DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Controlled Self-Assembly of Gold Nanotetrahedra into Quasicrystals and Complex Periodic Supracrystals

Journal Article · · Journal of the American Chemical Society

The self-assembly of shape-anisotropic nanocrystals into large-scale structures is a versatile and scalable approach to creating multifunctional materials. The tetrahedral geometry is ubiquitous in natural and manmade materials, yet regular tetrahedra present a formidable challenge in understanding their self-assembly behavior as they do not tile space. Here, we report diverse supracrystals from gold nanotetrahedra including the quasicrystal (QC) and the dimer packing predicted more than a decade ago and hitherto unknown phases. We solve the complex three-dimensional (3D) structure of the QC by a combination of electron microscopy, tomography, and synchrotron X-ray scattering. Nanotetrahedron vertex sharpness, surface ligands, and assembly conditions work in concert to regulate supracrystal structure. We also discover that the surface curvature of supracrystals can induce structural changes of the QC tiling and eventually, for small supracrystals with high curvature, stabilize a hexagonal approximant. Finally, our findings bridge the gap between computational design and experimental realization of soft matter assemblies and demonstrate the importance of accurate control over nanocrystal attributes and the assembly conditions to realize increasingly complex nanopolyhedron supracrystals.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
National Institute of General Medical Sciences (NIGMS); National Institutes of Health (NIH); USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Biological and Environmental Research (BER)
Grant/Contract Number:
SC0012704
OSTI ID:
2432562
Report Number(s):
BNL--225938-2024-JAAM
Journal Information:
Journal of the American Chemical Society, Journal Name: Journal of the American Chemical Society Journal Issue: 32 Vol. 145; ISSN 0002-7863
Publisher:
American Chemical Society (ACS)Copyright Statement
Country of Publication:
United States
Language:
English

References (47)

Seed-Mediated Synthesis of Gold Tetrahedra in High Purity and with Tunable, Well-Controlled Sizes journal June 2014
Dense Crystalline Dimer Packings of Regular Tetrahedra journal July 2010
Performance improvements for iterative electron tomography reconstruction using graphics processing units (GPUs) journal November 2011
CCPi-Regularisation toolkit for computed tomographic image reconstruction with proximal splitting algorithms journal January 2019
The ASTRA Toolbox: A platform for advanced algorithm development in electron tomography journal October 2015
Colloidal Synthesis of Metal Nanocrystals: From Asymmetrical Growth to Symmetry Breaking journal December 2022
Classifying Crystals of Rounded Tetrahedra and Determining Their Order Parameters Using Dimensionality Reduction journal October 2020
Understanding Symmetry Breaking at the Single-Particle Level via the Growth of Tetrahedron-Shaped Nanocrystals from Higher-Symmetry Precursors journal September 2021
Controlling Nanocrystal Superlattice Symmetry and Shape-Anisotropic Interactions through Variable Ligand Surface Coverage journal March 2011
Self-Assembly of Tetrahedral CdSe Nanocrystals: Effective “Patchiness” via Anisotropic Steric Interaction journal April 2014
In Situ Constructing the Kinetic Roadmap of Octahedral Nanocrystal Assembly Toward Controlled Superlattice Fabrication journal March 2021
Macromolecular Ligand Engineering for Programmable Nanoprism Assembly journal September 2021
Nanoparticle Assembly as a Materials Development Tool journal February 2022
Structural Diversity in Dimension-Controlled Assemblies of Tetrahedral Gold Nanocrystals journal July 2022
Multistep Crystallization of Dynamic Nanoparticle Superlattices in Nonaqueous Solutions journal August 2022
Many Body Effects and Icosahedral Order in Superlattice Self-Assembly journal June 2018
Crystalline Assemblies and Densest Packings of a Family of Truncated Tetrahedra and the Role of Directional Entropic Forces journal November 2011
Distinctive Image Features from Scale-Invariant Keypoints journal November 2004
Assembly and phase transitions of colloidal crystals journal January 2016
Dense packings of the Platonic and Archimedean solids journal August 2009
Disordered, quasicrystalline and crystalline phases of densely packed tetrahedra journal December 2009
Mesophase behaviour of polyhedral particles journal February 2011
Self-assembly of uniform polyhedral silver nanocrystals into densest packings and exotic superlattices journal November 2011
Kinetics of the self-assembly of nanocrystal superlattices measured by real-time in situ X-ray scattering journal March 2016
In situ study of the formation mechanism of two-dimensional superlattices from PbSe nanocrystals journal September 2016
Erasing no-man’s land by thermodynamically stabilizing the liquid–liquid transition in tetrahedral particles journal July 2014
Creating two self-assembly micro-environments to achieve supercrystals with dual structures using polyhedral nanoparticles journal July 2018
Shape control of size-selected naked platinum nanocrystals journal May 2021
Assembly of planar chiral superlattices from achiral building blocks journal July 2022
Entropically engineered formation of fivefold and icosahedral twinned clusters of colloidal shapes journal November 2022
Collective topo-epitaxy in the self-assembly of a 3D quantum dot superlattice journal October 2019
From predictive modelling to machine learning and reverse engineering of colloidal self-assembly journal May 2021
Superstructures generated from truncated tetrahedral quantum dots journal September 2018
Colloidal diamond journal September 2020
Chiral assemblies of pinwheel superlattices on substrates journal November 2022
Bridging the gap: 3D real-space characterization of colloidal assemblies via FIB-SEM tomography journal January 2019
Phase diagram of hard tetrahedra journal November 2011
Sphericity and symmetry breaking in the formation of Frank–Kasper phases from one component materials journal November 2014
Entropic formation of a thermodynamically stable colloidal quasicrystal with negligible phason strain journal February 2021
Predictive Self-Assembly of Polyhedra into Complex Structures journal July 2012
Nonadditivity of nanoparticle interactions journal October 2015
Colloidal matter: Packing, geometry, and entropy journal August 2015
Self-assembly of magnetite nanocubes into helical superstructures journal July 2014
Selective assemblies of giant tetrahedra via precisely controlled positional interactions journal April 2015
Diamond family of nanoparticle superlattices journal February 2016
Clathrate colloidal crystals journal March 2017
Single-component quasicrystalline nanocrystal superlattices through flexible polygon tiling rule journal December 2018