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Electronic and Atomic Structure of NanZn Clusters in the Spherically Averaged Pseudopotential Model

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Density Functional Methods in Chemistry

Abstract

Hohenberg-Kohn-Sham density-functional theory is used to obtain the energy of the valence electrons in a spherically averaged external ionic potential for clusters of Na with a single Zn impurity atom. By adding the ion-ion interaction and minimizing the total energy of the cluster with respect to the positions of all ions we obtain the global equilibrium geometry and also the geometries of a few metastable states for a given cluster. Within our model all the clusters with less than five atoms are intrinsically unstable, a fact in good agreement with the experiment. The cohesive energy as a function of the number of atoms of the cluster shows maxima for clusters with 10 and 20 electrons, in agreement with the experimental results, and for clusters with 13 atoms. The last maximum is due to geometrical reasons.

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References

  • Ashcroft, N. W., 1986, Phys. Lett. 23, 48.

    CAS  Google Scholar 

  • Baladron, C., Alonso, J. A., 1988, Physica B154, 73.

    Google Scholar 

  • Baladron, C., Alonso, J. A., 1989, Phys. Lett. A140, 67.

    Google Scholar 

  • Begemann, W., Dreihöfer, S., Meiwes-Broer, K. H., Lutz, H. O., 1987, Physics and chemistry of small clusters. Jena, P., Rao, B. K., Khanna, S. N., (eds.), p. 269, New York, Plenum Press.

    Google Scholar 

  • Boustani, I., Pewestorf, W., Fantucci, P., Bonacic-Koutecky, V., Koutecky, J., 1987, Phys. Rev. B35, 9437.

    Google Scholar 

  • Clemenger, K., 1985, Phys. Rev B32, 1359.

    Google Scholar 

  • Cohen, M. L., Chou, M. Y., Knight, W. D., de Heer, W. A., 1987, J. Phys. Chem. 91, 3141.

    Article  CAS  Google Scholar 

  • Echt, O., Sattler, K., Recknagel, E., 1981, Phys. Rev. Lett. 47, 1121.

    Article  CAS  Google Scholar 

  • Gunnarsson, O., Lundqvist, B. I., 1976, Phys. Rev. B13, 4274.

    Google Scholar 

  • Heiz, U., Röthlisberger, U., Vayloyan, A., Schumacher, E., 1990, Israel J. of Chem (to be published)

    Google Scholar 

  • Ishii, Y., Ohnishi, S., Sugano, S., 1986, Phys. Rev. B33, 5271.

    Google Scholar 

  • Iñiguez, M. P., Lopez, M. J., Alonso, J. A., Soler, J. M., 1989, Z. Phys. D-Atoms, Mol. and Clusters, 11,163.

    Article  Google Scholar 

  • Kappes, M. M., Kunz, R. W., Schumacher, E., 1982, Chem. Phys. Lett. 91,413.

    Article  CAS  Google Scholar 

  • Kappes, M. M., Radi, P., Schär, M., Schumacher, E., 1985, Chem Phys. Lett. 119,11.

    Article  CAS  Google Scholar 

  • Kappes, M. M., Schär, M., Radi, P., Schumacher, E., 1886a, J. Chem. Phys. 84,1963.

    Google Scholar 

  • Kappes, M. M., Radi, P., Schär, M., Yeretzian, C., Schumacher, E., 1986b, Z. Phys. D 3,115.

    Article  CAS  Google Scholar 

  • Kappes, M. M., Schär, M., Yeretzian, C., Heiz, U. Vayloyan, A., Schumacher, E., 1987, Physics and chemistry of small clusters, Jena, P., Rao, B. K., Khanna, S. N. (eds.). p. 263, New York, Plenum Press.

    Google Scholar 

  • Kappes, M. M., Schumacher, E. J., 1988, Z. Phys. Chem. 156,23.

    Article  CAS  Google Scholar 

  • Katakuse, I., Ichihara, T., Fujita, Y., Matsuo, T., Sakurai, T., Matsuda, H., 1986, Int. J. Mass Spectro. Ion Proc. 74,33.

    Article  CAS  Google Scholar 

  • Kittel, C., 1976, Introduction to Solid State Physics, 5th edition, Wiley, New York.

    Google Scholar 

  • Kohn, W., Sham, L. J., 1965, Phys. Rev. A140,1133.

    Article  Google Scholar 

  • Knight, W. D., Clemenger, K., Saunders, W. A., Chou, M. Y., Cohen, M. L., 1984, Phys. Rev. Lett. 52,2141.

    Article  CAS  Google Scholar 

  • Knight, W. D., de Heer, W. Clemenger, K., Saunders, W. A., 1985, Solid State Commun. 53,445.

    Article  CAS  Google Scholar 

  • Koutecky, J., Fantucci, P., 1986, Chem. Rev. 86,539.

    Article  CAS  Google Scholar 

  • Lammers, U., Mañanes, A., Borstel, G., Alonso, J. A., 1989, Solid State Commun. 71,591.

    Article  CAS  Google Scholar 

  • Lopez, M. J., Mañanes, A., Alonso, J. A., Iñiguez, M. P., 1989, Z. Phys. D-Atoms, Mol. and Clusters, 12,237.

    Article  CAS  Google Scholar 

  • Lopez, M. J., Iñiguez, M. P., Alonso, J. A., 1990, Phys. Rev B41,5636.

    Google Scholar 

  • Mañanes, A., Iñiguez, M. P., Lopez, M. J., Alonso, J. A., 1990, Phys. Rev. B (to be published)

    Google Scholar 

  • Manninen, M., 1986a, Phys. Rev. B34,6886.

    Google Scholar 

  • Manninen, M., 1986b, Solid State Commun. 59,281.

    Article  CAS  Google Scholar 

  • March, N. H., Lundqvist, S., 1983, Theory of the inhomogeneous electron gas. New York, Plenum Press.

    Google Scholar 

  • Martins, J.-L., Buttet, J., Car, R., 1985, Phys. Rev. B31,1804.

    Google Scholar 

  • Robles, J., Iñiguez, M. P., Alonso, J. A., Mañanes, A., 1989, Z. Phys D-Atoms, Mol. and Clusters, 13,269.

    Article  CAS  Google Scholar 

  • Saito, Y., Watanabe, M., Hagiwara, J., Nishigaki, S., Noda, S., 1988, Jpn. J. Appl. Phys. 27,424.

    Article  CAS  Google Scholar 

  • Saito, Y., Minami, K., Ishida, T., Noda, T., 1989, Z. Phys. D-Atoms, Mol. and Clusters, 11,87.

    Article  CAS  Google Scholar 

  • Upton, T. H., 1986, Phys. Rev. Lett. 56,2168.

    Article  CAS  Google Scholar 

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© 1991 Springer-Verlag New York, Inc.

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Lopez, J.M., Ayuela, A., Alonso, J.A. (1991). Electronic and Atomic Structure of NanZn Clusters in the Spherically Averaged Pseudopotential Model. In: Labanowski, J.K., Andzelm, J.W. (eds) Density Functional Methods in Chemistry. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3136-3_24

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  • DOI: https://doi.org/10.1007/978-1-4612-3136-3_24

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7809-2

  • Online ISBN: 978-1-4612-3136-3

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