Orientational order in high density dipolar hard sphere fluids

Taking advantage of recent estimates, by one of us, of the critical temperature of the isotropic-ferroelectric transition of high density dipolar hard spheres, we performed new Monte Carlo simulations in the close vicinity of these estimates and applied histogram reweighting methods to obtain refined values of the critical temperatures from the crossing of the fourth-order cumulant for different system sizes. The ferroelectric line is determined in the density range rho*=0.80-0.95, and the onset of columnar ordering is located.     

The ferroelectric transition of dipolar hard spheres

We investigate by Monte Carlo simulation the size dependence of the variation of the polarization and the dielectric constant with temperature for dipolar hard spheres at the two densities rho sigma3=0.80 and 0.88. From the crossing of the fourth-order cumulant for different system sizes first more precise estimates of the ferroelectric transition temperatures are obtained. Theoretical approaches, when predicting an ordering transition, are shown to generally overestimate the critical temperature.     

Significant substitution effects in dipolar and non-dipolar supercritical fluids

Vibrational Raman spectra of C=C stretching modes of ethylene derivates (cis-C(2)H(2)Cl(2), cis-stilbene, and trans-stilbene) were measured in supercritical fluids along an isotherm as functions of their densities. The substitution effect of the Raman shift is so significant that a difference among three solutes can be 20 times and is observed similarly in dipolar (CHF(3)) and non-dipolar (CO(2)) fluids. In particular, the shifts of trans-stilbene were enormously large among all systems for studies of vibrational spectroscopies of supercritical fluids and were equivalent to those of typical hydrogen-bonded fluids. Such large shifts arising from the significant attractive energy between solute and solvent molecules were attributed to a site-selective solvation around a phenyl group, which was driven by a dispersion force in the absence of steric hindrance. We found that the absence of steric hindrance causes the significant local density augmentation. To the best of our knowledge, Raman experiments and their theoretical analysis are the first ones quantifying how the difference of steric hindrance produces solvation structures in solution as well as supercritical solutions.     

Determination of long range dipolar couplings in ferroelectric liquid crystals

Long range dipolar coupling constants have been determined in three ferroelectric liquid crystals in their racemic forms using ¹³C NMR. Two of these liquid crystals are esters of α-chloroacids and 4-octyloxy-4'-hydroxybiphenyl, and have a very large spontaneous polarization in the smectic C* phase. The strategy used in the present study is the observation and measurement of ²H-¹³C splittings in the ¹³C spectra of monodeuterated compounds. The order parameters were calculated from the 1D spectra, and some of the coupling constants are compared with the ¹H-¹³C coupling constants previously obtained from 2D experiments. In addition, the deuterium quadrupole splitting of these compounds was determined from their ²H NMR spectra. The experiments were carried out over the whole mesomorphic ranges of the liquid crystals, covering the smectic A and smectic C phases.     

Phase transitions of two-dimensional dipolar fluids in external fields

In this work, we study condensation phase transitions of two-dimensional Stockmayer fluids under additional external fields using Monte-Carlo (MC) simulations in the grand-canonical ensemble. We employ two recently developed methods to determine phase transitions in fluids, namely Wang-Landau (WL) MC simulations and successive-umbrella (SU) sampling. Considering first systems in zero field (and dipolar coupling strengths μ(2)∕εσ(3) ≤ 6), we demonstrate that the two techniques yield essentially consistent results but display pronounced differences in terms of efficiency. Indeed, comparing the computation times for these systems on a qualitative level, the SU sampling turns out to be significantly faster. In the presence of homogeneous external fields, however, the SU method becomes plagued by pronounced sampling difficulties, yielding the calculation of coexistence lines essentially impossible. Employing the WL scheme, on the other hand, we find phase coexistence even for strongly field-aligned systems. The corresponding critical temperatures are significantly shifted relative to the zero-field case.     

Formation of ferroelectric domains observed in simulation of droplets of dipolar particles

In this work it is shown that domains of ordered dipoles are formed in large droplets made from dipolar particles provided that the dipole-dipole interaction between nearest neighbors is larger than the thermal energy. The size of the domains grows almost linearly with the size of the droplets for droplets containing 1000-30 000 particles. The largest domains occupy around 25-35% of the droplet volume. The total dipole moment of a domain is of the order of 3-10% of the maximum dipole moment possible if all dipoles in the domain were parallel. The finding offers an explanation to the observation that different boundary conditions yield different long-range order for dipolar liquids and challenges the present view of a short-range dipolar order in polar solvents.     

Determination of order parameters from carbon-fluorine dipolar coupling

A convenient NMR method for the determination of the order parameters for liquid crystals containing a fluorinated phenyl ring is described. The technique consists of measuring the carbon-fluorine dipolar coupling constants in the one-dimensional C-13 spectrum of the molecule. The order parameters may then be calculated for the fluorine-containing ring with a high degree of precision because of the excellent resolution afforded by the 1-D C-13 spectra. The method is used to determine the core order parameters for 4-n-hexyloxybenzilidene-4'-fluoroaniline (FAB-OC6). The results of the carbon-fluorine dipolar coupling method are compared with two established methods for determining the core order parameters of phenyl rings, namely deuterium NMR spectroscopy and SLF/VAS, a two-dimensional C-13 NMR spectroscopy. Some comments about the orientational properties of the fluorinated liquid crystal FAB-OC6 are made.     

Macroscopic order and electro-optic response of dipolar chromophore-polymer materials.

This Minireview considers the key factors that govern the organization of macroscopic polarization in nonlinear optical systems obtained by electric poling of organic dipolar chromophores dissolved in polymer matrices. The macroscopic electric polarization depends on the thermodynamic state of the dipole system. The dependence of the paraelectric and antiferroelectric states of dipolar chromophores on the chromophore concentration and the strength of the poling field is discussed. Phase transitions between the para- and antiferroelectric states are investigated within the limits of the Ising and isotropic models for the chromophore dipoles and are considered for varying chromophore concentration, poling field strength, and macroscopic shape of the sample used for poling. The macroscopic polarization and electro-optic coefficient of the material change drastically upon phase transition. The theories are compared with the experimental data on the electro-optic coefficient dependence on the chromophore concentration. The isotropic dipole model shows excellent agreement with experiment for the chromophore systems most commonly used in nonlinear optics.     

Perturbed chain-statistical associating fluid theory extended to dipolar and quadrupolar molecular fluids

The perturbed chain statistical associating fluid theory (PC-SAFT) is extended to polar molecular fluids, namely dipolar and quadrupolar fluids. The extension is based on the perturbation theory for polar fluids by Stell and co-workers. Appropriate expressions are proposed for dipole-dipole, quadrupole-quadrupole, and dipole-quadrupole interactions. Furthermore, induced dipole interactions are calculated explicitly in the model. The new polar PC-SAFT model is relatively complex; for this purpose, a truncated polar PC-SAFT model is proposed using only the leading term in the polynomial expansion for polar interactions. The new model is used for the calculation of thermodynamic properties of various quadrupolar pure fluids. In all cases, the agreement between experimental data and model predictions is very good.     

Kirkwood factor for dipolar hard sphere fluids. hindered rotation model

Possibilities of using various physicochemical models of polar liquids for describing the dielectric properties of model systems (one-, two-, or threedimensional dipolar hard spheres) are analyzed. Simple analytical formulas for the Kirkwood factor of the model systems are derived using the generalized hindered rotation model in a nearest neighbor interaction approximation. In the onedimensional case, an exact formula is obtained. For two- and three-dimensional spheres, the formulas adequately reproduce the available data of computer simulations over a wide range of thermodynamic parameters. In the lowtemperature limit (highly polar fluid), the expressions for the Kirkwood factor coincide with those in Pople’s bent hydrogen bond model. The associated equilibrium model also adequately describes the available experimental data in this limit, but leads to nonphysical results at high temperatures. The worst results are obtained in Wertheim’s mediumsphere approximation. Translated fromZhumal Struktumoi Khimii, Vol. 39, No. 5, pp. 843–850, September–October, 1998.     

Liquid crystalline order in fluids with hydrogen bonds

A mean-field theory of liquid crystalline ordering in hydrogen bonded liquids is proposed. It is shown that hydrogen bonds may cause liquid crystalline ordering. For a simple example of spherical molecules containing hydrogen bonding functional groups the existence of a nematic phase is predicted and the thermodynamics of the phase transition is discussed.     

Determination of order parameters from carbon–fluorine dipolar coupling

Abstract

A convenient NMR method for the determination of the order parameters for liquid crystals containing a fluorinated phenyl ring is described. The technique consists of measuring the carbon-fluorine dipolar coupling constants in the one-dimensional C-13 spectrum of the molecule. The order parameters may then be calculated for the fluorine-containing ring with a high degree of precision because of the excellent resolution afforded by the 1-D C-13 spectra. The method is used to determine the core order parameters for 4-n-hexyloxybenzilidene-4′-fluoroaniline (FAB-OC6). The results of the carbon-fluorine dipolar coupling method are compared with two established methods for determining the core order parameters of phenyl rings, namely deuterium NMR spectroscopy and SLF/VAS, a two-dimensional C-13 NMR spectroscopy. Some comments about the orientational properties of the fluorinated liquid crystal FAB-OC6 are made.     

Resonant transfer of the nuclear spin dipolar order in the rotating frame

A method for transferring the nuclear spin dipolar energy in a solid lattice is presented. It is shown that order may be transferred between the Zeeman and nuclear spin dipolar systems in either direction by rf pulses of suitable amplitude. This method may also be used to measure the dipolar relaxation time. Experimental data on ammonium chloride are shown to be in close agreement with the theory.     

Polarization and orientational order in polymer ferroelectric films based on vinylidene fluoride

Phase transitions and the development of orientational order are studied for three-dimensional polymer systems with the anisotropy of local intra- and interchain orientational-deformation interactions of chains with the dipole-type potential. In the proposed model of chains composed of elastically deformed segments with a fixed mean-square length (in the modified model of Gaussian subchains), there is a certain critical temperature at which the second-order phase transition from the isotropic state to the orientationally ordered state occurs. The temperature dependences of the parameter of the dipole order for thick films are calculated, and these dependences are compared with the corresponding dependences within the mean-field approximation according to the Ising model for ferromagnetics and within the Langevin continuum model for ferroelectric materials as well as with the experimental data on the thermal depolarization in the films based on the vinylidene fluoride-trifluoroethylene copolymer. The order parameter is calculated as a function of the film thickness (the length of chains) under certain boundary conditions imposed on film ends, and the calculated values are compared with the values predicted by the phenomenological theory and with the experimental data on the polarization distribution in the ferroelectric films based on vinylidene fluoride.     

Vapor-liquid transitions of dipolar fluids in disordered porous media: performance of angle-averaged potentials

Using replica integral equations in the reference hypernetted-chain (RHNC) approximation we calculate vapor-liquid spinodals, chemical potentials, and compressibilities of fluids with angle-averaged dipolar interactions adsorbed to various disordered porous media. Comparison with previous RHNC results for systems with true angle-dependent Stockmayer (dipolar plus Lennard-Jones) interactions indicate that, for a dilute hard sphere matrix, the angle-averaged fluid-fluid (ff) potential is a reasonable alternative for reduced fluid dipole moments m( *2)=mu(2)/(epsilon(0)sigma(3))< or =2.0. This range is comparable to that estimated in bulk fluids, for which RHNC results are presented as well. Finally, results for weakly polar matrices suggest that angle-averaged fluid-matrix (fm) interactions can reproduce main features observed for true dipolar (fm) interactions such as the shift of the vapor-liquid spinodals towards lower temperatures and higher densities. However, the effective attraction induced by dipolar (fm) interaction is underestimated rather than overestimated as in the case of angle-averaged ff interactions.     

Conformational constraint in ferroelectric liquid crystals incorporating a pyrrolidine-type ring: FLC materials comprising parallel dipolar moments

Ferroelectric liquid crystals bearing a chiral pyrrolidine-type ring were prepared using (-)-(S)-malic acid as a building block. The compounds were characterized using the thermal analysis techniques of DSC and POM, electrical measurements and temperature-dependent XRD. Samples showed moderate spontaneous polarization values (P _S) with helical pitches of about 2.997 µm and an average tilt angle of 16.2° for the SmC* planes. Conformational analysis of the chiral pyrrolidinol subunit and of all of the mesogenic targets was performed using several quantum methods including large basis sets and different treatments of electron correlation in order to correlate experimental results and theoretical predictions. For the most stable conformations, a very small dipole moment component perpendicular to the tilt plane was found which, according to the Boulder model, may be responsible for the moderate P_S values obtained.