American Institute of Physics (AIP)
AIP Digital Archive
We calculate the self-capacitance and charging energy of a spherical nanoparticle in the Thomas–Fermi approximation. The result is CTF=C0[1−p−1 tanh p]/[1−(1−cursive-epsilon−1)p−1 tanh p], with CTF≥C0. Here C0=4πcursive-epsilon0R is the classical geometrical value, p=R/l is the ratio of the particle radius R to the Thomas–Fermi screening length l, and cursive-epsilon is the material dielectric constant. The addition of surface localized states drives C toward C0. These results should be relevant to tunneling spectroscopy studies of giant carbon onions and "large" semiconductor nanocrystals that do not require a full quantum treatment. © 2000 American Institute of Physics.
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