Unimerism

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Abstract
It is pointed out that, in the development of structural organic chemistry, those compounds which have no structural isomers play a crucial role. Since no general name has ever been given to compounds which meet this condition, they are here called ``unimers.'' It is further shown that the molecular formula of a unimer must necessarily fulfill certain mathematical conditions. These conditions are set forth in nine theorems. Some of these theorems are almost self‐evident; for others, the proofs, although simple in plan, are exceedingly intricate in application. Consequently, the reader is referred for all proofs to a purely mathematical paper which will be published in the American Journal of Mathematics. Finally, a complete list of unimeric types is given.

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