Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Article
  • Published:

Chiral assemblies of pinwheel superlattices on substrates

Abstract

The unique topology and physics of chiral superlattices make their self-assembly from nanoparticles highly sought after yet challenging in regard to (meta)materials1,2,3. Here we show that tetrahedral gold nanoparticles can transform from a perovskite-like, low-density phase with corner-to-corner connections into pinwheel assemblies with corner-to-edge connections and denser packing. Whereas corner-sharing assemblies are achiral, pinwheel superlattices become strongly mirror asymmetric on solid substrates as demonstrated by chirality measures. Liquid-phase transmission electron microscopy and computational models show that van der Waals and electrostatic interactions between nanoparticles control thermodynamic equilibrium. Variable corner-to-edge connections among tetrahedra enable fine-tuning of chirality. The domains of the bilayer superlattices show strong chiroptical activity as identified by photon-induced near-field electron microscopy and finite-difference time-domain simulations. The simplicity and versatility of substrate-supported chiral superlattices facilitate the manufacture of metastructured coatings with unusual optical, mechanical and electronic characteristics.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Fig. 1: Chiral symmetry breaking in superlattices from tetrahedra undergoing phase transition from low- to high-packing fraction states.
Fig. 2: Corner-sharing and pinwheel bilayer superlattices with corner-to-edge connections from gold tetrahedral NPs.
Fig. 3: Chirality of pinwheel bilayer lattices deposited on solid substrates.
Fig. 4: Formation mechanism and controllability of self-assembled chiral superlattices from tetrahedral NPs.

Similar content being viewed by others

Data availability

The datasets generated during and/or analysed during the current study are available in the Illinois Data Bank (https://doi.org/10.13012/B2IDB-0873473_V1).

Code availability

The codes used for data analysis during the current study are available from GitHub (https://github.com/chenlabUIUC/TetrahedraProject_2022).

References

  1. Singh, G. et al. Self-assembly of magnetite nanocubes into helical superstructures. Science 345, 1149–1153 (2014).

    Article  ADS  CAS  Google Scholar 

  2. Lu, J. et al. Enhanced optical asymmetry in supramolecular chiroplasmonic assemblies with long-range order. Science 371, 1368–1374 (2021).

    Article  ADS  CAS  Google Scholar 

  3. Li, S. et al. Single- and multi-component chiral supraparticles as modular enantioselective catalysts. Nat. Commun. 10, 4826 (2019).

    Article  ADS  Google Scholar 

  4. Kotov, N. A., Meldrum, F. C., Wu, C. & Fendler, J. H. Monoparticulate layer and Langmuir–Blodgett-type multiparticulate layers of size-quantized cadmium sulfide clusters: a colloid-chemical approach to superlattice construction. J. Phys. Chem. 98, 2735–2738 (1994).

    Article  CAS  Google Scholar 

  5. Jeong, U., Teng, X., Wang, Y., Yang, H. & Xia, Y. Superparamagnetic colloids: controlled synthesis and niche applications. Adv. Mater. 19, 33–60 (2007).

    Article  CAS  Google Scholar 

  6. Xia, Y. et al. One‐dimensional nanostructures: synthesis, characterization, and applications. Adv. Mater. 15, 353–389 (2003).

    Article  CAS  Google Scholar 

  7. Nagaoka, Y., Zhu, H., Eggert, D. & Chen, O. Single-component quasicrystalline nanocrystal superlattices through flexible polygon tiling rule. Science 362, 1396–1400 (2018).

    Article  ADS  MathSciNet  CAS  MATH  Google Scholar 

  8. Nagaoka, Y. et al. Superstructures generated from truncated tetrahedral quantum dots. Nature 561, 378–382 (2018).

  9. Jiang, W. et al. Emergence of complexity in hierarchically organized chiral particles. Science 368, 642–648 (2020).

  10. Jenett, B. et al. Discretely assembled mechanical metamaterials. Sci. Adv. 6, eabc9943 (2020).

    Article  ADS  Google Scholar 

  11. Frenzel, T., Kadic, M. & Wegener, M. Three-dimensional mechanical metamaterials with a twist. Science 358, 1072–1074 (2017).

    Article  ADS  CAS  Google Scholar 

  12. Feringa, B. L. & Van Delden, R. A. Absolute asymmetric synthesis: the origin, control, and amplification of chirality. Angew. Chem. Int. Ed. Engl. 38, 3418–3438 (1999).

    Article  CAS  Google Scholar 

  13. Lelais, G. & MacMillan, D. W. Modern strategies in organic catalysis: the advent and development of iminium activation. Aldrichimica Acta 39, 79–87 (2006).

    CAS  Google Scholar 

  14. Henzie, J., Grünwald, M., Widmer-Cooper, A., Geissler, P. L. & Yang, P. Self-assembly of uniform polyhedral silver nanocrystals into densest packings and exotic superlattices. Nat. Mater. 11, 131–137 (2012).

    Article  ADS  CAS  Google Scholar 

  15. Zhou, Y. et al. Biomimetic hierarchical assembly of helical supraparticles from chiral nanoparticles. ACS Nano 10, 3248–3256 (2016).

    Article  CAS  Google Scholar 

  16. Kuzyk, A. et al. DNA-based self-assembly of chiral plasmonic nanostructures with tailored optical response. Nature 483, 311–314 (2012).

    Article  ADS  CAS  Google Scholar 

  17. Samanta, D., Zhou, W., Ebrahimi, S. B., Petrosko, S. H. & Mirkin, C. A. Programmable matter: the nanoparticle atom and DNA bond. Adv. Mater. 34, e2107875 (2022).

  18. Nykypanchuk, D., Maye, M. M., Van Der Lelie, D. & Gang, O. DNA-guided crystallization of colloidal nanoparticles. Nature 451, 549–552 (2008).

    Article  ADS  CAS  Google Scholar 

  19. Fazileh, F., Chen, X., Gooding, R. J. & Tabunshchyk, K. Electronic properties of disordered corner-sharing tetrahedral lattices. Phys. Rev. B 73, 035124 (2006).

    Article  ADS  Google Scholar 

  20. Xu, X. & Wang, X. Perovskite nano‐heterojunctions: synthesis, structures, properties, challenges, and prospects. Small Struct. 1, 2000009 (2020).

    Article  Google Scholar 

  21. Ye, H.-Y. et al. Metal-free three-dimensional perovskite ferroelectrics. Science 361, 151–155 (2018).

    Article  ADS  CAS  Google Scholar 

  22. He, J., Borisevich, A., Kalinin, S. V., Pennycook, S. J. & Pantelides, S. T. Control of octahedral tilts and magnetic properties of perovskite oxide heterostructures by substrate symmetry. Phys. Rev. Lett. 105, 227203 (2010).

    Article  ADS  Google Scholar 

  23. Lu, W. et al. The role of octahedral tilting in the structural phase transition and magnetic anisotropy in SrRuO3 thin film. J. Appl. Phys. 113, 063901 (2013).

    Article  ADS  Google Scholar 

  24. Rondinelli, J. M., May, S. J. & Freeland, J. W. Control of octahedral connectivity in perovskite oxide heterostructures: an emerging route to multifunctional materials discovery. MRS Bull. 37, 261–270 (2012).

    Article  CAS  Google Scholar 

  25. Smith, P. F. et al. Coordination geometry and oxidation state requirements of corner-sharing MnO6 octahedra for water oxidation catalysis: an investigation of manganite (γ-MnOOH). ACS Catal. 6, 2089–2099 (2016).

    Article  CAS  Google Scholar 

  26. Haji-Akbari, A. et al. Disordered, quasicrystalline and crystalline phases of densely packed tetrahedra. Nature 462, 773–777 (2009).

    Article  ADS  CAS  Google Scholar 

  27. Serafin, F., Lu, J., Kotov, N., Sun, K. & Mao, X. Frustrated self-assembly of non-Euclidean crystals of nanoparticles. Nat. Commun. 12, 4925 (2021).

    Article  ADS  CAS  Google Scholar 

  28. Conway, J. H. & Torquato, S. Packing, tiling, and covering with tetrahedra. Proc. Natl Acad. Sci. USA 103, 10612–10617 (2006).

    Article  ADS  MathSciNet  CAS  MATH  Google Scholar 

  29. Gómez-Graña, S. et al. Surfactant (bi)layers on gold nanorods. Langmuir 28, 1453–1459 (2012).

    Article  Google Scholar 

  30. Damasceno, P. F., Engel, M. & Glotzer, S. C. Crystalline assemblies and densest packings of a family of truncated tetrahedra and the role of directional entropic forces. ACS Nano 6, 609–614 (2012).

    Article  CAS  Google Scholar 

  31. Haji-Akbari, A., Engel, M. & Glotzer, S. C. Phase diagram of hard tetrahedra. J. Chem. Phys. 135, 194101 (2011).

    Article  ADS  Google Scholar 

  32. Jin, W., Lu, P. & Li, S. Evolution of the dense packings of spherotetrahedral particles: from ideal tetrahedra to spheres. Sci Rep. 5, 15640 (2015).

    Article  ADS  CAS  Google Scholar 

  33. Boles, M. A. & Talapin, D. V. Self-assembly of tetrahedral CdSe nanocrystals: effective “patchiness” via anisotropic steric interaction. J. Am. Chem. Soc. 136, 5868–5871 (2014).

    Article  CAS  Google Scholar 

  34. Kuwata-Gonokami, M. et al. Giant optical activity in quasi-two-dimensional planar nanostructures. Phys. Rev. Lett. 95, 227401 (2005).

    Article  ADS  Google Scholar 

  35. Nechayev, S., Barczyk, R., Mick, U. & Banzer, P. Substrate-induced chirality in an individual nanostructure. ACS Photonics 6, 1876–1881 (2019).

    Article  CAS  Google Scholar 

  36. Kim, J.-Y. et al. Assembly of gold nanoparticles into chiral superstructures driven by circularly polarized light. J. Am. Chem. Soc. 141, 11739–11744 (2019).

    Article  CAS  Google Scholar 

  37. Osipov, M. A., Pickup, B. T. & Dunmur, D. A. A new twist to molecular chirality: intrinsic chirality indices. Mol. Phys. 84, 1193–1206 (1995).

    Article  ADS  CAS  Google Scholar 

  38. Feist, A. et al. Quantum coherent optical phase modulation in an ultrafast transmission electron microscope. Nature 521, 200–203 (2015).

    Article  ADS  CAS  Google Scholar 

  39. Barwick, B., Flannigan, D. J. & Zewail, A. H. Photon-induced near-field electron microscopy. Nature 462, 902–906 (2009).

    Article  ADS  CAS  Google Scholar 

  40. Piazza, L. et al. Simultaneous observation of the quantization and the interference pattern of a plasmonic near-field. Nat. Commun. 6, 6407 (2015).

    Article  ADS  CAS  Google Scholar 

  41. Liu, H. et al. Visualization of plasmonic couplings using ultrafast electron microscopy. Nano Lett. 21, 5842–5849 (2021).

    Article  ADS  CAS  Google Scholar 

  42. Vinegrad, E. et al. Circular dichroism of single particles. ACS Photonics 5, 2151–2159 (2018).

    Article  CAS  Google Scholar 

  43. Zhu, G. et al. Self-similar mesocrystals form via interface-driven nucleation and assembly. Nature 590, 416–422 (2021).

    Article  ADS  CAS  Google Scholar 

  44. Kim, B. H. et al. Critical differences in 3D atomic structure of individual ligand-protected nanocrystals in solution. Science 368, 60–67 (2020).

    Article  ADS  CAS  Google Scholar 

  45. Ou, Z., Wang, Z., Luo, B., Luijten, E. & Chen, Q. Kinetic pathways of crystallization at the nanoscale. Nat. Mater. 19, 450–455 (2020).

    Article  ADS  CAS  Google Scholar 

  46. Liu, C. et al. “Colloid–atom duality” in the assembly dynamics of concave gold nanoarrows. J. Am. Chem. Soc. 142, 11669–11673 (2020).

    Article  CAS  Google Scholar 

  47. Sun, K., Souslov, A., Mao, X. & Lubensky, T. Surface phonons, elastic response, and conformal invariance in twisted kagome lattices. Proc. Natl Acad. Sci. USA 109, 12369–12374 (2012).

    Article  ADS  CAS  Google Scholar 

  48. Mao, X. & Lubensky, T. C. Maxwell lattices and topological mechanics. Annu. Rev. Condens. Matter Phys. 9, 413–433 (2018).

    Article  ADS  Google Scholar 

  49. Zheng, Y. et al. Seed‐mediated synthesis of gold tetrahedra in high purity and with tunable, well‐controlled sizes. Chem. Asian J. 9, 2635–2640 (2014).

    Article  CAS  Google Scholar 

  50. Zhou, S. et al. Enabling complete ligand exchange on the surface of gold nanocrystals through the deposition and then etching of silver. J. Am. Chem. Soc. 140, 11898–11901 (2018).

    Article  CAS  Google Scholar 

  51. Kim, A. et al. Tip-patched nanoprisms from formation of ligand islands. J. Am. Chem. Soc. 141, 11796–11800 (2019).

    Article  CAS  Google Scholar 

Download references

Acknowledgements

Experiments were carried out in part in the Materials Research Laboratory (MRL) Central Research Facilities, University of Illinois. We thank J. Spear and H. Zhou (MRL) for assistance with SEM measurements. We are grateful to D. Vecchio for participation in the calculation of CI. This research was supported by the Office of Naval Research (no. MURI N00014-20-1-2479). S.Z. and Q.C. thank the Alfred Sloan Foundation for support via the Sloan fellowship. We also thank the Center for Nanoscale Materials, a US Department of Energy Office of Science User Facility, supported by the US Department of Energy, Office of Basic Energy Sciences, under contract no. DE-AC02-06CH11357. N.A.K., J. Lu and J.-Y.K. thank the Vannevar Bush DoD Fellowship (to N.A.K.) entitled ‘Engineered Chiral Ceramics’ (no. ONR N000141812876). FDTD simulations and OPD calculations were supported by NSF (no. 1463474, entitled ‘Energy- and Cost-Efficient Manufacturing Employing Nanoparticles’). Research by A.T. was supported by the US Department of Energy (US DoE), Office of Basic Energy Sciences, Division of Materials Sciences and Engineering. Ames National Laboratory is operated for the US DoE by Iowa State University under contract DE-AC02-07CH11358.

Author information

Authors and Affiliations

Authors

Contributions

S.Z., J. Li, J. Lu and Q.C. designed the experiments. S.Z. and J. Li performed the experiments and data analysis. J. Li performed interaction calculations. J. Lu and N.A.K. performed FDTD simulations and analysed simulation data. H.L., Z.D.H., T.E.G. and I.A. performed PINEM experiments. J-Y.K. performed OPD calculations. S.Z. and A.K. performed tetrahedron purification. L.Y. developed protocols for image analysis and particle tracking. C.L., C.Q. and J. Li performed liquid-phase TEM experiments. N.A.K. built the GT model of the superlattices and calculated the CI values of the superlattices. W.C. contributed to property discussions. X.L. and A.T. contributed to geometric calculation and analysis. K.S. contributed to Maxwell lattice construction and discussion. All authors contributed to the writing of the paper. Q.C. and N.A.K. supervised the work.

Corresponding authors

Correspondence to Nicholas A. Kotov or Qian Chen.

Ethics declarations

Competing interests

The authors declare no competing interests.

Peer review

Peer review information

Nature thanks Ou Chen, Andrei Petukhov and the other, anonymous, reviewer(s) for their contribution to the peer review of this work. Peer reviewer reports are available.

Additional information

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary information

Supplementary Information

This file contains Supplementary Notes 1–6, Tables 1–7, Figs. 1–27 and references.

Peer Review File

Supplementary Video 1. Animations of lattice transformation of tetrahedron mono- and bilayers under effective in-plane ‘compression’.

Animations showing the tetrahedron monolayer forming into a disordered structure under effective in-plane ‘compression’ (left) and the achiral honeycomb bilayer lattice transforming into a pinwheel bilayer lattice by switching from corner-to-corner connections to corner-to-edge connections (right) in top and perspective views.

Supplementary Video 2. Animations showing that the tetrahedron pinwheel bilayer lattice is chiral with the substrate.

Without substrate, the pinwheel bilayer lattice can overlap with its mirror image by flipping whereas, with substrate, the pinwheel bilayer lattice can no longer overlap with the mirror image through flipping.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhou, S., Li, J., Lu, J. et al. Chiral assemblies of pinwheel superlattices on substrates. Nature 612, 259–265 (2022). https://doi.org/10.1038/s41586-022-05384-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/s41586-022-05384-8

This article is cited by

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing