Mathematical Chemical Periodicity

Abstract

LENGTHS of the periods and atomic numbers, L and Z, of a bidimensional continuous system based on the electronic structure of the elements, are numerical characteristics precisely definable, as functions of the principal and orbital quantum numbers n and l (0 ⩽l ⩽n − 1), by the following general equations: In these equations, the term of the periodical discontinuity, f(n + l), as a quantum number function, is or an equivalent, and E is the number of missing electrons required for the completion of the subshell in which the given element occurs. For E = 0, one expresses the distances from the last inert gas (partial lengths of the periods) and atomic numbers, respectively, of the subshell closing elements, so that, in the particular case of n = 1, the length of the complete periods and the atomic numbers of the inert gases are found.