Ion-Ion Interactions in Metals: Their Nature and Physical Manifestations
In calculating the total free energy of an arbitrary arrangement of charged ions immersed in a system of interacting electrons it is convenient to separate the structurally dependent terms into effective n-ion interactions. Normally the dominant contribution arises in simple metals from pairwise interactions in which the screening effects from the band electrons are incorporated within the framework of linear response. At finite temperatures, the energy of a crystal may be calculated as if the ions were static, provided the pair interaction is appropriately redefined. The dynamics of the crystal are thus transferred to the ion-ion potential, a simplification that may be useful for analyzing transformations between phases. Phase stability of metals and alloys is shown to be related almost entirely to the electron-response contribution to the total energy, expressed as indicated, in terms of pair potentials.
KeywordsPair Potential Simple Metal Static Structure Factor Uniform Component Madelung Energy
Unable to display preview. Download preview PDF.
- 4.E. G. Brovman and Y., Kagan, J.E.T.P., 25, 365 (1967).Google Scholar
- 6.M. H. Cohen, Metallic Solid Solutions, (J. Friedel and A. Guinier, Editors), W. A. Benjamin, Inc. (1963).Google Scholar
- 8.W. Hume-Rothery; The Metallic State (London, Oxford University Press), 1931.Google Scholar
- 9.A. Blandin, “Phase Stability in Metals and Alloys” Eds. R. S. Rudman, J. Stringer and R. I. Jaffee (McGraw Hill, New York) 1966Google Scholar
- 9a.V. Heine, ibid, 1966; and “The Physics of Metals”, Vol 1, Ed. J. M. Ziman (Cambridge University Press, London) 1969.Google Scholar
- 10.D. Stroud and N. W. Ashcroft, J. Phys. F. (Proc. Phys. Soc.) 1971.Google Scholar
- 12.D. Stroud and N. W. Ashcroft, to be published.Google Scholar
- 14.N. W. Ashcroft, Proceedings of the International Conference on Dislocation Theory, National Bureau of Standards, 1970.Google Scholar