Separation of chiral particles in a rotating electric field

When a particle having a permanent dipole is placed in a rotating electric field in a fluid, it will migrate along the direction of the angular vector of the field. The average velocity of the particle is calculated based on a Brownian motion framework that accounts for the translation-rotation coup...

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Bibliographic Details
Published in:Physics of fluids (1994) 2016-09, Vol.28 (9)
Main Authors: Doi, M., Makino, M.
Format: Article
Language:English
Subjects:
Angular velocity
Brownian motion
Coupling (molecular)
Electric fields
Fluid dynamics
Mathematical analysis
Migration
Physics
Rotation
Separation
Tensors
Velocity
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Summary:When a particle having a permanent dipole is placed in a rotating electric field in a fluid, it will migrate along the direction of the angular vector of the field. The average velocity of the particle is calculated based on a Brownian motion framework that accounts for the translation-rotation coupling. An explicit expression is given for the average velocity of the particle as a function of the hydrodynamic mobility tensors and the frequency of the field. The expression indicates that the chiral particle and its mirror-image particle move in opposite direction (which accounts for the right/left molecular separation in racemic solutions), and that the migration velocity has a peak at a certain frequency determined by the geometry of the particle. Calculations are made for a twisted ribbon particle and the relation between the migration velocity and the structure of the twisted ribbon particle is discussed.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.4962411