New electron configuration of the atoms according to the fractal structure

Abstract

The electron configuration of atoms is recognized for its well-defined hierarchy of progressive models with guaranteed convergence to the exact result and for its significant contributions to fundamental sciences through various applications. In traditional electron configurations of atoms, the principal quantum numbers are always positive integers and describe the energy levels of the electrons in an atom. The concept of noninteger (effective) principal quantum numbers, first proposed by Slater, has appeared in some advanced and theoretical contexts, often involving the true total energy of systems or extensions beyond standard approximation models. This phenomenon, the origin of which is still unclear, has recently been solved by explaining that it is due to the fractal structure of atoms and molecules, which is also considered proof that atoms and molecules have a fractal structure. In this paper the new electron configuration of atoms is proposed, the main concept of this configuration is based on the fractal nature of atoms and molecules, in which the general configuration includes noninteger principal quantum numbers is in viewpoint. The paper addresses the electron configuration of atoms according to the fractal structure of atoms, a longstanding problem in quantum physics that remains unsolved despite considerable interest and theoretical progress. It is believed that the proposed new electron configuration method will provide excellent progress in the study of the atomic and molecular structure of natural sciences.