Colloidal quasicrystals engineered with DNA
Source abstract
Abstract
In principle, designing and synthesizing almost any class of colloidal crystal is possible. Nonetheless, the deliberate and rational formation of colloidal quasicrystals has been difficult to achieve. Here we describe the assembly of colloidal quasicrystals by exploiting the geometry of nanoscale decahedra and the programmable bonding characteristics of DNA immobilized on their facets. This process is enthalpy-driven, works over a range of particle sizes and DNA lengths, and is made possible by the energetic preference of the system to maximize DNA duplex formation and favour facet alignment, generating local five- and six-coordinated motifs. This class of axial structures is defined by a square-triangle tiling with rhombus defects and successive on-average quasiperiodic layers exhibiting stacking disorder which provides the entropy necessary for thermodynamic stability. Taken together, these results establish an engineering milestone in the deliberate design of programmable matter.
Source: europepmc · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Gold and Silver Nanoparticles Synthesis and Applications · Quantum Dots Synthesis And Properties · Nanocluster Synthesis and Applications
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (42)
Show source-provided references
1. Mirkin, C. A., Letsinger, R. L., Mucic, R. C. & Storhoff, J. J. A DNA-based method for rationally assembling nanoparticles into macroscopic materials. Nature 382, 607–609 (1996).10.1038/382607a0 ↗
2. Jones, M. R., Seeman, N. C. & Mirkin, C. A. Programmable materials and the nature of the DNA bond. Science 347, 1260901 (2015).10.1126/science.1260901 ↗
3. Winfree, E., Liu, F., Wenzler, L. A. & Seeman, N. C. Design and self-assembly of two-dimensional DNA crystals. Nature 394, 539–544 (1998).10.1038/28998 ↗
4. Laramy, C. R., O’Brien, M. N. & Mirkin, C. A. Crystal engineering with DNA. Nat. Rev. Mater. 4, 201–224 (2019).10.1038/s41578-019-0087-2 ↗
5. Shechtman, D., Blech, I., Gratias, D. & Cahn, J. W. Metallic phase with long-range orientational order and no translational symmetry. Phys. Rev. Lett. 53, 1951 (1984).10.1103/PhysRevLett.53.1951 ↗
6. Glotzer, S. Quasicrystals: the thrill of the chase. Nature 565, 156–159 (2019).10.1038/d41586-019-00026-y ↗
7. Steinhardt, P. The Second Kind of Impossible: The Extraordinary Quest for a New Form of Matter (Simon & Schuster, 2019).
8. Wang, N., Chen, H. & Kuo, K. Two-dimensional quasicrystal with eightfold rotational symmetry. Phys. Rev. Lett. 59, 1010 (1987).10.1103/PhysRevLett.59.1010 ↗
9. Chen, H., Li, D. & Kuo, K. New type of two-dimensional quasicrystal with twelvefold rotational symmetry. Phys. Rev. Lett. 60, 1645 (1988).10.1103/PhysRevLett.60.1645 ↗
10. Li, X. & Kuo, K. Decagonal quasicrystals with different periodicities along the tenfold axis in rapidly solidified Al–Ni alloys. Philos. Mag. Lett. 58, 167–171 (1988).10.1080/09500838808214749 ↗
11. Talapin, D. V. et al. Quasicrystalline order in self-assembled binary nanoparticle superlattices. Nature 461, 964–967 (2009).10.1038/nature08439 ↗
12. Nagaoka, Y., Zhu, H., Eggert, D. & Chen, O. Single-component quasicrystalline nanocrystal superlattices through flexible polygon tiling rule. Science 362, 1396–1400 (2018).10.1126/science.aav0790 ↗
13. Haji-Akbari, A. et al. Disordered, quasicrystalline and crystalline phases of densely packed tetrahedra. Nature 462, 773–777 (2009).10.1038/nature08641 ↗
14. Haji-Akbari, A., Engel, M. & Glotzer, S. C. Degenerate quasicrystal of hard triangular bipyramids. Phys. Rev. Lett. 107, 215702 (2011).10.1103/PhysRevLett.107.215702 ↗
15. Je, K., Lee, S., Teich, E. G., Engel, M. & Glotzer, S. C. Entropic formation of a thermodynamically stable colloidal quasicrystal with negligible phason strain. Proc. Natl Acad. Sci. USA 118, e2011799118 (2021).10.1073/pnas.2011799118 ↗
16. Damasceno, P. F., Engel, M. & Glotzer, S. C. Predictive self-assembly of polyhedra into complex structures. Science 337, 453–457 (2012).10.1126/science.1220869 ↗
17. Cersonsky, R. K., van Anders, G., Dodd, P. M. & Glotzer, S. C. Relevance of packing to colloidal self-assembly. Proc. Natl Acad. Sci. USA 115, 1439–1444 (2018).10.1073/pnas.1720139115 ↗
18. Sánchez-Iglesias, A. et al. High-yield seeded growth of monodisperse pentatwinned gold nanoparticles through thermally induced seed twinning. J. Am. Chem. Soc. 139, 107–110 (2017).10.1021/jacs.6b12143 ↗
19. Auyeung, E. et al. DNA-mediated nanoparticle crystallization into Wulff polyhedra. Nature 505, 73–77 (2014).10.1038/nature12739 ↗
20. Auyeung, E., Macfarlane, R. J., Choi, C. H. J., Cutler, J. I. & Mirkin, C. A. Transitioning DNA‐engineered nanoparticle superlattices from solution to the solid state. Adv. Mater. 24, 5181–5186 (2012).10.1002/adma.201202069 ↗
21. Lin, H. et al. Clathrate colloidal crystals. Science 355, 931–935 (2017).10.1126/science.aal3919 ↗
22. Oxborrow, M. & Henley, C. L. Random square–triangle tilings: a model for twelvefold-symmetric quasicrystals. Phys. Rev. B 48, 6966 (1993).10.1103/PhysRevB.48.6966 ↗
23. Nugent, P. J. et al. Step-terrace morphology and reactivity to C60 of the five-fold icosahedral Ag–In–Yb quasicrystal. Philos. Mag. 91, 2862–2869 (2011).10.1080/14786435.2010.514870 ↗
24. Heilbronner, R. P. The autocorrelation function: an image processing tool for fabric analysis. Tectonophysics 212, 351–370 (1992).10.1016/0040-1951(92)90300-U ↗
25. Gähler, F. in Quasicrystalline Materials: Proceedings of the ILL/CODEST Workshop (eds Janot, C. & Dubois, J.) 272–284 (World Scientific, 1988).
26. Ishimasa, T., Nissen, H.-U. & Fukano, Y. New ordered state between crystalline and amorphous in Ni–Cr particles. Phys. Rev. Lett. 55, 511 (1985).10.1103/PhysRevLett.55.511 ↗
27. Ishimasa, T., Iwami, S., Sakaguchi, N., Oota, R. & Mihalkovič, M. Phason space analysis and structure modelling of 100 Å-scale dodecagonal quasicrystal in Mn-based alloy. Philos. Mag. 95, 3745–3767 (2015).10.1080/14786435.2015.1095365 ↗
28. Stampfli, P. A dodecagonal quasi-periodic lattice in 2 dimensions. Helv. Chim. Acta 59, 1260–1263 (1986).
29. Ritsch, S., Nissen, H.-U. & Beeli, C. Phason related stacking disorder in decagonal Al–Co–Ni. Phys. Rev. Lett. 76, 2507 (1996).10.1103/PhysRevLett.76.2507 ↗
30. Shin, M. & Strandburg, K. J. Random tiling approach to the structure of decagonal quasicrystals. J. Non Cryst. Solids 153, 253–257 (1993).10.1016/0022-3093(93)90352-X ↗
31. Jeong, H.-C. & Steinhardt, P. J. Finite-temperature elasticity phase transition in decagonal quasicrystals. Phys. Rev. B 48, 9394 (1993).10.1103/PhysRevB.48.9394 ↗
32. Edagawa, K., Suzuki, K. & Takeuchi, S. HRTEM observation of phason flips in Al–Cu–Co decagonal quasicrystal. J. Alloy. Compd. 342, 271–277 (2002).10.1016/S0925-8388(02)00191-3 ↗
33. Jones, M. R. et al. DNA–nanoparticle superlattices formed from anisotropic building blocks. Nat. Mater. 9, 913–917 (2010).10.1038/nmat2870 ↗
34. Anderson, J. A., Irrgang, M. E. & Glotzer, S. C. Scalable Metropolis Monte Carlo for simulation of hard shapes. Comput. Phys. Commun. 204, 21–30 (2016).10.1016/j.cpc.2016.02.024 ↗
35. Anderson, J. A., Glaser, J. & Glotzer, S. C. HOOMD-blue: a Python package for high-performance molecular dynamics and hard particle Monte Carlo simulations. Comput. Mater. Sci. 173, 109363 (2020).10.1016/j.commatsci.2019.109363 ↗
36. Glaser, J. et al. Strong scaling of general-purpose molecular dynamics simulations on GPUs. Comput. Phys. Commun. 192, 97–107 (2015).10.1016/j.cpc.2015.02.028 ↗
37. Towns, J. et al. XSEDE: accelerating scientific discovery. Comput. Sci. Eng. 16, 62–74 (2014).10.1109/MCSE.2014.80 ↗
38. Haji-Akbari, A., Engel, M. & Glotzer, S. C. Phase diagram of hard tetrahedra. J. Chem. Phy. 135, 194101 (2011).10.1063/1.3651370 ↗
39. Frenkel, D. & Ladd, A. J. New Monte Carlo method to compute the free energy of arbitrary solids. Application to the fcc and hcp phases of hard spheres. J. Chem. Phy. 81, 3188–3193 (1984).10.1063/1.448024 ↗
40. Chandler, D., Weeks, J. D. & Andersen, H. C. Van der Waals picture of liquids, solids, and phase transformations. Science 220, 787–794 (1983).10.1126/science.220.4599.787 ↗
41. Spellings, M., Marson, R. L., Anderson, J. A. & Glotzer, S. C. GPU accelerated discrete element method (DEM) molecular dynamics for conservative, faceted particle simulations. J. Comput. Phys. 334, 460–467 (2017).10.1016/j.jcp.2017.01.014 ↗
42. van Damme, R., Coli, G. M., van Roij, R. & Dijkstra, M. Classifying crystals of rounded tetrahedra and determining their order parameters using dimensionality reduction. ACS Nano 14, 15144–15153 (2020).10.1021/acsnano.0c05288 ↗