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Periodic table of the elements and the Thomas–Fermi atom
Author(s) -
Essén Hanno
Publication year - 1982
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560210406
Subject(s) - periodic table , atom (system on chip) , atomic number , fermi gamma ray space telescope , table (database) , electron , algebraic number , monotonic function , physics , atomic theory , quantum mechanics , atomic physics , condensed matter physics , mathematics , mathematical analysis , computer science , data mining , embedded system
How the monotonic trend on which the periodicity of the periodic system is superposed is well described by Thomas–Fermi theory is explained. The mathematical structure of the periodicity is elucidated and explained. Algebraic formulas for the key atomic numbers are derived, e.g., the atomic number at which l electrons first appear is given by Z f () = 4 (∑ n=0 n 2 )+1.