Algebraic Interpretation of the Extended Harkins Rule for Elements of the First, Seventh, and Zero Groups of Mendeleev's Periodic Law

摘要

The well-known qualitative Harkins rule about the greater occurrence of elements with an even number of protons in the nuclei (hereafter, p~+ elements) as compared to the elements containing an odd number of protons (hereafter, p~- elements) was developed in an algebraic form suggested both for the approximation and forecast of the content of lanthanides in rocks and ores of the Earth and for the approximation of the content of lanthanides in chondrites. At the same time, a similar qualitative formulation of the greater occurrence of elements with an even number of neutrons in the nuclei (hereafter, n~+ elements), as compared to the elements containing an odd number of neutrons (hereafter, n~- elements), which we shall call the extended Harkins rule, does not have a corresponding algebraic interpretation. In this study, we formulate the problem of constructing such an interpretation and verifying it using representative experimental material.