Embedded Atom Potential for BCC Iron

  • Ralph J. Harrison
  • Arthur F. Voter
  • Shao-Ping Chen

Abstract

We have used the embedded atom method (EAM)1–4 to construct interatomic potentials for use with BCC iron. Our original motivation for this work was to model the grain boundaries in iron5. The version of the EAM we have used is essentially the same as that described in references 3 and 4, where the total energy was given as the sum of two body terms summed over pairs of atoms i,j, together with an embedding term given by the sum of embedding functions whose arguments are the total electronic charge density at the sites i.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M.S. Daw and M.I. Baskes, Phys. Rev. B29:6443 (1984).Google Scholar
  2. 2.
    S.M. Foiles and M.S. Daw, J. Mater. Res. 2:5 (1987).CrossRefGoogle Scholar
  3. 3.
    S.P. Chen, A.F. Voter, D.J. Srolovitz, Phys. Rev. Letters 57:1308 (1986).CrossRefGoogle Scholar
  4. 4.
    A.F. Voter and S.P. Chen, Mater. Res. Soc. Svmp. 82, 175 (1987).CrossRefGoogle Scholar
  5. 5.
    An account of some results obtained with a preliminary version of this potential was presented at the 34th Sagamore Army Materials Research Conference, Sept. 1987. (Proceedings to be published by Plenum Press, 1988).Google Scholar
  6. 6.
    J.H. Rose, J.R. Smith, F. Guinea, J. Ferrante, Phys. Rev. B29:2963 (1984).Google Scholar
  7. 7.
    J.H. Rose, J.R. Smith, J. Ferrante, Phys. Rev. B28:1835 (1983).Google Scholar
  8. 8.
    J.R. Smith, J. Ferrante, J.G. Gay, R. Richter, J.H. Rose, in “Chemistry and Physics of Fracture”, R.H. Jones and R.M. Latanision, eds. (Martinus Nyhoff, Hingham, MA, 1987), p. 329.Google Scholar
  9. 9.
    J.A. Nelder and R. Mead, Comp. J. 7:308 (1965).Google Scholar
  10. 10.
    G. Krasko and G.B. Olson, “Energetics of BCC-FCC Phase Transformation in Iron”, to be published in Materials Research Society Symposium 1988, on Atomic Scale Calculations in Materials Science.Google Scholar
  11. 11.
    K. Cheung and S. Yip, Private Communication.Google Scholar
  12. 12.
    M. Parinello and A. Rahman, J. Appl Phys. 52:7182 (1981).CrossRefGoogle Scholar
  13. 13.
    R. Najafabadi and S. Yip, Scripta Met. 17:1199 (1983) carried out a simulation of the Bain transformation by the Monte Carlo technique using the Johnson I iron potential (R.A. Johnson, Phys. Rev. 134A:1332 (1964).CrossRefGoogle Scholar
  14. 14.
    L. Kaufman and H. Bernstein, Computer Calculations of Phase Diagrams, Academic Press, New York (1970), indicate from extrapolation to low temperatures, at high pressures, the hcp phase of iron may be more stable than the fcc phase.Google Scholar
  15. 15.
    M.W. Finnis and J.E. Sinclair, Phil. Mag. A 50:45 (1984).CrossRefGoogle Scholar
  16. 16.
    C.C. Matthai and D.J. Bacon, Phil. Mag. A, 52:1(1985).CrossRefGoogle Scholar
  17. 17.
    J.M. Harder and D.J. Bacon, Phil. Mag. A, 58:165 (1988).CrossRefGoogle Scholar
  18. 18.
    J.A. Rayne and B.S. Chandresekhar, Phys. Rev. 122:1714 (1961).CrossRefGoogle Scholar
  19. 19.
    L. De Schepper, D. Segers, L. Dorikens-Vanpraet, M. Dorikens, G. Knuyt, L.M. Stals and P. Moser, Phys. Rev. B27:5257 (1983).Google Scholar

Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • Ralph J. Harrison
    • 1
  • Arthur F. Voter
    • 2
  • Shao-Ping Chen
    • 2
  1. 1.Materials Reliability DivisionU.S. Army Materials Technology LaboratoryWatertownUSA
  2. 2.Theoretical DivisionLos Alamos National LaboratoryLos AlamosUSA

Personalised recommendations