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arXiv · 2506.14227

The angular momentum distribution of electrons in large atoms and its deviation from Madelung's rule

August Bjerg·Søren Fournais·Peter Hearnshaw·Jan Philip Solovej
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Abstract

We show that the angular momentum distribution of neutral atoms, in the sense of occupation numbers, follows the Thomas-Fermi angular momentum distribution in the limit of large atomic number. In particular, we show that the angular momentum distribution of large atoms deviates from the well-known Madelung rule.

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August Bjerg, Søren Fournais, Peter Hearnshaw, Jan Philip Solovej. 2025-06-17. The angular momentum distribution of electrons in large atoms and its deviation from Madelung's rule. https://arxiv.org/abs/2506.14227

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