To these results he was aided by the law of isomorphism formulated by E.
The following table shows where isomorphismmay be generally expected.
The elements are arranged in eleven series, and the series are subdivided (as indicated by semicolons) into groups; these groups exhibit partialisomorphism with the other groups of the same series (see W.
Isomorphism may be defined as the existence of two or more different substances in the same crystal form and structure, polymorphism as the existence of the same substance in two or more crystal modifications, and morphotropy (after P.
Isomorphism is most clearly discerned between elements of analogous chemical properties; and from the wide generality of such observations attempts have been made to form a classification of elements based on isomorphous replacements.
Isomorphism between the three forms, severally, of two trimorphous substances.
Isomorphism between the two forms severally of two dimorphous substances.
Moreover, theisomorphism is simple unless for one or more operations, other than identity, the sets all remain unaltered.
A subgroup of a group G, which is transformed into itself by every isomorphism of G, is called a characteristic subgroup.
In the first case the isomorphismis spoken of as simple, in the second as multiple.
G is isomorphic; and whether the isomorphism is simple or multiple g is said to give a "representation" of G as a group of linear substitutions.
An isomorphism of the group with itself, established in this way, is called an inner isomorphism.
In this case H would contain a self-conjugate subgroup, and the isomorphismis multiple.
Defn: Isomorphism between the two forms severally of two dimorphous substances.
Defn: Isomorphism between the three forms, severally, of two trimorphous substances.
The difficulties introduced into the study of minerals by the discovery of isomorphism and polymorphism, are no doubt considerable; but M.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "isomorphism" in a variety of sentences. We hope that you will now be able to make sentences using this word.
