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Angular-Dependent Many-Atom Bond-Order Potentials

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Book cover Interatomic Potential and Structural Stability

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 114))

Abstract

The state-of-the-art many-atom potentials for the bond order, which are derived within tight binding Hückel theory, are shown to be promising tools in modeling of the structural properties of materials. Explicit angular dependence of these potentials is naturally derived on the theoretical basis of the exact many-atom expansion theorem for the bond order. It is shown that a good convergence is achieved by satisfying a sum rule for the intersite Green’s function.

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References

  1. Aiomistic Simulation of Materials, edited by V. Vitek and D.J. Srolovitz, (Plenum, New York, 1989).

    Google Scholar 

  2. M.S. Daw and M.I. Baskes, Phys. Rev. B 29, 6443 (1984).

    Article  CAS  Google Scholar 

  3. M.S. Daw, Phys. Rev. B 39, 7441 (1989).

    Article  Google Scholar 

  4. J. Tersoff, Phys. Rev. B 37, 6991 (1988); Phys. Rev. B 38, 9902 (1988).

    Article  Google Scholar 

  5. F. Stilinger and T. Weber, Phys. Rev. B 31, 5262 (1985).

    Article  Google Scholar 

  6. J.A. Moriarty, Phys. Rev. B 42, 1609 (1990).

    Article  Google Scholar 

  7. A.E. Carlsson, in Solid State Physics, edited by H. Ehrenreich and D. Turnbull (Academic, New York, 1990), Vol. 43, p. 1.

    Google Scholar 

  8. C.A. Coulson, Proc. Roy. Soc. (Lond.) A 169, 413 (1939).

    Article  CAS  Google Scholar 

  9. A.P. Sutton, M.W. Finnis, D.G. Pettifor, and Y. Ohta, J. Phys. C 21, 35 (1988).

    Article  Google Scholar 

  10. C. Lanczos, J. Res. Natl. Bur. Stand. 45, 225 (1950).

    Google Scholar 

  11. R. Haydock, V. Heine, M.J. Kelly, J. Phys. C 5, 2845 (1972).

    Article  CAS  Google Scholar 

  12. R. Haydock, in Solid Slate Physics, edited by H. Ehrenreich and D. Turnbull (Academic, New York, 1980), Vol. 35, p. 215.

    Google Scholar 

  13. M. Aoki, P. Gumbsch and D.G. Pettifor, unpublished.

    Google Scholar 

  14. D.G. Pettifor and M. Aoki, in Structural and Phase Stability of Alloys, edited by J.L. Morán-López, F. Mejía-Lira and J.M. Sanchez, (Plenum, New York, 1992), p. 119.

    Chapter  Google Scholar 

  15. D.G. Pettifor, in Many-Atom Interactions in Solids, edited by M. Manninen, R.M. Nieminena, and M.J. Puska, (Springer-Verlag, Now York, 1990), p. 64

    Chapter  Google Scholar 

  16. J.C. Slater and G.F. Koster, Phys. Rev. 94, 1498 (1954).

    Article  CAS  Google Scholar 

  17. M. Aoki and D.G. Pettifor, to be published in Proc. Int. Conf Phys. Transition Metals, Darmstadt, FRG, (1992).

    Google Scholar 

  18. M. Aoki, and D.G. Pettifor, to be published in Proc. of CAMSE92 (1992).

    Google Scholar 

  19. S. Glanville, A.T. Paxton and M.W. Finnis, J. Phys. F 18, 693 (1988).

    Article  CAS  Google Scholar 

  20. D.G. Pettifor, Phys. Rev. Lett. 63, 2480 (1989).

    Article  CAS  Google Scholar 

  21. D.G. Pettifor and M. Aoki, Phil. Trans. R. Soc. Lond. A 334, 439 (1991).

    Article  CAS  Google Scholar 

  22. M. Aoki, P. Gumbsch and D.G. Pettifor, to be published in Proc. of CAMSE92(1992).

    Google Scholar 

  23. R.H. Brown and A.E. Carlsson, Phys. Rev. B 32, 6125 (1985).

    Article  CAS  Google Scholar 

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© 1993 Springer-Verlag Berlin Heidelberg

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Aoki, M., Gumbsch, P., Pettifor, D.G. (1993). Angular-Dependent Many-Atom Bond-Order Potentials. In: Terakura, K., Akai, H. (eds) Interatomic Potential and Structural Stability. Springer Series in Solid-State Sciences, vol 114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84968-8_4

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  • DOI: https://doi.org/10.1007/978-3-642-84968-8_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84970-1

  • Online ISBN: 978-3-642-84968-8

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