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Phase relations associated with one-dimensional shell effects in thin metal films.

T Miller1, M Y Chou, T-C Chiang

  • 1Department of Physics, University of Illinois, Urbana, Illinois 61801-3080, USA.

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Thin metal films exhibit oscillations in properties with thickness due to one-dimensional shell effects. Work function and surface energy show out-of-phase patterns because of atomic layer aliasing, despite a small phase offset.

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Area of Science:

  • Solid State Physics
  • Materials Science
  • Surface Science

Background:

  • Thin metal films display physical and chemical property oscillations related to film thickness.
  • These oscillations are known as one-dimensional shell effects and are linked to Fermi level subband crossings.

Purpose of the Study:

  • To investigate the phase relationships between different properties of thin metal films.
  • To explain the observed out-of-phase beating patterns in work function and surface energy for Pb(111) films.

Main Methods:

  • Analysis of physical and chemical properties as a function of thin film thickness.
  • Theoretical examination of subband crossings at the Fermi level.
  • Investigating the impact of discrete atomic layer structure (aliasing) on oscillation phases.

Main Results:

  • Oscillation periods are consistent across different properties, determined by Fermi level crossings.
  • Work function and surface energy oscillations exhibit a phase offset of approximately 1/4 period.
  • For Pb(111) films, this offset is ~0.18 monolayers, leading to pronounced out-of-phase beating due to aliasing.

Conclusions:

  • The discrete atomic layer structure of thin films causes aliasing, significantly altering the apparent phase relationship between properties.
  • Despite a small intrinsic phase offset, aliasing creates striking, observable out-of-phase phenomena in properties like work function and surface energy.
  • One-dimensional shell effects and aliasing are crucial for understanding the behavior of thin metal films.