Michigan Engineering News

The image on the right has a dark background with a series of concentric circles traced out with 12 bright points. Some points have rings around them—again, circles traced with brighter points, presenting sort of a rosette design that is brightest in the center. The image on the left has a pale gray background with dark points tracing out the concentric circles and rosettes. It is much clearer and doesn't darken or brighten at the edges, as the information fed into the transform from the simulation was more complete than the information available from the microscope.

Nanoparticle quasicrystal constructed with DNA

The breakthrough opens the way for designing and building more complex structures.

Nanoengineers have created a quasicrystal—a scientifically intriguing and technologically promising material structure—from nanoparticles using DNA, the molecule that encodes life. 

The team, led by researchers at Northwestern University, the University of Michigan and the Center for Cooperative Research in Biomaterials in San Sebastian, Spain, reports the results in Nature Materials.

Unlike ordinary crystals, which are defined by a repeating structure, the patterns in quasicrystals don’t repeat. Quasicrystals built from atoms can have exceptional properties—for example, absorbing heat and light differently, exhibiting unusual electronic properties such as conducting electricity without resistance, or their surfaces are very hard or very slippery.

Engineers studying nanoscale assembly often view nanoparticles as a kind of ‘designer atom,’ which provides a new level of control over synthetic materials. One of the challenges is directing particles to assemble into desired structures with useful qualities, and in building this first DNA-assembled quasicrystal, the team entered a new frontier in nanomaterial design.

“The existence of quasicrystals has been a puzzle for decades, and their discovery appropriately was awarded with a Nobel Prize,” said Chad Mirkin, the George B. Rathmann Professor of Chemistry at Northwestern University and co-corresponding author of the study. “Although there are now several known examples, discovered in nature or through serendipitous routes, our research demystifies their formation and more importantly shows how we can harness the programmable nature of DNA to design and assemble quasicrystals deliberately.”

Somewhat squashed pentagonal bipyramids pack together on the left side of the image, fading into a ball-and-stick model of the connections between neighboring particles. The model sketches out triangles and rhombuses without a consistent pattern, as most balls have five or six connections
The simulation shows the decahedra packing together into a quasicrystalline structure on the left, with a diagram of the structure on the right. Credit: Glotzer group, University of Michigan.

Mirkin’s group is known for using DNA as a designer glue to engineer the formation of colloidal crystals made of nanoparticles, and the group of Luis Liz-Marzán, the Ikerbasque Professor at the Spanish Center for Cooperative Research in Biomaterials, could produce nanoparticles that might form quasicrystals under the right conditions. The team focused on bipyramidal shapes—basically two pyramids stuck together at their bases. Liz-Marzán’s group tried different numbers of sides as well as squashing and stretching the shapes. Then Wenjie Zhou and Haixin Lin, doctoral students in chemistry at Northwestern at the time of the work, used DNA strands encoded to recognize one another to program the particles to assemble into a quasicrystal.

Independently, the group of Sharon Glotzer, the Anthony C. Lembke Chair of Chemical Engineering at U-M, had been simulating bipyramids with different numbers of sides. Yein Lim and Sangmin Lee, doctoral students in chemical engineering at U-M, found that decahedra—10-sided pentagonal bipyramids—would form a quasicrystal under certain conditions, and with the right relative dimensions.

In 2009, Glotzer’s team had predicted the first layered nanoparticle quasicrystal, not from bipyramids but from tetrahedra—single pyramids with four triangular sides like a D4 die. Because five tetrahedra can nearly make a type of decahedron, she says that the decahedron was a savvy choice for making a quasicrystal.

“In our original quasicrystal simulation, the tetrahedra arranged into decahedra with very small gaps between the tetrahedra. Here, those gaps would be filled by DNA, so it made sense that decahedra might make quasicrystals, too,” said Glotzer, co-corresponding author of the study.

Through a combination of theory and experiment, the three research groups made the decahedron particles into a quasicrystal, which was confirmed by electron microscope imaging at Northwestern and X-ray scattering done at Argonne National Laboratory.

“Through the successful engineering of colloidal quasicrystals, we have achieved a significant milestone in the realm of nanoscience,” said Liz-Marzán, co-corresponding author of the study. “Our work not only sheds light on the design and creation of intricate nanoscale structures but also opens a world of possibilities for advanced materials and innovative nanotechnology applications.”

The structure resembles an array of rosettes in concentric circles, the 10-sided shapes creating a 12-fold symmetry in 2D layers that stack periodically. This stacked structure, also seen with quasicrystals made from tetrahedra, is called an axial quasicrystal. But unlike most axial quasicrystals, the tiling pattern of the new quasicrystal’s layers do not repeat identically from one layer to the next. Instead, a significant percentage of tiles are different, in a random way—and this small amount of disorder adds stability.

The image on the right has a dark background with a series of concentric circles traced out with 12 bright points. Some points have rings around them—again, circles traced with brighter points, presenting sort of a rosette design that is brightest in the center. The image on the left has a pale gray background with dark points tracing out the concentric circles and rosettes. It is much clearer and doesn't darken or brighten at the edges, as the information fed into the transform from the simulation was more complete than the information available from the microscope.
A mathematical tool called a fast Fourier transform maps the structure in a way that reveals the 12-fold symmetry of the quasicrystal. The fast Fourier transform of the electron microscope image of the quasicrystal is shown on the left, while the transform of the simulated crystal is shown on the right. Credit: Mirkin Research Group, Northwestern University, and Glotzer Group, University of Michigan.

The research is funded by the U.S. Air Force Office of Scientific Research, U.S. Department of Energy, Spanish Ministry of Science and Innovation, and the Maria de Maeztu Units of Excellence Program from the Spanish State Research Agency. The project also relied on resources at the Extreme Science and Engineering Discovery Environment, NUANCE at Northwestern University and computational resources at U-M.

Glotzer is also the John Werner Cahn Distinguished University Professor of Engineering and Stuart W. Churchill Collegiate Professor of Chemical Engineering.

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