Nanotechnology is based on our knowledge about the atomic structure of substances and laws of its formation. We offer for the first time an analysis of the characteristic angles of interatomic bonds on the basis of the abstract wave theory of probabilistic processes.
Discrete elements of the wave probabilistic field are considered as "atoms" of such an abstract discrete-wave field. The correspondence of the mass numbers of the abstract atoms of the probabilistic wave field with the atoms of real physical space is demonstrated here.
The application of a theory of the wave phase probability for material spaces in the solid state is presented. The material realization of the superposition of elementary solutions, obtained from the equation for the wave field of probability, is shown in concrete examples of the crystal structure of natural minerals. The characteristic angles of the minerals are compared with the corresponding angles of the polar function of the wave phase probability.
The theoretical data presented confirm that the directions of
the chemical bonds are determined by the superposition of elementary solutions
of the equations for the wave field of probability. These results can be
used for the prediction of the molecular and crystalline structures at
the nanoscale level.