Statistical Properties of Conduction Electrons in an Isolated Metal Nanosphere

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• 作者：Vitaly V. Datsyuk (1)
  Iryna V. Ivanytska (1)
  
• 关键词：Canonical ensemble ; Conduction electrons ; Metal nanoparticle
• 刊名：Journal of Statistical Physics
• 出版年：2013
• 出版时间：September 2013
• 年：2013
• 卷：152
• 期：5
• 页码：969-978
• 全文大小：522KB
• 参考文献：1. Abrikosov, A.A.: Fundamentals of the Theory of Metals. Elsevier, Amsterdam (1988)
  2. Ashcroft, N.W., Mermin, N.D.: Solid State Physics. Holt, Rinehart & Winston, New York (1979)
  3. Bj?rnholm, S., Borggreen, J., Echt, O., Hansen, K., Pedersen, J., Rasmussen, H.D.: Mean-field quantization of several hundred electrons in sodium metal clusters. Phys. Rev. Lett. 65, 1627-630 (1990) vLett.65.1627">CrossRef
  4. Blanter, Y., Büttiker, M.: Shot noise in mesoscopic conductors. Phys. Rep. 336, 1-66 (2000) CrossRef
  5. Brack, M.: The physics of simple metal clusters: self-consistent jellium model and semiclassical approaches. Rev. Mod. Phys. 65, 677-32 (1993) vModPhys.65.677">CrossRef
  6. Chen, M., Cai, Y., Yan, Z., Goodman, D.W.: On the origin of the unique properties of supported Au nanoparticles. J. Am. Chem. Soc. 128, 6341-346 (2006) CrossRef
  7. Denton, R., Mühlschlegel, B., Scalapino, D.J.: Electronic heat capacity and susceptibility of small metal particles. Phys. Rev. Lett. 26, 707-11 (1971) vLett.26.707">CrossRef
  8. Flambaum, V.V., Izrailev, F.M.: Distribution of occupation numbers in finite Fermi systems and role of interaction in chaos and thermalization. Phys. Rev. E 55, R13–R16 (1997) vE.55.R13">CrossRef
  9. Flambaum, V.V., Izrailev, F.M.: Statistical theory of finite Fermi systems based on the structure of chaotic eigenstates. Phys. Rev. E 56, 5144-159 (1997) vE.56.5144">CrossRef
  10. Genzken, O., Brack, M.: Temperature dependence of supershells in large sodium clusters. Phys. Rev. Lett. 67, 3286-289 (1991) vLett.67.3286">CrossRef
  11. Goeppert Mayer, M.: Nuclear configurations in the spin-orbit coupling model. I. Empirical evidence. Phys. Rev. 78, 16-1 (1950) v.78.16">CrossRef
  12. Goeppert Mayer, M.: Nobel Lectures in Physics (1963-970), pp. 20-7. World Scientific, Singapore (1998)
  13. G?hlich, H., Lange, T., Bergmann, T., Martin, T.P.: Electronic shell structure in large metallic clusters. Phys. Rev. Lett. 65, 748-51 (1990) vLett.65.748">CrossRef
  14. de Heer, W.A.: The physics of simple metal clusters: experimental aspects and simple models. Rev. Mod. Phys. 65, 611-76 (1993) vModPhys.65.611">CrossRef
  15. Kaplan, T.A.: The chemical potential. J. Stat. Phys. 122, 1237-260 (2006) CrossRef
  16. Koskinen, M., Manninen, M.: Photoionization of metal clusters. Phys. Rev. B 54, 796-06 (1996) vB.54.14796">CrossRef
  17. Kreibig, U., Vollmer, M.: Optical Properties of Metal Clusters. Springer, Berlin (1995) CrossRef
  18. Landsberg, P.T., Harshman, P.: Canonical versus grand canonical occupation numbers for simple systems. J. Stat. Phys. 53, 475-82 (1988) CrossRef
  19. Lebowitz, J.L., Percus, J.K., Verlet, L.: Ensemble dependence of fluctuations with application to machine computations. Phys. Rev. 153, 250-54 (1967) v.153.250">CrossRef
  20. Liboff, R.L.: Geometrical properties of the Fermi energy. Found. Phys. 15, 339-52 (1985) CrossRef
  21. Liboff, R.L.: Density of states and other quantum properties of a spherical cavity. Phys. Rev. A 43, 5765-769 (1991) vA.43.5765">CrossRef
  22. Martin, T., Bergmann, T., G?hlich, H., Lange, T.: Observation of electronic shells and shells of atoms in large Na clusters. Chem. Phys. Lett. 172, 209-13 (1990) CrossRef
  23. Pedersen, J., Bj?rnholm, S., Borggreen, J., Hansen, K., Martin, T.P., Rasmussen, H.D.: Observation of quantum supershells in clusters of sodium atoms. Nature 353, 733-35 (1991) CrossRef
  24. Persson, J.L., Whetten, R.L., Cheng, H.P., Berry, R.: Evidence for quantized electronic level structure for 100-300 electrons in metal-atomic clusters. Chem. Phys. Lett. 186, 215-22 (1991) CrossRef
  25. Ralph, D.C., Black, C.T., Tinkham, M.: Spectroscopic measurements of discrete electronic states in single metal particles. Phys. Rev. Lett. 74, 3241-244 (1995) vLett.74.3241">CrossRef
  26. Roldughin, V.I.: Quantum-size colloid metal systems. Russ. Chem. Rev. 69, 821-43 (2000) v069n10ABEH000605">CrossRef
  
• 作者单位：Vitaly V. Datsyuk (1)
  Iryna V. Ivanytska (1)
  
  1. Department of Physics, Taras Shevchenko National University of Kyiv, 01601, Kyiv, Ukraine
  

文摘

We explore differences between canonical and grand canonical ensembles of 500-000 free electrons confined in a spherical well with a radius from 1.2 to 2?nm. The averaged occupation numbers of the electronic energy levels and their variances are calculated. For isolated Ag and Au particles, the sum of the variances of all occupation numbers differs from the corresponding bulk-metal value by a factor of 0.005 to?2.