Physics – Atomic Physics
Scientific paper
2011-02-09
Physics
Atomic Physics
35 pages, 9 Figures. submitted for proceedings of QSCP-XV (Cambridge 2010)
Scientific paper
This contribution reviews a selection of findings on atomic density functions and discusses ways for reading chemical information from them. First an expression for the density function for atoms in the multi-configuration Hartree--Fock scheme is established. The spherical harmonic content of the density function and ways to restore the spherical symmetry in a general open-shell case are treated. The evaluation of the density function is illustrated in a few examples. In the second part of the paper, atomic density functions are analyzed using quantum similarity measures. The comparison of atomic density functions is shown to be useful to obtain physical and chemical information. Finally, concepts from information theory are introduced and adopted for the comparison of density functions. In particular, based on the Kullback--Leibler form, a functional is constructed that reveals the periodicity in Mendeleev's table. Finally a quantum similarity measure is constructed, based on the integrand of the Kullback--Leibler expression and the periodicity is regained in a different way.
Borgoo Alex
Geerlings Paul
Godefroid Michel R.
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