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The effect of stress on surface and interface segregation in thin alloy films on inert substrates

  • Leonid Klinger
  • Jiangyong Wang
  • Eugen RabkinEmail author
Metals & corrosion
  • 20 Downloads

Abstract

We employed a regular solution-type model to describe the equilibrium segregation of solute atoms on the external surface and at the film–substrate interface in the ultrathin single-crystalline films of binary metal alloys attached to an inert substrate. The finite size of the system, the interlayer interactions in the film and the heteroepitaxial strain in the film were taken into account. We demonstrated that the homogeneous heteroeptiaxial strain in the film affects the surface and interface segregation of solute atoms only in the case when the value of coherency strain parameter (describing the relative change of alloy lattice parameter upon addition of solutes) in the surface and interface layers is different from its value in the rest of the films. The developed model was applied to the Ni(Au) thin films deposited on sapphire substrate. The quantitative agreement between the model predictions and recent experimental data on interface segregation of Au could be achieved by assuming that the film is heteroepitaxially compressed.

Notes

Acknowledgements

This work was supported by the Joint ISF-NSFC Research Program, jointly funded by the Israel Science Foundation (Grant No. 2233/15) and National Natural Science Foundation of China (Grant No. 51511140420). Helpful discussions with Dr. Nimrod Gazit and Ms Hagit Barda are heartily appreciated.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

References

  1. 1.
    Blakley JM (1978) Segregation to surfaces: dilute alloys of the transition metals. Crit Rev Solid State Mater Sci 7:333–355CrossRefGoogle Scholar
  2. 2.
    Xu L, Xian F, Zhang Y, Zhang L (2019) Surface segregation of Ag and its effect on the microstructure, optical properties and conduction type of ZnO thin films. Physica B Condens Matter 566:103–115CrossRefGoogle Scholar
  3. 3.
    Barda H, Rabkin E (2019) Improving the thermal stability of nickel thin films on sapphire by a minor alloying addition of gold. Appl Surf Sci 484:1070–1079.  https://doi.org/10.1016/J.APSUSC.2019.04.176 CrossRefGoogle Scholar
  4. 4.
    Ciesielskia A, Skowronski L, Trzcinski M, Górecka E, Trautman P, Szoplik T (2018) Evidence of germanium segregation in gold thin films. Surf Sci 674:73–78CrossRefGoogle Scholar
  5. 5.
    Brown JA, Mishin Y (2004) Effect of surface stress on Ni segregation in (110) NiAl thin films. Phys Rev B 69:195407CrossRefGoogle Scholar
  6. 6.
    Williams FL, Nason D (1974) Binary alloy surface compositions from bulk alloy thermodynamic data. Surf Sci 45:377–408CrossRefGoogle Scholar
  7. 7.
    Swaminarayan S, Srolovitz DJ (1996) Surface segregation in thin films. Acta Mater 44:2067–2072CrossRefGoogle Scholar
  8. 8.
    Cs Cserati, Szabo IA, Beke DL (1998) Size effect in surface segregation. J Appl Phys 83:3021–3027CrossRefGoogle Scholar
  9. 9.
    Pirart J, Front A, Rapetti D, Andreazza-Vignolle C, Andreazza P, Mottet C, Ferrando R (2019) Reversed size-dependent stabilization of ordered nanophases. Nat Commun 10:1982.  https://doi.org/10.1038/s41467-019-09841-3 CrossRefGoogle Scholar
  10. 10.
    Kumar A, Barda H, Klinger L, Finnis MW, Lordi V, Rabkin E, Srolovitz DJ (2018) Anomalous diffusion along metal/ceramic interfaces. Nat Commun 9:5251CrossRefGoogle Scholar
  11. 11.
    Wynblatt P, Chatain D (2006) Anisotropy of segregation at grain boundaries and surfaces. Metall Mater Trans 37A:2595–2620CrossRefGoogle Scholar
  12. 12.
    Lejček P (2013) Effect of ternary solute interaction on interfacial segregation and grain boundary embrittlement. J Mater Sci 48:4965–4972.  https://doi.org/10.1007/s10853-013-7280-2 CrossRefGoogle Scholar
  13. 13.
    Barda H, Rabkin E (2019) Metal hetero-diffusion along the metal-ceramic interfaces: a case study of Au diffusion along the Ni-sapphire interface. Acta Mater (under review)Google Scholar
  14. 14.
    Lee YW, Aaronson HI (1980) Anisotropy of coherent interphase boundary energy. Acta Metall 28:539–548CrossRefGoogle Scholar
  15. 15.
    Cahn JW (1961) On spinodal decomposition. Acta Metall 9:795–801CrossRefGoogle Scholar
  16. 16.
    Cahn JW (1962) On spinodal decomposition in cubic crystals. Acta Metall 10:179–183CrossRefGoogle Scholar
  17. 17.
    Wynblatt P, Ku RC (1977) Surface energy and solute strain energy effects in surface segregation. Surf Sci 65:511–531CrossRefGoogle Scholar
  18. 18.
    Meltzman H, Mordehai D, Kaplan WD (2012) Solid-solid interface reconstruction at equilibrated Ni–Al2O3 interface. Acta Mater 60:4359–4369CrossRefGoogle Scholar
  19. 19.
    Kovalenko O, Rabkin E (2015) Mechano-stimulated equilibration of gold nanoparticles on sapphire. Scr Mater 107:149–152CrossRefGoogle Scholar
  20. 20.
    Steigerwald DA, Miller SJ, Wynblatt P (1985) Anisotropy of surface composition in a Ni–Au alloy. Surf Sci 155:79–100.  https://doi.org/10.1016/0039-6028(85)90406-6 CrossRefGoogle Scholar
  21. 21.
    Johnson WC, Chavka NG, Ku R, Bomback JL, Wynblatt P (1978) Orientation dependence of surface segregation in a dilute Ni–Au alloy. J Vac Sci Technol 15:467–469.  https://doi.org/10.1116/1.569593 CrossRefGoogle Scholar
  22. 22.
    Lam NQ, Hoff HA, Régnier PG (1985) Sputter-induced compositional modifications in a Ni–Au alloy. J Nucl Mater 133–134:427–429.  https://doi.org/10.1016/0022-3115(85)90182-5 CrossRefGoogle Scholar
  23. 23.
    Kelley MJ, Gilmour PW, Swartzfager DG (1980) Strain effects in surface segregation—the Au/Ni system. J Vac Sci Technol 17:634–637.  https://doi.org/10.1116/1.570529 CrossRefGoogle Scholar
  24. 24.
    Wang J, Lu X-G, Sundman B, Su X (2005) Thermodynamic assessment of the Au–Ni system. Calphad 29:263–268CrossRefGoogle Scholar
  25. 25.
    Amram D, Barlam D, Rabkin E, Shneck RZ (2016) Coherency strain reduction in particles on a substrate as a driving force for solute segregation. Scr Mater 122:89–92CrossRefGoogle Scholar
  26. 26.
    Amram D, Rabkin E (2014) Core (Fe)–Shell (Au) nanoparticles obtained from thin Fe/Au bilayers employing surface segregation. ACS Nano 8:10687–10693CrossRefGoogle Scholar
  27. 27.
    Kovalenko O, Chikli FO, Rabkin E (2016) The equilibrium crystal shape of iron. Scr Mater 123:109–112CrossRefGoogle Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Materials Science and EngineeringTechnion – Israel Institute of TechnologyHaifaIsrael
  2. 2.Department of PhysicsShantou UniversityShantouChina

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