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From micro-systems to macro-systems: What size is a metal?

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Part of the book series: Lecture Notes in Physics ((LNP,volume 269))

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Abstract

Having defined metal as a macroscopic (bulk) system, its minimum size is the size beyond which deviations form the bulk behaviour are no longer detectable. The size therefore depends on the physical property studied as well as on the sensitivity of the experimental apparatus.

We have presented some model treatments of a metallic slab. This system can be characterized by a number of scalar parameters as well as fields. As the slab thickness is varied the scalar parameters generally shift (scaling relations) while the field pattern change in space and time. Nevertheless, at least in the present model the time-pattern (frequency) and the space pattern are still found to be interrelated in terms of a dispersion relation.

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References

  1. See, e.g., S. K. Ma, 'statistical Mechanics', World Scientific 1985

    Google Scholar 

  2. G. Mahler and A. Fourikis, J. Lum. 30 (1986) 18

    Article  Google Scholar 

  3. J. B. Barker and D. K. Ferry, Solid State Electron. 23 (1980) 519; 531; 545

    Article  Google Scholar 

  4. T. Welker and T. P. Martin, J. Chem. Phys. 70 (1979) 5683

    Article  Google Scholar 

  5. M. E. Fisher and M. N. Barker, Phys. Rev. Lett. 28 (1972) 1516

    Article  Google Scholar 

  6. D. M. Wood, Phys. Rev. Lett. 46 (1981) 749

    Article  Google Scholar 

  7. D. J. Chodi, Phys. Rev. Lett. 41 (1978) 1062

    Article  Google Scholar 

  8. J. L. Martins, J. Buttet, and R. Car, Phys. Rev. Lett. 53 (1984) 655

    Article  Google Scholar 

  9. H. Stolz, ‘Einfiihrung in die Vielelektronentheorie der Kristalle', Düsseldorf 1975

    Google Scholar 

  10. C. M. Soukulis, J. V. Jose, E. N. Economou, and Ping Shen, Phys. Rev. Lett. 50 (1983) 764

    Article  Google Scholar 

  11. H. P. Balkes and E. R. Hilf, 'spectra of finite systems', Mannheim 1976

    Google Scholar 

  12. H. M. Streib, Diplom Thesis, Stuttgart 1983

    Google Scholar 

  13. M. J. Kelly and R. J. Nicholas, Rep. Progr. Phys. 48 (1985) 1695

    Google Scholar 

  14. E. Heilbronner and H. Bock, ‘Das HMO-Modell und seine Anwendungen', Verlag Chemie 1978

    Google Scholar 

  15. W. Teich and G. Mahler, Phys. Stat. Sol(b), to be publ.

    Google Scholar 

  16. K. Shimoda (ed.), ‘High Resolution Laser Spectroscopy', Springer 1976

    Google Scholar 

  17. A similar situation as found for NMR is discussed by J. S. Ridgen, Rev. mod. Phys. 58 (1986) 433

    Article  Google Scholar 

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Eberhard R. Hilf Friedrich Kammer Karl Wien

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© 1987 Springer-Verlag

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Mahler, G. (1987). From micro-systems to macro-systems: What size is a metal?. In: Hilf, E.R., Kammer, F., Wien, K. (eds) PDMS and Clusters. Lecture Notes in Physics, vol 269. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-17209-2_48

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  • DOI: https://doi.org/10.1007/3-540-17209-2_48

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17209-3

  • Online ISBN: 978-3-540-47404-3

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