By showing that tiny particles injected into a liquid crystal medium adhere to existing mathematical theorems, physicists at the University of Colorado Boulder have opened the door for the creation of a host of new materials with properties that do not exist in nature.
The findings show that researchers can create a "recipe book" to build new materials of sorts using topology, a major mathematical field that describes the properties that do not change when an object is stretched, bent or otherwise 鈥渃ontinuously deformed.鈥� Published online Dec. 23 in the journal Nature, the study also is the first to experimentally show that some of the most important topological theorems hold up in the real material world, said 抖阴短视频-Boulder physics department Assistant Professor Ivan Smalyukh, a study senior author.
The research could lead to upgrades in liquid crystal displays, like those used in laptops and television screens, to allow them to interact with light in new and different ways. One possibility is to create liquid crystal displays that are even more energy efficient, Smalyukh said, extending the battery life for the devices they鈥檙e attached to. 听
The research was funded in part by Smalyukh鈥檚 Presidential Early Career Award for Scientists and Engineers, which he received from President Barack Obama in 2010. And the research supports the goals laid out by the White House鈥檚 Materials Genome Initiative, Smalyukh said, which seeks to deploy 鈥渘ew advanced materials at least twice as fast as possible today, at a fraction of the cost.鈥�
Smalyukh, postdoctoral researcher Bohdan Senyuk, and doctoral student Qingkun Liu set up the experiment by creating colloids 鈥� solutions in which tiny particles are dispersed, but not dissolved, throughout a host medium. Colloids are common in everyday life and include substances such as milk, jelly, paint, smoke, fog and shaving cream.
For this study, the physicists created a colloid by injecting tiny particles into a liquid crystal 鈥� a substance that behaves somewhat like a liquid and somewhat like a solid. The researchers injected differently shaped particles that represent fundamental building-block shapes in topology. That means each of the particles is distinct from the others and one cannot be turned into the other without听cutting or gluing. Objects that look differently can still be considered the same in topology if one can be turned into the other by stretching or bending 鈥� types of 鈥渃ontinuous deformations.鈥�
In the field of topology, for example, an object shaped like a donut and an object shaped like a coffee cup are treated the same. That鈥檚 because a donut shape can be 鈥渃ontinuously deformed鈥� into a coffee cup by indenting one side of the donut. But a donut-shaped object cannot be turned into a sphere or a cylinder because the hole in the donut would have to be eliminated by 鈥済luing鈥� the sides of the donut back together or by 鈥渃utting鈥� the side of the donut.
Once injected into a liquid crystal, the particles behaved as predicted by topology.听鈥淥ur study shows that interaction between particles and molecular alignment in liquid crystals follows the predictions of topological theorems, making it possible to use these theorems in designing new composite materials with unique properties that cannot be encountered in nature or synthesized by chemists,鈥� Smalyukh said. 鈥淭hese findings lay the groundwork for new applications in experimental studies of low-dimensional topology, with important potential ramifications for many branches of science and technology."
The study was co-authored by Sailing He of Zhejiang University in China; Randall Kamien and Tom Lubensky of the University of Pennsylvania, and Robert Kusner of the University of Massachusetts, Amherst.
Contact:
Ivan Smalyukh, 303-492-7277
Ivan.Smalyukh@colorado.edu
Laura Snider, 抖阴短视频 media relations, 303-735-0528
Laura.Snider@colorado.edu
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This image shows polarized light interacting with a particle injected into a liquid crystal medium. Photo by 抖阴短视频-Boulder scientists Bohdan Senyuk and Ivan Smalyukh.
