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The Molecular Dynamics of Liquid Crystals by G. L. Hoatson, Y. K. Levine (auth.), G. R. Luckhurst, C. A.

By G. L. Hoatson, Y. K. Levine (auth.), G. R. Luckhurst, C. A. Veracini (eds.)

Liquid-crystalline levels at the moment are identified to be shaped via an ever growing to be variety of particularly diversified fabrics, those comprise these of low molecular weight in addition to the unconventional liquid-crystalline polymers, such levels can be caused by means of the addition of a solvent to amphiphilic platforms resulting in lyotropic liquid crystals. without reference to the constitution of the constituent molecules those a number of liquid-cl)'Stailine levels are characterized through their lengthy diversity orientational order. moreover convinced stages convey components of lengthy variety positional order. Our realizing, either experimental and theoretical, on the molecular point of the static behaviour of those attention-grabbing and critical fabrics is now good complex. against this the impact of the lengthy variety order; either orientational and positional, at the molecular dynamics in liquid Cl)'Stais is much less good understood. In an try and handle this case a NATO complicated examine Institute dedicated to liquid ctystal dynamics was once held at n Ciocco, Barga, Italy in September 1989. This introduced jointly experimentalists and theoreticians interested by many of the dynamical techniques happening in all liquid crystals. the abilities of the contributors was once impressively broad ranging; they spanned the experimental concepts utilized in the research of molecular dynamics, the character of the structures investigated and the theoretical versions hired to appreciate the implications. whereas a lot was once learnt it was once additionally known that rather more had to be performed with the intention to improve our realizing of molecular dynamics in liquid Cl)'Stais.

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25) I The effects of this particular kind of roto-translational coupling in the magnetic resonance spectra of probes dissolved in smectic phases have been analysed theoretically by Moro and Nordio [10] and studied experimentally by two dimensional electron-electron double resonance and electron spin-echo by Freed and coworkers [11]. 2. 2. 1. ) fonn a complete set in the space of the functions of the Euler angles, therefore they are a convenient basis to describe orientational properties. ) R = 11.

O Figure S"" -Syy II. 340. 424. 6. EXPERIMENTAL DETERMINATION: LINEAR DICHROISM We consider an example of the experimental determination of second rank orientational order parameters. , a linear dichroism experiment [29], but the treatment is similar for other techniques. Typically an experiment consists of performing measurements of anisotropy on a suitable tensor property. In the present example the absorption of light by a solute relative to a certain electronic transition is determined by the transition moment II [47].

In figure 3 we show the resulting curve for positive < P2 > as the full line. We see that for positive < P2 > the distribution is peaked at P= 0, so that the majority of molecules will be parallel to the director. This is normally the case when we dissolve an elongated molecule in a nematic. A simple analytic approximation for a2 in terms of < P2 > is obtained by expanding ~ in a power series in < P2 > [41] a2 = 5 < P2 > - (2517) < P2 ~ + (425/49) < P2 ;>l - (51875/3773) < P2 >4 + .... (51) The series is, of course, divergent at < P2 > = 1 but it can still be useful for order parameters realistically found in nematics.

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