Abstract
In this work, the ternary diffusion behavior in fcc Ni-Fe-V system has been investigated by means of solid-state diffusion couple technique at 1000, 1100 and 1200 °C. The composition-dependent ternary interdiffusion coefficients were determined via Whittle-Green method, in which the uncertainties were calculated by error propagation and the reliability was validated via thermodynamic constraints. The ternary main interdiffusion coefficients of \(\tilde{D}_{\text{FeFe}}^{\text{Ni}}\) and \(\tilde{D}_{\text{VV}}^{\text{Ni}}\) were compared with the ones in binary Fe-Ni and Ni-V systems in the literature, respectively. The obtained interdiffusion coefficients combined with the thermodynamic description were employed to evaluate the atomic mobilities in fcc Ni-Fe-V system through the DICTRA (DIffusion-Controlled TRAnsformations) software package. A comprehensive comparison between the model-predicted diffusion behaviors and the experimental ones, including concentration/interdiffusion-flux distribution and diffusion path, confirms the reliability of the present atomic mobility. Besides, based on the presently obtained atomic mobilities, three-dimensional surfaces for the diagonal interdiffusivity at 1000, 1100 and 1200 °C were plotted. Furthermore, three-dimensional planes of the activation energy and frequency-factor of main interdiffusivities were evaluated using the Arrhenius equation. This work is part of our work to build a general kinetic database for soft magnetic alloys and cemented carbides.
Similar content being viewed by others
References
C.V. Mikler, V. Chaudhary, T. Borkar, V. Soni, D. Choudhuri, R.V. Ramanujan, and R. Banerjee, Laser Additive Processing of Ni-Fe-V and Ni-Fe-Mo Permalloys: Microstructure and Magnetic Properties, Mater. Lett., 2017, 192, p 9-11
V. Raposo, M. Zazo, A.G. Flores, J. Garcia, V. Vega, J. Iñiguez, and V.M. Prida, Ferromagnetic Resonance in Low Inter-acting Permalloy Nanowire Arrays, J. Appl. Phys., 2016, 119(14), p 1-5
B. Zhang, N.-E. Fenineche, L. Zhu, H. Liao, and C. Coddet, Studies of Magneticproperties of Permalloy (Fe-30% Ni) Prepared by SLM Technology, J. Magn. Magn. Mater., 2012, 324(4), p 495-500
Y. Gao, B. Luo, K. He, W. Zhang, and Z. Bai, Effect of Fe/Ni Ratio on the Microstructure and Properties of WC-Fe-Ni-Co Cemented Carbides, Ceram. Int., 2018, 44(2), p 2030-2041
P. Zhou, Y. Du, and W. Lengauer, Morphology of η Phase in Cemented Carbides with Fe-based Binders Influenced by Carbon Content and Nitrogen Atmosphere, Ceram. Int., 2019, 45(16), p 20774-20779
N.G. Hashe, J.H. Neethling, P.R. Berndt, H.-O. Andrén, and S. Norgren, A Comparison of the Microstructures of WC-VC-TiC-Co and WC-VC-Co Cemented Carbides, Int. J. Refract. Met. Hard Mater., 2007, 25(3), p 207-213
J. Vovrosh, G. Voulazeris, P.G. Petrov, J. Zou, Y. Gaber, L. Benn, D. Woolger, M.M. Attallah, V. Boyer, K. Bongs, and M. Holynski, Additive Manufacturing of Magnetic Shielding and Ultra-high Vacuum Flange for Cold Atom Sensors, Sci. Rep., 2018, 8(1), p 1-10
A. B. Kustas, D. F. Susan, K. L. Johnson, S. R. Whetten, M. A. Rodriguez, D. J. Dagel, J. R. Michael, D. M. Keicher, and N. Argibay, Characterization of the Fe-Co-1.5 V Soft Ferromagnetic Alloy Processed by Laser Engineered Net Shaping (LENS), Addit. Manuf., 2018, 21, p 41-52
C. Zhao, Y. Yang, Y. Lu, Y. Guo, C. Wang, and X. Liu, Experimental Investigation and Thermodynamic Calculation of the Phase Equilibria in the Fe-Ni-V system, Calphad, 2014, 46, p 80-86
J.O. Andersson, L. Höglund, B. Jönsson, J. Ågren, and C.R. Purdy, Ed., Fundamentals and Applications of Ternary Diffusion, Pergamon Press, New York, 1990, p 153-163
Y. Liu, C. Chen, D. Liu, Y. Du, S. Liu, and X. Tao, Diffusivities and Atomic Mobilities for fcc Cu-Ni-Sn Alloys, Calphad, 2017, 59, p 84-89
D.P. Whittle and A. Green, The Measurement of Diffusion Coefficients in Ternary Systems, Scripta Mater., 1974, 8, p 883-884
J.S. Kirkaldy and J.E. Lane, Diffusion in Multicomponent Metallic Systems. IX. Intrinsic Diffusion Behavior and the Kirkendall Effect in Ternary Substitutional Solutions, Can. J. Phys., 1966, 44, p 2159-2172
A. Paul, T. Laurila, V. Vuorinen, and S. Divinski, Thermodynamics, Diffusion and the Kirkendall Effect in Solids, Springer, Inter-national Publishing, 2014, p 248-249.
B. Jönsson, Mobilities in Fe-Ni alloys. Assessment of the Mobilities of Fe and Ni in fcc. Fe-Ni Alloys, Scand. J. Metall., 1994, 23, p 201-208
J.O. Andersson and J. Ågren, Models for Numerical Treatment of Multicomponent Diffusion in Simple Phases, J. Appl. Phys., 1992, 72(4), p 1350-1355
O. Redlich and A.T. Kister, Thermodynamics of Nonelectrolytic Solutions. Algebraic Representation of Thermodynamic Properties and the Classification of Solutions, J. Ind. Eng. Chem., 1948, 40, p 345-348
A. Einstein, On the Movement of Small Particles Suspend in Stationary Liquids Required by the Molecular-kinetic Theory of Heat, Ann. Physik., 1905, 17, p 549-560
L. Onsager, Theories and Problems of Liquid Diffusion, Ann. N. Y. Acad. Sci., 1945, 46, p 241-265
Y. Liu, D. Liu, Y. Du, S. Liu, D. Kuang, P. Deng, J. Zhang, and C. Du, Calculated Inter-diffusivities Resulting from Different Fitting Functions Applied to Measured Concentration Profiles in Cu-rich fcc Cu-Ni-Sn Alloys at 1073 K, J. Min. Metall. Sect. B Metall., 2017, 53(3), p 255-262
J. Lechelle, S. Noyau, L. Aufore, A. Arredondo, and E. Audubert, Volume Interdiffusion Coefficient and Uncertainty Assessment for Polycrystalline Materials, Diffus. Fundam. Org., 2012, 17, p 1-39
J. Goldstein, R. Hanneman, and R. Ogilvie, Diffusion in the Fe-Ni System at 1 Atm and 40 Kbar Pressure (Interdiffusion Coefficients for Fe-Ni alloy as Function of Composition in Alpha and Gamma Phases at 1 Atm and 40 Kbar Pressure), Trans. AIME, 1965, 233, p 812-820
T. Ustad and H. Sørum, Interdiffusion in the Fe-Ni, Ni-Co, and Fe-Co Systems, Phys. Stat. Solidi. A, 1973, 20(1), p 285-294
Y. Nakagawa, Y. Tanji, H. Morita, H. Hiroyoshi, and H. Fujimord, Virtual Miscibility Gap and Interdiffusion Coefficient in Iron-nickel Invar Alloys, J. Magn. Magn. Mater., 1979, 10, p 145-151
C. Wells and R. Mehl, Rate of Diffusion of Nickel in Gamma Iron in Low-Carbon and High-Carbon Nickel Steels, Trans. Aime., 1941, 145, p 329-338
A. Davin, V. Leroy, D. Coutsouradis, and L. Habraken, Comparison of the Diffusion of Some Substitution Elements in Nickel and Cobalt, Cobalt, 1963, 19, p 51-56
V. Khlomov, V. Pimenov, Y. Ugaste, and K. Gurov, Study of Mutual Diffusion in Nickel-Vanadium System, Fiz. Met. Metal., 1978, 46, p 668-671
M. Liu, L. Zhang, W. Chen, J. Xin, and H. Xu, Diffusivities and Atomic Mobilities in fcc_A1 Ni-X (X= Ge, Ti and V) Alloys, Calphad, 2013, 41, p 108-118
A.W. Bowen and G.M. Leak, Solute Diffusion in Alpha-and Gamma-iron, Metall. Trans., 1970, 1, p 1695-1700
J. Zhang, Y. Liu, Y. Du, S. Liu, and J. Wang, Interdiffusion and Atomic Mobilities of fcc Co-V-Mo Alloys: Measurement and Modeling, J. Phase Equilib. Diffus., 2018, 39(5), p 623-634
S. Wen, Y. Du, Y. Liu, P. Zhou, and Z. Liu, Atomic Mobility Evaluation and Diffusion Matrix for fcc_A1 Co-V-W Alloys, J. Mater. Sci., 2019, 54, p 13420-13432
H. Liu, Y. Liu, Y. Du, Q. Min, J. Zhang, and S. Liu, Atomic Mobilities and Diffusivities in fcc Co-X (X= Mn, Pt and Re) Alloys, Calphad, 2019, 64, p 306-312
C. Du, Z. Zheng, Q. Min, Y. Du, Y. Liu, P. Deng, J. Zhang, S. Wen, and D. Liu, A Novel Approach to Calculate Diffusion Matrix in Ternary Systems: Application to Ag-Mg-Mn and Cu-Ni-Sn Systems, Calphad, 2020, 68, p 1-12
Acknowledgments
This work was supported by the National Natural Science Foundation of China (No. 51701072), and Natural Science Foundation of Hunan Province, China (No. 2017JJ3088).
Author information
Authors and Affiliations
Corresponding authors
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
This invited article is part of a special tribute issue of the Journal of Phase Equilibria and Diffusion dedicated to the memory of Günter Effenberg. The special issue was organized by Andrew Watson, Coventry University, Coventry, United Kingdom; Svitlana Iljenko, MSI, Materials Science International Services GmbH, Stuttgart, Germany; and Rainer Schmid-Fetzer, Clausthal University of Technology, Clausthal-Zellerfield, Germany.
Rights and permissions
About this article
Cite this article
Liu, H., Wen, S., Liu, Y. et al. Diffusivity and Atomic Mobility in fcc Ni-Fe-V System: Experiment and Modeling. J. Phase Equilib. Diffus. 41, 550–566 (2020). https://doi.org/10.1007/s11669-020-00824-2
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11669-020-00824-2