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arXiv · 1912.00205

On the excess charge of a relativistic statistical model of molecules with an inhomogeneity correction

Hongshuo Chen·Heinz Siedentop
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Abstract

We show that the molecular relativistic Thomas-Fermi-Weizs\"acker functional consisting of atoms of atomic numbers $Z_1,...,Z_k$ has a minimizer, if the particle number $N$ is constrained to a number less or equal to the total nuclear charge $Z:=Z_1+...+Z_K$. Moreover, there is no minimizer, if the particle number exceeds $2.56 Z$. This gives lower and upper bounds on the maximal ionization of heavy atoms.

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Hongshuo Chen, Heinz Siedentop. 2019-11-30. On the excess charge of a relativistic statistical model of molecules with an inhomogeneity correction. https://doi.org/10.1088/1751-8121%2Faba4d3

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