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Title: Using symmetry to elucidate the importance of stoichiometry in colloidal crystal assembly

Abstract

Abstract We demonstrate a method based on symmetry to predict the structure of self-assembling, multicomponent colloidal mixtures. This method allows us to feasibly enumerate candidate structures from all symmetry groups and is many orders of magnitude more computationally efficient than combinatorial enumeration of these candidates. In turn, this permits us to compute ground-state phase diagrams for multicomponent systems. While tuning the interparticle potentials to produce potentially complex interactions represents the conventional route to designing exotic lattices, we use this scheme to demonstrate that simple potentials can also give rise to such structures which are thermodynamically stable at moderate to low temperatures. Furthermore, for a model two-dimensional colloidal system, we illustrate that lattices forming a complete set of 2-, 3-, 4-, and 6-fold rotational symmetries can be rationally designed from certain systems by tuning the mixture composition alone, demonstrating that stoichiometric control can be a tool as powerful as directly tuning the interparticle potentials themselves.

Authors:
ORCiD logo; ; ; ORCiD logo
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division
OSTI Identifier:
1619511
Alternate Identifier(s):
OSTI ID: 1527358
Grant/Contract Number:  
SC0013979; AC02-05CH11231
Resource Type:
Published Article
Journal Name:
Nature Communications
Additional Journal Information:
Journal Name: Nature Communications Journal Volume: 10 Journal Issue: 1; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Country of Publication:
United Kingdom
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

Mahynski, Nathan A., Pretti, Evan, Shen, Vincent K., and Mittal, Jeetain. Using symmetry to elucidate the importance of stoichiometry in colloidal crystal assembly. United Kingdom: N. p., 2019. Web. doi:10.1038/s41467-019-10031-4.
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Mahynski, Nathan A., Pretti, Evan, Shen, Vincent K., & Mittal, Jeetain. Using symmetry to elucidate the importance of stoichiometry in colloidal crystal assembly. United Kingdom. https://doi.org/10.1038/s41467-019-10031-4
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Mahynski, Nathan A., Pretti, Evan, Shen, Vincent K., and Mittal, Jeetain. Thu . "Using symmetry to elucidate the importance of stoichiometry in colloidal crystal assembly". United Kingdom. https://doi.org/10.1038/s41467-019-10031-4.
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@article{osti_1619511,
title = {Using symmetry to elucidate the importance of stoichiometry in colloidal crystal assembly},
author = {Mahynski, Nathan A. and Pretti, Evan and Shen, Vincent K. and Mittal, Jeetain},
abstractNote = {Abstract We demonstrate a method based on symmetry to predict the structure of self-assembling, multicomponent colloidal mixtures. This method allows us to feasibly enumerate candidate structures from all symmetry groups and is many orders of magnitude more computationally efficient than combinatorial enumeration of these candidates. In turn, this permits us to compute ground-state phase diagrams for multicomponent systems. While tuning the interparticle potentials to produce potentially complex interactions represents the conventional route to designing exotic lattices, we use this scheme to demonstrate that simple potentials can also give rise to such structures which are thermodynamically stable at moderate to low temperatures. Furthermore, for a model two-dimensional colloidal system, we illustrate that lattices forming a complete set of 2-, 3-, 4-, and 6-fold rotational symmetries can be rationally designed from certain systems by tuning the mixture composition alone, demonstrating that stoichiometric control can be a tool as powerful as directly tuning the interparticle potentials themselves.},
doi = {10.1038/s41467-019-10031-4},
journal = {Nature Communications},
number = 1,
volume = 10,
place = {United Kingdom},
year = {Thu May 02 00:00:00 EDT 2019},
month = {Thu May 02 00:00:00 EDT 2019}
}
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https://doi.org/10.1038/s41467-019-10031-4
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