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Part A: Materials Science

Pseudo-binary and pseudo-ternary diffusion couple methods for estimation of the diffusion coefficients in multicomponent systems and high entropy alloys

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Pages 2236-2264 | Received 25 Jan 2019, Accepted 08 May 2019, Published online: 25 May 2019

References

  • L. Onsager, Reciprocal relations in irreversible processes. I. Phys. Rev. 37 (1931), pp. 405–426. doi: 10.1103/PhysRev.37.405
  • L. Onsager, Reciprocal relations in irreversible processes. II. Phys. Rev. 38 (1931), pp. 2265–2279. doi: 10.1103/PhysRev.38.2265
  • A. Paul, T. Laurila, V. Vuorinen, and S.V. Divinski, Thermodynamics, Diffusion and the Kirkendall Effect in Solids, Springer International Publishing, Cham, 2014.
  • A. Paul and S. Divinski (eds.), Handbook of Solid State Diffusion: Volume 1: Diffusion Fundamentals and Techniques, Elsevier, Amsterdam, The Netherlands, 2017.
  • B.S. Murty, J.W. Yeh and S. Ranganathan, High-entropy Alloys, Butterworth-Heinemann, Oxford, UK, 2014.
  • D.B. Miracle and O.N. Senkov, A critical review of high entropy alloys and related concepts. Acta Mater. 122 (2017), pp. 448–511. doi: 10.1016/j.actamat.2016.08.081
  • O.N. Senkov, D.B. Miracle, K.J. Chaput and J.-P. Couzinie, Development and exploration of refractory high entropy alloys—A review. J. Mater. Res. 33 (2018), pp. 3092–3128. doi: 10.1557/jmr.2018.153
  • A. Paul, A pseudobinary approach in multicomponent interdiffusion and the Kirkendall effect in multicomponent systems. Philos. Mag. 93 (2013), pp. 2297–2315. doi: 10.1080/14786435.2013.769692
  • N. Esakkiraja and A. Paul, A novel concept of pseudo ternary diffusion couple for the estimation of diffusion coefficients in multicomponent systems. Scr. Mater. 147 (2018), pp. 79–82. doi: 10.1016/j.scriptamat.2018.01.002
  • P. Kiruthika and A. Paul, A pseudo-binary interdiffusion study in the β-Ni(Pt)Al phase. Philos. Mag. Lett. 95 (2015), pp. 138–144. doi: 10.1080/09500839.2015.1020904
  • P. Kiruthika, S.K. Makineni, C. Srivastava, K. Chattopadhyay and A. Paul, Growth mechanism of the interdiffusion zone between platinum modified bond coats and single crystal superalloys. Acta Mater. 105 (2016), pp. 438–448. doi: 10.1016/j.actamat.2015.12.014
  • K.Y. Tsai, M.H. Tsai and J.W. Yeh, Sluggish diffusion in Co–Cr–Fe–Mn–Ni high-entropy alloys. Acta Mater. 61 (2013), pp. 4887–4897. doi: 10.1016/j.actamat.2013.04.058
  • S. Tripathi, V. Verma, T.W. Brown and K.N. Kulkarni, Effect of small amount of manganese on the interdiffusivities in Fe-Al alloys. J. Phase Equilib. Diffus. 38 (2017), pp. 135–142. doi: 10.1007/s11669-017-0529-8
  • M. Vaidya, G. Mohan Muralikrishna, S.V. Divinski and B.S. Murty, Experimental assessment of the thermodynamic factor for diffusion in CoCrFeNi and CoCrFeMnNi high entropy alloys. Scr. Mater. 157 (2018), pp. 81–85. doi: 10.1016/j.scriptamat.2018.07.040
  • A. Paul, Comments on “sluggish diffusion in Co–Cr–Fe–Mn–Ni high-entropy alloys” by K.Y. Tsai, M.H. Tsai and J.W. Yeh. Acta Mater. 61 (2013), pp. 4887–4897. Scripta Mater. 135 (2017), pp. 153–157. doi: 10.1016/j.actamat.2013.04.058
  • S.V. Divinski, A.V. Pokoev, N. Esakkiraja and A. Paul, A Mystery of “sluggish diffusion” in high-entropy alloys: The Truth or a Myth? Diff. Found. 17 (2018), pp. 69–104. doi: 10.4028/www.scientific.net/DF.17.69
  • S. Santra and A. Paul, Role of the molar volume on estimated diffusion coefficients. Metall. Mater. Trans. A 46 (2015), pp. 3887–3899. doi: 10.1007/s11661-015-2988-z
  • F. Sauer and V. Freise, Diffusion in binären Gemischen mit Volumenänderung. Z. Elektrochemie 66 (1962), pp. 353–362.
  • V.A. Baheti and A. Paul, Development of different methods and their efficiencies for the estimation of diffusion coefficients following the diffusion couple technique. Acta Mater. 156 (2018), pp. 420–431. doi: 10.1016/j.actamat.2018.04.051
  • S.B. Jung, T. Yamane, Y. Minamino, K. Hirao, H. Araki and S. Saji, Interdiffusion and its size effect in nickel solid solutions of Ni-Co, Ni-Cr and Ni-Ti systems. J. Mater. Sci. Lett. 11 (1992), pp. 1333–1337. doi: 10.1007/BF00729354
  • F.J.J. van Loo, On the determination of diffusion coefficients in a binary metal system. Acta Metall. 18 (1970), pp. 1107–1111. doi: 10.1016/0001-6160(70)90009-X
  • C. Ghosh and A. Paul, A physico-chemical approach in binary solid-state interdiffusion. Acta Mater. 55 (2007), pp. 1927–1939. doi: 10.1016/j.actamat.2006.10.051
  • H. Bakker, J. Backus and F. Waals, A curvature in the arrhenius plot for the diffusion of iron in single crystals of nickel in the temperature range from 1200 to 1400°C. Phys. Status Solidi B 45 (1971), pp. 633–638. doi: 10.1002/pssb.2220450227
  • A.B. Vladimirov, V.N. Kaygorodov, S.M. Klotsman and I.S. Trakhtenberg, Bulk diffusion of cobalt and tungsten in nickel. Phys. Met. Metallogr. 46 (1978), pp. 94–101.
  • A.D. LeClaire and G. Neumann, Ni group metals, in Diffusion in Solid Metals and Alloys, H. Mehrer, ed., Springer, Heidelberg, 1990. pp. 132–136.
  • K.-Y. Tsai, M.-H. Tsai and J.-W. Yeh, Reply to comments on “sluggish diffusion in Co-Cr-Fe-Mn-Ni high-entropy alloys”. Scr. Mater. 135 (2017), pp. 158–159. doi: 10.1016/j.scriptamat.2017.03.028
  • K. Kulkarni and G.P.S. Chauhan, Investigations of quaternary interdiffusion in a constituent system of high entropy alloys. AIP. Adv. 5 (2015), p. 097162. doi: 10.1063/1.4931806
  • D. Gaertner, K. Abrahams, J. Kottke, V.A. Esin, I. Steinbach, G. Wilde and S.V. Divinski, Concentration-dependent atomic mobilities in FCC CoCrFeMnNi high-entropy alloys. Acta Mater. 166 (2019), pp. 357–370. doi: 10.1016/j.actamat.2018.12.033
  • D.L. Beke and G. Erdélyi, On the diffusion in high-entropy alloys. Mater. Lett. 164 (2016), pp. 111–113. doi: 10.1016/j.matlet.2015.09.028
  • W. Kucza, J. Dąbrowa, G. Cieślak, K. Berent, T. Kulik and M. Danielewski, Studies of “sluggish diffusion” effect in Co-Cr-Fe-Mn-Ni, Co-Cr-Fe-Ni and Co-Fe-Mn-Ni high entropy alloys; determination of tracer diffusivities by combinatorial approach. J. Alloys Compd. 731 (2018), pp. 920–928. doi: 10.1016/j.jallcom.2017.10.108
  • W. Chen and L. Zhang, High-Throughput determination of interdiffusion coefficients for Co-Cr-Fe-Mn-Ni high-entropy alloys. J. Phase Equilib. Diffus. 38 (2017), pp. 457–465. doi: 10.1007/s11669-017-0569-0
  • B. Uzer, S. Picak, J. Liu, T. Jozaghi, D. Canadinc, I. Karaman, Y.I. Chumlyakov and I. Kireeva, On the mechanical response and microstructure evolution of NiCoCr single crystalline medium entropy alloys. Mater. Res. Let. 6 (2018), pp. 442–449. doi: 10.1080/21663831.2018.1478331
  • Z. Zhang, H. Sheng, Z. Wang, B. Gludovatz, Z. Zhang, E.P. George, Q. Yu, S.X. Mao and R.O. Ritchie, Dislocation mechanisms and 3D twin architectures generate exceptional strength-ductility-toughness combination in CrCoNi medium-entropy alloy. Nat. Commun. 8 (2017), p. 14390. doi: 10.1038/ncomms14390
  • M.T. Tsai, J.C. Huang, P.H. Lin, T.Y. Liu, Y.C. Liao, J.S.C. Jang, S.X. Song and T.G. Nieh, Creep of face-centered-cubic {111} and {100} grains in FeCoNiCrMn and FeCoNiCrMnAl alloys: Orientation and solid solution effects. Intermetallics 103 (2018), pp. 88–96. doi: 10.1016/j.intermet.2018.10.006
  • V.D. Divya, U. Ramamurty and A. Paul, Interdiffusion and solid solution strengthening in Ni–Co–Pt and Ni–Co–Fe ternary systems. Philos. Mag. 93 (2013), pp. 2190–2206. doi: 10.1080/14786435.2013.765987
  • J.S. Kirkaldy, Diffusion in multicomponent metallic systems. Can. J. Phys. 35 (1957), pp. 435–440. doi: 10.1139/p57-047
  • J.S. Kirkaldy and D.J. Young, Diffusion in The Condensed State, Institute of Metals United Kingdom 35, 1987.
  • R.T. DeHoff and N. Kulkarni, The trouble with diffusion. Mater. Res. 5 (2002), pp. 209–229. doi: 10.1590/S1516-14392002000300002
  • M.S. Thompson and J.E. Morral, The effect of composition on interdiffusion in ternary alloys. Acta Metall. 34 (1986), pp. 339–346. doi: 10.1016/0001-6160(86)90205-1
  • F.J.J. Loo, G.F. Bastin and J.W.G.A. Vrolijk, A practical solution for the diffusion equations in binary and multicomponent systems with constant intrinsic diffusion coefficients. Metall. Mater. Trans. A 18 (1987), pp. 801–809. doi: 10.1007/BF02646922
  • K.J. Rönkä, A.A. Kodentsov, P.J.J. Van Loon, J.K. Kivilahti and F.J.J. Van Loo, Thermodynamic and kinetic study of diffusion paths in the system Cu-Fe-Ni. Metall. Mater. Trans. A 27 (1996), pp. 2229–2238. doi: 10.1007/BF02651877
  • Y.E. Ugaste, A.A. Kodentsov and J. Priimets, Investigation of interdiffusion and kirkendall effect in the Co-Ni-Fe system: III. Dependence of diffusion parameters on the initial conditions. Phys. Met. Metallogr. 110 (2010), pp. 485–491. doi: 10.1134/S0031918X10110086
  • M.A. Dayananda and Y.H. Sohn, A new analysis for the determination of ternary interdiffusion coefficients from a single diffusion couple. Metall. Mater. Trans. A 30 (1999), pp. 535–543. doi: 10.1007/s11661-999-0045-5

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