4.2. METAL NANOCLUSTERS
81
Figure 4.8. Illustration of some calculated structures of small boron nanoparticles. (F. J. Owens,
unpublished.)
4.2.4. Electronic Structure
When atoms form a lattice, the discrete energy levels of the atoms are smudged out
into energy bands. The term density of states refers to the number of energy levels in
a given interval of energy. For a metal, the top band is not totally filled. In the case of
a semiconductor the top occupied band, called the valence band, is filled, and there
is a small energy separation referred to as the band gap between it and the next
higher unfilled band. When a metal particle having bulk properties is reduced in size
to a few hundred atoms, the density of states in the conduction band, the top band
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