Mesomorphism in a binary mixture of non-mesogens: A thermo-physical study

A comprehensive study on a liquid crystal formed by mixing two non-mesogens, viz., cholesterol and cetyl alcohol has been carried out. Polarized microscopic observations confirmed that the mixture exhibits smectic A phase below 48.2 °C. The mechanism possible for the formation of ordered liquid crystal phase when two non-mesogens are mixed is discussed. Density measured using a precision density meter was found to drop drastically in the vicinity of isotropic to smectic A transition temperature. The density fluctuations at the transition are discussed on the basis of: (i) the long wavelength limit of the structure factor and (ii) the critical exponent evaluated using modified Landaude Gennes theory. The ultrasound velocity, determined using the interferometer method, drops drastically near the smectic Aisotropic transition temperature. The temperature-dependent data of density and ultrasound velocity enabled the evaluation of the adiabatic compressibility and acoustic impedance. The specific heat at constant pressure measured using differential scanning calorimetry shows a large increase in the vicinity of the phase transition. A correlation of thermodynamic functions to thermo-elastic properties was established through thermodynamic route. This relationship, along with experimentally measured quantities forms the basis for the thermo-physical characterization of the mixture. This facilitated the evaluation of specific heat at constant volume, the ratio of specific heats, the isothermal compressibility and the Grneisen parameter across the smectic Aisotropic phase transition.