The discreteness of vibration frequencies of diffusion coefficients of rare - earth elements ions in the forming gel of silicon acid is considered. The existence of at least three vibration frequencies being more probable for the gel system in question is established. The agreement of these results with the experiments studying the behaviour of pacemakers in zirconium oxyhydrate gels is shown. This agreement and the frequency discreteness mentioned prove the early assumption [1] that structuring of different gels proceeds through the process of formation and interaction of stable sites in a polymer structure of a discrete size (attractor). The system of attractors is of a fractal nature. The regularities established reflect the general nature of the gelation with any types of a gel-forming polymer and ions diffusing in the micellar solution.