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 TF

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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

机译：l自由原子的l壳的电子，作为球上点的规则系统：III。元素周期表中电子自组织的因素

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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. (C) 2005 Pleiades Publishing, Inc.

机译：考虑确定在周期表的不同水平上原子的电子系统的自组织的因素。具体而言，这些因素是空间的各向同性和三维性质以及电子的不可分辨性。使用单纯形的概念，其顶点对应于处于系统势的全局最小值的状态下的规则粒子系统（给定空间的数量最小）。这些因素实现了元素周期表中的简单性原理（少量粒子）和层次结构。 s，p，d和f壳的势的全局最小值在奇维空间中达到。在三维空间中，与s和p壳相反，d和f壳通过壳混合达到了这样的最小值。（C）2005年Pleiades Publishing，Inc.

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《Crystallography reports》 |2005年第5期|共6页
作者
Veremeichik TF;
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正文语种 eng
中图分类晶体学;
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CLUSTERS;

机译：集群;

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1. 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 [J] . Veremeichik TF Crystallography reports . 2005,第5期

机译：l自由原子的l壳的电子，作为球上点的规则系统：III。元素周期表中电子自组织的因素
2. Electrons of l shells of free atoms as a regular system of points on a sphere: II. Some manifestations of the symmetry of electron shells of ions of transition metals in ordered media [J] . Veremeichik TF, Galiulin RV Crystallography reports . 2004,第6期

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3. Electrons of l shells of free atoms as a regular system of points on a sphere: I. Modeling by polyhedra [J] . Veremeichik TF, Galiulin RV Crystallography reports . 2004,第5期

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4. Atom images and diffraction patterns of high Tc superconductors photographed by Ca-L2,3 shell loss electrons [C] . H. Hashimoto, Z.P. Luo, M. Kawasaki, Institute of Physics Electron Microscopy and Analysis Group conference . 1997

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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

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