# Self-capacitance of a Thomas-Fermi nanosphere

## Related Articles

- Semiclassical approach to the description of the basic properties of nanoobjects. Kornyushin, Y. // Low Temperature Physics;Oct2008, Vol. 34 Issue 10, p838
A review of results obtained in the framework of the semiclassical approach in nanophysics is presented. A semiclassical description based on electrostatics and the Thomas-Fermi model is used to calculate the dimensions of the electronic shell of a fullerene molecule and a carbon nanotube. This...

- Lateral confinement in quantum nanostructures: Self-consistent screening potentials. Luscombe, James H.; Luban, Marshall // Applied Physics Letters;7/2/1990, Vol. 57 Issue 1, p61
Self-consistent lateral confining potentials and carrier density functions are computed for quantum nanostructures utilizing a finite-temperature Thomasâ€“Fermi approximation for the conduction electrons and the assumption of a uniform background of donor charges. The formation of the...

- Thomas--Fermi-like and average atom models for dense and hot matter. Fromy, P.; Deutsch, C.; Maynard, G. // Physics of Plasmas;Mar1996, Vol. 3 Issue 3, p714
Derives Thomas-Fermi approaches to thermodynamics and atomic physics properties of dense and ionized matter consisting of a single element. Comparison with a density-functional theoretical framework; Emphasis on equations of state, ionization, level shifts and radial moments; Thermonuclear...

- Particle acceleration at ultra-relativistic shocks and the spectra of relativistic fireballs. Gallant, Yves A.; Achterberg, Abraham; Kirk, John G.; Guthmann, Axel W. // AIP Conference Proceedings;2000, Vol. 526 Issue 1, p524
We examine Fermi-type acceleration at relativistic shocks, and distinguish between the initial boost of the first shock crossing cycle, where the energy gain per particle can be very large, and the Fermi process proper with repeated shock crossings, in which the typical energy gain is of order...

- On the adiabatic connection method, and scaling of electronâ€“electron interactions in the Thomasâ€“Fermi limit. Levy, Mel; March, Norman H.; Handy, Nicholas C. // Journal of Chemical Physics;2/1/1996, Vol. 104 Issue 5, p1989
In this paper we examine three aspects of electronâ€“electron scaling: (i) the electronâ€“electron repulsions are only scaled in Thomasâ€“Fermi theory; (ii) the electronâ€“electron repulsions are scaled, and the one electron potential is adjusted to give a prescribed density,...

- Erratum: Ground state densities from electron propagators: Optimized Thomasâ€“Fermi approximation for short wavelength modes [J. Chem. Phys. 92, 6687 (1990)]. Pratt, L. R.; Hoffman, G. G.; Harris, R. A. // Journal of Chemical Physics;9/15/1990, Vol. 93 Issue 6, p4493
Presents a correction to the article 'Ground State Densities From Electron Propagators: Optimized Thomas-Fermi Approximation for Short Wavelength Modes.'

- Gradient corrections for semiclassical theories of atoms in strong magnetic fields. Hainzl, Christian // Journal of Mathematical Physics;Dec2001, Vol. 42 Issue 12, p5596
This paper is divided into two parts. In the first one the von WeizsaÂ¨cker term is introduced to the magnetic Thomasâ€“Fermi theory and the resulting MTFW functional is mathematically analyzed. In particular, it is shown that the von WeizsaÂ¨cker term produces the Scott correction up...

- Multiple ionization of a Thomasâ€“Fermi cluster by a strong electromagnetic field. Smirnov, M. B.; Kraınov, V. P. // Journal of Experimental & Theoretical Physics;Jun99, Vol. 88 Issue 6, p1102
We develop a new model of a Thomas-Fermi cluster that describes the distribution of electrons in alkaline clusters with many atoms. We examine the classical multiple ionization of such a cluster by a strong electromagnetic field. Finally, we calculate the degree of ionization as a function of...

- A rigorous modified Thomasâ€“Fermi theory for atomic systems. Goldstein, Jerome A.; Rieder, Gisèle Ruiz // Journal of Mathematical Physics;May87, Vol. 28 Issue 5, p1198
Recently Parr and Ghosh [Proc. Natl. Acad. Sci. USA 83, 3577 (1986)] proposed a variant of the classical Thomasâ€“Fermi theory of electrons in an atom. They produced a continuous electron density by introducing the constraint that the integral âˆ«R3 e-2k|x| Î”Ï(x)dx exists, where k...