Twist-bend nematic phase of the liquid crystal dimer CB7CB: orientational order and conical angle determined by 129Xe and 2H NMR spectroscopy

The liquid crystal dimer 1",7"-bis(4-cyanobiphenyl-4'-yl) heptane (CB7CB) has been shown to possess a nematic-nematic phase transition at 376K. The phase below this temperature has been identified as a globally uniaxial twist-bend nematic phase, N-TB. Within the temperature range 376-388K, a classic uniaxial nematic phase, N, appears. The N-TB phase has a helical structure and the liquid crystal director, n, is tilted with respect to the helix axis; these are formed into a conglomerate of degenerate domains having opposite handedness. In a magnetic field, the helix axis orients along the field. In the present studies, the properties of CB7CB are investigated using Xe-129 NMR spectroscopy of dissolved xenon and H-2 NMR of CB7CB-d(4) and the probe 4-octyl-4'-cyanobiphenyl-d(2) also dissolved in CB7CB. In a uniaxial liquid crystalline environment, the Xe-129 shielding tensor is cylindrically symmetric due to the deformation of the electron cloud by anisotropic forces associated with the director. The anisotropic part of the shielding tensor depends upon the orientational order parameter of the liquid crystal with respect to the applied magnetic field and the conical (aka tilt) angle of the director. The temperature dependence of the orientational order parameter and of the conical angle has been determined independently from Xe-129 and previous H-2 NMR experiments. In the N-TB phase, the averaged Saupe ordering matrix contains three off-diagonal elements. The temperature dependence of one of these, resulting from the phase chirality, has been determined from the H-2 quadrupolar splittings.