Abstract
We propose a new scheme to extract “optimal” interatomic potentials starting from a large number of atomic configurations (and their forces) obtained from first-principles calculations. The method appears to be able to overcome the difficulties encountered by traditional fitting approaches when using rich and complex analytical forms, and constitute a step forward towards large-scale simulations of condensed matter systems with a degree of accuracy comparable to that obtained by ab initio methods. A first exploratory application to aluminum is presented.
This is a preview of subscription content, access via your institution.
References
- 1.
R. Car and M. Parrinello, Phys. Rev. Lett. 55, 2471 (1985).
- 2.
O.F. Sankey and D.J. Niklewski, Phys. Rev. B 40, 3979 (1989).
- 3.
Several groups have proposed MD schemes based on the tight-binding approximation: F.S. Khan and J.Q. Broughton, Phys. Rev. B 39, 3688 (1989); C.Z. Wang, CT. Chan and K.M. Ho, Phys. Rev. B 39, 8586 (1989); L. Goodwin, A.J. Skinner and D.G. Pettifor, Europhys. Lett. 9, 701 (1989); K. Laasonen and R.M. Nieminen, J. Phys.: Condens. Matter 2, 1509 (1990).
- 4.
For a review, see A.E. Carlsson, Solid State Phys. 43, 1 (1990).
- 5.
M.S. Daw and M.I. Baskes, Phys. Rev. B 29, 6443 (1984).
- 6.
F. Ercolessi, E. Tosatti and M. Parrinello, Phys. Rev. Lett. 57, 719 (1986); F. Ercolessi, M. Parrinello and E. Tosatti, Philos. Mag. A 58, 213 (1988).
- 7.
M.W. Finnis and J.E. Sinclair, Philos. Mag. A 50, 45 (1984).
- 8.
A.F. Voter and S.P. Chen, Mater. Res. Soc. Proc. 82, 175 (1987).
- 9.
K.W. Jacobsen, J.K. Nárskov and M.J. Puska, Phys. Rev. B 35, 7423 (1987).
- 10.
F. Stillinger and T. Weber, Phys. Rev. B 31, 5262 (1985).
- 11.
J. Tersoff, Phys. Rev. B 37, 6991 (1988).
- 12.
R. Biswas and D.R. Hamann, Phys. Rev. B 36, 6434 (1987).
- 13.
M.I. Baskes, Phys. Rev. B 46, 2727 (1992).
- 14.
W. Andreoni and G. Pastore, Phys. Rev. B 41, 10243 (1990).
- 15.
W.H. Press, B.P. Flannery, S.A. Teukolsky and W.T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, 1989).
- 16.
S.H. Yang, D.A. Drabold, J.B. Adams and A. Sachdev, Phys. Rev. B, in press (1993).
- 17.
P. Stoltze, K.W. Jacobsen and J.K. Nárskov, Phys. Rev. B 36, 5035 (1987); P. Stoltze, J.K. Nárskov and U. Landman, Phys. Rev. Lett. 61, 440 (1988).
- 18.
M. Fluss et al., Phys. Rev. B 17, 3444 (1978); J. Mundy, Phys. Status Solidi B 144, 233 (1987).
- 19.
W.R. Tyson and W.A. Miller, Surf. Sci. 62, 267 (1977).
- 20.
D.L. Adams, H.B. Nielsen and J.N. Andersen, Phys. Scr. T 4, 22 (1983); J.R. Noonan and H.L. Davis, Phys. Rev. B 29, 4349 (1984); Cheng Huan-Sheng et al, Nucl. Instr. Meth. Phys. Res. B 45, 424 (1990).
- 21.
F. Ercolessi, O. Tomagnini, S. Iarlori and E. Tosatti, in Manipulation of Atoms in High Fields and Temperatures: Applications, edited by Vu Thien Binh, N. Garcia and K. Dransfeld (Kluwer, NATO-ASI-E Series, in press).
- 22.
R.J. Needs and M.J. Godfrey, Phys. Rev. B 42, 10933 (1990).
Acknowledgments
We are indebted to Dave Drabold and Sang Yang for the generation of the first-principles trajectories. We thank Wei Xu for stimulating discussions. This work has been carried out under the U.S. Department of Energy Grant No. DOE-BES (0) 76ER01198.
Author information
Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ercolessi, F., Adams, J.B. Interatomic Potentials from First-Principles Calculations. MRS Online Proceedings Library 291, 31–36 (1992). https://doi.org/10.1557/PROC-291-31
Published:
Issue Date: