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Description of the even-odd alternation of the clearing temperatures over homologous series of mesogens by second-order differential equations

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Abstract

It is shown for liquid crystals of various chemical classes that the nematic-isotropic transition temperatures in homologous series of compounds undergoing enantiotropic transitions are described by secondorder inhomogeneous recurrent equations with constant coefficients: T(n + 2) = aT(n + 1) + bT(n) + c (n is the number of alkyl carbon atoms). Solutions of the corresponding differential equations as T(n) functions allow reproduction of the even-odd alternation of the clearing temperatures.

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Correspondence to E. P. Sokolova.

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Original Russian Text © E.P. Sokolova, A.N. Marinichev, 2009, published in Zhurnal Obshchei Khimii, 2009, Vol. 79, No. 1, pp. 18–25.

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Sokolova, E.P., Marinichev, A.N. Description of the even-odd alternation of the clearing temperatures over homologous series of mesogens by second-order differential equations. Russ J Gen Chem 79, 16–23 (2009). https://doi.org/10.1134/S1070363209010034

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  • DOI: https://doi.org/10.1134/S1070363209010034

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