NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.
Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.
An official website of the United States government
Here’s how you know
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
Programming Interfacial Porosity and Symmetry with Escherized Colloids
Published
Author(s)
Nathan Mahynski, Vincent K. Shen
Abstract
We simultaneously design the porosity and plane symmetry of self-assembling colloidal films by using isohedral tiles to determine the location and shape of enthalpically interacting surface patches on motifs being functionalized. The symmetries of both the tile and motif determine the symmetry group of the final assembly. Previous work has either ignored symmetry altogether or accounted for only the tile's properties, applicable only when the motif is asymmetric; this approach provides a complete accounting and enables the design of symmetric colloids using this tile-based approach, which are often more practical to manufacture. We present the methodology, based on the henomeric type of the tile, and provide computational tools which enable automatic classification of all tiles for a given motif, and the optimization of the tile to fit the motif, sometimes referred to as "Escherization".
Mahynski, N.
and Shen, V.
(2024),
Programming Interfacial Porosity and Symmetry with Escherized Colloids, Journal of Chemical Theory and Computation, [online], https://doi.org/10.1021/acs.jctc.3c01284, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=956660
(Accessed October 9, 2025)