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Theoretical evidence of the compositional threshold behavior of FeCr surfaces

M. Ropo1,2, K. Kokko1, M. P. J. Punkkinen1, S. Hogmark3, J. Kollár4, B. Johansson5,6,7, and L. Vitos4,5,6

  • 1Department of Physics, University of Turku, FIN-20014 Turku, Finland
  • 2Graduate School of Materials Research, Turku, Finland
  • 3Department of Materials Science, Uppsala University, SE-751 21 Uppsala, Box 534, Sweden
  • 4Research Institute for Solid State Physics and Optics, P. O. Box 49, H-1525 Budapest, Hungary
  • 5Applied Materials Physics, Department of Materials Science and Engineering, Royal Institute of Technology, SE-10044 Stockholm, Sweden
  • 6Condensed Matter Theory Group, Physics Department, Uppsala University, SE-75121 Uppsala, Box 530, Sweden
  • 7School of Physics and Optoelectronic Technology & College of Advanced Science and Technology, Dalian University of Technology, Dalian 116024, China

Phys. Rev. B 76, 220401(R) – Published 3 December, 2007

DOI: https://doi.org/10.1103/PhysRevB.76.220401

Abstract

Using first-principles quantum-mechanical theory, we demonstrate that the surface chemistry of Fe-Cr alloys follows the peculiar threshold behavior characteristic of ferritic stainless steels. We find that in dilute alloys the surfaces are covered exclusively by Fe, whereas for bulk Cr concentration above 10% the Cr-containing surfaces become favorable. The two distinctly dissimilar surface regimes appear as a consequence of two competing magnetic effects: the magnetically induced immiscibility in bulk Fe-Cr alloys and the stability of magnetic surfaces.

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References (38)

  1. P. Monnartz, Metallurgie (Halle) 8, 161 (1911).
  2. G. Wranglén, An Introduction to Corrosion and Protection of Metals (Chapman and Hall, New York, 1985).
  3. H. H. Uhlig, Z. Elektrochem. 62, 626 (1958).
  4. P. F. King and H. H. Uhlig, J. Phys. Chem. 63, 2026 (1959).
  5. G. T. Burstein and P. I. Marshall, Corros. Sci. 24, 449 (1984).
  6. E. Park, B. Hüning, and M. Spiegel, Appl. Surf. Sci. 249, 127 (2005).
  7. J. R. Lince, S. V. Didziulis, D. K. Shuh, T. D. Durbin, and J. A. Yarmoff, Surf. Sci. 277, 43 (1992).
  8. K. R. Sieradzki and C. A. Newman, J. Electrochem. Soc. 133, 1979 (1986).
  9. D. E. Williams, R. C. Newman, Q. Song, and R. G. Kelly, Nature (London) 350, 216 (1991).
  10. B. Nonas, K. Wildberger, R. Zeller, and P. H. Dederichs, Phys. Rev. Lett. 80, 4574 (1998).
  11. S. Suzuki, T. Kosaka, H. Inoue, M. Isshiki, and Y. Waseda, Appl. Surf. Sci. 103, 495 (1996).
  12. W. T. Geng, Phys. Rev. B 68, 233402 (2003).
  13. A. V. Ruban, H. L. Skriver, and J. K. Norskov, Phys. Rev. B 59, 15990 (1999).
  14. A. V. Ponomareva, E. I. Isaev, N. V. Skorodumova, Yu. Kh. Vekilov, and I. A. Abrikosov, Phys. Rev. B 75, 245406 (2007).
  15. There is one exception (Ref. [10]), where the authors obtained a weak Cr segregation to the FeCr surface. However, the reported segregation energy seems to be too small to overcome the entropy term at room temperature or above (Ref. [12]).

  16. R. Peraldi and B. A. Pint, Oxid. Met. 61, 463 (2004); H. E. Evans, A. T. Donaldson, and T. C. Gilmour, ibid. 52, 379 (1999); G. S. Was et al., J. Nucl. Mater. 270, 96 (1999).
  17. L. Vitos, I. A. Abrikosov, and B. Johansson, Phys. Rev. Lett. 87, 156401 (2001).
  18. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).
  19. J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).
  20. L. Vitos, P. A. Korzhavyi, and B. Johansson, Nat. Mater. 2, 25 (2003).
  21. L. Dubrovinsky et al., Nature (London) 422, 58 (2003).
  22. M. Aldén, H. L. Skriver, S. Mirbt, and B. Johansson, Surf. Sci. 315, 157 (1994).
  23. R. Hafner, D. Spisak, R. Lorenz, and J. Hafner, Phys. Rev. B 65, 184432 (2002).
  24. R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, and K. K. Kelley, Selected Values of the Thermodynamic Properties of Binary Alloys (American Society for Metals, Metals Park, OH, 1973), pp. 694–703.
  25. P. Olsson, I. A. Abrikosov, and J. Wallenius, Phys. Rev. B 73, 104416 (2006).
  26. P. Olsson, I. A. Abrikosov, L. Vitos, and J. Wallenius, J. Nucl. Mater. 321, 84 (2003).
  27. L. Vitos, A. V. Ruban, H. L. Skriver, and J. Kollár, Surf. Sci. 411, 186 (1998).
  28. M. Aldén, H. L. Skriver, and S. Mirbt, B. Johansson, Phys. Rev. Lett. 69, 2296 (1992).
  29. M. Ropo, K. Kokko, L. Vitos, J. Kollár, and B. Johansson, Surf. Sci. 600, 904 (2006).
  30. M. Ropo, Phys. Rev. B 74, 195401 (2006).
  31. The EMTO basis set included s, p, d, and f orbitals, the 3d and 4s electrons of Fe and Cr were treated as valence electrons, and the core states were recalculated after each iteration. Calculations were performed for bulk concentration c=0.00.25 with a step of 5%, except near the threshold (between 5% and 15%), where a denser mesh was used. For each concentration, the lattice constant was fixed to the theoretically determined bulk value. The irreducible part of the two- (three-) dimensional Brillouin zones was sampled using 230 (12 000) k vectors.

  32. P. Soven, Phys. Rev. 156, 809 (1967).
  33. B. L. Györffy, Phys. Rev. B 5, 2382 (1972).
  34. M. Yu. Lavrentiev, R. Drautz, D. Nguyen-Manh, T. P. C. Klaver, and S. L. Dudarev, Phys. Rev. B 75, 014208 (2007).
  35. T. P. C. Klaver, R. Drautz, and M. W. Finnis, Phys. Rev. B 74, 094435 (2006).
  36. B. Fultz, L. Anthony, J. L. Robertson, R. M. Nicklow, S. Spooner, and M. Mostoller, Phys. Rev. B 52, 3280 (1995).
  37. G. J. Ackland, Phys. Rev. Lett. 97, 015502 (2006).
  38. P. Olsson, C. Domain, and J. Wallenius, Phys. Rev. B 75, 014110 (2007).

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