Levitating Magnetic Nanowires in Twisted Liquid Crystals
C. Lapointe, A. Hultgren, D. M. Silevitch, E. J. Felton, D. H. Reich, and R. L. Leheny

Fluids composed of complex molecules can display a variety of surprising and unusual properties that are never seen in ordinary fluids like water. Liquid crystals are an important class of complex fluids that have wide-ranging applications such as in display technology as well as considerable scientific interest. In the so-called nematic phase of a liquid crystal composed of rod-like molecules, the long axes of the molecules prefer to orient parallel to one another, unlike an ordinary liquid, where the molecular orientation is completely random.

Interactions between the liquid crystal molecules and solid surfaces can be manipulated to control the molecular alignment, for example to orient all the liquid crystal molecules in a container in a particular direction. Conversely, if a small particle is suspended in a liquid crystal, these liquid-solid interactions can be exploited to manipulate the particle. In recent work, we have shown that it is possible to employ these effects to orient micrometer sized, needle-shaped metal particles in a liquid crystal and even to levitate them against the force of gravity.

Levitation of a nickel wire within a twisted nematic liquid crystal (LC). A: The LC orientation (green), twists uniformly as a function of height to match the directions of planar anchoring at the upper and lower surfaces. When a magnetic field aligns a nanowire parallel to LC at some height in the cell (e.g., at the center of the cell in the figure), the elastic energy becomes a function of the wire's height, leading to a levitating force on a wire resting on the bottom substrate. B: Measurements demonstrate the height of a wire initially resting at the bottom rises as a function of time in response to this force.

These effects arise because in our system the liquid crystal molecules prefer to lie at the particle surface parallel to the particles' long axis. Thus, the minimum energy configuration for these elongated particles occurs when the particles point parallel to the liquid crystal alignment direction. Rotating a particle away from this direction costs elastic energy as it produces a distortion in the orientation of the liquid crystal near the particle. As we have shown, using a magnetic nanowire forced by strong magnetic fields to point in various directions in a liquid crystal, the size of this energy cost can be understood through an elegant analogy with the basic laws of electrostatics. Further, when the field reorienting the particle is removed, a torque on the particle from the liquid crystal swings the particle back into alignment.

Levitation is accomplished by converting these torques into vertical motion. When an elongated magnetic particle sinks to the bottom of a vessel, it orients parallel to the liquid crystal direction dictated by interactions between the liquid crystal molecules and the bottom surface. When the particle is reoriented by a magnetic field, it lifts from the bottom to reduce the energy of the distortion in the liquid crystal imposed between it and the wall. Alternatively, if as shown in the figure, a macroscopic cork-screwing is imposed on the liquid crystal orientation by misaligning the upper and lower walls of the vessel, then the particle spontaneously rises to the height where the orientation picked out for it by the magnetic field matches that of the local liquid crystal alignment. This new technique has potential for assembling magnetic nanostructures.

PUBLICATIONS:

C. Lapointe, A. Hultgren, D. M. Silevitch, E. J. Felton, D. H. Reich, and R. L. Leheny, Elastic Torque and the Levitation of Metal Wires by a Nematic Liquid Crystal, Science 303, 652 (2004).