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Estimating Physicochemical Properties of Simplest Homologue Using Recurrent Relations


It is shown on the examples of normal boiling points (Tb) and relative densities of organic compounds from several homologous series that the values of physicochemical properties (A) of simplest homologues can be estimated from those of the adjacent homologues whose molecules differ by one carbon atom. This can be achieved by using simplest recurrent relations A(n) = aA(n ± 1) + b (n is the number of carbon atoms in the molecule; a, b are the coefficients calculated by the least squares method) which are applicable for all sets of various series with the same homologous differences (CN2 or CF2). It is shown that the estimations based on the data obtained from “zero” or first homologues containing only hydrogen atoms or methyl groups in their molecules are 3-4 times less exact than those obtained for the homologues with larger numbers of carbon atoms in the molecule. This is explained by objective anomalies common to the properties of simplest homologues of all series and caused, among other reasons, by structural factors. A method is proposed to offset the anomalies in Tb values of the first members of the series using additive corrections.

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Correspondence to I. G. Zenkevich.

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Russian Text © The Author(s), 2019, published in Zhurnal Strukturnoi Khimii, 2019, Vol. 60, No. 7, pp. 1075-1084.

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Zenkevich, I.G. Estimating Physicochemical Properties of Simplest Homologue Using Recurrent Relations. J Struct Chem 60, 1027–1036 (2019).

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  • simplest homologues of different series
  • estimation of physicochemical properties
  • recurrent relations
  • normal boiling point
  • relative density