Phase Diagram and Structure Map of Binary Nanoparticle Superlattices from a Lennard-Jones Model
Abstract
A first-principles prediction of the binary nanoparticle phase diagram assembled by solvent evaporation has eluded theoretical approaches. In this paper, we show that a binary system interacting through the Lennard-Jones (LJ) potential contains all experimental phases in which nanoparticles are effectively described as quasi hard spheres. We report a phase diagram consisting of 53 equilibrium phases, whose stability is quite insensitive to the microscopic details of the potentials, thus giving rise to some type of universality. Furthermore, we show that binary lattices may be understood as consisting of certain particle clusters, i.e., motifs, that provide a generalization of the four conventional Frank–Kasper polyhedral units. Our results show that metastable phases share the very same motifs as equilibrium phases. Finally, we discuss the connection with packing models, phase diagrams with repulsive potentials, and the prediction of likely experimental superlattices.
- Authors:
-
- Iowa State Univ., Ames, IA (United States); Ames Lab., Ames, IA (United States)
- Iowa State Univ., Ames, IA (United States); Ames Lab., Ames, IA (United States); Columbia Univ., New York, NY (United States)
- Ames Lab., Ames, IA (United States)
- Publication Date:
- Research Org.:
- Ames Laboratory (AMES), Ames, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF)
- OSTI Identifier:
- 1633766
- Report Number(s):
- IS-J-10,227
Journal ID: ISSN 1936-0851
- Grant/Contract Number:
- AC02-07CH11358; EAR-1918126; EAR-1918134
- Resource Type:
- Accepted Manuscript
- Journal Name:
- ACS Nano
- Additional Journal Information:
- Journal Volume: 14; Journal Issue: 6; Journal ID: ISSN 1936-0851
- Publisher:
- American Chemical Society (ACS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Nanoparticle; crystal gene; motif; material prediction; material design; chemical structure; cancer; equilibrium; lattices; phase diagrams
Citation Formats
Ren, Shang, Sun, Yang, Zhang, Feng, Travesset, Alex, Wang, Cai-Zhuang, and Ho, Kai-Ming. Phase Diagram and Structure Map of Binary Nanoparticle Superlattices from a Lennard-Jones Model. United States: N. p., 2020.
Web. doi:10.1021/acsnano.0c00250.
Ren, Shang, Sun, Yang, Zhang, Feng, Travesset, Alex, Wang, Cai-Zhuang, & Ho, Kai-Ming. Phase Diagram and Structure Map of Binary Nanoparticle Superlattices from a Lennard-Jones Model. United States. https://doi.org/10.1021/acsnano.0c00250
Ren, Shang, Sun, Yang, Zhang, Feng, Travesset, Alex, Wang, Cai-Zhuang, and Ho, Kai-Ming. Mon .
"Phase Diagram and Structure Map of Binary Nanoparticle Superlattices from a Lennard-Jones Model". United States. https://doi.org/10.1021/acsnano.0c00250. https://www.osti.gov/servlets/purl/1633766.
@article{osti_1633766,
title = {Phase Diagram and Structure Map of Binary Nanoparticle Superlattices from a Lennard-Jones Model},
author = {Ren, Shang and Sun, Yang and Zhang, Feng and Travesset, Alex and Wang, Cai-Zhuang and Ho, Kai-Ming},
abstractNote = {A first-principles prediction of the binary nanoparticle phase diagram assembled by solvent evaporation has eluded theoretical approaches. In this paper, we show that a binary system interacting through the Lennard-Jones (LJ) potential contains all experimental phases in which nanoparticles are effectively described as quasi hard spheres. We report a phase diagram consisting of 53 equilibrium phases, whose stability is quite insensitive to the microscopic details of the potentials, thus giving rise to some type of universality. Furthermore, we show that binary lattices may be understood as consisting of certain particle clusters, i.e., motifs, that provide a generalization of the four conventional Frank–Kasper polyhedral units. Our results show that metastable phases share the very same motifs as equilibrium phases. Finally, we discuss the connection with packing models, phase diagrams with repulsive potentials, and the prediction of likely experimental superlattices.},
doi = {10.1021/acsnano.0c00250},
journal = {ACS Nano},
number = 6,
volume = 14,
place = {United States},
year = {Mon Jun 01 00:00:00 EDT 2020},
month = {Mon Jun 01 00:00:00 EDT 2020}
}
Web of Science
Works referenced in this record:
Prospects of Nanoscience with Nanocrystals
journal, January 2015
- Kovalenko, Maksym V.; Manna, Liberato; Cabot, Andreu
- ACS Nano, Vol. 9, Issue 2
Polymorphism in AB 13 Nanoparticle Superlattices: An Example of Semiconductor−Metal Metamaterials
journal, June 2005
- Shevchenko, Elena V.; Talapin, Dmitri V.; O'Brien, Stephen
- Journal of the American Chemical Society, Vol. 127, Issue 24
Self-Assembly of Colloidal Nanocrystals: From Intricate Structures to Functional Materials
journal, August 2016
- Boles, Michael A.; Engel, Michael; Talapin, Dmitri V.
- Chemical Reviews, Vol. 116, Issue 18
Many-Body Effects in Nanocrystal Superlattices: Departure from Sphere Packing Explains Stability of Binary Phases
journal, March 2015
- Boles, Michael A.; Talapin, Dmitri V.
- Journal of the American Chemical Society, Vol. 137, Issue 13
Soft Skyrmions, Spontaneous Valence and Selection Rules in Nanoparticle Superlattices
journal, May 2017
- Travesset, Alex
- ACS Nano, Vol. 11, Issue 6
Entropy-driven formation of a superlattice in a hard-sphere binary mixture
journal, September 1993
- Eldridge, M. D.; Madden, P. A.; Frenkel, D.
- Nature, Vol. 365, Issue 6441
The Densest Packing of AB Binary Hard-Sphere Homogeneous Compounds across all Size Ratios
journal, September 2008
- Kummerfeld, Jonathan K.; Hudson, Toby S.; Harrowell, Peter
- The Journal of Physical Chemistry B, Vol. 112, Issue 35
Prediction of binary hard-sphere crystal structures
journal, April 2009
- Filion, Laura; Dijkstra, Marjolein
- Physical Review E, Vol. 79, Issue 4
Efficient Method for Predicting Crystal Structures at Finite Temperature: Variable Box Shape Simulations
journal, October 2009
- Filion, Laura; Marechal, Matthieu; van Oorschot, Bas
- Physical Review Letters, Vol. 103, Issue 18
Densest binary sphere packings
journal, February 2012
- Hopkins, Adam B.; Stillinger, Frank H.; Torquato, Salvatore
- Physical Review E, Vol. 85, Issue 2
Predictive Self-Assembly of Polyhedra into Complex Structures
journal, July 2012
- Damasceno, P. F.; Engel, M.; Glotzer, S. C.
- Science, Vol. 337, Issue 6093
Perspective: Basic understanding of condensed phases of matter via packing models
journal, July 2018
- Torquato, S.
- The Journal of Chemical Physics, Vol. 149, Issue 2
Relevance of packing to colloidal self-assembly
journal, January 2018
- Cersonsky, Rose K.; van Anders, Greg; Dodd, Paul M.
- Proceedings of the National Academy of Sciences, Vol. 115, Issue 7
Binary nanoparticle superlattices of soft-particle systems
journal, July 2015
- Travesset, Alex
- Proceedings of the National Academy of Sciences, Vol. 112, Issue 31
Prediction of binary nanoparticle superlattices from soft potentials
journal, January 2016
- Horst, Nathan; Travesset, Alex
- The Journal of Chemical Physics, Vol. 144, Issue 1
Influence of Softness on the Stability of Binary Colloidal Crystals
journal, November 2019
- LaCour, R. Allen; Adorf, Carl Simon; Dshemuchadse, Julia
- ACS Nano, Vol. 13, Issue 12
Nanoparticle Superlattices as Quasi-Frank-Kasper Phases
journal, September 2017
- Travesset, Alex
- Physical Review Letters, Vol. 119, Issue 11
Systematic Mapping of Binary Nanocrystal Superlattices: The Role of Topology in Phase Selection
journal, March 2019
- Coropceanu, Igor; Boles, Michael A.; Talapin, Dmitri V.
- Journal of the American Chemical Society, Vol. 141, Issue 14
Capping Ligand Vortices as “Atomic Orbitals” in Nanocrystal Self-Assembly
journal, September 2017
- Waltmann, Curt; Horst, Nathan; Travesset, Alex
- ACS Nano, Vol. 11, Issue 11
Many Body Effects and Icosahedral Order in Superlattice Self-Assembly
journal, June 2018
- Waltmann, Tommy; Waltmann, Curt; Horst, Nathan
- Journal of the American Chemical Society, Vol. 140, Issue 26
Potential of mean force for two nanocrystals: Core geometry and size, hydrocarbon unsaturation, and universality with respect to the force field
journal, July 2018
- Waltmann, Curt; Horst, Nathan; Travesset, Alex
- The Journal of Chemical Physics, Vol. 149, Issue 3
Stability and Free Energy of Nanocrystal Chains and Superlattices
journal, July 2018
- Zha, Xun; Travesset, Alex
- The Journal of Physical Chemistry C, Vol. 122, Issue 40
Molecular Geometry Optimization with a Genetic Algorithm
journal, July 1995
- Deaven, D. M.; Ho, K. M.
- Physical Review Letters, Vol. 75, Issue 2
Comparing efficiencies of genetic and minima hopping algorithms for crystal structure prediction
journal, January 2010
- Ji, Min; Wang, Cai-Zhuang; Ho, Kai-Ming
- Physical Chemistry Chemical Physics, Vol. 12, Issue 37
Ordered arrangements of spheres of two different sizes in opal
journal, September 1978
- Sanders, J. V.; Murray, M. J.
- Nature, Vol. 275, Issue 5677
Close-packed structures of spheres of two different sizes II. The packing densities of likely arrangements
journal, December 1980
- Murray, M. J.; Sanders, J. V.
- Philosophical Magazine A, Vol. 42, Issue 6
Topological structure prediction in binary nanoparticle superlattices
journal, January 2017
- Travesset, A.
- Soft Matter, Vol. 13, Issue 1
‘Crystal Genes’ in Metallic Liquids and Glasses
journal, March 2016
- Sun, Yang; Zhang, Feng; Ye, Zhuo
- Scientific Reports, Vol. 6, Issue 1
Complex alloy structures regarded as sphere packings. I. Definitions and basic principles
journal, March 1958
- Frank, F. C.; Kasper, J. S.
- Acta Crystallographica, Vol. 11, Issue 3
Complex alloy structures regarded as sphere packings. II. Analysis and classification of representative structures
journal, July 1959
- Frank, F. C.; Kasper, J. S.
- Acta Crystallographica, Vol. 12, Issue 7
A tentative description of the crystallography of amorphous solids
journal, January 1979
- Kléman, M.; Sadoc, J. F.
- Journal de Physique Lettres, Vol. 40, Issue 21
Order, frustration, and defects in liquids and glasses
journal, November 1983
- Nelson, David R.
- Physical Review B, Vol. 28, Issue 10
Phase diagram of power law and Lennard-Jones systems: Crystal phases
journal, October 2014
- Travesset, Alex
- The Journal of Chemical Physics, Vol. 141, Issue 16
Commentary: The Materials Project: A materials genome approach to accelerating materials innovation
journal, July 2013
- Jain, Anubhav; Ong, Shyue Ping; Hautier, Geoffroy
- APL Materials, Vol. 1, Issue 1
FINDSYM : program for identifying the space-group symmetry of a crystal
journal, January 2005
- Stokes, Harold T.; Hatch, Dorian M.
- Journal of Applied Crystallography, Vol. 38, Issue 1
Lattice sums and their phase diagram implications for the classical Lennard-Jones model
journal, September 2001
- Stillinger, Frank H.
- The Journal of Chemical Physics, Vol. 115, Issue 11
Atomistic cluster alignment method for local order mining in liquids and glasses
journal, November 2010
- Fang, X. W.; Wang, C. Z.; Yao, Y. X.
- Physical Review B, Vol. 82, Issue 18
A comparative study of Sm networks in Al-10 at.%Sm glass and associated crystalline phases
journal, January 2018
- Lv, Xiaobao; Ye, Zhuo; Sun, Yang
- Philosophical Magazine Letters, Vol. 98, Issue 1
New High-Density Packings of Similarly Sized Binary Spheres
journal, September 2011
- O’Toole, Patrick I.; Hudson, Toby S.
- The Journal of Physical Chemistry C, Vol. 115, Issue 39
Structural diversity in binary nanoparticle superlattices
journal, January 2006
- Shevchenko, Elena V.; Talapin, Dmitri V.; Kotov, Nicholas A.
- Nature, Vol. 439, Issue 7072, p. 55-59
Binary Assembly of PbS and Au Nanocrystals: Patchy PbS Surface Ligand Coverage Stabilizes the CuAu Superlattice
journal, April 2019
- Boles, Michael A.; Talapin, Dmitri V.
- ACS Nano, Vol. 13, Issue 5
Space fullerenes: a computer search for new Frank–Kasper structures
journal, August 2010
- Dutour Sikirić, Mathieu; Delgado-Friedrichs, Olaf; Deza, Michel
- Acta Crystallographica Section A Foundations of Crystallography, Vol. 66, Issue 5
Crystal structure prediction using ab initio evolutionary techniques: Principles and applications
journal, June 2006
- Oganov, Artem R.; Glass, Colin W.
- The Journal of Chemical Physics, Vol. 124, Issue 24
Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995
- Plimpton, Steve
- Journal of Computational Physics, Vol. 117, Issue 1
General purpose molecular dynamics simulations fully implemented on graphics processing units
journal, May 2008
- Anderson, Joshua A.; Lorenz, Chris D.; Travesset, A.
- Journal of Computational Physics, Vol. 227, Issue 10