Small-angle X-ray scattering from binary liquid-crystalline mixtures of polar and non-polar compounds

Abstract

The phase diagrams of several binary mixtures consisting of cyanobiphenyls and different terminally non-polar mesogenic compounds exhibit induced smectic A phases. The smectic A layer spacing, d, of these induced phases have been investigated by small-angle X-ray scattering as a function of the molar fraction x_i . Large deviations of the layer spacings from the additivity rule d _mix = σ x_id_i , have been observed in all mixed systems. Assuming a dimerization of the terminally polar compounds, the degree of association β(x) was calculated as a function of composition for different dimerization constants. The theoretical relations d _mix(x) obtained from the calculated β(x) values do not fit the experimental curves for d(x). This fact can be interpreted by the formation of weak complexes between the polar and the terminally non-polar molecules of the binary mixtures. This kind of complexing seems to be responsible for the formation of induced smectic phases of the S_Ad-type and might disturb the monomer-dimer equilibrium 2M _p D _p of the polar compounds.