Recurrent formulas of electron states of atoms

The purpose of the article is to establish the general physical patterns of the structures of the periodic table, following from the specifics of the quantum Coulomb interaction of electrons in the atomic domain, taking into account the characteristics of their configuration state. The analysis of tabular experimental data illustrates the pattern of atomic-ion groups sinking into a potential well, which deepens with increasing charge of the atomic nucleus and allowed us to establish regular relationships between a number of configuration electronic states for atoms from hydrogen to krypton. The calculated values of the binding energies for these states differ from the tabular data in the third significant digit for the entire range Z from 1 to 36.