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Ionization potentials and charge localization in small charged group 12 clusters

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Abstract

For small size, the cluster Xn with X = Hg, Cd or Zn displays a van der Waals bond. A model Hamiltonian has been proposed for the singly (doubly) ionized van der Waals clusters Xn+ (Xn++). The first and second ionization potentials of Xn have been calculated. A good agreement is obtained with the available experiment values of the first ionization potential of mercury and cadmium. The stability and the metastability of Xn++ are discussed. The energy curves versus the bond length for Hg2++, Cd2++ and Zn2++ have been determined. The hole(s) in charged clusters Xn+ and Xn++ for 2 ≤ n ≤ 7 is (are) mainly delocalized, except for Hgn+ with n ≥ 4 where the hole is localized on two or three sites.

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References

  1. E. Pahl, P. Schwerdtfeger, in Handbook of Nanophysics: Clusters and Fullerenes, edited by K. Satler (CRC Press, Boca Raton, 2011), Vol. 2, Part I

  2. C. Bréchignac, M. Broyer, Ph Cahuzac, G. Delacretaz, P. Labastie, L. Wöste, Chem. Phys. Lett. 120, 559 (1985)

    ADS  Google Scholar 

  3. B. Cabaud, A. Hoareau, P. Melinon, J. Phys. D 13, 1831 (1980)

    ADS  Google Scholar 

  4. C. Bréchignac, M. Broyer, Ph Cahuzac, G. Delacretaz, P. Labastie, J.P. Wolf, L. Wöste, Phys. Rev. Lett. 60, 275 (1988)

    ADS  Google Scholar 

  5. K. Rademann, O. Dimopoulou-Rademann, M. Schlauf, U. Even, F. Hensel, Phys. Rev. Lett. 69, 3208 (1992)

    ADS  Google Scholar 

  6. H. Haberland, B. von Issendorff, J. Yufeng, T. Kolar, Phys. Rev. Lett. 69, 3212 (1992)

    ADS  Google Scholar 

  7. H. Haberland, H. Kornmeier, H. Langosch, M. Oschwald, G. Tanner, J. Chem. Soc. Faraday Trans. 86, 2473 (1990)

    Google Scholar 

  8. R. Busani, M. Folkers, O. Cheshnovsky, Phys. Rev. Lett. 81, 3836 (1998)

    ADS  Google Scholar 

  9. H. Ito, T. Sakurai, T. Matsuo, T. Ichihara, I. Katakuse, Phys. Rev. B 48, 4741 (1993)

    ADS  Google Scholar 

  10. J. Blanc, M. Broyer, Ph Dugourd, P. Labastie, M. Sence, J.P. Wolf, L. Wöste, J. Chem. Phys. 102, 680 (1995)

    ADS  Google Scholar 

  11. K. Rademann, B. Kaiser, U. Even, F. Hensel, Phys. Rev. Lett. 59, 2319 (1987)

    ADS  Google Scholar 

  12. K. Rademann, M. Ruppel, B. Kaiser, Ber. Bunsenges. Phys. Chem. 96, 1204 (1992)

    Google Scholar 

  13. B. Kaiser, K. Rademann, Phys. Rev. Lett. 69, 3204 (1992)

    ADS  Google Scholar 

  14. B. Lang, A. Vierheilig, E. Wiedenmann, H. Buchenau, G. Gerber, Eur. Phys. J. D 40, 1 (1997)

    Google Scholar 

  15. B. Bescὸs, B. Lang, J. Weiner, V. Weiss, E. Wiedenmann, G. Gerber, Eur. Phys. J. D 9, 399 (1999)

    ADS  Google Scholar 

  16. J.R.R. Verlet, A.E. Bragg, A. Kammrath, O. Cheshnovsky, D.M. Neumark, J. Chem. Phys. 121, 10015 (2004)

    ADS  Google Scholar 

  17. A.E. Bragg, J.R.R. Verlet, A. Kammrath, O. Cheshnovsky, D.M. Neumark, J. Chem. Phys. 122, 054314 (2005)

    ADS  Google Scholar 

  18. R.M. Young, G.B. Griffin, O.T. Ehrler, A. Kammrath, A.E. Bragg, J.R.R. Verlet, O. Cheshnovsky, D.M. Neumark, Phys. Scr. 80, 48102 (2009)

    Google Scholar 

  19. M. Ruppel, K. Rademann, Chem. Phys. Lett. 197, 280 (1992)

    ADS  Google Scholar 

  20. K. Rademann, J. Non-Cryst, Solids 156–158, 794 (1993)

    Google Scholar 

  21. G.M. Pastor, K.H. Bennemann, in Clusters of Atoms and Molecules, edited by H. Haberland, Vol. I (Spriger, Berlin, 1995), 7, pp. 86–113

  22. G.M. Pastor, P. Stampfli, K.H. Bennemann, Europhys. Lett. 7, 419 (1988)

    ADS  Google Scholar 

  23. M.E. Garcia, G.M. Pastor, K.H. Bennemann, Phys. Rev. Lett. 67, 1142 (1991)

    ADS  Google Scholar 

  24. M.E. Garcia, G.M. Pastor, K.H. Bennemann, Phys. Rev. B. 48, 8388 (1993)

    ADS  Google Scholar 

  25. P. Joyes, R.J. Tarento, J. Phys. France 50, 2673 (1989)

    Google Scholar 

  26. A.A. Aligia, M.E. Garcia, K.H. Bennemann, Europhys. Lett. 21, 177 (1993)

    ADS  Google Scholar 

  27. H. Kitamura, J. Phys. Condens. Matter 15, 6427 (2003)

    ADS  Google Scholar 

  28. H. Kitamura, Chem. Phys. Lett. 425, 205 (2006)

    ADS  Google Scholar 

  29. M. Dolg, H.-J. Flad, Mol. Phys. 91, 815 (1997)

    ADS  Google Scholar 

  30. F. Calvo, E. Pahl, P. Schwerdtfeger, F. Spiegelman, J. Chem. Theory Comput. 8, 639 (2012)

    Google Scholar 

  31. T. Satoh, H. Ito, T. Ichihara, H. Sakae, I. Katakuse, J. Mass. Spectrom. Jpn. 51, 393 (2003)

    Google Scholar 

  32. M. Nakamura, R.J. Tarento, J. Chem. Phys. 148, 084312 (2018)

    ADS  Google Scholar 

  33. H.-J. Flad, F. Schautz, Y. Wang, M. Dolg, A. Savin, Eur. Phys. J. D 6, 243 (1999)

    ADS  Google Scholar 

  34. R.D. van Zee, S.C. Blankespoor, T.S. Zwier, J. Chem. Phys. 88, 4650 (1988)

    ADS  Google Scholar 

  35. M. Yu, M. Dolg, Chem. Phys. Lett. 273, 329 (1997)

    ADS  Google Scholar 

  36. M. Amarouche, G. Durand, J.P. Malrieu, J. Chem. Phys. 88, 1010 (1988)

    ADS  Google Scholar 

  37. M. Amarouche, G. Durand, J.P. Malrieu, Z. Phys. D 8, 289 (1988)

    ADS  Google Scholar 

  38. W.A. Harrison, Electronic Structure and the Properties of Solids (W.H. Freeman and Company, San Francisco, 1980)

  39. A.A. Abrahamson, Phys. Rev. 178, 76 (1969)

    ADS  Google Scholar 

  40. J.K. Nagle, J. Am. Chem. Soc. 112, 4741 (1990)

    Google Scholar 

  41. S.W. Buckner, J.R. Gord, B.S. Freiser, J. Chem. Phys. 88, 3678 (1988)

    ADS  Google Scholar 

  42. R.P. Neisler, K.S. Pitzer, J. Phys. Chem. 91, 1084 (1987)

    Google Scholar 

  43. G. Durand, F. Spiegelmann, A. Bernier, J. Phys. B 80, 1161 (1987)

    ADS  Google Scholar 

  44. K. Franzreb, R. Pies Diez, J.A. Alonso, J. Chem. Phys. 130, 144312 (2009)

    ADS  Google Scholar 

  45. M. Kolbuszewski, J.S. Wright, Can. J. Chem. 71, 1562 (1993)

    Google Scholar 

Download references

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Correspondence to René Jean Tarento.

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Contribution to the Topical Issue “Dynamics of Systems on the Nanoscale (2018)”, edited by Ilko Bald, Ilia A. Solov’yov, Nigel J. Mason and Andrey V. Solov’yov.

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Tarento, R.J. Ionization potentials and charge localization in small charged group 12 clusters. Eur. Phys. J. D 73, 260 (2019). https://doi.org/10.1140/epjd/e2019-100134-4

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  • DOI: https://doi.org/10.1140/epjd/e2019-100134-4

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