The properties of elementary particles, which determine the interactions between them, must result from the form and function of their internal structure. This investigation stems from the mathematical origin of the concept of particles and the introduction to the process of octal decomposition. It is then established that in order for the complete and specific identification of the dynamic and kinematic characteristics of the function of their internal structures, particles must be defined by a system of 16 dimensions, consisting of two subsystems of eight dimensions.