Description of the Even-Odd Alternatio of the Clearing Temperatures over Homologous Series of Mesogens by Second-Order Differential Equations

摘要

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 second-order 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.