A near-nucleus correction for the finite-temperature Thomas-Fermi model

1991 ◽  
Vol 24 (5) ◽  
pp. 873-879 ◽  
Author(s):  
S Pfalzner ◽  
S J Rose
Keyword(s):  
Finite Temperature ◽  
Fermi Model ◽  
Thomas Fermi

Relativistic finite-temperature Thomas-Fermi model

2017 ◽  
Vol 24 (11) ◽  
pp. 112901 ◽  
Author(s):  
Gérald Faussurier
Keyword(s):  
Finite Temperature ◽  
Fermi Model ◽  
Thomas Fermi

Comparison of Variational Solutions of the Thomas-Fermi Model in Terms of the Corrected Ionization Energy

1987 ◽  
Vol 42 (9) ◽  
pp. 943-947
Author(s):  
I. Agil ◽  
A. Alharkan ◽  
H . Alhendi ◽  
A. Alnaghmoosh
Keyword(s):  
Ionization Energy ◽  
Trial Function ◽  
Binding Energies ◽  
Initial Slope ◽  
Fermi Model ◽  
Thomas Fermi ◽  
Variational Solutions ◽  
Comparison Of The Results

It is shown that leading corrections, to the ionization energy, of many-electrons atom, can be expressed as leading corrections of initial slope of trial variational solutions of the Thomas-Fermi equation. Some variational solutions with different initial slopes are compared. A comparison of the results shows, that as far as the binding energies are concerned a trial function with its slope not close to the (negative) Baker’s constant may not be suited.

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