Gauss-type charge density distribution

Figure 2. Gauss-type charge density distribution, p R) = po/e [ see Eq. (76) ].

The Gauss-type charge density distribution is given by the following... 

The Sum-of-Gaussians expansion was introduced by Sick [67] as a model-independent way to describe the nuclear charge density distribution, and is an expansion in terms of symmetrized Gauss-type functions (see also Fig. 6) ... 

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. 

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