Self-capacitance of a Thomas-Fermi nanosphere Academic Article uri icon

abstract

  • We calculate the self-capacitance and charging energy of a spherical nanoparticle in the Thomas-Fermi approximation. The result is CTF=C0[1 -p-1tanh p]/[1-(1--1)p-1tanh p], with CTFC0. Here C0= 4 0R is the classical geometrical value, p = R/l is the ratio of the particle radius R to the Thomas-Fermi screening length l, and 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.

published proceedings

  • APPLIED PHYSICS LETTERS

author list (cited authors)

  • Krcmar, M., Saslow, W. M., & Zangwill, A.

citation count

  • 8

complete list of authors

  • Krčmar, Maja||Saslow, Wayne M||Zangwill, Andrew

publication date

  • December 2000