Structural wave-packet tessellation of the periodic table and atomic constitution in real R3 × SO(3) configuration space

Abstract

Abstract We describe a structural wave-packet layout in real solid state R3×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 R3 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.