Phys. Rev. B 50, 5744–5747 (1994)Size-dependent ionization energy of a metallic cluster: Resolution of the classical image-potential paradoxReceived 5 May 1994; published in the issue dated 15 August 1994 The ionization energy for a metallic cluster of radius R is I(R)=W+αe2/R+O(R-2), where W is the work function. Two different classical values for α have been derived: 1/2 from the spherical-capacitor approach, and 3/8 from the image-potential approach. We present a ‘‘classical jellium’’ or Wigner-crystal model in which α=1/2 and W=9/10e2/rs. In the image-potential approach to the ‘‘perfect-conductor’’ model, we discover an additional work 1/8e2/R, resolving the contradiction in favor of α=1/2. The experimental deviation from α=1/2 is a quantum effect. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.50.5744
DOI:
10.1103/PhysRevB.50.5744
PACS:
71.45.Nt, 31.20.-d, 79.60.-i
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