An aperiodic chiral tiling by topological molecular self-assembly

An aperiodic chiral tiling by topological molecular self-assembly | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Physical Sciences - Article An aperiodic chiral tiling by topological molecular self-assembly Jan Voigt, Milos Baljozovic, Kevin Martin, Christian Wäckerlin, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4577708/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 02 Jan, 2025 Read the published version in Nature Communications → Version 1 posted You are reading this latest preprint version Abstract Crystallization remains an important method for separating chiral molecules into their two mirror-image isomers, yet the molecular recognition during aggregation into solids is still not fully understood. In particular, there are no definitive rules to predict whether a pair of chiral partners will crystallize together into racemic crystals or as separate counterparts. A more manageable version of this phenomenon is crystallization in two dimensions, such as the formation of surface structures by adsorbed molecules. The relatively simple spatial arrangement of these systems, coupled with the submolecular resolution provided by modern scanning probe technologies, makes it easier to study the effects of specific chiral interactions. Here, we report spiral topological patterns in the two-dimensional aggregation of chiral molecules on a silver crystal surface. The molecules tessellate the plane in chiral nodes and supramolecular triangles. Spiral annihilation is achieved only through the chiral triangular tiling of triads, with N±1 molecules at the edges and a specific strategy of chiral offsetting of triangles. Due to a high degree of molecular flexibility, entropy is maximized by switching molecular handedness in conjunction with the number of nodes controlled by triangle size. Our results demonstrate that two-dimensional self-assembly can be governed by topological constraints and that an aperiodic tiling of the plane can be realized solely by natural forces without human intervention. Physical sciences/Chemistry/Surface chemistry/Scanning probe microscopy Physical sciences/Materials science/Nanoscale materials/Molecular self-assembly Figures Figure 1 Figure 2 Figure 3 One-Sentence Summary An aperiodic triangular tiling, including spiral motifs is found by two-dimensional topological self-assembly of chiral molecules. Main Text Dating back to ancient times, the art of tiling has been an integral part of human society, with well-known instances including the mosaics of Roman and Arabic cultures . Over the past century, aperiodic sequences of their building blocks have been identified in nucleic acids, such as DNA, for example, and proteins. However, aperiodic two-dimensional tilings have primarily played a significant role in mathematics . A pattern is labeled aperiodic when it lacks a description through unchanging translational vectors. Illustrative two-dimensional examples include quasicrystals and Penrose tiling . The emergence of Wang-Tiles, driven by challenges in computer science, has proved influential , even finding application in the design of human-made DNA assemblies . Geometers are in constant pursuit of novel tessellation patterns, with recent advancements yielding an aperiodic tiling originating from a single polygon , which has to break mirror symmetry . Recently, a theoretical study predicted exceptional physical properties for such aperiodic chiral 2D material . In this study, we demonstrate that the two-dimensional (2D) molecular self-assembly of a chiral aromatic hydrocarbon on a silver surface can lead to a chiral aperiodic tiling without the need for deliberate human intervention. Each single molecule serves as a symmetric chiral monotile, allowing for an aperiodic tiling of the plane at the supramolecular level. Chirality, a concept ubiquitous across natural sciences including chemistry, physics, biology, and physiology , , holds immense significance. The crystallization of chiral molecules has played a pivotal role in comprehending molecular structure - and remains a cornerstone method for achieving enantiopure pharmaceuticals and fragrances . The aggregation of a balanced mixture of left- and right-handed molecules can result in enantiopure but opposite-handed crystal conglomerates or crystals in which both enantiomers populate the crystal unit cell (racemate crystal). In rare instances, both enantiomers are randomly distributed within the crystal lattice, forming a solid solution , . Despite being observed for more than 175 years , predicting the outcome of chiral crystallization remains elusive. To gain insight into complex material phenomena, model systems with high control and reduced complexity are invaluable. Consequently, the exploration of chiral molecule aggregation on surfaces using scanning tunneling microscopy (STM) has proven instrumental in enhancing our understanding of chiral molecular recognition 15 . Topological self-assembly An important class of chiral aromatic chemical compounds are helicenes . The helical arrangement of electronic states resulting from their ortho-annulated aromatic rings renders them highly promising for applications like chiral photonics and chirality-based spintronics - . In contrast to the rigid helicenes employed in previous 2D aggregation studies , tristetrahelicenebenzene (t[4]HB; 1,3,5-tris(benzo[c]phenanthren-2-yl)benzene, Fig. 1 a) boasts greater flexibility. Its structure comprises three tetrahelicene arms connected via single bonds to a central benzene unit (see Methods for the preparation and characterization). The conformers with the lowest energy all have three arms with identical handedness. The helicity can be either left-handed, denoted as M (minus) with the arm spiraling counterclockwise from tip to center away from the observer, or right-handed, denoted as P (plus) with a clockwise spiral. The molecule's flexibility stems from the low barriers of helix inversion in the helical arm units (3.5–4.4 kcal/mol) , and the potential rotation of arms around the three carbon-carbon single bonds. Figure 1 b shows an STM image recorded from a densely packed monolayer of t[4]HB on Ag(111) at 120 K subsequent to deposition under ultra-high vacuum conditions at room temperature (see Materials section). The area shown in Fig. 1 b contains predominantly (M) -t[4]HB. The distribution of the minority (P)- enantiomer in Fig. 1 b is shown in Supplementary Fig. 1. A corresponding STM image of a mirror domain with predominantly (P) -t[4]HB molecules is shown in Supplementary Fig. 2. Detailed structural models of the molecular arrangement around nodes are illustrated in Supplementary Fig. 3. Notably, the 2D self-assembly here shows different topological defects (termed 'nodes' here). Supramolecular spirals with two and three arms originate from two different defects (2- and 3-nodes, respectively). There exist zero-nodes that do not serve as spiral origins but have a void at their center. The 3-nodes also show a void while the 2-nodes, being overcrowded, cause the arms of connecting molecules to bend partly away from the surface. The topology of different nodes can be indexed by a procedure determining the displacement in molecular unit vectors of the supramolecular spirals (Fig. 1 c). For the rules of the procedure encircling the structure along the white line see Supplementary Fig. 4. Specifically, 2-node and 3-node structures prompt displacements of two and three molecular unit vectors, respectively (Fig. 1 c, indicated by yellow arrows). Given that the monolayer also breaks mirror symmetry, these 0-, 2- and 3-nodes exist globally in two enantiomorphous forms (Fig. 1 c). But what makes topological self-assembly different from regular self-assembly? In topological self-assembly additional constraints are imposed onto the assembly process. For example, topological defects (e.g. points, lines, walls) or knot-like structures were observed in liquid crystals due to the presence of chiral dopants or special boundary conditions that do not allow for continuous strain in the entire arrangement , . Differently indexed topological defects are also known for graphene . For the 2D self-assembly here, it is the combination of molecular shape and chirality that impose constraint at the supramolecular level. That is, the handedness and the azimuthal orientation of the t[4]HB molecules cause inevitably formation of topological defects. We will return to this aspect further below. STM images single molecules as triskels (inset of Fig. 1 d) where the tips of the three arms appear brighter. As a result, the helical arm tips are positioned slightly higher above the surface, while the remaining parts of the molecule maintain a parallel orientation to the surface (inset Fig. 1 e). This conformation ensures optimal van der Waals contact with the surface, as only the three terminal benzo groups at the tips are elevated. Furthermore, all three arms possess the same helical sense, simplifying the determination of the molecule's handedness, even without high-resolution STM height data. Contrastingly, deposition onto the surface at low temperatures shows disordered layers and many molecules in meta-stable Y-configurations (Supplementary Fig. 5). Upon thermal activation, however, all molecules are transferred into their state of defined homochirality, which illustrates the low barrier to switch handedness and rotation of the arms around the single C–C bond. In addition to nodes, the molecular monolayer exhibits triangles characterized by hexagonally arranged molecules, as depicted in Fig. 1 d and Fig. 1 e. Within a triangle, the molecules undergo a 60° rotation compared to molecules in adjacent triangles. At the boundary between triangles, molecules are packed slightly denser due to the relative 60° rotation, which permits a closer interdigitation of the helical arms. A structural model of a boundary between triangles primarily containing (P)- enantiomers is presented in Fig. 1 f (refer to Supplementary Fig. 3 for the corresponding model of a boundary between triangles containing (M)- enantiomers). Molecules in neighboring triangles are also situated above distinct adsorption sites. For instance, if molecules in one triangle are positioned with their central benzene ring over a hexagonally closed-packed (hcp) site on the Ag(111) surface, in adjacent triangles, they will be situated above face-centered cubic (fcc) threefold hollow sites. Notably, only the relative arrangement and not the exact adsorbate site is ascertainable here. However, due to the adsorption site displacement between triangles, the unit cell of the boundary (and thus the entire molecular lattice) becomes non-commensurate with the underlying Ag(111) lattice. The self-assembly process of t[4]HB on Ag(111) showcases an intriguing feature: the triangles can manifest in various sizes within a single domain but encompassing only triangles of N ± 1. Here, N represents the number of molecular unit vectors forming the triangular boundary. In the structure depicted in Fig. 1 d, N = 5 predominates, while N = 4 and N = 6 are less common. Similarly, the example from the 'mirror world' in Fig. 1 e exhibits a predominant N = 11, along with minor occurrences of N = 10 and N = 12. Overall, domains showcasing N values ranging from 2 to 15 are also observed (Supplementary Fig. 6), either after fresh sample preparation or when the STM tip is repositioned across the sample at a considerable distance of a few millimeters. It is important to emphasize that these different results have been obtained under identical preparation conditions. Chirality transfer For the ensuing discussion on tiling and the connection between supramolecular nodes and triangular subdomains, it proves beneficial to map colored triangles onto the molecular assembly (Fig. 2 ). This abstraction effectively highlights the correlation between molecular handedness and node handedness, as well as the association between the predominant triangle size N and the adjacent N–1 and N + 1 size triangles. Initially, a color code designates the enantiomer and its azimuthal orientation (Fig. 2 a), which is then applied to the triangular subdomain as colored triangles, each with the corresponding N value (Fig. 2 b). Given the inherent 60° rotation relationship between adjacent triangles and the separation of mirror domains, the color code can be omitted without sacrificing generality. Additionally, a simplified molecular stick model accentuates the interlocking helicene arms at the boundary (Fig. 2 c, top). As the molecular handedness dictates the direction of displacement, triangles can only shift either to the left or the right. Consequently, the transmission of chirality from the individual molecule to the mesoscopic scale is facilitated by the prescribed displacement at triangle boundaries. Three distinct categories of triangle interdigitation emerge. Equally sized triangles necessitate an inevitable offset contingent on the enantiomer's handedness (Fig. 2 c, top). Furthermore, equally sized triangles may exhibit an additional offset of one molecular unit vector (Fig. 2 c, middle), leading to a total offset of 2-unit vectors at that boundary. Lastly, combining triangles of different sizes, N and N ± 1, consistently results in an offset of one molecular unit vector (Fig. 2 c, bottom). This framework enables a total of 10 different triangular pairing configurations (see Supplementary Fig. 7). Nodes with zero, 2, and 3 offsets will respectively feature total offsets of 0, 2, and 3 (Fig. 2 d). The topology established by these offsets translates into the spiral pattern when constructing nodes using N, N ± 1 triangles. Consequently, the handedness of supramolecular nodes emerges from a chiral displacement within the triangular context. It is important to note that deviations from these displacement rules have not been observed. Only 15 of many possible combinations of triangles within the N, N ± 1 scheme have been verified through STM observations (Supplementary Fig. 8). However, we could not identify any tiling rules that would forbid involvement of unobserved combinations. In order to maintain 2D close packing here, topological strategies are at work. That is, the system adapts by either varying the triangle size by one molecular vector unit (N ± 1) or the node type. An illustrative example is presented in Fig. 2 e. A 7 ± 1 triangle arrangement containing exclusively 2-nodes does not lead to close-packing. Subsequently, the central area mandates the inclusion of a 3-node structure to effectively cover the entire region. Two-dimensional molecular self-assembly as model system for tiling has the problem that boundaries between molecules are not well defined . Here, even voids are part of the self-assembly, but tiling requires complete covering the plane. However, there are ways to include these features of self-assembly as tiles, of which two examples are presented in Figs. 2 f and 2 g. Entropy maximization As no polar groups are present in the molecules, the lateral intermolecular interaction is dominated by van der Waals forces. Hence, the largest energy term involved in this self-assembly is the adsorption energy, i.e., the interaction energy between a single molecule and the silver surface. Using previous DFT calculations for PAHs on gold as estimate, the binding might be as strong as 3.5 eV . Consequently, the molecular layer strives to be as densely packed as possible, and a good presentation of the relative energy involved is the lateral density (or local coverage). That is, the number of silver atoms located below a molecule should become as small as possible. Nodes with voids in the center, such as 0- and 3-nodes are therefore energetically less favorable. On the other hand, a large number of nodes also increases the relative contribution of slightly denser boundaries between triangular domains. Therefore, from a certain triangle size on the disadvantage of uncovered node centers becomes compensated. Basically, at N \(\text{≥}\) 4, every molecule covers about 43 silver atoms, which is exactly the value for the pure hexagonal arrangement within a triangle. Consequently, the energy landscape for N \(\text{≥}\) 4 is very flat with respect to different triangular assemblies, which suggests that the 2D self-assembly must be dominated by maximum-entropy arrangements 30 . A mainly entropy-driven self-assembly explains therefore the observation of the large variety of different structures with respect to triangle sizes. The chiral self-assembly of t[4]HB exhibits another distinctive character that increases entropy: The enantiomeric composition within single mirror domains is neither racemic nor homochiral. Instead, a solid solution predominantly composed of either the (M)- or the (P)- enantiomer (Figs. 1 d,e respectively) is observed. The enantiomeric excess (ee [%]), calculated using the formula: ee = ([M] – [P]) / ([M] + [P]) × 100 for the area displayed in Figs. 1 b and Supplementary Fig. 1, is determined to be 80%. Molecular mechanics calculations reveal that the incorporation of the 'incorrect' enantiomer is only disfavored by a mere 2 kcal/mol (Supplementary Fig. 10). Hence, random incorporation of a minority enantiomer does not impose a notable energy penalty. However, it does contribute to the entropy of the aggregation process by S = RT ln2 for a single molecule, while for an ensemble of molecules the entire number of possible arrangements has to be taken into account (Supplementary Eq. 1). In some cases, the triangle size N exceeds the scan range of our STM and only a single domain of hexagonally ordered molecules without any nodes and triangle-boundaries is observed (Fig. 3 a). Interestingly, such purely hexagonally ordered domain contains typically more minority enantiomers (Fig. 3 a, ee = 64%) than structures with nodes and boundaries. Such trend is confirmed by decreasing enantiomeric excess with increasing triangle size ( i.e. , less numbers of nodes per unit area, see Fig. 3 b). This means that a lower entropy due to lower numbers of nodes becomes compensated by larger content of minority enantiomers ( i.e. , lower enantiomeric excess). At initial deposition ee is 0 but becomes automatically adjusted to the triangle size during growth. A frozen lattice inherently lacks the capacity to augment mixing or configurational entropy. Consequently, the establishment of molecular surface dynamics becomes imperative during its formation. Deposition at either low coverage or low temperature fails to yield ordered aggregates. Under low coverage conditions, molecules maintain a considerable distance from one another within a temperature range spanning from room temperature down to 10 K (Supplementary Fig. 11). This observation signifies the presence of minute attractive interactions, suggesting that 2D self-assembly is primarily governed by repulsion at monolayer saturation coverage. The maximization of entropy and topological selection mandates dynamic processes within the lattice during growth, such as enantiomer conversion and lateral rearrangement at a close-packed molecular layer. STM images acquired at room temperature for t[4]HB on Ag(111) indeed exhibit both long-range order and significant dynamics (Supplementary Fig. 12a). Electron diffraction further confirms the presence of order even at temperatures up to 80°C (Supplementary Figs. 12b,c). Under these conditions, one should anticipate dynamic processes, such as site exchange and lattice healing, potentially involving second-layer sites. Notably, for helicenes, existing reports have detailed chiral crystallization dynamics occurring around full monolayer coverages , . The energy penalty of the zero node can be avoided by finding a suitable place holder for occupation of its large void. Hexaphenylbenzene (HPB), for example fits nicely into the 0-node-void, hence changing the energy landscape and thus breaking the entropy-driven self-assembly (Fig. 3 c). Doping the t[4]HB monolayer with HPB leads to a regular lattice structure. Depending on the amount of dopant the HPB molecules are surrounded by different numbers of rings of t[4]HB molecules (Fig. 3 d). The molecules within the same ring exhibit a 60° rotation relative to each other, forming the densest packing. This self-assembly is primarily influenced by the maximum gain in adsorption energy achieved through dense packing. Below a dopant fraction of 3% HPB, the self-assembly process continues to be driven by entropy. Aperiodicity The Wang aperiodic tiling game employs sets of congruent square tiles, each possessing four numbered (or colored) edges 4 . Wang tiles were introduced as a tool for studying decidability in mathematical logic but are also important in theoretical computer science. The question of whether tiling exclusively by translation with matching edge numbers or colors – commonly referred to as the domino problem – possesses a periodic solution, has been proven to be undecidable . However, recent research has demonstrated that a set of 11 Wang tiles is adequate for aperiodically tiling the plane . A mathematical proof confirming that subsets of the triangular tiles presented here inherently possess strictly aperiodic solutions far surpasses the scope of this report. At the very least, our STM observations lend support to this conjecture, as only patterns lacking translational invariance have been observed. One of the fundamental rules of Wang tiling is the prohibition of tile reflection, which essentially transmits into the single handedness requirement of the monotile problem 7 . This restriction is maintained here, as only a minority of opposite-handed molecules occur in all observed structures. Conclusions Until now, aperiodic tilings have primarily been the product of human ingenuity. However, our example demonstrates that two-dimensional molecular self-assembly on nearly perfect surfaces can yield novel aperiodic patterns. The crucial factors in this process are chirality, molecular flexibility and an aggregation scheme driven by the goal of maximizing entropy under topological constraint. Declarations Acknowledgments: Support by the Swiss National Science Foundation is gratefully acknowledged.Financial support in France has been provided by the CNRS, the University of Angers and the Région Pays de la Loire through the RFI LUMOMAT (grant to KM). Author contributions K.-H.E and N.A. designed and supervised the project. K.M. and N.A. performed the chemical synthesis. J.V. and C.W. performed the experiments. J.V., M.B., C.W., K.M., N.A. and K.-H.E. analyzed the data. J.V., K.-H.E and N.A. wrote the first draft. K.-H.E, M.B., C.W. and N.A. reviewed and edited the final draft. Competing interests The authors declare no competing interests. Data and materials availability: Raw data and analysis scripts for all presented figures are available via Zenodo at https://doi.org/ xxxx (ref. 40) Additional information Supplementary Information The online version contains supplementary material available at http://doi.org./10.1038/xxxx References Grünbaum, B. & Shephard, C. G. Tilings and Patterns , (Freeman, New York, 1986). Baake, M. & Grimm, U. Aperiodic Order. Vol 1. A Mathematical Invitation ; Cambridge University Press: Cambridge, 2013; Vol. 149. Penrose, R. Pentaplexity - A Class of Non-Periodic Tilings of the Plane. Eureka 39 , 16–22 (1978). Wang, H. Proving Theorems by Pattern Recognition — II. Bell System Technical Journal 40 , 1–41 (1961). Winfree, E., Liu, F., Wenzler, L. A. & Seeman, N. C. Design and self-assembly of two-dimensional DNA crystals. Nature 394 , 539–544 (1998). Smith, D., Myers, J. S., Kaplan, C. S. & Goodman-Strauss, C. 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F., Grenader, K., Parschau, M., Terfort, A. & Ernst, K.-H. Heterochiral to homochiral transition in pentahelicene 2D crystallization induced by second-layer nucleation. ACS Nano 11 , 865–871 (2017). Parschau, M. & Ernst, K.-H. Disappearing enantiomorphs: single handedness in racemate crystals. Angew. Chem. Int. Ed. 54 , 14422–14426 (2015). Berger, R. The Undecidability of the Domino Problem; Memoirs of the American Mathematical Society; American Mathematical Society, 1966; Vol. 66. https://doi.org/10.1090/memo/0066. Jeandel, R. & Rao, M. An Aperiodic Set of 11 Wang Tiles. Advances in Combinatorics, 2021, 1, 37 pp. https://doi.org/10.19086/aic.18614. Methods STM experiments and sample preparation The experiments have been carried out in an ultrahigh vacuum (UHV) system (base pressure < 5·10 -10 mbar) equipped with a variable-temperature scanning tunneling microscope (Aarhus SPM 150 Specs). The Ag(111) crystal surface was prepared by cycles of Ar + ion bombardment and subsequent annealing to 800 K. t[4]HB (see chemicals below) was evaporated at 600 K as racemate from an effusion cell onto the Ag(111) surface held at room temperature. If not stated otherwise, STM images were acquired in constant current mode after cooling the sample to 120 K with liquid nitrogen. Computational modelling Simulations were performed with AMBER force field molecular mechanics of the HyperChem 8.0 program. The surface/adsorbate systems were simulated by a four-layer Ag(111) slab with periodic boundary conditions. The Ag-atoms of the surface were kept fixed, but no constraint was applied to the molecules. Chemicals and instruments All reagents and chemicals from commercial sources were used without further purification. Solvents were dried and purified using standard techniques. Column chromatography was performed with analytical-grade solvents using Aldrich silica gel (technical grade, pore size 60 Å, 230-400 mesh particle size). Flexible plates ALUGRAM® Xtra SIL G UV254 from MACHEREY-NAGEL were used for TLC. Compounds were detected by UV irradiation (Bioblock Scientific) or staining with iodine, unless otherwise stated. NMR spectra were recorded with a Bruker AVANCE III 300 ( 1 H, 300 MHz and 13 C, 76 MHz) and Bruker AVANCE DRX 500 ( 1 H, 500 MHz and 13 C, 125 MHz). Chemical shifts are given in ppm relative to tetramethylsilane TMS and coupling constants J in Hz. Residual non-deuterated solvent was used as an internal standard. Matrix Assisted Laser Desorption/Ionization was performed on MALDI-TOF MS BIFLEX III Bruker Daltonics spectrometer using dithranol, DCTB or α-terthiophene as matrix. Synthetic Procedures Crystallographic details A single crystal of t[4]HB was mounted on a glass fibre loop using a viscous hydrocarbon oil to coat the crystal and then transferred directly to cold nitrogen stream for data collection. Data collection was performed at 150 K on an Agilent Supernova with CuKα (λ = 1.54184 Å). The structure was solved by direct methods and refined on F 2 by full matrix least-squares techniques with SHELX programs (SHELXS-2013 and SHELXL-2016-2018) 37,38 using the WinGX graphical user interface 39 . Crystallographic data for nine structure have been deposited with the Cambridge Crystallographic Data Centre, deposition number CCDC 2092008 for 2 . These data can be obtained free of charge from CCDC, 12 Union Road, Cambridge CB2 1EZ, UK (email: [email protected] or http://www.ccdc.cam.ac.uk). Single crystal X-ray structure of t[4]HB The t[4]HB crystallizes in the monoclinic system, centrosymmetric space group P 2 1 /c, with two independent helicene molecules in the unit cell and one and half independent crystallization benzene molecules (Supplementary Fig. 15). The conformation of the three [4]helicene units is M,M,P for both independent molecules (Supplementary Figs. 15 and 16), the opposite configuration P,P,M being generated through the inversion center. Intermolecular interactions of p-p stacking, suggested by Ph···Ph distances as short as 3.67 Å, sustain the supramolecular architecture in the solid state. 36. M. A. Brooks, L. T. Scott, 1,2-Shifts of Hydrogen Atoms in Aryl Radicals. J. Am. Chem. Soc. 121 , 5444–5449 (1999). 37. G. M. Sheldrick, Crystal structure refinement with SHELX. Acta Cryst. C 71 , 3–8 (2015). 38. G. M. Sheldrick, SHELXT-Integrated space-group and crystal-structure determination. Acta Cryst. A 71 , 3–8 (2015). 39. L. J. Farrugia, WinGX and ORTEP for Windows: An update. J. Appl. Cryst. 45 , 849–854 (2012). 40. Voigt et al. An aperiodic chiral tiling by topological molecular self-assembly. Zenodo https://doi.org/ xxxx References Grünbaum, B. & Shephard, C. G. Tilings and Patterns , (Freeman, New York, 1986). Baake, M. & Grimm, U. Aperiodic Order. Vol 1. A Mathematical Invitation ; Cambridge University Press: Cambridge, 2013; Vol. 149. Penrose, R. Pentaplexity - A Class of Non-Periodic Tilings of the Plane. Eureka 39 , 16–22 (1978). Wang, H. Proving Theorems by Pattern Recognition — II. Bell System Technical Journal 40 , 1–41 (1961). Winfree, E., Liu, F., Wenzler, L. A. & Seeman, N. C. Design and self-assembly of two-dimensional DNA crystals. Nature 394 , 539–544 (1998). Smith, D., Myers, J. S., Kaplan, C. S. & Goodman-Strauss, C. An aperiodic monotile. arXiv:2303.10798v2 Smith, D., Myers, J. S., Kaplan, C. S. & Goodman-Strauss, C. A chiral aperiodic monotile. arXiv:2305.17743v1. Schirmann, J., Franca, S., Flicker, F. & Grushin, A. G. Physical Properties of an Aperiodic Monotile with Graphene-like Features, Chirality, and Zero Modes. Phys. Rev. Lett. 132 , 086402 (2024). McManus, C. Right Hand, Left Hand, The Origins of Asymmetry in Brains, Bodies, Atoms and Cultures (Weidenfeld & Nicolson, London, 2002). Wagniere, G. H. On Chirality and the Universal Asymmetry, (Wiley, Weinheim, 2007). Ernst, K.-H., Wild, F. R. W. P., Blacque, O. & Berke, H. Alfred Werner’s Coordination Chemistry: New Insights from Old Samples. Angew. Chem. Int. Ed. 50 , 10780–10787 (2011). Ramberg , P. J. Chemical Structure, Spatial Arrangement. The Early History of Stereochemistry, 1874 – 1914 , (Ashgate, Burlington, 2003). Ernst, K.-H. On the validity of calling Wallach’s rule Wallach’s rule. Isr. J. Chem. 57 , 24–30 (2016). Sheldon, R. A. Chirotechnology , (Marcel Dekker, New York, 1993). Jacques, J., Collet, A. & Wilen, S. H. Enantiomers, Racemates, and Resolutions, (Krieger Pub. Co., Malabar, FL, 1994) Dutta, S. & Gellman, A. J. Enantiomer surface chemistry: conglomerate versus racemate formation on surfaces. 46 , 7787–7839 (2017). Pasteur, L. Recherches sur les relations qui peuvent exister entre la forme cristalline: la composition chimique et les sens de la polarisation rotatoire. Ann. Chim. Phys. 24 , 442−459 (1848). Shen, Y. & Chen, C.-F. Helicenes: Synthesis and Applications. Chem. Rev. 112 , 1463–1535 (2012). Yang, Y., Correa da Costa, R., Fuchter, M. J. & Campbell, A. J. Circularly polarized light detection by a chiral organic semiconductor transistor. Nat. Photon. 7 ,634–638 (2013). Safari, M. R., Matthes, F., Schneider, C. M., Ernst, K.-H. & Bürgler, D. Spin-Selective Electron Transport Through Single Chiral Molecules. Small 19 , 2308233/1–7 (2023). M. Kettner, M. Maslyuk, V. V., Nürenberg, D., Seibel, J., Gutierrez, R., Cuniberti, G., Ernst, K.-H. & Zacharias, H. Chirality-Dependent Electron Spin Filtering by Molecular Monolayers of Helicenes. J. Phys. Chem. Lett . 9 , 2025–2030 (2018). Pop, F., Zigon, N., & Avarvari, N. Main-Group-Based Electro- and Photoactive Chiral Materials. Chem. Rev. 119 , 8435–8478 (2019). Safari, M. R., Matthes, F., Caciuc, V., Atodiresei, N., Schneider, C. M., Ernst, K.-H. & Bürgler, D. Enantioselective adsorption on magnetic surfaces. Adv. Mater. 36 , 202308666/1–8 (2024). Ernst, K.-H. Stereochemical Recognition of Helicenes on Metal Surfaces. Acc. Chem. Res. 49 , 1182–1190 (2016). C. Wäckerlin, C., Li, J., Mairena, A., Martin, K., Avarvari, N. & Ernst, K.-H. Surface-Assisted Diastereoselective Ullmann Coupling of Bishelicenes. Chem. Commun. 52 , 12694–12697 (2016). Grimme, S. & Peyerimhoff, S. D. Theoretical Study of the Structures and Racemization Barriers of [n]Helicenes (n = 3–6, 8). Chem. Phys. 204 , 411–417 (1996). Wang, X., Miller, D. S., Bukusoglu, E., de Pablo, J. J. & Abbott, N. L. Topological defects in liquid crystals as templates for molecular self-assembly. Nature Mater . 15 , 106–112 (2016). Tkalec, U., Ravnik, M., Čopar, S., Žumer, S. & Muševič, I. Reconfigurable Knots and Links in Chiral Nematic Colloids, Science 333 , 62-65 (2011). Yazyev, O. V. & Louie, S. G. Topological Defects in Graphene: Dislocations and Grain Boundaries, Phys. Rev. B 81 , 195420 (2010). Blunt, M. O., Russell, J. C., del Carman Gimenez-Lopez, M., Garrahan, J. P., Lin, X., Schroder, M., Champness, N. R. & Beton, P. H. Random Tiling and Topological Defects in a Two-Dimensional Molecular Network. Science 322 , 1077–1081 (2008). Medeiros, P. V. C., Gueorguiev, G. K.& Stafström, S. Benzene, Coronene, and Circumcoronene Adsorbed on Gold, and a Gold Cluster Adsorbed on Graphene: Structural and Electronic Properties. Phys . Rev . B 85 , 205423-1–7 (2012). Mairena, A., Zoppi, L., Seibel, J., Tröster, A. F., Grenader, K., Parschau, M., Terfort, A. & Ernst, K.-H. Heterochiral to homochiral transition in pentahelicene 2D crystallization induced by second-layer nucleation. ACS Nano 11 , 865–871 (2017). Parschau, M. & Ernst, K.-H. Disappearing enantiomorphs: single handedness in racemate crystals. Angew. Chem. Int. Ed. 54 , 14422–14426 (2015). Berger, R. The Undecidability of the Domino Problem; Memoirs of the American Mathematical Society; American Mathematical Society, 1966; Vol. 66. https://doi.org/10.1090/memo/0066. Jeandel, R. & Rao, M. An Aperiodic Set of 11 Wang Tiles. Advances in Combinatorics, 2021, 1, 37 pp. https://doi.org/10.19086/aic.18614. Additional Declarations There is NO Competing Interest. Supplementary Files KM255checkcif.pdf An aperiodic chiral tiling by topological molecular self-assembly Coversuggestion.png Cover suggestion SupplementaryInformation.pdf An aperiodic chiral tiling by topological molecular self-assembly Cite Share Download PDF Status: Published Journal Publication published 02 Jan, 2025 Read the published version in Nature Communications → Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4577708","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Physical Sciences - Article","associatedPublications":[],"authors":[{"id":316534472,"identity":"fd013562-a86d-465d-b41f-a99fac533ea6","order_by":0,"name":"Jan Voigt","email":"","orcid":"","institution":"EMPA Duebendorf","correspondingAuthor":false,"prefix":"","firstName":"Jan","middleName":"","lastName":"Voigt","suffix":""},{"id":316534473,"identity":"6762cd14-1b2d-41b2-9d21-e9ce70ca142c","order_by":1,"name":"Milos Baljozovic","email":"","orcid":"","institution":"EMPA Duebendorf","correspondingAuthor":false,"prefix":"","firstName":"Milos","middleName":"","lastName":"Baljozovic","suffix":""},{"id":316534474,"identity":"ee5df084-5552-4e40-b0fc-1f7479ae69f5","order_by":2,"name":"Kevin Martin","email":"","orcid":"","institution":"University Angers","correspondingAuthor":false,"prefix":"","firstName":"Kevin","middleName":"","lastName":"Martin","suffix":""},{"id":316534475,"identity":"8395601d-a610-4729-ab96-82e02c106c7a","order_by":3,"name":"Christian Wäckerlin","email":"","orcid":"","institution":"EPFL","correspondingAuthor":false,"prefix":"","firstName":"Christian","middleName":"","lastName":"Wäckerlin","suffix":""},{"id":316534476,"identity":"d0f98698-3e55-4559-9ff9-299afa4b0589","order_by":4,"name":"Narcis Avarvari","email":"","orcid":"https://orcid.org/0000-0001-9970-4494","institution":"Université Angers","correspondingAuthor":false,"prefix":"","firstName":"Narcis","middleName":"","lastName":"Avarvari","suffix":""},{"id":316534471,"identity":"6edd1298-0ef5-42f9-9b48-276385d6d34c","order_by":5,"name":"Karl-Heinz Ernst","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABCklEQVRIiWNgGAWjYBACCQYGxgOMDQw8cBF+KJ2ARwsDihYJyQYitSAEDA4Q0CLZfvbBAcYdNjLm/AcYH1fuqKszPt6d9uAHg10eLi3SPOkGBxjPpPFYNhxgNjx75rCE2Zmz2w17GJKLcWmRY0hjOPy37TCPwcEGNsnGtgMSZjdyt0nwMBxIbMClhf8Z0C9t/3kMDjOw/2xsq5Mwnv92m+QfPFqkJdJAWg7wGBxjYGNsbGOWMJDg3SaNzxbJGWBbknkMzjA2Ax12WHLGmdztxjIGyTi1SJxPY3zA2GZnb3D+8MGPQIfx87ef3fbwTYUdTi1IABE7bAwMBoTVowA2EtWPglEwCkbBMAcA0ERW7Ih/IvUAAAAASUVORK5CYII=","orcid":"https://orcid.org/0000-0002-2077-4922","institution":"EMPA Duebendorf","correspondingAuthor":true,"prefix":"","firstName":"Karl-Heinz","middleName":"","lastName":"Ernst","suffix":""}],"badges":[],"createdAt":"2024-06-13 17:20:18","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4577708/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4577708/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1038/s41467-024-55405-5","type":"published","date":"2025-01-02T05:00:00+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":59872925,"identity":"5b92bf32-4bec-40fe-9702-0d5ce743343e","added_by":"auto","created_at":"2024-07-08 17:16:17","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":1805269,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cstrong\u003eSelf-assembly in two-dimensions containing topological defects. a\u003c/strong\u003e, Structure models of both enantiomers of t[4]HB. In \u003cem\u003e(M)-\u003c/em\u003et[4]HB the three arms spiral away from the observer counterclockwise, in \u003cem\u003e(P)-\u003c/em\u003et[4]HB clockwise. \u003cstrong\u003eb\u003c/strong\u003e, STM image of monolayer of t[4]HB on Ag(111) showing an arrangement of supramolecular triangles and spiral nodes (50 nm ´ 50 nm). \u003cstrong\u003ec\u003c/strong\u003e, Classification of observed nodes in both mirror worlds (all images are 4.6 nm ´ 4.6 nm). Besides a zero-node with a void in the center, 2-armed and 3-armed spiral arrangements exist, which show after one turn an offset of 2 or 3 molecular lattice vector units (yellow arrows), respectively. r-nodes occur in domains with \u003cem\u003e(P)-\u003c/em\u003et[4]HB as majority, l nodes have \u003cem\u003e(M)-\u003c/em\u003et[4]HB as majority. \u003cstrong\u003ed\u003c/strong\u003e, STM image (48.5 nm ´48.5 nm) of a mirror domain containing predominantly \u003cem\u003e(M)-\u003c/em\u003et[4]HB. Molecules marked with yellow dots are rotated clockwise by 60° with respect to molecules marked with red dots. Molecules without color-mark are \u003cem\u003e(P)-\u003c/em\u003et[4]HB enantiomers. Different triangle sizes are indicated with numbers for three examples. The inset (4.7 nm ´ 4.7 nm) shows both enantiomers in a single domain with submolecular resolution. The tips of helical arms are further above the surface. \u003cstrong\u003ee\u003c/strong\u003e,\u003cstrong\u003e \u003c/strong\u003eSTM image (50 nm ´ 50 nm) of a mirror domain containing predominantly \u003cem\u003e(P)-\u003c/em\u003et[4]HB. The arrangements of the molecules in the different supramolecular triangles and at their boundary between both triangles are shown on the right (all 5 nm ´ 5 nm). The inset shows a model of a single \u003cem\u003e(P)-\u003c/em\u003eadsorbate. \u003cstrong\u003ef\u003c/strong\u003e, The structure model of the boundary between hexagonally ordered triangles of \u003cem\u003e(P)-\u003c/em\u003eenantiomers shows interdigitation. The periodicity of the molecular lattice with respect to the underlying Ag(111) lattice is given in matrix notation. The molecules of adjacent triangles are placed on different adsorption sites, either on top of hcp or fcc threefold hollow sites.\u003c/p\u003e","description":"","filename":"1.png","url":"https://assets-eu.researchsquare.com/files/rs-4577708/v1/8877f09467f317552ad1f0b4.png"},{"id":59873464,"identity":"a103244c-a34c-4345-b00b-654f60053b4b","added_by":"auto","created_at":"2024-07-08 17:24:18","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":914423,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cstrong\u003eAbstraction of molecular self-assembly into triangular offset-tiling. a\u003c/strong\u003e, Color code for both enantiomers of t[4]HB and their relative azimuthal orientation. \u003cstrong\u003eb\u003c/strong\u003e, Presentation of a self-assembled pattern of t[4]HB \u003cem\u003e(P)-\u003c/em\u003eenantiomers as triangles. The color stands for the azimuthal orientation as defined in \u003cstrong\u003ea \u003c/strong\u003ewhile the number stands for the relative size N of the triangle. \u003cstrong\u003ec\u003c/strong\u003e, Modes of interdigitation between triangles at their common boundary. The handedness of the majority enantiomer defines the direction of the interdigitation offset of triangles (see ellipses). An additional offset by one molecular unit vector is also observed for equally sized triangles (middle) and for N±1 pairs (bottom). \u003cstrong\u003ed\u003c/strong\u003e, Superposition of STM images of the different node types in both mirror domains with the abstraction of triangles. The node type is defined by the number of offsets as indicated by arrows. \u003cstrong\u003ee\u003c/strong\u003e, Example of topological frustration. An area initially built by 2-nodes (N=7±1) can only become completely filled if a 3-node is considered. \u003cstrong\u003ef\u003c/strong\u003e, Set of tiles mimicking the observed self-assembly (top) and presentation for the three principle node types based on the tile set (bottom). \u003cstrong\u003eg\u003c/strong\u003e, Different set of tiles using the N±1 triangle size topology and example of tiling with this tile set. A larger tiling example is presented in Supplementary Fig. 9.\u003c/p\u003e","description":"","filename":"2.png","url":"https://assets-eu.researchsquare.com/files/rs-4577708/v1/4f40a30cf6cc03dfeba39ee2.png"},{"id":59872923,"identity":"ce872302-6565-44e1-a923-acaf87a5facd","added_by":"auto","created_at":"2024-07-08 17:16:17","extension":"png","order_by":3,"title":"Figure 3","display":"","copyAsset":false,"role":"figure","size":1050668,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cstrong\u003eEnergy versus entropy. a\u003c/strong\u003e, STM image (56 nm ´ 56 nm) of a hexagonally ordered domain without nodes and triangle boundaries. Green dots mark \u003cem\u003e(P)\u003c/em\u003e-enantiomers, red dots \u003cem\u003e(M)\u003c/em\u003e-enantiomers. \u003cstrong\u003eb\u003c/strong\u003e, Dependence of enantiomeric excess with triangle size. \u003cstrong\u003ec\u003c/strong\u003e, Voids of zero nodes can be filled with impurities (red arrows). The molecular model shows a HPB molecule occupying a zero node. \u003cstrong\u003ed\u003c/strong\u003e, STM images of t[4]HB monolayers doped with different amounts of HPB. A regular lattice of HPB, decorated with t[4]HB is established. The STM parameters were chosen such that the t[4]HB molecules are imaged best.\u003c/p\u003e","description":"","filename":"3.png","url":"https://assets-eu.researchsquare.com/files/rs-4577708/v1/eb98a5d5b32c604ac11475dc.png"},{"id":72949909,"identity":"f868c0bf-4ae1-40e4-a343-c6fd8005de27","added_by":"auto","created_at":"2025-01-04 08:14:59","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":4975938,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4577708/v1/2960d9e4-e9d2-47d6-9496-793f4f9f002e.pdf"},{"id":59872926,"identity":"497ef171-481b-4f5d-8810-1bea7e59d162","added_by":"auto","created_at":"2024-07-08 17:16:18","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":193361,"visible":true,"origin":"","legend":"An aperiodic chiral tiling by topological molecular self-assembly","description":"","filename":"KM255checkcif.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4577708/v1/7ea461d138eb7e752cf50f0d.pdf"},{"id":59872922,"identity":"5884e021-f362-4d5a-8835-9d50b6227c86","added_by":"auto","created_at":"2024-07-08 17:16:17","extension":"png","order_by":2,"title":"","display":"","copyAsset":false,"role":"supplement","size":2294295,"visible":true,"origin":"","legend":"Cover suggestion","description":"","filename":"Coversuggestion.png","url":"https://assets-eu.researchsquare.com/files/rs-4577708/v1/cea761509266201b2278259f.png"},{"id":59872928,"identity":"88e1d464-1ce9-446f-89de-886b9f1a37be","added_by":"auto","created_at":"2024-07-08 17:16:18","extension":"pdf","order_by":3,"title":"","display":"","copyAsset":false,"role":"supplement","size":13337488,"visible":true,"origin":"","legend":"An aperiodic chiral tiling by topological molecular self-assembly","description":"","filename":"SupplementaryInformation.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4577708/v1/329825e6c211de1a2cc29db8.pdf"}],"financialInterests":"There is \u003cb\u003eNO\u003c/b\u003e Competing Interest.","formattedTitle":"An aperiodic chiral tiling by topological molecular self-assembly","fulltext":[{"header":"One-Sentence Summary","content":"\u003cp\u003eAn aperiodic triangular tiling, including spiral motifs is found by two-dimensional topological self-assembly of chiral molecules.\u003c/p\u003e"},{"header":"Main Text","content":"\u003cp\u003eDating back to ancient times, the art of tiling has been an integral part of human society, with well-known instances including the mosaics of Roman and Arabic cultures\u003ca class=\"FNLink\" href=\"#Fn1\" id=\"#FNLinkFn1\"\u003e\u003c/a\u003e. Over the past century, aperiodic sequences of their building blocks have been identified in nucleic acids, such as DNA, for example, and proteins. However, aperiodic two-dimensional tilings have primarily played a significant role in mathematics\u003ca class=\"FNLink\" href=\"#Fn2\" id=\"#FNLinkFn2\"\u003e\u003c/a\u003e. A pattern is labeled aperiodic when it lacks a description through unchanging translational vectors. Illustrative two-dimensional examples include quasicrystals and Penrose tiling\u003ca class=\"FNLink\" href=\"#Fn3\" id=\"#FNLinkFn3\"\u003e\u003c/a\u003e. The emergence of Wang-Tiles, driven by challenges in computer science, has proved influential\u003ca class=\"FNLink\" href=\"#Fn4\" id=\"#FNLinkFn4\"\u003e\u003c/a\u003e, even finding application in the design of human-made DNA assemblies\u003ca class=\"FNLink\" href=\"#Fn5\" id=\"#FNLinkFn5\"\u003e\u003c/a\u003e. Geometers are in constant pursuit of novel tessellation patterns, with recent advancements yielding an aperiodic tiling originating from a single polygon\u003ca class=\"FNLink\" href=\"#Fn6\" id=\"#FNLinkFn6\"\u003e\u003c/a\u003e, which has to break mirror symmetry\u003ca class=\"FNLink\" href=\"#Fn7\" id=\"#FNLinkFn7\"\u003e\u003c/a\u003e. Recently, a theoretical study predicted exceptional physical properties for such aperiodic chiral 2D material\u003ca class=\"FNLink\" href=\"#Fn8\" id=\"#FNLinkFn8\"\u003e\u003c/a\u003e. In this study, we demonstrate that the two-dimensional (2D) molecular self-assembly of a chiral aromatic hydrocarbon on a silver surface can lead to a chiral aperiodic tiling without the need for deliberate human intervention. Each single molecule serves as a symmetric chiral monotile, allowing for an aperiodic tiling of the plane at the supramolecular level.\u003c/p\u003e \u003cp\u003eChirality, a concept ubiquitous across natural sciences including chemistry, physics, biology, and physiology\u003ca class=\"FNLink\" href=\"#Fn9\" id=\"#FNLinkFn9\"\u003e\u003c/a\u003e\u003csup\u003e,\u003c/sup\u003e\u003ca class=\"FNLink\" href=\"#Fn10\" id=\"#FNLinkFn10\"\u003e\u003c/a\u003e, holds immense significance. The crystallization of chiral molecules has played a pivotal role in comprehending molecular structure\u003ca class=\"FNLink\" href=\"#Fn11\" id=\"#FNLinkFn11\"\u003e\u003c/a\u003e\u003csup\u003e-\u003c/sup\u003e\u003ca class=\"FNLink\" href=\"#Fn12\" id=\"#FNLinkFn12\"\u003e\u003c/a\u003e and remains a cornerstone method for achieving enantiopure pharmaceuticals and fragrances\u003ca class=\"FNLink\" href=\"#Fn13\" id=\"#FNLinkFn13\"\u003e\u003c/a\u003e. The aggregation of a balanced mixture of left- and right-handed molecules can result in enantiopure but opposite-handed crystal conglomerates or crystals in which both enantiomers populate the crystal unit cell (racemate crystal). In rare instances, both enantiomers are randomly distributed within the crystal lattice, forming a solid solution\u003ca class=\"FNLink\" href=\"#Fn14\" id=\"#FNLinkFn14\"\u003e\u003c/a\u003e\u003csup\u003e,\u003c/sup\u003e\u003ca class=\"FNLink\" href=\"#Fn15\" id=\"#FNLinkFn15\"\u003e\u003c/a\u003e. Despite being observed for more than 175 years\u003ca class=\"FNLink\" href=\"#Fn16\" id=\"#FNLinkFn16\"\u003e\u003c/a\u003e, predicting the outcome of chiral crystallization remains elusive. To gain insight into complex material phenomena, model systems with high control and reduced complexity are invaluable. Consequently, the exploration of chiral molecule aggregation on surfaces using scanning tunneling microscopy (STM) has proven instrumental in enhancing our understanding of chiral molecular recognition\u003csup\u003e15\u003c/sup\u003e.\u003c/p\u003e\n\u003ch3\u003eTopological self-assembly\u003c/h3\u003e\n\u003cp\u003eAn important class of chiral aromatic chemical compounds are helicenes\u003ca class=\"FNLink\" href=\"#Fn17\" id=\"#FNLinkFn17\"\u003e\u003c/a\u003e. The helical arrangement of electronic states resulting from their ortho-annulated aromatic rings renders them highly promising for applications like chiral photonics and chirality-based spintronics\u003ca class=\"FNLink\" href=\"#Fn18\" id=\"#FNLinkFn18\"\u003e\u003c/a\u003e\u003csup\u003e-\u003c/sup\u003e\u003ca class=\"FNLink\" href=\"#Fn19\" id=\"#FNLinkFn19\"\u003e\u003c/a\u003e. In contrast to the rigid helicenes employed in previous 2D aggregation studies\u003ca class=\"FNLink\" href=\"#Fn20\" id=\"#FNLinkFn20\"\u003e\u003c/a\u003e, tristetrahelicenebenzene (t[4]HB; 1,3,5-tris(benzo[c]phenanthren-2-yl)benzene, Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003ea) boasts greater flexibility. Its structure comprises three tetrahelicene arms connected \u003cem\u003evia\u003c/em\u003e single bonds to a central benzene unit (see Methods for the preparation and characterization). The conformers with the lowest energy all have three arms with identical handedness. The helicity can be either left-handed, denoted as \u003cem\u003eM\u003c/em\u003e (minus) with the arm spiraling counterclockwise from tip to center away from the observer, or right-handed, denoted as \u003cem\u003eP\u003c/em\u003e (plus) with a clockwise spiral. The molecule's flexibility stems from the low barriers of helix inversion in the helical arm units (3.5\u0026ndash;4.4 kcal/mol)\u003ca class=\"FNLink\" href=\"#Fn21\" id=\"#FNLinkFn21\"\u003e\u003c/a\u003e\u003csup\u003e,\u003c/sup\u003e\u003ca class=\"FNLink\" href=\"#Fn22\" id=\"#FNLinkFn22\"\u003e\u003c/a\u003e and the potential rotation of arms around the three carbon-carbon single bonds.\u003c/p\u003e \u003cp\u003eFigure\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003eb shows an STM image recorded from a densely packed monolayer of t[4]HB on Ag(111) at 120 K subsequent to deposition under ultra-high vacuum conditions at room temperature (see Materials section). The area shown in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003eb contains predominantly \u003cem\u003e(M)\u003c/em\u003e-t[4]HB. The distribution of the minority \u003cem\u003e(P)-\u003c/em\u003eenantiomer in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003eb is shown in Supplementary Fig.\u0026nbsp;1. A corresponding STM image of a mirror domain with predominantly \u003cem\u003e(P)\u003c/em\u003e-t[4]HB molecules is shown in Supplementary Fig.\u0026nbsp;2. Detailed structural models of the molecular arrangement around nodes are illustrated in Supplementary Fig.\u0026nbsp;3.\u003c/p\u003e \u003cp\u003eNotably, the 2D self-assembly here shows different topological defects (termed 'nodes' here). Supramolecular spirals with two and three arms originate from two different defects (2- and 3-nodes, respectively). There exist zero-nodes that do not serve as spiral origins but have a void at their center. The 3-nodes also show a void while the 2-nodes, being overcrowded, cause the arms of connecting molecules to bend partly away from the surface. The topology of different nodes can be indexed by a procedure determining the displacement in molecular unit vectors of the supramolecular spirals (Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003ec). For the rules of the procedure encircling the structure along the white line see Supplementary Fig.\u0026nbsp;4. Specifically, 2-node and 3-node structures prompt displacements of two and three molecular unit vectors, respectively (Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003ec, indicated by yellow arrows). Given that the monolayer also breaks mirror symmetry, these 0-, 2- and 3-nodes exist globally in two enantiomorphous forms (Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003ec).\u003c/p\u003e \u003cp\u003eBut what makes topological self-assembly different from regular self-assembly? In topological self-assembly additional constraints are imposed onto the assembly process. For example, topological defects (e.g. points, lines, walls) or knot-like structures were observed in liquid crystals due to the presence of chiral dopants or special boundary conditions that do not allow for continuous strain in the entire arrangement\u003ca class=\"FNLink\" href=\"#Fn23\" id=\"#FNLinkFn23\"\u003e\u003c/a\u003e\u003csup\u003e,\u003c/sup\u003e\u003ca class=\"FNLink\" href=\"#Fn24\" id=\"#FNLinkFn24\"\u003e\u003c/a\u003e. Differently indexed topological defects are also known for graphene\u003ca class=\"FNLink\" href=\"#Fn25\" id=\"#FNLinkFn25\"\u003e\u003c/a\u003e. For the 2D self-assembly here, it is the combination of molecular shape and chirality that impose constraint at the supramolecular level. That is, the handedness and the azimuthal orientation of the t[4]HB molecules cause inevitably formation of topological defects. We will return to this aspect further below.\u003c/p\u003e \u003cp\u003eSTM images single molecules as triskels (inset of Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003ed) where the tips of the three arms appear brighter. As a result, the helical arm tips are positioned slightly higher above the surface, while the remaining parts of the molecule maintain a parallel orientation to the surface (inset Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003ee). This conformation ensures optimal van der Waals contact with the surface, as only the three terminal benzo groups at the tips are elevated. Furthermore, all three arms possess the same helical sense, simplifying the determination of the molecule's handedness, even without high-resolution STM height data. Contrastingly, deposition onto the surface at low temperatures shows disordered layers and many molecules in meta-stable Y-configurations (Supplementary Fig.\u0026nbsp;5). Upon thermal activation, however, all molecules are transferred into their state of defined homochirality, which illustrates the low barrier to switch handedness and rotation of the arms around the single C\u0026ndash;C bond.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eIn addition to nodes, the molecular monolayer exhibits triangles characterized by hexagonally arranged molecules, as depicted in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003ed and Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003ee. Within a triangle, the molecules undergo a 60\u0026deg; rotation compared to molecules in adjacent triangles. At the boundary between triangles, molecules are packed slightly denser due to the relative 60\u0026deg; rotation, which permits a closer interdigitation of the helical arms. A structural model of a boundary between triangles primarily containing \u003cem\u003e(P)-\u003c/em\u003eenantiomers is presented in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003ef (refer to Supplementary Fig.\u0026nbsp;3 for the corresponding model of a boundary between triangles containing \u003cem\u003e(M)-\u003c/em\u003eenantiomers). Molecules in neighboring triangles are also situated above distinct adsorption sites. For instance, if molecules in one triangle are positioned with their central benzene ring over a hexagonally closed-packed (hcp) site on the Ag(111) surface, in adjacent triangles, they will be situated above face-centered cubic (fcc) threefold hollow sites. Notably, only the relative arrangement and not the exact adsorbate site is ascertainable here. However, due to the adsorption site displacement between triangles, the unit cell of the boundary (and thus the entire molecular lattice) becomes non-commensurate with the underlying Ag(111) lattice.\u003c/p\u003e \u003cp\u003eThe self-assembly process of t[4]HB on Ag(111) showcases an intriguing feature: the triangles can manifest in various sizes within a single domain but encompassing only triangles of N\u0026thinsp;\u0026plusmn;\u0026thinsp;1. Here, N represents the number of molecular unit vectors forming the triangular boundary. In the structure depicted in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003ed, N\u0026thinsp;=\u0026thinsp;5 predominates, while N\u0026thinsp;=\u0026thinsp;4 and N\u0026thinsp;=\u0026thinsp;6 are less common. Similarly, the example from the 'mirror world' in Fig.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003ee exhibits a predominant N\u0026thinsp;=\u0026thinsp;11, along with minor occurrences of N\u0026thinsp;=\u0026thinsp;10 and N\u0026thinsp;=\u0026thinsp;12. Overall, domains showcasing N values ranging from 2 to 15 are also observed (Supplementary Fig.\u0026nbsp;6), either after fresh sample preparation or when the STM tip is repositioned across the sample at a considerable distance of a few millimeters. It is important to emphasize that these different results have been obtained under identical preparation conditions.\u003c/p\u003e\n\u003ch3\u003eChirality transfer\u003c/h3\u003e\n\u003cp\u003eFor the ensuing discussion on tiling and the connection between supramolecular nodes and triangular subdomains, it proves beneficial to map colored triangles onto the molecular assembly (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003e). This abstraction effectively highlights the correlation between molecular handedness and node handedness, as well as the association between the predominant triangle size N and the adjacent N\u0026ndash;1 and N\u0026thinsp;+\u0026thinsp;1 size triangles. Initially, a color code designates the enantiomer and its azimuthal orientation (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003ea), which is then applied to the triangular subdomain as colored triangles, each with the corresponding N value (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003eb). Given the inherent 60\u0026deg; rotation relationship between adjacent triangles and the separation of mirror domains, the color code can be omitted without sacrificing generality. Additionally, a simplified molecular stick model accentuates the interlocking helicene arms at the boundary (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003ec, top). As the molecular handedness dictates the direction of displacement, triangles can only shift either to the left or the right. Consequently, the transmission of chirality from the individual molecule to the mesoscopic scale is facilitated by the prescribed displacement at triangle boundaries.\u003c/p\u003e \u003cp\u003eThree distinct categories of triangle interdigitation emerge. Equally sized triangles necessitate an inevitable offset contingent on the enantiomer's handedness (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003ec, top). Furthermore, equally sized triangles may exhibit an additional offset of one molecular unit vector (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003ec, middle), leading to a total offset of 2-unit vectors at that boundary. Lastly, combining triangles of different sizes, N and N\u0026thinsp;\u0026plusmn;\u0026thinsp;1, consistently results in an offset of one molecular unit vector (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003ec, bottom). This framework enables a total of 10 different triangular pairing configurations (see Supplementary Fig.\u0026nbsp;7). Nodes with zero, 2, and 3 offsets will respectively feature total offsets of 0, 2, and 3 (Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003ed). The topology established by these offsets translates into the spiral pattern when constructing nodes using N, N\u0026thinsp;\u0026plusmn;\u0026thinsp;1 triangles. Consequently, the handedness of supramolecular nodes emerges from a chiral displacement within the triangular context. It is important to note that deviations from these displacement rules have not been observed. Only 15 of many possible combinations of triangles within the N, N\u0026thinsp;\u0026plusmn;\u0026thinsp;1 scheme have been verified through STM observations (Supplementary Fig.\u0026nbsp;8). However, we could not identify any tiling rules that would forbid involvement of unobserved combinations.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eIn order to maintain 2D close packing here, topological strategies are at work. That is, the system adapts by either varying the triangle size by one molecular vector unit (N\u0026thinsp;\u0026plusmn;\u0026thinsp;1) or the node type. An illustrative example is presented in Fig.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003ee. A 7\u0026thinsp;\u0026plusmn;\u0026thinsp;1 triangle arrangement containing exclusively 2-nodes does not lead to close-packing. Subsequently, the central area mandates the inclusion of a 3-node structure to effectively cover the entire region.\u003c/p\u003e \u003cp\u003eTwo-dimensional molecular self-assembly as model system for tiling has the problem that boundaries between molecules are not well defined\u003ca class=\"FNLink\" href=\"#Fn26\" id=\"#FNLinkFn26\"\u003e\u003c/a\u003e. Here, even voids are part of the self-assembly, but tiling requires complete covering the plane. However, there are ways to include these features of self-assembly as tiles, of which two examples are presented in Figs.\u0026nbsp;\u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003ef and \u003cspan refid=\"Fig2\" class=\"InternalRef\"\u003e2\u003c/span\u003eg.\u003c/p\u003e\n\u003ch3\u003eEntropy maximization\u003c/h3\u003e\n\u003cp\u003eAs no polar groups are present in the molecules, the lateral intermolecular interaction is dominated by van der Waals forces. Hence, the largest energy term involved in this self-assembly is the adsorption energy, i.e., the interaction energy between a single molecule and the silver surface. Using previous DFT calculations for PAHs on gold as estimate, the binding might be as strong as 3.5 eV\u003ca class=\"FNLink\" href=\"#Fn27\" id=\"#FNLinkFn27\"\u003e\u003c/a\u003e. Consequently, the molecular layer strives to be as densely packed as possible, and a good presentation of the relative energy involved is the lateral density (or local coverage). That is, the number of silver atoms located below a molecule should become as small as possible. Nodes with voids in the center, such as 0- and 3-nodes are therefore energetically less favorable. On the other hand, a large number of nodes also increases the relative contribution of slightly denser boundaries between triangular domains. Therefore, from a certain triangle size on the disadvantage of uncovered node centers becomes compensated.\u003c/p\u003e \u003cp\u003eBasically, at N\u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\text{\u0026ge;}\\)\u003c/span\u003e\u003c/span\u003e4, every molecule covers about 43 silver atoms, which is exactly the value for the pure hexagonal arrangement within a triangle. Consequently, the energy landscape for N\u003cspan class=\"InlineEquation\"\u003e\u003cspan class=\"mathinline\"\u003e\\(\\text{\u0026ge;}\\)\u003c/span\u003e\u003c/span\u003e4 is very flat with respect to different triangular assemblies, which suggests that the 2D self-assembly must be dominated by maximum-entropy arrangements\u003csup\u003e30\u003c/sup\u003e. A mainly entropy-driven self-assembly explains therefore the observation of the large variety of different structures with respect to triangle sizes. The chiral self-assembly of t[4]HB exhibits another distinctive character that increases entropy: The enantiomeric composition within single mirror domains is neither racemic nor homochiral. Instead, a solid solution predominantly composed of either the \u003cem\u003e(M)-\u003c/em\u003e or the \u003cem\u003e(P)-\u003c/em\u003eenantiomer (Figs.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003ed,e respectively) is observed. The enantiomeric excess (ee [%]), calculated using the formula: ee = ([M] \u0026ndash; [P]) / ([M] + [P]) \u0026times; 100 for the area displayed in Figs.\u0026nbsp;\u003cspan refid=\"Fig1\" class=\"InternalRef\"\u003e1\u003c/span\u003eb and Supplementary Fig.\u0026nbsp;1, is determined to be 80%. Molecular mechanics calculations reveal that the incorporation of the 'incorrect' enantiomer is only disfavored by a mere 2 kcal/mol (Supplementary Fig.\u0026nbsp;10). Hence, random incorporation of a minority enantiomer does not impose a notable energy penalty. However, it does contribute to the entropy of the aggregation process by S\u0026thinsp;=\u0026thinsp;RT ln2 for a single molecule, while for an ensemble of molecules the entire number of possible arrangements has to be taken into account (Supplementary Eq.\u0026nbsp;1).\u003c/p\u003e \u003cp\u003eIn some cases, the triangle size N exceeds the scan range of our STM and only a single domain of hexagonally ordered molecules without any nodes and triangle-boundaries is observed (Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003ea). Interestingly, such purely hexagonally ordered domain contains typically more minority enantiomers (Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003ea, ee\u0026thinsp;=\u0026thinsp;64%) than structures with nodes and boundaries. Such trend is confirmed by decreasing enantiomeric excess with increasing triangle size (\u003cem\u003ei.e.\u003c/em\u003e, less numbers of nodes per unit area, see Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003eb). This means that a lower entropy due to lower numbers of nodes becomes compensated by larger content of minority enantiomers (\u003cem\u003ei.e.\u003c/em\u003e, lower enantiomeric excess). At initial deposition ee is 0 but becomes automatically adjusted to the triangle size during growth.\u003c/p\u003e \u003cp\u003eA frozen lattice inherently lacks the capacity to augment mixing or configurational entropy. Consequently, the establishment of molecular surface dynamics becomes imperative during its formation. Deposition at either low coverage or low temperature fails to yield ordered aggregates. Under low coverage conditions, molecules maintain a considerable distance from one another within a temperature range spanning from room temperature down to 10 K (Supplementary Fig.\u0026nbsp;11). This observation signifies the presence of minute attractive interactions, suggesting that 2D self-assembly is primarily governed by repulsion at monolayer saturation coverage. The maximization of entropy and topological selection mandates dynamic processes within the lattice during growth, such as enantiomer conversion and lateral rearrangement at a close-packed molecular layer. STM images acquired at room temperature for t[4]HB on Ag(111) indeed exhibit both long-range order and significant dynamics (Supplementary Fig.\u0026nbsp;12a). Electron diffraction further confirms the presence of order even at temperatures up to 80\u0026deg;C (Supplementary Figs.\u0026nbsp;12b,c). Under these conditions, one should anticipate dynamic processes, such as site exchange and lattice healing, potentially involving second-layer sites. Notably, for helicenes, existing reports have detailed chiral crystallization dynamics occurring around full monolayer coverages\u003ca class=\"FNLink\" href=\"#Fn28\" id=\"#FNLinkFn28\"\u003e\u003c/a\u003e\u003csup\u003e,\u003c/sup\u003e\u003ca class=\"FNLink\" href=\"#Fn29\" id=\"#FNLinkFn29\"\u003e\u003c/a\u003e.\u003c/p\u003e \u003cp\u003e \u003c/p\u003e \u003cp\u003eThe energy penalty of the zero node can be avoided by finding a suitable place holder for occupation of its large void. Hexaphenylbenzene (HPB), for example fits nicely into the 0-node-void, hence changing the energy landscape and thus breaking the entropy-driven self-assembly (Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003ec). Doping the t[4]HB monolayer with HPB leads to a regular lattice structure. Depending on the amount of dopant the HPB molecules are surrounded by different numbers of rings of t[4]HB molecules (Fig.\u0026nbsp;\u003cspan refid=\"Fig3\" class=\"InternalRef\"\u003e3\u003c/span\u003ed). The molecules within the same ring exhibit a 60\u0026deg; rotation relative to each other, forming the densest packing. This self-assembly is primarily influenced by the maximum gain in adsorption energy achieved through dense packing. Below a dopant fraction of 3% HPB, the self-assembly process continues to be driven by entropy.\u003c/p\u003e\n\u003ch3\u003eAperiodicity\u003c/h3\u003e\n\u003cp\u003eThe Wang aperiodic tiling game employs sets of congruent square tiles, each possessing four numbered (or colored) edges\u003csup\u003e4\u003c/sup\u003e. Wang tiles were introduced as a tool for studying decidability in mathematical logic but are also important in theoretical computer science. The question of whether tiling exclusively by translation with matching edge numbers or colors \u0026ndash; commonly referred to as the domino problem \u0026ndash; possesses a periodic solution, has been proven to be undecidable\u003ca class=\"FNLink\" href=\"#Fn30\" id=\"#FNLinkFn30\"\u003e\u003c/a\u003e. However, recent research has demonstrated that a set of 11 Wang tiles is adequate for aperiodically tiling the plane\u003ca class=\"FNLink\" href=\"#Fn31\" id=\"#FNLinkFn31\"\u003e\u003c/a\u003e. A mathematical proof confirming that subsets of the triangular tiles presented here inherently possess strictly aperiodic solutions far surpasses the scope of this report. At the very least, our STM observations lend support to this conjecture, as only patterns lacking translational invariance have been observed. One of the fundamental rules of Wang tiling is the prohibition of tile reflection, which essentially transmits into the single handedness requirement of the monotile problem\u003csup\u003e7\u003c/sup\u003e. This restriction is maintained here, as only a minority of opposite-handed molecules occur in all observed structures.\u003c/p\u003e"},{"header":"Conclusions","content":"\u003cp\u003eUntil now, aperiodic tilings have primarily been the product of human ingenuity. However, our example demonstrates that two-dimensional molecular self-assembly on nearly perfect surfaces can yield novel aperiodic patterns. The crucial factors in this process are chirality, molecular flexibility and an aggregation scheme driven by the goal of maximizing entropy under topological constraint.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cp\u003e\u003cstrong\u003eAcknowledgments:\u0026nbsp;\u003c/strong\u003eSupport by the Swiss National Science Foundation is gratefully acknowledged.Financial support in France has been provided by the CNRS, the University of Angers and the Région Pays de la Loire through the RFI LUMOMAT (grant to KM).\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor contributions\u003c/strong\u003e K.-H.E and N.A. designed and supervised the project. K.M. and N.A. performed the chemical synthesis. J.V. and C.W. performed the experiments. J.V., M.B., C.W., K.M., N.A. and K.-H.E. analyzed the data. J.V., K.-H.E and N.A. wrote the first draft.\u0026nbsp;K.-H.E, M.B., C.W. and N.A. reviewed and edited the final draft.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eCompeting interests\u003c/strong\u003eThe authors declare no competing interests.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eData and materials availability:\u003c/strong\u003e Raw data and analysis scripts for all presented figures are available via Zenodo at https://doi.org/ xxxx (ref. 40)\u003c/p\u003e\n\u003cp\u003eAdditional information\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eSupplementary Information\u003c/strong\u003e The online version contains supplementary material available at http://doi.org./10.1038/xxxx\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n\u003cli\u003eGr\u0026uuml;nbaum, B. \u0026amp; Shephard, C. G. \u003cem\u003eTilings and Patterns\u003c/em\u003e, (Freeman, New York, 1986). \u003c/li\u003e\n\u003cli\u003eBaake, M. \u0026amp; Grimm, U. \u003cem\u003eAperiodic Order. 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Advances in Combinatorics, 2021, 1, 37 pp. https://doi.org/10.19086/aic.18614.\u003c/li\u003e\n\u003c/ol\u003e"},{"header":"Methods","content":"\u003cp\u003e\u003cstrong\u003eSTM experiments and sample preparation\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThe experiments have been carried out in an ultrahigh vacuum (UHV) system (base pressure \u0026lt; 5\u0026middot;10\u003csup\u003e-10\u003c/sup\u003e mbar) equipped with a variable-temperature scanning tunneling microscope (Aarhus SPM 150 Specs). The Ag(111) crystal surface was prepared by cycles of Ar\u003csup\u003e+\u003c/sup\u003e ion bombardment and subsequent annealing to 800 K. t[4]HB (see chemicals below) was evaporated at 600 K as racemate from an effusion cell onto the Ag(111) surface held at room temperature. If not stated otherwise, STM images were acquired in constant current mode after cooling the sample to 120 K with liquid nitrogen.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eComputational modelling\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eSimulations were performed with AMBER force field molecular mechanics of the HyperChem 8.0 program. The surface/adsorbate systems were simulated by a four-layer Ag(111) slab with periodic boundary conditions. The Ag-atoms of the surface were kept fixed, but no constraint was applied to the molecules.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eChemicals and instruments\u0026nbsp;\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eAll reagents and chemicals from commercial sources were used without further purification. Solvents were dried and purified using standard techniques. Column chromatography was performed with analytical-grade solvents using Aldrich silica gel (technical grade, pore size 60 \u0026Aring;, 230-400 mesh particle size). Flexible plates ALUGRAM\u0026reg; Xtra SIL G UV254 from MACHEREY-NAGEL were used for TLC. Compounds were detected by UV irradiation (Bioblock Scientific) or staining with iodine, unless otherwise stated.\u003c/p\u003e\n\u003cp\u003eNMR spectra were recorded with a Bruker AVANCE III 300 (\u003csup\u003e1\u003c/sup\u003eH, 300 MHz and \u003csup\u003e13\u003c/sup\u003eC, 76 MHz) and Bruker AVANCE DRX 500 (\u003csup\u003e1\u003c/sup\u003eH, 500 MHz and \u003csup\u003e13\u003c/sup\u003eC, 125 MHz). Chemical shifts are given in ppm relative to tetramethylsilane TMS and coupling constants \u003cem\u003eJ\u003c/em\u003e in Hz. Residual non-deuterated solvent was used as an internal standard.\u003c/p\u003e\n\u003cp\u003eMatrix Assisted Laser Desorption/Ionization was performed on MALDI-TOF MS BIFLEX III Bruker Daltonics spectrometer using dithranol, DCTB or \u0026alpha;-terthiophene as matrix.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eSynthetic Procedures\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cimg 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\"\u003e\u003c/strong\u003e\u003cbr\u003e\u003c/p\u003e\n\u003cp\u003e\u003cimg 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\"\u003e\u003cbr\u003e\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eCrystallographic details\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eA single crystal of t[4]HB was mounted on a glass fibre loop using a viscous hydrocarbon oil to coat the crystal and then transferred directly to cold nitrogen stream for data collection. Data collection was performed at 150 K on an Agilent Supernova with CuK\u0026alpha; (\u0026lambda; = 1.54184 \u0026Aring;). The structure was solved by direct methods and refined on F\u003csup\u003e2\u003c/sup\u003e by full matrix least-squares techniques with SHELX programs (SHELXS-2013 and SHELXL-2016-2018)\u003csup\u003e37,38\u003c/sup\u003e using the WinGX graphical user interface\u003csup\u003e39\u003c/sup\u003e. Crystallographic data for nine structure have been deposited with the Cambridge Crystallographic Data Centre, deposition number CCDC 2092008 for \u003cstrong\u003e2\u003c/strong\u003e. These data can be obtained free of charge from CCDC, 12 Union Road, Cambridge CB2 1EZ, UK (email: [email protected] or http://www.ccdc.cam.ac.uk).\u003c/p\u003e\n\u003cp\u003eSingle crystal X-ray structure of t[4]HB\u003c/p\u003e\n\u003cp\u003eThe t[4]HB crystallizes in the monoclinic system, centrosymmetric space group \u003cem\u003eP\u003c/em\u003e2\u003csub\u003e1\u003c/sub\u003e/c, with two independent helicene molecules in the unit cell and one and half independent crystallization benzene molecules (Supplementary Fig. 15). The conformation of the three [4]helicene units is M,M,P for both independent molecules (Supplementary Figs. 15 and 16), the opposite configuration P,P,M being generated through the inversion center. Intermolecular interactions of p-p stacking, suggested by Ph\u0026middot;\u0026middot;\u0026middot;Ph distances as short as 3.67 \u0026Aring;, sustain the supramolecular architecture in the solid state.\u003c/p\u003e\n\u003cp\u003e36. \u0026nbsp; \u0026nbsp; M. A. Brooks, L. T. Scott, 1,2-Shifts of Hydrogen Atoms in Aryl Radicals. \u003cem\u003eJ. Am. Chem. Soc.\u003c/em\u003e \u003cstrong\u003e121\u003c/strong\u003e, 5444\u0026ndash;5449 (1999).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e37. \u0026nbsp; \u0026nbsp; G. M. Sheldrick, Crystal structure refinement with SHELX. \u003cem\u003eActa Cryst. C\u0026nbsp;\u003c/em\u003e\u003cstrong\u003e71\u003c/strong\u003e, 3\u0026ndash;8 (2015).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e38. \u0026nbsp; \u0026nbsp; G. M. Sheldrick, SHELXT-Integrated space-group and crystal-structure determination. \u003cem\u003eActa Cryst. A\u003c/em\u003e \u003cstrong\u003e71\u003c/strong\u003e, 3\u0026ndash;8 (2015).\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e39. \u0026nbsp; \u0026nbsp; L. J. Farrugia, WinGX and ORTEP for Windows: An update. \u003cem\u003eJ. Appl. Cryst.\u003c/em\u003e \u003cstrong\u003e45\u003c/strong\u003e, 849\u0026ndash;854 (2012).\u003c/p\u003e\n\u003cp\u003e40. \u0026nbsp; \u0026nbsp; Voigt et al. 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Advances in Combinatorics, 2021, 1, 37 pp. https://doi.org/10.19086/aic.18614.\u003c/li\u003e\n\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"nature-portfolio","isNatureJournal":true,"hasQc":false,"allowDirectSubmit":false,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"","title":"Nature Portfolio","twitterHandle":"","acdcEnabled":false,"dfaEnabled":false,"editorialSystem":"ejp","reportingPortfolio":"","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-4577708/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4577708/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eCrystallization remains an important method for separating chiral molecules into their two mirror-image isomers, yet the molecular recognition during aggregation into solids is still not fully understood. In particular, there are no definitive rules to predict whether a pair of chiral partners will crystallize together into racemic crystals or as separate counterparts. A more manageable version of this phenomenon is crystallization in two dimensions, such as the formation of surface structures by adsorbed molecules. The relatively simple spatial arrangement of these systems, coupled with the submolecular resolution provided by modern scanning probe technologies, makes it easier to study the effects of specific chiral interactions. Here, we report spiral topological patterns in the two-dimensional aggregation of chiral molecules on a silver crystal surface. The molecules tessellate the plane in chiral nodes and supramolecular triangles. Spiral annihilation is achieved only through the chiral triangular tiling of triads, with N±1 molecules at the edges and a specific strategy of chiral offsetting of triangles. Due to a high degree of molecular flexibility, entropy is maximized by switching molecular handedness in conjunction with the number of nodes controlled by triangle size. Our results demonstrate that two-dimensional self-assembly can be governed by topological constraints and that an aperiodic tiling of the plane can be realized solely by natural forces without human intervention.\u003c/p\u003e","manuscriptTitle":"An aperiodic chiral tiling by topological molecular self-assembly","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-07-08 17:16:13","doi":"10.21203/rs.3.rs-4577708/v1","editorialEvents":[],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"nature-communications","isNatureJournal":true,"hasQc":false,"allowDirectSubmit":false,"externalIdentity":"NCOMMS","sideBox":"Learn more about [Nature Communications](http://www.nature.com/ncomms/)","snPcode":"","submissionUrl":"https://mts-ncomms.nature.com/","title":"Nature Communications","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"ejp","reportingPortfolio":"Nature Communications","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"93d68324-3fa8-4033-ada5-1a68bdc55e46","owner":[],"postedDate":"July 8th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":33472733,"name":"Physical sciences/Chemistry/Surface chemistry/Scanning probe microscopy"},{"id":33472734,"name":"Physical sciences/Materials science/Nanoscale materials/Molecular self-assembly"}],"tags":[],"updatedAt":"2025-01-04T08:14:52+00:00","versionOfRecord":{"articleIdentity":"rs-4577708","link":"https://doi.org/10.1038/s41467-024-55405-5","journal":{"identity":"nature-communications","isVorOnly":false,"title":"Nature Communications"},"publishedOn":"2025-01-02 05:00:00","publishedOnDateReadable":"January 2nd, 2025"},"versionCreatedAt":"2024-07-08 17:16:13","video":"","vorDoi":"10.1038/s41467-024-55405-5","vorDoiUrl":"https://doi.org/10.1038/s41467-024-55405-5","workflowStages":[]},"version":"v1","identity":"rs-4577708","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4577708","identity":"rs-4577708","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}