Abstract
The energy of a spherical metallic particle of radius R, charged with Z excess electrons, is simply =-ZW+/2(R+a), where W is the bulk work function, e is the charge of one electron, and R+a is the radial centroid of the excess charge. Consequently, the ionization energy is I=W+/2(R+a), and the electron affinity is A=W-/2(R+a). These formulas apply even to the smallest microparticle, a single monovalent atom. Thus they may be used to estimate the bulk work function W=(I+A)/2 and density parameter (Wigner-Seitz radius) from atomic values for I and A; is the solution of the equation +a()=/(I-A). The link between microcosm and macrocosm is further shown by the relationship between the cohesive energy and the surface tension σ. These relationships are illustrated for atoms and small jellium spheres.
- Received 9 June 1987
DOI:https://doi.org/10.1103/PhysRevB.37.6175
©1988 American Physical Society