Fermi-type charge density distribution

A relation of this form, not for a but for a nuclear radius parameter R, has been proved first by Elton [17, App. C] for the two-parameter Fermi-type charge density distribution model (see Sect. 4.5). 

Fermi-type charge density distribution The Fermi-type charge density distribution is a two-parameter function given by the expression (see also Fig. 3)... 

Figure 3. Fermi-type charge density distributions [ b — 0.15, see Eq. (82) ].

The study of the electronic structure of diatomic species, which can nowadays be done most accurately with two-dimensional numerical finite difference techniques, both in the non-relativistic [90,91] and the relativistic framework [92-94], is still almost completely restricted to point-like representations of the atomic nuclei. An extension to allow the use of finite nucleus models (Gauss-type and Fermi-type model) in Hartree-Fock calculations has been made only very recently [95]. This extension faces the problem that different coordinate systems must be combined, the spherical one used to describe the charge density distribution p r) and the electrostatic potential V(r) of each of the two nuclei, and the prolate ellipsoidal one used to solve the electronic structure problem. 

Fig. 6.1 Band diagrams of a n-type semiconductor (a) prior to contact with the electrolyte solution (assuming no defects or surface state charges), (b) in contact with the solution in absence of illumination, (c) in contact with the solution in the presence of moderate illumination, and (d) in contact with the solution in the presence of intense illumination and at the Ef. Illustrated are the conduction band (Ec), Fermi level ( p), and valence band ( v) of the semiconductor. Also shown are the Gaussian distribution of the redox states in the solution, shown as the density of states of oxidized (Doxidized) and reduced (Dreduced) species along with the corresponding Fermi level (fipsoiution), as described in more detail elsewhere [1]...

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