Do chemists control plane packing, <i>i.e.</i> two-dimensional self-assembly, at all scales?

Chinaud-Chaix, Clémence; Marchenko, N. B.; Fernique, Thomas; Tricard, Simon

doi:10.1039/d3nj00208j

Cited by 2 publications

(1 citation statement)

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“…The two-dimensional (2D) packing of flat objects is a fascinating area of study that spans across multiple disciplines, including mathematics, optical art, and supramolecular chemistry. − In the on-surface chemistry, this topic is particularly intriguing, as it allows for the controlled synthesis of sophisticated low-dimensional patterns comprising simple functional molecular building blocks. Using the bottom-up strategy, the nanopatterned solid surfaces can be rationally fabricated, allowing for the spontaneous formation of open porous networks, − planar tessellations, , fractal crystals, , nanoribbons, chains, rings, macrocycles, and others, which are inaccessible by other synthetic means.…”

Section: Introductionmentioning

confidence: 99%

Steering the Surface-Confined Self-Assembly of Multifunctional Star-Shaped Molecules

Nieckarz

2023

J. Phys. Chem. C

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Directing the self-assembly (SA) of small organic molecules into low-dimensional porous patterns is a versatile method for the bottom-up fabrication of flat nanomaterials with controllable architecture and functions. However, the rational synthesis of the self-assembled monolayers (SAMs) requires carefully choosing the building blocks with a proper size, shape, and functionalization scheme. Among the molecular bricks used for this purpose, especially promising are the (N-hetero)aromatic star-shaped molecules equipped from three to six electronegative functional groups, providing anisotropic in-plane intermolecular interactions. Therefore, in this work, the surface-confined SA of tripodal polytopic molecules was investigated using lattice Markov chain Monte Carlo (MCMC) computer simulations in the canonical ensemble. Specifically, the simulated building blocks were equipped with terminal interaction centers providing short-range directional interactions and represented on a flat triangular lattice in a simplified but credible way. By altering the number and intramolecular position of sticky sites attached to these rigid tectons, we observed the emergence of various supramolecular constructs, including isolated well-shaped aggregates, twodimensional (2D) open porous networks, and a series of hierarchically organized floral phases, which were classified according to their morphological properties. Our theoretical findings may be helpful in predicting the SA of π-aromatic multifunctional tripod molecules on close-packed crystalline surfaces and relevant to the scanning tunneling microscopy (STM) laboratory experimentalists seeking new linkers for the construction of novel surface-supported supramolecular constructs with a predefined topology.

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Section: Introductionmentioning

confidence: 99%

Steering the Surface-Confined Self-Assembly of Multifunctional Star-Shaped Molecules

Nieckarz

2023

J. Phys. Chem. C

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On Compact Packings of Euclidean Space with Spheres of Finitely Many Sizes

Messerschmidt,

Kikianty

2024

Discrete Comput Geom

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For $$d\in {\mathbb {N}}$$ d ∈ N , a compact sphere packing of Euclidean space $${\mathbb {R}}^{d}$$ R d is a set of spheres in $${\mathbb {R}}^{d}$$ R d with disjoint interiors so that the contact hypergraph of the packing is the vertex scheme of a homogeneous simplicial d-complex that covers all of $${\mathbb {R}}^{d}$$ R d . We are motivated by the question: For $$d,n\in {\mathbb {N}}$$ d , n ∈ N with $$d,n\ge 2$$ d , n ≥ 2 , how many configurations of numbers $$0<r_{0}<r_{1}<\cdots <r_{n-1}=1$$ 0 < r 0 < r 1 < ⋯ < r n - 1 = 1 can occur as the radii of spheres in a compact sphere packing of $${\mathbb {R}}^{d}$$ R d wherein there occur exactly n sizes of sphere? We introduce what we call ‘heteroperturbative sets’ of labeled triangulations of unit spheres and we discuss the existence of non-trivial examples of heteroperturbative sets. For a fixed heteroperturbative set, we discuss how a compact sphere packing may be associated to the heteroperturbative set or not. We proceed to show, for $$d,n\in {\mathbb {N}}$$ d , n ∈ N with $$d,n\ge 2$$ d , n ≥ 2 and for a fixed heteroperturbative set, that the collection of all configurations of n distinct positive numbers that can occur as the radii of spheres in a compact packing is finite, when taken over all compact sphere packings of $${\mathbb {R}}^{d}$$ R d which have exactly n sizes of sphere and which are associated to the fixed heteroperturbative set.

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Do chemists control plane packing, i.e. two-dimensional self-assembly, at all scales?

Abstract: Two-dimensional (2D) self-assembly (SA) is an efficient strategy to organize building blocks in a simple and efficient way. Actually, different communities of chemists or physicists use 2D SA, with different...

Cited by 2 publications

References 96 publications

Steering the Surface-Confined Self-Assembly of Multifunctional Star-Shaped Molecules

Steering the Surface-Confined Self-Assembly of Multifunctional Star-Shaped Molecules

On Compact Packings of Euclidean Space with Spheres of Finitely Many Sizes

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