Abstract
Certain properties of the isotropic phases of nematogenic liquid crystals are observed to diverge as the transition to the nematic phase is approached. Here we develop a molecular field theory for the divergence or bifurcation temperature, T*, of nematogens composed of flexible molecules. The theory is based on an extension of the Marcelja model and results in a relatively simple expression for the divergence temperature because of the low orientational order. The molecular factors which influence T* are considered in detail. The theory is used to predict the variation in the divergence temperature along two homologous series. In one, the 4-n-alkyloxy-4′-cyanobiphenyls, there is a single flexible alkyl chain attached to a mesogenic group while in the other series, the α-ω-bis(4,4′-cyanobiphenyloxy)alkanes, the alkyl chain links two mesogenic groups. The theory predicts a significantly larger alternation in T* and T*/T NI for the series of dimers than for the conventional nematogens. These predictions are in agreement with results for a main chain liquid-crystalline polymer and have subsequently been confirmed for the dimers.