Thomas-Fermi theory revisited

2002 ◽  
Vol 90 (1) ◽  
pp. 262-265 ◽  
Author(s):  
R. K. Nesbet
Keyword(s):  
Fermi Theory ◽  
Thomas Fermi

Thomas-Fermi Theory of an Inhomogeneous Electron Liquid Generalized to Incorporate Density Gradients

1998 ◽  
Vol 36 (2) ◽  
pp. 91-103 ◽  
Author(s):  
C. Amovilli ◽  
N. H. March ◽  
T. G. Schmalz ◽  
D. J. Klein
Keyword(s):  
Density Gradients ◽  
Fermi Theory ◽  
Thomas Fermi

New Thomas-Fermi theory: A test

1982 ◽  
Vol 25 (4) ◽  
pp. 2399-2401 ◽  
Author(s):  
Lester L. DeRaad ◽  
Julian Schwinger
Keyword(s):  
Fermi Theory ◽  
Thomas Fermi

scholarly journals Caloric curve for finite nuclei in Thomas-Fermi theory

1997 ◽  
Vol 55 (4) ◽  
pp. R1641-R1644 ◽  
Author(s):  
J. N. De ◽  
S. Das Gupta ◽  
S. Shlomo ◽  
S. K. Samaddar
Keyword(s):  
Fermi Theory ◽  
Thomas Fermi ◽  
Caloric Curve ◽  
Finite Nuclei

On sodium clusters in C60 fullerides

1997 ◽  
Vol 75 (1) ◽  
pp. 77-82 ◽  
Author(s):  
M. Apostol ◽  
F. Rachdi ◽  
C. Goze ◽  
L. Hajji
Keyword(s):  
Electric Charge ◽  
The Body ◽  
Electron Charge ◽  
Body Centered Cubic ◽  
Fermi Theory ◽  
Fermi Model ◽  
Thomas Fermi ◽  
Sodium Clusters ◽  
Alkali Fullerides

Sodium (Na) clusters in octahedral cages of Na-intercalated fullerides Na6C60 and Na11C60 are studied within a Thomas–Fermi model. It is shown that the tetrahedral Na4 cluster in Na6C60 has an electric charge ~ +2.7 (in electron charge units), while the body-centered cubic Na9 cluster in Na11C60 is almost electrically neutral. Keywords: sodium clusters, alkali fullerides, Thomas–Fermi theory, ionization charge.

Application of extended thomas-fermi theory to the interlayer binding of graphite

1990 ◽  
Vol 12 (6) ◽  
pp. 749-755
Author(s):  
A. Mañanes ◽  
E. Santos
Keyword(s):  
Fermi Theory ◽  
Thomas Fermi

scholarly journals The Thomas-Fermi theory of atoms and expectation values of electron positions

1982 ◽  
Vol 43 (9) ◽  
pp. 1339-1351 ◽  
Author(s):  
I.K. Dmitrieva ◽  
G.I. Plindov ◽  
S.K. Pogrebnya
Keyword(s):  
Fermi Theory ◽  
Expectation Values ◽  
Thomas Fermi

scholarly journals ATOMS IN THE ANIONIC DOMAIN, Z < N

2013 ◽  
Vol 27 (24) ◽  
pp. 1350178 ◽  
Author(s):  
GABRIEL GIL ◽  
AUGUSTO GONZALEZ
Keyword(s):  
Ionization Potential ◽  
Neutral Atom ◽  
Nuclear Charge ◽  
Instability Threshold ◽  
The Other ◽  
Covalent Radius ◽  
Energy Curve ◽  
Fermi Theory ◽  
Thomas Fermi ◽  
Linear Behavior

We study atoms with N electrons, and nuclear charge Z. It is well known that the cationic regime, Z > N, is qualitatively described by Thomas–Fermi theory. The anionic regime, Z < N, on the other hand, is characterized by an instability threshold at Zc ≲ N-1, below which the atom spontaneously emits an electron. We compute the slope of the energy curve at Z = N - 1 by means of a simple model that depends on the electron affinity and the covalent radius of the neutral atom with N - 1 electrons. This slope is used in order to estimate Zc, which is compared with previous numerical results. Extrapolation of the linear behavior in the opposite direction, up to Z = N, allows us to estimate the ionization potential of the atom with N electrons. The fact that the obtained ionization potentials are qualitatively correct is an indication that, with regard to certain properties, neutral atoms are closer to the anionic instability threshold than they are to the Thomas–Fermi, large Z, region. A regularized series is written for the ionization potential that fits both, the large Z and Z → Zc limits.

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