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Molecular diffusion in liquid crystals and chiral discrimination. I. Theory.
- Source :
- Journal of Chemical Physics; 4/22/2005, Vol. 122 Issue 16, p164904, 10p, 1 Diagram
- Publication Year :
- 2005
-
Abstract
- The possibility of using cholesteric phases for discriminating enantiomers of a chiral solute on the basis of their different transport properties, motivates the investigation of the translational diffusion by taking fully into account the roto-translational coupling. In this article a detailed theoretical analysis is presented for the transport properties evaluated according to the asymptotic limit of the mean-squared displacement. A general relation is derived for the transport coefficients, having as main ingredients the mean-field potential due to the mesophase, and the diffusion tensor with its purely translational and rotational components, and with the blocks describing the roto-translational coupling. The application of the theory to nematic phases shows that the roto-translational coupling generates a dynamical contribution reducing the transport coefficients evaluated by taking into account only the translational diffusion components in the center of diffusion. The theory is also specialized to a cholesteric phase with a given helical pitch for the director arrangement, in a form which is suitable for calculations of model systems of chiral solutes to be presented in a forthcoming paper. [ABSTRACT FROM AUTHOR]
- Subjects :
- LIQUID crystals
ENANTIOMERS
DIFFUSION
LIGHT sources
CHIRALITY
INVESTIGATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 00219606
- Volume :
- 122
- Issue :
- 16
- Database :
- Complementary Index
- Journal :
- Journal of Chemical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 17227091
- Full Text :
- https://doi.org/10.1063/1.1884110