Non-uniformity in the distribution of crystallization ability and isomorphism

Abstract

The basis of the modern concept of the regularity in the formation of faces lies in the principle of correspondence between the order of importance of faces (manifested both in their very appearance and in their size) and the order of their reticular density. This principle is derived from experience as a statistical law, that is, not as an exact law that manifests always and unconditionally, but as a regularity, which manifests itself in a significant majority of cases. The exceptions that we generally find in experience by no means exclude the idea of the absolute significance of the order of the density of faces, but they indicate that the formation of faces, in addition to this absolute factor, is influenced by other factors, the significance of which has not yet been expressed numerically; and these factors may be quite numerous, since the degree of formation of particular faces is also influenced by various external, partly difficult-to-detect conditions.

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