Tasaki Y., Kosaka M. (1973) A Study on the Friction-Welded Diffusion Couples-Chemical Diffusion of Co-Ni Alloy at 1000°C. Nagoya Kogyo Gijutso Shikenso Hokoku 22(4):125-131, in Japanese
Ustad T., Sorum H. (1973) Interdiffusion in Fe-Ni, Ni-Co, and Fe-Co Systems. Phys. Stat. Sol. (a) 20(1):285-294
Kucera J., Ciha K., Stransky K. (1977) Interdiffusion in Co-Ni System-Concentration Penetration Curves and Interdiffusion Coefficients. Czech. J. Phys. B 27(7): 758-768
Heumann Th., Kottmann A. (1953) Uber den Ablauf der Diffusionsvorgange in Substitutionsmischkristallen. Z. Metallkd. 44(4):139-154, in German
Borovskiy I.B., Marchukova I.D., Ugaste Yu.E. (1967) Local X-ray Spectranalysis of Mutual Diffusion in Binary Systems Forming a Continuuous Series of Solid Solutions-Systems Fe-Ni Ni-Co Ni-Pt and Co-Pt. Phys. Met. Metallogr. 24(3):436-441, in Russian
Ugaste Yu.E., Kodentsov A.A., van Loo F. (1999) Compositional Dependence of Diffusion Coefficients in the Co-Ni, Fe-Ni, and Co-Fe Systems. Phys. Met. Metallogr. 88(6):598-604
Wanin M., Khon A. (1968) Determination by Tracer Technics of Iron and Nickel Diffusion Coefficients in Iron-Nickel Alloys and of Iron and Cobalt in Iron-Cobalt Alloys. C.R. Acad. Sci. C 267(23):1558-1561, in French
Fishman S.G., Gupta D., Lieberman D.S. (1970) Diffusivity and Isotope-Effect Measurements in Equiatomic Fe-Co. Phys. Rev. B 2(6):1451-1460
Hirone T., Kunitomi N., Sakamoto M. (1958) Diffusion of Cobalt into Iron-Cobalt Alloy. J. Phys. Soc. Jpn. 13(8):840-844
Hirano K., Cohen M. (1972) Diffusion of Cobalt in Iron-Cobalt Alloys. Trans. JIM 13(2):96-102
Badia M., Vignes A. (1969) Influence of Structure Changes Produced by Interdiffusion on Interdiffusion Coefficient and Kirkendall Effect. Rev. Met. 66(12):915-927, in French
Hirano K., Iijima Y., Araki K., Homma H. (1977) Interdiffusion in Iron-Cobalt Alloys. Trans. ISIJ 17(4):194-203
Campbell C.E. (2005) A New Technique for Evaluating Diffusion Mobility Parameters. J. Phase Equilibria Diffusion 26(5):435-440
Hrebicek J., Kucera J., Stransky K. (1975) Determination of Interdiffusion Coefficients in Co-Ni System with Use of Spline Functions. Czech. J. Phys. B 25(10):1181-1191
Kucera J., Ciha K., Stransky K. (1977) Interdiffusion in Co-Ni System-III-Intrinsic Diffusion Coefficients. Czech. J. Phys. B 27(9):1049-1059
van Dal M.J.H., Pleumeekers M.C.L.P., Kodentsov A.A., van Loo F.J.J. (2000) Intrinsic Diffusion and Kirkendall Effect in Ni-Pd and Fe-Pd Solid Solutions. Acta Mater. 48(2):385-396
Acknowledgments
This work was supported by CREST, Japan Science and Technology Agency. YC gratefully acknowledges to the 21st century COE program for financial support.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cui, YW., Jiang, M., Ohnuma, I. et al. Computational Study of Atomic Mobility for fcc Phase of Co-Fe and Co-Ni Binaries. J Phs Eqil and Diff 29, 2–10 (2008). https://doi.org/10.1007/s11669-007-9238-z
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11669-007-9238-z