Shell Structure and the Thomas-Fermi Equation of State

1968 ◽  
Vol 176 (1) ◽  
pp. 279-284 ◽  
Author(s):  
J. W. Zink
Keyword(s):  
Equation Of State ◽  
Shell Structure ◽  
Thomas Fermi

scholarly journals X ɑ Method with Pseudopotentials

1980 ◽  
Vol 35 (6) ◽  
pp. 628-636 ◽  
Author(s):  
Levente Szasz
Keyword(s):  
Shell Structure ◽  
Virial Theorem ◽  
Radial Density ◽  
Fermi Model ◽  
New Formalism ◽  
Density Dependent ◽  
Thomas Fermi

The l a method for an atom or molecule is transformed into an all-electron pseudopotential formalism. The equations of the X ɑ method are exactly transformed into pseudo-orbital equations and the resulting pseudopotentials are replaced by simple density-dependent potentials derived from Thomas-Fermi model. It is shown that the new formalism satisfies the virial theorem. As the first application it is shown that the model explains the shell-structure of atoms by the property that the pseudo-orbitals for the (ns), (np), (nd) etc. electrons are, in a very good approximation, the solutions of the same equation and have their maxima at the same point thereby creating the peaks in the radial density characterizing the shell structure

Equation of state of a dense boron plasma by Thomas–Fermi–Dirac–Weizsäcker molecular dynamics

2008 ◽  
Vol 15 (7) ◽  
pp. 072704 ◽  
Author(s):  
J.-F. Danel ◽  
L. Kazandjian ◽  
G. Zérah
Keyword(s):  
Molecular Dynamics ◽  
Equation Of State ◽  
Thomas Fermi
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