The conclusion is that Ettore Majorana played an effective leadership in Rome for the very conceptual formulation of the statistical model for atoms. At an ionized impurity concentration of 2 × 10 16, the results obtained using the ThomasFermi screening model start to deviate from the results using other screening models due to the underestimation of the screening length but will give the same mobility at a very high doping concentration of 1 × 10 20. Moreover, we trace the path leading Fermi to the eventual late acceptance of Majorana improvement, also with the help of the material in Fermi Archives in Pisa. We analyze the improved model proposed by Majorana, with the help of unpublished notes, kept in the Majorana Archives in Pisa. However, it was finally exploited, without reference, in the 1934 conclusive paper by Fermi and Amaldi on the statistical model for atoms. The Majorana proposal was not accepted by Enrico Fermi for years, and forgotten. This communication did not receive any mention, neither in the numerous publications of Fermi and his associates on the subject, nor in the further reconstructions of the life and activity of Ettore Majorana. Ettore Majorana proposed an important improvement to the Thomas-Fermi statistical model for atoms, with a communication at the general meeting of the Italian Physical Society, held in Rome, on December 29th, 1928, regularly published on Nuovo Cimento.
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