Truchet-tile structure of a topologically aperiodic metal-organic framework

Emily G. Meekel; Ella M. Schmidt; Lisa J. Cameron; A. David Dharma; Hunter J. Windsor; Samuel G. Duyker; Arianna Minelli; Tom Pope; Giovanni Orazio Lepore; Ben Slater; Cameron J. Kepert; Andrew L. Goodwin

doi:10.1126/science.ade5239

Truchet-tile structure of a topologically aperiodic metal-organic framework

Emily G. Meekel, Ella M. Schmidt, Lisa J. Cameron, A. David Dharma, Hunter J. Windsor, Samuel G. Duyker, Arianna Minelli, Tom Pope, Giovanni Orazio Lepore, Ben Slater, Cameron J. Kepert, Andrew L. Goodwin

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

When tiles decorated to lower their symmetry are joined together, they can form aperiodic and labyrinthine patterns. Such Truchet tilings offer an efficient mechanism of visual data storage related to that used in barcodes and QR codes. We show that the crystalline metal-organic framework [OZn₄][1,3-benzenedicarboxylate]₃ (TRUMOF-1) is an atomic-scale realization 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.

Original language	English
Pages (from-to)	357-361
Number of pages	5
Journal	Science
Volume	379
Issue number	6630
DOIs	https://doi.org/10.1126/science.ade5239
State	Published - Jan 27 2023
Externally published	Yes

Funding

We acknowledge the provision of beamtime by the LISA beamline at the ESRF and the facilities and the scientific and technical assistance of Sydney Analytical, a core research facility at the University of Sydney. This work was supported by the Australian Research Council (grants DP150104620 and DP190103130 to C.J.K.), the Royal Society (industry fellowship grant IF160062 to B.S. and studentship INF\PHD\180018 to T.P.), and the European Research Council (advanced grant 788144 to A.L.G.). The authors also acknowledge support in the form of access to the UK's ARCHER2 supercomputer through the Materials Chemistry Consortium, which is funded by the Engineering and Physical Sciences Research Council (grant EP/R029431).

Funders	Funder number
Engineering and Physical Sciences Research Council	EP/R029431
European Research Council	788144
Australian Research Council	DP150104620, DP190103130
University of Sydney
Royal Society of South Australia	IF160062, INF\PHD\180018

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AU - Meekel, Emily G.

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AU - Windsor, Hunter J.

AU - Duyker, Samuel G.

AU - Minelli, Arianna

AU - Pope, Tom

AU - Lepore, Giovanni Orazio

AU - Slater, Ben

AU - Kepert, Cameron J.

AU - Goodwin, Andrew L.

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AB - When tiles decorated to lower their symmetry are joined together, they can form aperiodic and labyrinthine patterns. Such Truchet tilings offer an efficient mechanism of visual data storage related to that used in barcodes and QR codes. We show that the crystalline metal-organic framework [OZn4][1,3-benzenedicarboxylate]3 (TRUMOF-1) is an atomic-scale realization 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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Truchet-tile structure of a topologically aperiodic metal-organic framework

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