The angular momentum distribution of electrons in large atoms and its deviation from Madelung's rule
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866913898305683456 |
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| author | Bjerg, August Fournais, Søren Hearnshaw, Peter Solovej, Jan Philip |
| author_facet | Bjerg, August Fournais, Søren Hearnshaw, Peter Solovej, Jan Philip |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14227 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The angular momentum distribution of electrons in large atoms and its deviation from Madelung's rule Bjerg, August Fournais, Søren Hearnshaw, Peter Solovej, Jan Philip Mathematical Physics 81V45, 81Q20 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. |
| title | The angular momentum distribution of electrons in large atoms and its deviation from Madelung's rule |
| topic | Mathematical Physics 81V45, 81Q20 |
| url | https://arxiv.org/abs/2506.14227 |