Partition of the probability space formally related to isomorphism of minerals

A formally axiomatic approach to the phenomenon of isomorphism is considered. Empirical facts of isomorphism are investigated as subsets. The wide spread of isomorphism has the property for all xP(x). The construction of subsets in the 'main element-impurity element' coordinates revealed a structure that made it possible to statistically estimate the symmetry and dissymmetry of elements of this structure, construct the probability space (ω, F, P), and divide this space into sectors reflecting the dimension of atomic/ionic radii.