Theoretical algorithm for fast calculation of interatomic bonds as applied to metallic hydrogen and carbon condensates

Abstract A method for calculating the potential energy of interatomic interaction, an alternative to the use of significant computer resources, is proposed. The algorithm was tested on the example of 1S-1S bonds, in particular, in hydrogen, as well as 2S-2S and 2 P-2P bonds, in particular, in carbon. It is shown that bound states can be formed in all three cases, but the interacting atoms must overcome the potential barrier. The presence of a barrier makes it possible to explain a number of known features in the formation of the corresponding condensates.