Abstract
The intent of this article is to show what can be understood of the properties of metallic clusters from a simple perspective. The jellium, stabilized jellium, and liquid drop (volume + surface + curvature) models are presented to explain the size-dependences of the total and ionization energies, as well as the electronic structures, shapes, and sizes of clusters. The high-and low-density limits for the surface energy and work function are derived in an Appendix.
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References
W.A. de Heer, Rev. Mod. Phys. 65, 611 (1993).
P. Jena, C. Yannouleas, S.N. Khanna, and B.K. Rao, in Recent Progress in Many-Body Theories, Vol. 3 (Plenum, New York, 1992).
M. Brack, Rev. Mod. Phys. 65, 677 (1993).
R.M. Dreizler and E.K.U. Gross, Density Functional Theory, (Springer-Verlag, Berlin, 1990).
N.H. March, Electron Density Theory of Atoms and Molecules (Academic, New York, 1992).
R.G. Parr and W. Yang, Density Functional Theory of Atoms and Molecules (Oxford, New York, 1989).
R.O. Jones and O. Gunnarsson, Rev. Mod. Phys. 61, 689 (1989).
W.A. Harrison, Pseudopotentials in the Theory of Metals (W.A. Benjamin, New York, 1966).
W.E. Pickett, Computer Phys. Rep. 9, 117 (1989).
R.O. Jones, this volume.
W. Kohn and L.J. Sham, Phys. Rev. 140, A1133 (1965).
J.P. Perdew, in Electronic Structure of Solids ‘91, edited by P. Ziesche and H. Eschrig (Akademie Verlag, Berlin, 1991); J.P. Perdew and Y. Wang, unpublished.
J.P. Perdew, J.A. Chevary, S.H. Vosko, K.A. Jackson, M.R. Pederson, D.J. Singh, and C. Fiolhais, Phys. Rev. B46, 6671 (1992).
J.P. Perdew, J.A. Chevary, S.H. Vosko, K.A. Jackson, M.R. Pederson, D.J. Singh, and C. Fiolhais, Phys. Rev. 48 4978 (1993) (E).
N.W. Ashcroft, Phys. Lett. 23, 48 (1966).
C. Fiolhais and J.P. Perdew, unpublished.
N.D. Lang and W. Kohn, Phys. Rev. B1, 4555 (1970).
N.D. Lang and W. Kohn, Phys. Rev. 3, 1215 (1971).
W. Ekardt, Phys. Rev. B31, 6360 (1985).
W. Ekardt, Phys. Rev. 32, 1961 (1985).
K. Clemenger, Phys. Rev.B. 32, 1359 (1985).
W.D. Knight, K. Clemenger, W.A. de Heer, W.A. Saunders, M.Y. Chou, and M.L. Cohen, Phys. Rev. Lett. 52, 2141 (1984).
W.D. Knight, K. Clemenger, W.A. de Heer, and W.A. Saunders, Phys. Rev. B 31, 2539 (1985).
J.P. Perdew, in Condensed Matter Theories, Vol. IV, edited by J. Keller (Plenum, New York, 1989).
J.L. Martins, R. Car, and J. Buttet, Surf. Sci. 106, 265 (1981).
J.L. Martins, J. Buttet, and R. Car, Phys. Rev. B31, 1804 (1985).
E. Engel, U.R. Schmitt, H.-J. Lüdde, A. Toepfer, E. Wüst, and R.M. Dreizler, Phys. Rev. B48, 1862 (1993).
O. Knospe, R. Schmidt, E. Engel, U.R. Schmitt, R.M. Dreizler, and H.O. Lutz, Phys. Lett. A183, 332 (1993).
J.P. Perdew and Y. Wang, Phys. Rev. B45, 13244 (1992).
N.W. Ashroft and D.C. Langreth, Phys. Rev. 155, 682 (1967).
J.H. Rose and J.F. Dobson, Solid State Commun. 37, 91 (1981).
R. Monnier and J.P. Perdew, Phys. Rev. B17, 2595 (1978).
R. Monnier and J.P. Perdew, Phys. Rev. 22, 1124 (1980) (E).
R. Monnier, J.P. Perdew, D.C. Langreth, and J.W. Wilkins, Phys. Rev. B18, 656 (1978).
J.P. Perdew, H.Q. Tran, and E.D. Smith, Phys. Rev. B42, 11627 (1990). Antecedents are Refs. [23] and [25]. See also Ref. [30].
H.B. Shore and J.H. Rose, Phys. Rev. Lett. 66, 2519 (1991). This “ideal metal” has the same surface properties as the “stabilized jellium” of Ref. [26], but different bulk properties.
J.M. Soler, Phys. Rev. Lett. 67, 3044 (1991).
M. Brajczewska, C. Fiolhais, and J.P. Perdew, Int. J. Quantum Chem. S27, 249 (1993).
M. Brack, C. Guet, and H.-B. Hakansson, Phys. Rep. 123, 275 (1985).
C. Fiolhais and J.P. Perdew, Phys. Rev. B45, 6207(1992).
A. Kiejna, Phys. Rev. B47, 7361 (1993).
J.P. Perdew, Y. Wang, and E. Engel, Phys. Rev. Lett. 66, 508 (1991). M. Seidl, this volume.
G. Makov and A. Nitzan, Phys. Rev. B47, 2301 (1993).
P. Ziesche, M.J. Puska, T. Korhonen, and R.M. Nieminen, J. Phys.: Condens. Matter. 5, 9049 (1993).
J.P. Perdew, P. Ziesche, and C. Fiolhais, Phys. Rev. B47, 16460 (1993).
P. Ziesche, J.P. Perdew, and C. Fiolhais, Phys. Rev. B 49, February 15 (1994). P. Ziesche, this volume.
J.P. Perdew, M. Brajczewska, and C. Fiolhais, Solid State Commun. 88 795 (1993).
Some numerical tests are reported in Ref. [31]. Quantitative verification is not found in the muffin-tinned calculations of H.L. Skriver and N.M. Rosengaard, Phys. Rev. B43, 9538 (1991), but might be found when full-potential results for the surface energies of the simple metals become available.
J.P. Perdew, R.G. Parr, M. Levy, and J.L. Balduz, Phys. Rev. Lett. 49, 1691 (1982). J.P. Perdew, in Density Functional Methods in Physics. edited by R.M. Dreizler and J. da Providencia (Plenum, 1985).
J.P. Perdew, Phys. Rev. B37, 6175 (1988).
G. Makov, A. Nitzan, and L.E. Brus, J. Chem. Phys. 88, 5076 (1988).
J.M. Smith, Am. Inst. Aeronaut. Astronaut. J. 3, 648 (1965).
D.M. Wood, Phys. Rev. Lett. 46, 749 (1981).
M. Seidl and J.P. Perdew, unpublished.
E. Engel and J.P. Perdew, Phys. Rev. B43, 1331 (1991).
M. Seidl and M. Brack, unpublished.
J.P. Perdew and Y. Wang, Phys. Rev. B38, 12228 (1988).
N.D. Lang, Solid State Physics. 28, 225 (1973).
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Perdew, J.P. (1995). Simple Views of Metallic Clusters. In: Gross, E.K.U., Dreizler, R.M. (eds) Density Functional Theory. NATO ASI Series, vol 337. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9975-0_14
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