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The electro-optical and structural properties of chiral lactic acid derivatives with keto linkage group ((S)-4-((1-alkoxy-1-oxopropan-2-yloxy) carbonyl)phenyl4’-alkyloylbiphenyl-4-carboxylates denoted as KL n/m) exhibiting Sm C* phase and Sm A*−Sm C* phase transition have been studied by using a thermodynamic model based on Landau-de-Gennes theory. The free-energy density of the system is expanded in terms of three degrees of freedom – tensor orientational order, the scalar smectic order, the polarisation vector P, the wave vector q, and the couplings between these order parameters. The values of the Landau coefficients involved in the free-energy density have been calculated by comparing the experimental data of tilt angle, spontaneous polarisation, and pitch of KL n/m. The theoretical and experimental data have been analysed, and a close agreement has been found between the two.

Thermodynamic model to study the ferroelectric behaviour of lactic acid derivatives with keto linkage group