Abstract
The applicability of the unified first order recurrent equations A(n + 1) = aA(n) + b to the approximation of the physicochemical constants of various organic compounds (not only members of homologous series), previously found for normal boiling points, was extended to the dielectric constant (ε). This tendency is equivalent to the general procedure for calculating the ε of any compound from the data for preceding homologs with an accuracy comparable to the average interlaboratory reproducibility of the results of ε measurements. To substantiate this universal character of recurrent relations we consider the analogy between the constants of successive homologs and the recursive numerical sequences (Fibonacci and Padovan sequences versus Lucas and Perrin sequences, respectively).
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Original Russian Text Copyright © 2007 by I. G. Zenkevich
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Translated from Zhurnal Strukturnoi Khimii, Vol. 48, No. 6, pp. 1072–1081, November–December, 2007.
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Zenkevich, I.G. Recurrent equations of physicochemical constants for homologs substantiated with numerical sequences. J Struct Chem 48, 1006–1014 (2007). https://doi.org/10.1007/s10947-007-0164-z
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DOI: https://doi.org/10.1007/s10947-007-0164-z