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Universal Binding Energy Relations in Metallic Adhesion

Published online by Cambridge University Press:  22 February 2011

John Ferrante ,
John R. Smith  and
James H. Rose
John Ferrante
Affiliation:
NASA Lewis Research Center, Cleveland, Ohio 44135
John R. Smith
Affiliation:
General Motors Research Laboratories, Warren, Michigan 48090
James H. Rose
Affiliation:
Ames Laboratory, U.S. Department of Energy, Iowa State University, Ames, Iowa 50011; Contract No. 2-7405-ENG-82; supported by the Director of Energy Research, U.S. Office of Basic Energy Sciences, and by the National Science Foundation under Grant No. PHY-77-27084.
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Abstract

Rose, Smith, and Ferrante have discovered scaling relations which map the adhesive binding energy calculated by Ferrante and Smith onto a single universal binding energy curve. These binding energies are calculated for all combinations of Al(111), Zn(0001), Mg(0001), and Na(110) in contact. The scaling involves normalizing the energy by the maximum binding energy and normalizing distances by a suitable combination of Thomas-Fermi screening lengths. Rose et al. have also found that the calculated cohesive energies of K, Ba, Cu, Mo, and Sm scale by similar simple relations, suggesting the universal relation may be more general than for the simple free-electron metals for which it was derived. In addition, the scaling length was defined more generally in order to relate it to measurable physical properties. Further this universality can be extended to chemisorption and molecular binding. The implications of this scaling have been explored and have produced some interesting results and verifications. A simple and yet quite accurate prediction of a zero temperature equation of state (volume as a function of pressure for metals and alloys) is presented. Thermal expansion coefficients and melting temperatures are predicted by simple, analytic expressions, and results compare favorably with experiment for a broad range of metals. All of these predictions are made possible by the discovery of universality in binding energy relations for metals. Finally some results of other researchers concerning universality In Van der Waals forces are referred to

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 40: Symposium J – Electronic Packaging Materials Science I , 1984 , 351
Copyright
Copyright © Materials Research Society 1985

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References

1. Buckley, D.H., J. Colloid and Interface Sci., 58, 36 (1977).CrossRefGoogle Scholar
2. Tabor, D. in “Surface Physics of Materials.” Vol.2, ed. by Blakely, J.M., Academic Press, New York, (1975) chap. 10.Google Scholar
3. Ferrante, J. and Smith, J.R., Surf. Sci., 38, 77 (1973).Google Scholar
4. (a) Ferrante, J. and Smith, J.R., Phys. Rev. B 19, 3911 (1979).CrossRefGoogle Scholar
(b) Ferrante, J., Smith, J.R., and Rose, J.H. in “Microscopic Aspects of Adhesion and Lubrication,” ed. by Georges, J.M., Elsevier Scientific, Amsterdam (1982).Google Scholar
5. Rose, J.H., Smith, J.R., and Ferrante, J., Phys. Rev. B 28, 1835 (1983).CrossRefGoogle Scholar
6. Lang, N.D. and Kohn, W., Phys. Rev. B 1, 4555 (1970).Google Scholar
7. Kohn, W. and Sham, L.J., Phys. Rev. A 140, 1133 (1965).Google Scholar
8. Bennett, A.J. and Duke, C.B., Phys. Rev. 162, 578 (1967).Google Scholar
9. Ziman, J.M., Principles of the Theory of Solids. Cambridge University Press, New York (1964).Google Scholar
10. Slater, J.C., Quantum Theory of Molecules and Solids. Vol.1. McGraw-Hill, New York (1963).Google Scholar
11. Norskov, J.K. and Lang, N.D., Phys. Rev. B 21, 2131 (1980).Google Scholar
12. Carlsson, A.E., Gellatt, C.D. Jr., and Ehrenreich, H., Phil. Mag. A. 41, 241 (1980).Google Scholar
13. Guinea, F., Rose, J.H., Smith, J.R., and Ferrante, J., Appl. Phys. Lett. 44, 53 (1984).Google Scholar
14. (a) Miedema, A.R., Boom, R., and DeBoer, F.R., Less, J.. Comm. Met. 41, 283, (1975).Google Scholar
(b) Miedema, A.R., Phillips Tech. Rev., 36, 217 (1976).Google Scholar
15. Vidall, G., Cole, M.W., and Klein, J.R., Phys. Rev. B 28, 3064 (1983).CrossRefGoogle Scholar
16. (a) 3. Gay, Smith, J.R., Richter, R., Arlinghaus, F.J., and Wagoner, R.H., J. Vac. Scd. Tech. A 2, 931 (1984).Google Scholar
(b) Richter, R., Smith, J.R., and J. Gay, Proc. First Int. Conf. on the Structure of Solid Surfaces, U. of California, Berkeley, 1985.Google Scholar