Hostname: page-component-76fb5796d-wq484 Total loading time: 0 Render date: 2024-04-25T11:56:16.119Z Has data issue: false hasContentIssue false

Cohesion, Compound Formation and Phase Diagrams from First Principles

Published online by Cambridge University Press:  15 February 2011

A. R. Williams
Affiliation:
IBM T. J. Watson Research Center, Yorktown Heights, NY 10598, USA
C. D. Gelatt Jr.
Affiliation:
IBM T. J. Watson Research Center, Yorktown Heights, NY 10598, USA
J. W. D. Connolly*
Affiliation:
IBM T. J. Watson Research Center, Yorktown Heights, NY 10598, USA
V. L. Moruzzi
Affiliation:
IBM T. J. Watson Research Center, Yorktown Heights, NY 10598, USA
*
* Permanent address: National Science Foundation, Washington, DC 20550
Get access

Abstract

The physical picture of cohesion and compound formation provided by parameter-free, self-consistent, energy-band calculations will be described. For transition-metal elements, the calculations allow us to “see” which electrons are holding the solid together and which are holding it apart. For compounds, calculated heats of formation agree well with available measurements and are in general agreement with those given by Miedema's empirical formula. (The agreement with Miedema is paradoxical, in that Miedema's conception of the formation process differs qualitatively from ours.) Preliminary, but very encouraging, results of efforts to extend the analysis to disordered materials and to the calculation of phase diagrams are described.

Type
Research Article
Copyright
Copyright © Materials Research Society 1983

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Williams, A. R., Kübler, J. and Gelatt, C. D. Jr., Phys. Rev. B 19, 6094 (1979).CrossRefGoogle Scholar
2. Hohenberg, P. and Kohn, W., Phys. Rev. 136, B 864 (1964);CrossRefGoogle Scholar
2a Kohn, W. and Sham, L. J., Phys. Rev. 140, A 1133 (1965);Google Scholar
2c Hedin, L. and Lundqvist, B. I., J. Phys. C 4, 2064 (1971).CrossRefGoogle Scholar
3. Gunnarsson, O. and Lundqvist, B. I., Phys. Rev. B 13, 4274 (1976).CrossRefGoogle Scholar
4. Moruzzi, V. L., Janak, J. F. and Williams, A. R., Calculated Electronic Properties of Metals (Pergamon, New York 1978).Google Scholar
5. Janak, J. F. and Williams, A. R., Phys. Rev. B 14, 4199 (1976).CrossRefGoogle Scholar
6. Pettifor, D. G., Commun. Phys. 1, 141 (1976).Google Scholar
7. Williams, A. R., Gelatt, C. D. Jr. and Janak, J. F., in Theory f Alloy Phas Formation, Bennett, L. H. ed. (Conf. Proceedings, The Metallurgical Society of AIME, Warrendale, PA 1980).Google Scholar
8. Miedema, A. R., Philips Tech. Rev. 36, 217 (1976);Google Scholar
8a Miedema, A. R., Boom, R. and deBoer, F. R., J. Less-Common Met. 41,283 (1975).Google Scholar
9. Williams, A. R., Gelatt, C. D. Jr. and Moruzzi, V. L., Phys. Rev. Lett. 44, 429 (1980).CrossRefGoogle Scholar
10. Pettifor, D. G., Phys. Rev. Lett. 42, 846 (1979).Google Scholar
11. Alonso, J. A. and Girifalco, L. A., Phys. Rev. B 19, 3889 (1979).CrossRefGoogle Scholar
12. Gelatt, C. D. Jr., Williams, A. R. and Moruzzi, V. L., Phys. Rev. B (in press).Google Scholar
13. Heine, V., Phys. Rev. 153, 673 (1967).CrossRefGoogle Scholar
14. Sanchez, J. M. and deFontaine, D. in Structure and Bonding in Crystals Vol. II, O'Keeffe, M. and Navrotsky, A. eds. (Academic Press New York 1981).Google Scholar
15. Connolly, J. W. D. and Williams, A. R., Phys. Rev. B (submitted).Google Scholar
16. Kikuchi, R., Phys. Rev. 81, 988 (1951).CrossRefGoogle Scholar
17. Kikuchi, R. and deFontaine, D., NBS Publ. SP- 496, 967 (1978).Google Scholar
18. Sanchez, J. M. and deFontaine, D., Phys. Rev. B 21, 216 (1980).CrossRefGoogle Scholar