1978
DOI: 10.1002/bbpc.19780821206
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Temperature Dependence of the Intrinsic Pitch in Induced Cholesteric Systems

Abstract: Based on the molecular‐statistical theory of Goossens a model has been developed to explain the temperature dependence of the intrinsic pitch in cholesteric systems induced in nematic host phases by chiral guest molecules. In the case of a rotational symmetric distribution function around the long axis of the chiral molecule the helix inducing dipole‐quadrupole interaction forces level out. Consequently, only a hindered long‐axis rotation causes the helical structure whose pitch increases with increasing tempe… Show more

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Cited by 68 publications
(23 citation statements)
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“…4) as experimentally observed for many dilute solutions of chiral dopants in nematic phases, see e.g. [5]. No significant system size effects appear, which rather could be assigned to the usual findings of higher order parameters in simulations of smaller systems than to effects of the applied boundary conditions which in fact allow the determination of the equilibrium properties of systems with periodic superstructures incommensurable to the comparably small system sizes studied.…”
Section: Binary Systems Of Achiral and Chiral Moleculesmentioning
confidence: 81%
See 1 more Smart Citation
“…4) as experimentally observed for many dilute solutions of chiral dopants in nematic phases, see e.g. [5]. No significant system size effects appear, which rather could be assigned to the usual findings of higher order parameters in simulations of smaller systems than to effects of the applied boundary conditions which in fact allow the determination of the equilibrium properties of systems with periodic superstructures incommensurable to the comparably small system sizes studied.…”
Section: Binary Systems Of Achiral and Chiral Moleculesmentioning
confidence: 81%
“…For instance, dissolving a chiral compound in a nematic phase induces a cholesteric phase, which is characterised by its pitch and handedness. Here, the derivative of the inverse pitch with respect to the mole fraction of the chiral dopant is a suitable pseudoscalar quantity for the tendency of the chiral guest molecule to twist the nematic phase [5]. In order to obtain also symmetry adapted quantitative measures for the chiral induction considering the change of the suprastructural chirality dissolving chiral dopants in a chiral phase, a generalised definition has been introduced [6]: The pseudoscalar helical twisting power (HTP) e = ^-dp -l dx e xe =0 3 V / «., =o and the scalar achiral helical twisting power (AHTP) e = A dp -l A dx P jc" =0 dp -i A dx *"t =0…”
Section: Introductionmentioning
confidence: 99%
“…While this is easily explained for mixtures of different components through a different temperature dependence of the pitch [37,38], it is much more surprising in a single component system. The helical superstructure changes its handedness simply by temperature variation, going through a nematic director configuration.…”
Section: Propertiesmentioning
confidence: 99%
“…[13±21] The main principal underlying the photoinduced control of the optical properties of such materials is provided by the photoisomerization of chiral photochromic fragments, which is accompanied by changes in their anisometry and helix twisting power b. As is well known, [22] b is directly related to the concentration of chiral component x and helix pitch P in the helical supramolecular structure, which is responsible for the selective light-reflection maximum k max :…”
Section: Introductionmentioning
confidence: 99%