Energetic Properties of Liquid Crystals: Relation to the Order Parameters

2021 ◽  
pp. 23-40
Author(s):  
Luz J. Martínez-Miranda
Keyword(s):  
Liquid Crystals ◽  
Order Parameters ◽  
Energetic Properties

scholarly journals Order Parameters, Orientational Distribution Functions and Heliconical Tilt Angles of Oligomeric Liquid Crystals

2019 ◽  
Author(s):  
Richard Mandle ◽  
John W. Goodby
Keyword(s):  
Phase Transition ◽  
Liquid Crystals ◽  
Tilt Angle ◽  
Order Parameter ◽  
Nematic Phase ◽  
Liquid Crystalline ◽  
Thermal Evolution ◽  
Order Parameters ◽  
Distribution Functions ◽  
Orientational Distribution

We compare the order parameters, orientational distribution functions (ODF) and heliconical tilt angles of the TB phase exhibited by a liquid-crystalline dimer (CB7CB) to a tetramer (O47) and hexamer (O67) by SAXS/WAXS. Following the N-TB phase transition we find that all order parameters decrease, and while 〈P2 〉 remains positive 〈P4 〉 becomes negative. For all three materials the order parameter 〈P6 〉 is near zero in both phases. The ODF is sugarloaf-like in the nematic phase and volcano-like in the TB phase, allowing us to estimate the heliconical tilt angle of each material and its thermal evolution. The heliconical tilt angle appears to be largely independent of the material studied despite the differing number of mesogenic units.

Higher smectic-layer order parameters in liquid crystals determined by x-ray diffraction and the effect of antiferroelectricity

1995 ◽  
Vol 51 (1) ◽  
pp. 400-406 ◽  
Author(s):  
Yoichi Takanishi ◽  
Asako Ikeda ◽  
Hideo Takezoe ◽  
Atsuo Fukuda
Keyword(s):  
Liquid Crystals ◽  
Order Parameters ◽  
Smectic Layer ◽  
X Ray Diffraction ◽  
X Ray

Amphotropic Ionic Liquid Crystals with Low Order Parameters†

2004 ◽  
Vol 16 (11) ◽  
pp. 2101-2106 ◽  
Author(s):  
G. A. Nagana Gowda ◽  
Hui Chen ◽  
C. L. Khetrapal ◽  
Richard G. Weiss
Keyword(s):  
Ionic Liquid ◽  
Liquid Crystals ◽  
Order Parameters ◽  
Ionic Liquid Crystals ◽  
Low Order

scholarly journals Flexoelectric effect modelling

2008 ◽  
Vol 16 (4) ◽  
Author(s):  
A. Kapanowski
Keyword(s):  
Statistical Theory ◽  
Dipole Moment ◽  
Liquid Crystals ◽  
Temperature Dependence ◽  
Elastic Constants ◽  
Symmetry Axis ◽  
Order Parameters ◽  
Flexoelectric Effect ◽  
Calculate Temperature Dependence ◽  
Component Parallel

AbstractA statistical theory of dipole flexoelectric (FE) polarization in liquid crystals is used to calculate temperature dependence of order parameters, elastic constants and FE coefficients. Two systems with polar wedge-shaped and banana-shaped molecules are investigated. In both cases, the FE coefficients are proportional to the dipole moment component parallel to the molecule symmetry axis. It results from the symmetries of interactions and of the Mayer function. The origin of the FE effect and microscopic pictures of the distorted phases are discussed.

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