Molecular motions in liquid crystals cover a broad dynamic range, extending from the fast rotational to the ultra slow motional regime. NMR relaxation studies are designed to follow these motions and to differentiate the various motional modes. Generally, measurement of the anisotropy and frequency dispersion of the nuclear spin relaxation times provides a sufficient number of independent experiments necessary for a proper characterisation of the dynamics of these systems. Analysis of the experiments is conveniently achieved by employing a density operator treatment, based on the stochastic Liouville equation. Relaxation experiments in one and two dimensions can be considered. The method of analysis is also applicable in the slow motional and/or low field regime, where the conventional relaxation theories no longer apply. The complex molecular dynamics of liquid crystals is characterised by a superposition of local and collective motions, comprising internal isomerisation, overall rotational diffusion and collective order fluctuations. By employing several different relaxation techniques, motions can be studied over a dynamic range of more than ten decades of correlation times. In addition, various types of molecular order, modulated by the different motions, are detected.
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Kothe, G., Stohrer, J. (1994). Nuclear Spin Relaxation and Molecular Motion in Liquid Crystals. In: Luckhurst, G.R., Veracini, C.A. (eds) The Molecular Dynamics of Liquid Crystals. NATO ASI Series, vol 431. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1168-3_8
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