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KIAM Preprint  69, Moscow, 2022
Authors: Shpatakovskaya G.V.
Atomic number similarity law in individual electronic shells of all natural elements
Abstract:
Experimental data on the electronic binding energies in individual K, L, M, N, O, P shells for all atoms from hydrogen to uranium are analyzed using special reduced coordinates. The atomic number similarity law is found in every subshell and it is expressed through two smooth functions. The violation of smoothness usually indicates measurement errors and a change in slope indicates a filling subshell. The polynomial approximation of the functions allows restore missing or erroneous data with an accuracy of 12%.
Keywords:
periodic table of elements, orbital energy, electron binding energy, electron shell, atomic number self-similarity, semi-classical method
Publication language: english,  pages: 14
Research direction:
Mathematical modelling in actual problems of science and technics
English source text:
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About authors:
  • Shpatakovskaya Galina Vasilevna,  orcid.org/0000-0002-8430-9114KIAM RAS