Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Electrons of l shells of free atoms as a regular system of points on a sphere: III. Factors of self-organization of electrons in the periodic table

Electrons of l shells of free atoms as a regular system of points on a sphere: III. Factors of... Abstract The factors determining the self-organization of the electron system of an atom at different levels of the periodic table are considered. Specifically, these factors are the isotropy and three-dimensional nature of space and the indistinguishability of electrons. The concept of a simplex is used, whose vertices correspond to a regular system of particles (minimum in number for a given space) in the state of the global minimum of the system’s potential. These factors implement the principle of simplicity (small number of particles) and hierarchy in the periodic table of elements. The global minimum of the potential of s, p, d, and f shells is reached in odd-dimensional spaces. In a three-dimensional space, such a minimum is reached for d and f shells, in contrast to s and p shells, through shell mixing. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Crystallography Reports Springer Journals

Electrons of l shells of free atoms as a regular system of points on a sphere: III. Factors of self-organization of electrons in the periodic table

Veremeichik, T. F.
Crystallography Reports , Volume 50 (5): 6 – Sep 1, 2005
Download PDF
6 pages

Loading next page...
 
/lp/springer-journals/electrons-of-l-shells-of-free-atoms-as-a-regular-system-of-points-on-a-yoaBXG3cnZ

References (23)

Publisher
Springer Journals
Copyright
2005 Pleiades Publishing, Inc.
ISSN
1063-7745
eISSN
1562-689X
DOI
10.1134/1.2049386
Publisher site
See Article on Publisher Site

Abstract

Abstract The factors determining the self-organization of the electron system of an atom at different levels of the periodic table are considered. Specifically, these factors are the isotropy and three-dimensional nature of space and the indistinguishability of electrons. The concept of a simplex is used, whose vertices correspond to a regular system of particles (minimum in number for a given space) in the state of the global minimum of the system’s potential. These factors implement the principle of simplicity (small number of particles) and hierarchy in the periodic table of elements. The global minimum of the potential of s, p, d, and f shells is reached in odd-dimensional spaces. In a three-dimensional space, such a minimum is reached for d and f shells, in contrast to s and p shells, through shell mixing.

Journal

Crystallography Reports – Springer Journals

Published: Sep 1, 2005

There are no references for this article.