Nuclear and Atomic Physics

2610 Submissions

[3] viXra:2610.0107 [pdf] submitted on 2026-10-29 21:24:20

Opposing Effects of Decentration and Jingoism on Understanding How Nuclear Properties Are Linked to Periodic Properties of All Atoms

Authors: Ikechukwu Udema
Comments: 20 Pages. License: CC BY-NC-ND (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org)

Atomic physics and nuclear matter physics were often studied separately until recently, when researchers linked hydrogenic properties to nuclear properties. What seemed a general presentation, such as Eini^2/Zeff^2 (where Ei, ni, and Zeff are the average ionization energy (IE) of any atom, hydrogenic and nonhydrogenic alike, and the principal quantum number, which is either equal to or greater than one, and effective nuclear charge, respectively), in the relational equation still pertains to the average ionization energy (EH) of hydrogen. No equation relates nuclear properties to the IE of nonhydrogenic atoms. The barrier to the furtherance of Bohr’s principle is due to mathematical jingoism, which nullifies the need for decentration. The goal of this study was to emphasize the need to be broad-minded in the search for knowledge by discovery coupled with an aura of intellectual decentration. The objectives included deriving an all-inclusive equation with a role for the mass radius of the proton to compute Bohr’s radius of any atom and the effective nuclear charge (ENC for short) and conducting a reproducibility test; elucidating the importance of IE (or ENC) in medicine. The methods were theoretical and computational. The new equation generated atomic radii for all 30 elements of the periodic table. The percentage of the calculated ionization energy (IE) compared to the literature values ranged from 99.999957% to 100.003%. Since the computed values of ENC, IE, and radii were very similar to literature values despite the presence of the mass radius of the proton (rP), it stands to reason, in conclusion, that the rP explored in this study was consistently valid. IE (or ENC) has scientific and medical applications. Indeed, there must not be any room for intellectual jingoism and disregard for intellectual decentration at a higher level. A future study should involve thirty other elements or fewer.
Category: Nuclear and Atomic Physics

[2] viXra:2610.0095 [pdf] submitted on 2026-10-27 20:34:22

Structures of the Atomic Nucleus

Authors: Vladimir Pastushenko.
Comments: 18 Pages.

There is no space without matter, and no matter outside of space. Dynamic space-matter is considered as a single entity. In dynamic space-matter, Euclidean space-time is a special case of a fixed state of dynamic space-matter . In such a dynamic space-matter, the mass spectrum of elementary particles is considered , and the charge of the proton and electron is calculated. The structures of stable atomic nuclei are examined.
Category: Nuclear and Atomic Physics

[1] viXra:2610.0059 [pdf] submitted on 2026-10-13 12:15:18

An Alternative Equation for Effective Nuclear Charge that is Applicable to All Atoms

Authors: Ikechukwu Udema
Comments: 16 Pages. DOI: https://doi.org/10.26434/chemrxiv.15010220/v1 (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org)

Although the advent of ionization energies predated Slater’s rule, there was unawareness of the utilitarian value of the former for the computation of effective nuclear charge (ENC for short) until recently and in this research. The study aimed to derive another equation in which the average ionization energies of hydrogen and any other multi-electron atom are independent variables. The objective was to answer the question in the literature that states, "Are Slater’s Rules the Best Approach for Calculating Effective Nuclear Charge for Undergraduates?" (Moore & Birnbaum, 2014) and compare the graphical portrayal of chemical periodicity between outcomes using data generated using Slater's rules for some elements and data generated in this research. By exploring theoretical and computational methods and the data in the literature, the study showed that ENC (1.34458-3.32446) for the first 30 elements computed using the 2021 CODATA fine structure constant (FSC, for short) was higher than those (1.34402-3.32309) without it; however, the equation containing the computed FSC using e^2/2_0hc and other equations gave the same value of ENC. The use of Slater’s result (atomic radii) for the computation of ENC (1.29859-5.06996) and average ionization energy, IE (553.21-2108.13 kJ), gave higher values than other methods. All plots using Slater’s values of ENC and IE versus atomic number (Z) did not show chemical periodicity (greater linearity), unlike the use of other values (less linearity or lower R^2). The new equation was derived, and with earlier equations, ENC can be accurately computed; they should therefore be part of the school curriculum at all levels without ceasing to teach Slater’s rule, which is not the best approach. A future study should include 30 other elements of the periodic table.
Category: Nuclear and Atomic Physics