Electrophilicity of Molecules in Higher Dimensional Space

Abstract

The possibility of creating vacant electron orbitals in a space of higher dimension in the vicinity of the nucleus of an atom, leading to an increase in the electrophilicity of atoms and the chemical activity of elements due to the arrangement of electron pairs in these orbitals, is investigated. It is shown that the stationary Schrödinger equation describing the distribution of electrons in the vicinity of the atomic nucleus has a solution, in principle, for any dimensionality of the space around the nucleus. As an example, a solution of the Schrödinger equation in a five - dimensional space is obtained. It is shown that the solution of the Schrödinger equation in p - dimensional space has p quantum numbers: the principal quantum number, the orbital quantum number and p - 2 magnetic quantum numbers. Taking into account the spin quantum number, the total number of quantum numbers in p - dimensional space is p + 1. This leads to the possibility of increasing the number of quantum cells of orbitals and, consequently, to the possibility of increasing the valence of the elements.