AN ANALYSIS OF TRANSITION TEMPERATURES OF THE VARIOUS OBSERVED PHASES IN BICOMPONENT LIQUID CRYSTAL MIXTURES USING LINEAR EQUATIONS

Abstract: This study investigates the transition temperatures of various mesophases in binary liquid crystal mixtures using Differential Scanning Calorimetry (DSC) and linear regression analysis (LRA). The transition temperature (T) is analyzed as a function of concentration (C) and scan rate (S) using linear equations of the form T = aC + b and T = mS + c, where a, b, m, and c are fitting parameters. The results confirm that phase transitions follow a linear trend with these variables, validating the predictive capability of the model. DSC and LRA were employed to systematically evaluate the thermal behaviour of binary liquid crystal mixtures. The DSC thermograms provided precise transition temperature data, which were further analysed using linear regression to establish empirical relationships between phase transition temperatures and experimental parameters such as scan rate and concentration. This approach enabled a quantitative assessment of phase stability, offering valuable insights into the molecular interactions governing the mesophases in liquid crystal systems. The focus is on mixtures of Cholesteryl Myristate (ChM) and 4-n-Decyloxybenzoic Acid (DOBA), two well-known mesogenic compounds. DSC thermograms were recorded at different scan rates to determine phase transition temperatures. The experimental data were analyzed using linear equations to model the relationship between scan rate and transition temperatures. Results indicate that transition temperatures vary linearly with scan rate, providing insights into molecular interactions and phase stability in liquid crystal mixtures. These findings are essential for optimizing liquid crystal materials for electro-optical applications.