Open AccessStructural wave-packet tessellation of the periodic table and atomic constitution in real R3 × SO(3) configuration space
Author(s) -
Erik Trell,
Godfrey E. Akpojotor,
Samuel Edeagu,
A. O. E. Animalu
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1251/1/012047
Subject(s) - tetrahedron , euclidean space , mathematics , space (punctuation) , matrix (chemical analysis) , infinitesimal , geometry , pure mathematics , combinatorics , physics , mathematical analysis , computer science , chemistry , chromatography , operating system
We describe a structural wave-packet layout in real solid state R 3 ×SO(3) configuration space of the SU(3) Lie algebra. Its infinitesimal ‘straight line of length equaling zero’ partial derivative root vectors hybridize with the parallelepiped outline of the R 3 frame into a cyclically expanding isometric vector matrix organization of a continuous one octahedron/two tetrahedrons helical trajectory of SO(3) symmetry. Thus enclosed by its dual scaffold it faithfully outlines the atomic constitution and the periodic table when following the systematic close-packing of its Euclidean space chaperon.