Abstract
The quasi-classical theory of matter aggregation is briefly reviewed and the guiding principles of formation of the atomic clusters are discussed. The interaction potential of a metallic ion with a semi-infinite solid exhibiting a free plane surface is derived and atomic clusters deposited on surfaces are constructed. Binding energies, ground-states, magic geometries, isomers, inter-atomic distances, vibration spectra and monolayers are thus obtained, and further developments are outlined.
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References
de Heer, W. A. (1993) The physics of simple metal clusters: experimental aspects and simple models, Hetis. Mod. Phys. 65, 611–676.
Brack, M. (1993) The physics of simple metal clusters: self-consistent jellium model and semiclassical approaches, Revs. Mod. Phys. 65, 677–732.
Meiwes-Broer, K.-H. (ed) (2000) Metal Clusters at Surfaces: Structure, Quantum Properties, Physical Chemistry (Cluster Physics), Springer.
Binns, C. (2001) Nanoclusters deposited on surfaces, Surf. Sc. Rep. 44, 1–49.
Pople, J. A. (1999) Nobel Lecture: Quantum chemical models, Revs. Mod. Phys. 71, 1267–1274.
Kohn, W. (1999) Nobel Lecture: Electronic structure of matter-wave functions and density functionals, Revs. Mod. Phys. 71, 1253–1266.
Cune, L. C. and Apostol, M. (2000) Ground-state energy and geometric magic numbers for homo-atomic metallic clusters, Phys. Lett. A273, 117–124.
Cune, L. C. and Apostol, M. (2001) Iron-hydrocarbon cluster Fei3 (C2H2)6, Chem. Phys. Lett. 344, 287–291.
Cune, L. C. and Apostol, M. (2000) Metallic Binding, apoma, Magurele-Bucharest.
Cune, L. C. and Apostol, M. (2002) Atomic Clusters: Chemical Bond in Condesed Matter, in Graja, A., Bulka, B. R. and Kajzar, F. (eds) Molecular Low-Dimensional and Nanostructured Materials for Advanced Applications, Kluwer Academic Publishers, Dordrecht, pp 221–231.
Schwinger, J. (1980) Thomas-Fermi model: The leading correction, Phys. Rev. A22, 1827–1832.
Schwinger, J. (1981) Thomas-Fermi model: The second correction, Phys. Rev. A24, 2353–2361.
Slater, J. C. (1979) The Calculations of Molecular Orbitals, Wiley, NY.
Wigner, E. and Seitz, F. (1933) On the Constitution of Metallic Sodium, Phys. Rev. 43, 804–810.
Wigner, E. and Seitz, F. (1934) On the Constitution of Metallic Sodium. II, Phys. Rev. 46, 509–524.
Wigner, E. (1934) On the Interaction of Electrons in Metals, Phys. Rev. 46, 1002–1011.
Doye, J. P. K. and Wales, D. J. (1997) Structural consequences of the range of the interatomic potential: a menagerie of clusters, J. Chem. Soc, Faraday Trans. 93, 4233–4244.
Rayane, D., Melinon, P., Tribollet, B., Chabaud, B., Hoareau, A. and Broyer, M. (1989) Binding energy and electronic properties in antimony clusters: Comparison with bismuth clusters, J. Chem. Phys. 91, 3100–3110.
Dunlap, B. I. (1990) Symmetry and cluster magnetism, Phys. Rev. A41, 5691–5694.
Castro, M. and Salahub, D. R. (1993) Theoretical study of the structure and binding of iron clusters: Fen (n ≤ 5), Phys. Rev. B47, 10955–10958.
Christensen, O. B. and Cohen, M. L. (1993) Ground-state properties of small iron clusters, Phys. Rev. B47, 13643–13647.
Wang, Q., Sun, Q., Sakurai, M., Yu, J. Z., Gu, B. L., Sumiyama, K. and Kawazoe, Y. (1999) Geometry and electronic structure of magic iron oxide clusters, Phys. Rev. B59, 12672–12677.
Huisken, F., Kohn, B., Alexandrescu, R. and Morjan, I. (2000) Reactions of iron clusters with oxygen and ethylene: Observation of particularly stable species, J. Chem. Phys. 113, 6579–6584.
Knickelbein, M. B., Koretsky, G. M., Jackson, K. A., Pederson, M. R. and Haznal, Z. (1998) Hydrogenated and deuterated iron clusters: Infrared spectra and density functional calculations, J. Chem. Phys. 109, 10692–10700.
Karabacak, M., Ozcelik, S. and Guvench, Z. B. (2002) Structures and energetics of Pdn (n = 2 — 20) clusters using an embedded-atom model potential, Surf. Science C507-510, 636–642.
Smith, J. R. (1969) Self-Consistent Many-Electron Theory of Electron Work Func-tions and Surface Potential Characteristics for Selected Metals, Phys. Rev. 181, 522–529.
Jones, W. and March, N. H. (1973) Theoretical Solid-State Physics, Wiley-Interscience, London, vol. II, p. 1062 and ff.
Wang, Y. L. and Lai, M. Y. (2001) Formation of surface magic clusters: a pathway to monodispersed nanostructures on surfaces, J. Phys.: Condens. Matter 13, R589–R618.
Rosenfeld, G., Becker, A. F., Poelsema, B., Verheij, L. K. and Comsa, G. (1992) Magic clusters in two dimensions?, Phys. Rev. Lett. 69, 917–920.
Michely, T., Hohage, M., Esch, S. and Comsa, G. (1996) The effect of surface reconstruction on the growth mode in homoepitaxy, Surf. Sci. Lett. 349, L89–L94.
Lai, M. Y. and Wang, Y. L. (1998) Direct Observation of Two Dimensional Magic Clusters, Phys. Rev. Lett. 81, 164–167.
Lai, M. Y. and Y. L. Wang, Y. L. (1999) Gallium-induced nanostructures on Si(111): From magic clusters to incommensurate structures, Phys. Rev. B60, 1764–1770.
Voigtlander, B., Kastner, M. and Smilauer, P. (1998) Magic Islands in Si/Si(111) Homoepitaxy, Phys. Rev. Lett. 81, 858–861.
Hwang, I.-S., Ho, M.-S. and Tsong, T. T. (1999) Dynamic Behavior of Si Magic Clusters on Si(111) Surfaces, Phys. Rev. Lett. 83, 120–123.
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Cune, L.C., Apostol, M. (2003). Theory of Atomic Clusters. In: Liz-Marzán, L.M., Giersig, M. (eds) Low-Dimensional Systems: Theory, Preparation, and Some Applications. NATO Science Series, vol 91. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0143-4_1
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DOI: https://doi.org/10.1007/978-94-010-0143-4_1
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