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.
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22 April 2005
Research Article|
April 27 2005
Molecular diffusion in liquid crystals and chiral discrimination. I. Theory
Diego Frezzato;
Diego Frezzato
Dipartimento di Scienze Chimiche and Consorzio Interuniversitario Nazionale per la Scienza e Tecnologia dei Materiali (INSTM),
Università di Padova
, via Marzolo 1, I-35131 Padova, Italy
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Giorgio J. Moro;
Giorgio J. Moro
a)
Dipartimento di Scienze Chimiche and Consorzio Interuniversitario Nazionale per la Scienza e Tecnologia dei Materiali (INSTM),
Università di Padova
, via Marzolo 1, I-35131 Padova, Italy
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Claudio Zannoni
Claudio Zannoni
Dipartimento di Chimica Fisica ed Inorganica and
Consorzio Interuniversitario Nazionale per la Scienza e Tecnologia dei Materiali (INSTM)
, Viale Risorgimento 4, I-40136, Bologna, Italy
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Diego Frezzato
Giorgio J. Moro
a)
Claudio Zannoni
Dipartimento di Scienze Chimiche and Consorzio Interuniversitario Nazionale per la Scienza e Tecnologia dei Materiali (INSTM),
Università di Padova
, via Marzolo 1, I-35131 Padova, Italya)
Electronic mail: [email protected]
J. Chem. Phys. 122, 164904 (2005)
Article history
Received:
November 24 2004
Accepted:
February 08 2005
Citation
Diego Frezzato, Giorgio J. Moro, Claudio Zannoni; Molecular diffusion in liquid crystals and chiral discrimination. I. Theory. J. Chem. Phys. 22 April 2005; 122 (16): 164904. https://doi.org/10.1063/1.1884110
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