Use of Recurrence Relations for Approximating Properties of Any Homologs of Organic Compounds

摘要

Mathematical properties of recurrence relations,making them applicable to approximating various physicochemical constants of organic compounds (A) in homologous series,are discussed.The relation- ship A(n+1)=aA(n)+b is shown to be valid not only for single-chain linear homologs,but also for com- pounds of the same series with branched alkyl substituents and in groups of homologs of other types (multi- chain,cyclic,insertion).Equations relating the coefficients a and b of the recurrence equations for multichain and normal linear groups of homologs are derived.