Self-capacitance of a Thomas-Fermi nanosphere

Krcmar, Maja; Saslow, Wayne M.; Zangwill, Andrew
December 2000
Applied Physics Letters;12/4/2000, Vol. 77 Issue 23
Academic Journal
We calculate the self-capacitance and charging energy of a spherical nanoparticle in the Thomas-Fermi approximation. The result is C[sub TF]=C[sub 0][1-p[sup -1] tanh p]/[1-(1-ε[sup -1])p[sup -1] tanh p], with C[sub TF]>=C[sub 0]. Here C[sub 0]=4πε[sub 0]R is the classical geometrical value, p=R/l is the ratio of the particle radius R to the Thomas-Fermi screening length l, and ε is the material dielectric constant. The addition of surface localized states drives C toward C[sub 0]. 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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