Rotational diffusion of biaxial probes in biaxial liquid crystal phases

Berggren, Elisabet; Zannoni, Claudio

doi:10.1080/00268979500101121

Cited by 29 publications

(11 citation statements)

References 56 publications

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“…Equation (45) is formally equivalent to that of [9,13,21,50]. Following to the conventional notations, [36,37] our non-vanishing four order parameters are related to…”

Section: Resultsmentioning

confidence: 98%

Generalised descriptions on orientational order parameters and mean field theory for uniaxial and biaxial nematic liquid crystals

Kwak

Kim

2015

Liquid Crystals

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We present a complete set of the orientational and pseudo-vector (or polar) order parameters and a general potential of mean torque responsible for the formation of a lowest symmetry of triclinic biaxial nematic phases. By adopting the irreducible spherical tensor formalism, twenty-five orientational and nine pseudo-vector (or polar) order parameters are explicitly expressed in terms of both the Saupe ordering supermatrix and the Wigner rotation matrices. For various biaxial nematic phases and molecules, the corresponding independent order parameters are uniquely classified, including the orthorhombic D 2h ð Þ; monoclinic C 2h ð Þ, and triclinic C i ð Þ symmetries as well as the uniaxial nematic phase. These works could also describe the order parameters for the smectic C phases and the polar biaxial phases composed of C 1 symmetry.

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“…Equation (45) is formally equivalent to that of [9,13,21,50]. Following to the conventional notations, [36,37] our non-vanishing four order parameters are related to…”

Section: Resultsmentioning

confidence: 98%

Generalised descriptions on orientational order parameters and mean field theory for uniaxial and biaxial nematic liquid crystals

Kwak

Kim

2015

Liquid Crystals

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“…23 The roto-translational diffusion operator can be symmetrized with a similarity transformation constructed from the equilibrium distribution 5,6,31,32 P ͑ ,z,t͉ 0 ,z 0 ͒ϭ P Ϫ 1/2 ͑ ,z ͒P͑ ,z,t͉ 0 ,z 0 ͒P 1/2 ͑ 0 ,z 0 ͒, ͑9͒…”

Section: B Roto-translational Diffusion Equationmentioning

confidence: 99%

“…The treatment has been pioneered by Nordio et al 4 who dealt with uniaxial molecules reorienting in a uniaxial solvent but more recently a generalization to molecules of arbitrary symmetry reorienting in a uniaxial 5 or biaxial phase has been put forward. 6 A variety of experimental observables for biaxial molecules dissolved in liquid crystals, ranging from nuclear magnetic resonance spectral densities [7][8][9] to fluorescence polarized intensities, 10 have been interpreted using this approach, allowing the determination of the molecular rotational diffusion tensor components.…”

Section: Introductionmentioning

confidence: 99%

Roto-translational diffusion of biaxial probes in uniaxial liquid crystal phases

Brognara

Pasini

Zannoni

2000

The Journal of Chemical Physics

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Diffusion and viscosity of a calamitic liquid crystal model studied by computer simulationWe discuss the problem of roto-translational diffusion of a rigid biaxial molecule dissolved in a uniaxial smectic liquid crystal phase. We examine distorted rod and disklike molecules and show how biaxiality and roto-translational coupling can produce significant effects on some of the correlation functions and spectral densities most useful in analyzing experimental observables.

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“…This issue has been discussed in a series of papers by Zannoni and co-workers. [28][29][30] The phase symmetry enters through the indices m and mЈ, whereas n and nЈ are related to the symmetry of the molecule. The simplest possible situation in an ordered system occurs when both molecule and mesophase possess axial symmetry, leading to the following selection rule 31…”

Section: A Basic Definitions and Limiting Valuesmentioning

confidence: 99%

Molecular dynamics simulation of a liquid crystalline mixture

Sandström

Komolkin

Maliniak

1997

The Journal of Chemical Physics

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We present results from a molecular dynamics simulation of benzene dissolved in the mesogen 4n-pentyl-4Ј-cyanobiphenyl ͑5CB͒. The computer simulation is based on a realistic atom-atom potential and is performed in the nematic phase. Singlet orientational distribution functions are reconstructed from order parameters employing several methods, and the estimated distributions are compared with those obtained directly from the trajectory. Transport properties have been studied by calculating translational diffusion coefficients in directions both parallel and perpendicular to the liquid crystalline director. The simulated diffusion coefficients were found to be of the same order of magnitude as those measured in experiments. Second rank orientational time correlation functions are used to investigate molecular reorientations and significant deviations from the small step rotational diffusion model are established. Molecular structure and internal dynamics of 5CB have been examined by correlating the time dependence of dihedral angles with effective torsional potentials.

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Rotational diffusion of biaxial probes in biaxial liquid crystal phases

Cited by 29 publications

References 56 publications

Generalised descriptions on orientational order parameters and mean field theory for uniaxial and biaxial nematic liquid crystals

Generalised descriptions on orientational order parameters and mean field theory for uniaxial and biaxial nematic liquid crystals

Roto-translational diffusion of biaxial probes in uniaxial liquid crystal phases

Molecular dynamics simulation of a liquid crystalline mixture

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