Truchet-tile structure of a topologically aperiodic metal-organic framework
Abstract
Periodic tilings can store information if individual tiles are decorated to lower their symmetry. Truchet tilings - the broad family of space-filling arrangements of such tiles - offer an efficient mechanism of visual data storage related to that used in barcodes and QR codes. Here, we show that the crystalline metal-organic framework [OZn][1,3-benzenedicarboxylate] (TRUMOF-1) is an atomic-scale realisation of a complex three-dimensional Truchet tiling. Its crystal structure consists of a periodically-arranged assembly of identical zinc-containing clusters connected uniformly in a well-defined but disordered fashion to give a topologically aperiodic microporous network. We suggest that this unusual structure emerges as a consequence of geometric frustration in the chemical building units from which it is assembled.
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Cite
@article{arxiv.2208.12289,
title = {Truchet-tile structure of a topologically aperiodic metal-organic framework},
author = {Emily G. Meekel and Ella M. Schmidt and Lisa J. Cameron and A. David Dharma and Hunter J. Windsor and Samuel G. Duyker and Arianna Minelli and Tom Pope and Giovanni Orazio Lepore and Ben Slater and Cameron J. Kepert and Andrew L. Goodwin},
journal= {arXiv preprint arXiv:2208.12289},
year = {2022}
}