Theory of the intermediate tilted smectic phases and their helical rotation
Citation:
A. V. Emelyanenko, A. Fukuda, and J. K. Vij, Theory of the intermediate tilted smectic phases and their helical rotation, Physical Review E, 74, 1, 2006, 100705-1 - 100705-17Download Item:
Abstract:
A molecular-statistical theory for the entire sequence of the chiral tilted smectic phases is derived. Uniaxial
and biaxial subphases were found to be stable in different temperature ranges depending on the molecular
parameters. The model of a chiral molecule possessing a strong transverse terminal dipole moment and a
quadrupole moment located in the molecular core was used. Direct dispersion and electrostatic interactions
modulated by shape between molecules located in the same or in the neighboring smectic layers are taken
into account. An effective long-range interaction arises after the minimization of the free energy with respect
to polarization vectors. If the molecular quadrupole moment is small, only uniaxial phases with different
periodicities arise. Their periodicity may be tens and hundreds of layers Sm-C* , or approximately two layers
Sm-CA * , or several layers Sm-C
* . In the presence of the nonpolar biaxial ordering in addition to polarization
there is a cap-shaped border in the phase diagram that separates Sm-CA * , Sm-C*, and Sm-C
*. If the
molecules are nonchiral, Sm-CA, Sm-C, and the de Vries?s phases arise instead of the three phases mentioned
above. If the molecular quadrupole moment is large, the left ?arm? of the border breaks into two lines, and a
sequence of biaxial subphases arises in the area between these two lines. Among these biaxial subphases, the
one with periodicity of three smectic layers appears to be the broadest in the temperature range. In addition, the
subphases with different periodicities were found to be stable in narrow temperature ranges. The long helical
rotation in every biaxial subphase is calculated. It is found to change sign between the three-layer subphase and
Sm-C*, and may diverge in the four-layer subphase if it arises. All calculations are done with help of A FLC
Phase Diagram Plotter software developed by the first author and available at his web-page.
Sponsor
Grant Number
Science Foundation Ireland (SFI)
Author's Homepage:
http://people.tcd.ie/jvijhttp://people.tcd.ie/atsuof
Description:
PUBLISHED
Author: VIJ, JAGDISH; FUKUDA, ATSUO
Sponsor:
Science Foundation Ireland (SFI)Type of material:
Journal ArticleSeries/Report no:
Physical Review E74
1
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Full text availableKeywords:
Electronic & Electrical EngineeringDOI:
http://dx.doi.org/10.1103/PhysRevE.74.011705Metadata
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