- Open Access
Quasiperiodic arrays of finite-size molecular chains induced by anisotropic growth
Phys. Rev. B 112, 235402 – Published 1 December, 2025
DOI: https://doi.org/10.1103/rn6b-hff8
Abstract
Due to their diverse adsorption sites with distinct electronic, chemical, and geometrical properties, quasicrystal surfaces serve as a platform for growing novel overlayer structures. Here, we present the growth of molecules on a twofold surface of the decagonal Al-Ni-Co quasicrystal, which possesses both periodic and quasiperiodic order. Scanning tunneling microscopy (STM) reveals that the deposited preferentially grows along the periodic direction, producing chains of molecules arranged in a Fibonacci sequence, a representative of one-dimensional quasicrystalline order. By comparing STM images at submonolayer coverage with the substrate model structure, we identified that molecules preferentially adsorb at Ni/Co atomic sites matching the geometry of molecules. The molecules experience two competing processes: substrate-molecule interactions and molecule-molecule van der Waals interactions, resulting in chains of limited length. These findings provide insights into tailoring molecular assemblies on quasicrystalline templates, with potential applications in nanostructured materials and molecular electronics.
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References (40)
- D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Metallic phase with long-range orientational order and no translational symmetry, Phys. Rev. Lett. 53, 1951 (1984).
- W. Zhou, Y. Lim, H. Lin, S. Lee, Y. Li, Z. Huang, J. S. Du, B. Lee, S. Wang, A. Sánchez-Iglesias et al., Colloidal quasicrystals engineered with DNA, Nat. Mater. 23, 424 (2024).
- S. Fischer, A. Exner, K. Zielske, J. Perlich, S. Deloudi, W. Steurer, P. Lindner, and S. Förster, Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry, Proc. Natl. Acad. Sci. USA 108, 1810 (2011).
- E. G. Noya, C. K. Wong, P. Llombart, and J. P. Doye, How to design an icosahedral quasicrystal through directional bonding, Nature (London) 596, 367 (2021).
- T. Dotera, Quasicrystals in soft matter, Isr. J. Chem. 51, 1197 (2011).
- S. Förster, K. Meinel, R. Hammer, M. Trautmann, and W. Widdra, Quasicrystalline structure formation in a classical crystalline thin-film system, Nature (London) 502, 215 (2013).
- S. Förster, S. Schenk, E. M. Zollner, O. Krahn, C.-T. Chiang, F. O. Schumann, A. Bayat, K.-M. Schindler, M. Trautmann, R. Hammer et al., Quasicrystals and their approximants in 2D ternary oxides, Phys. Status Solidi B 257, 1900624 (2020).
- H. R. Sharma, M. Shimoda, and A. P. Tsai, Quasicrystal surfaces: Structure and growth of atomic overlayers, Adv. Phys. 56, 403 (2007).
- P. A. Thiel and R. McGrath, Surfaces of quasicrystals and complex metallic alloys, Surf. Interface Sci. 3, 349 (2013).
- R. Lifshitz, Recent advances in quasicrystal research, Isr. J. Chem. 64, e202412000 (2024).
- S. Coates, D. Burnie, H. R. Sharma, and R. McGrath, Scanning microscopy studies of Tsai-type quasicrystal approximants, Isr. J. Chem. 64, e202300116 (2023).
- H. R. Sharma, K. Nozawa, J. A. Smerdon, P. J. Nugent, I. McLeod, V. R. Dhanak, M. Shimoda, Y. Ishii, A. P. Tsai, and R. McGrath, Templated three-dimensional growth of quasicrystalline lead, Nat. Commun. 4, 2715 (2013).
- V. Fournée, É. Gaudry, J. Ledieu, M.-C. De Weerd, D. Wu, and T. Lograsso, Self-organized molecular films with long-range quasiperiodic order, ACS Nano 8, 3646 (2014).
- J. A. Smerdon, K. Young, M. Lowe, S. S. Hars, T. P. Yadav, D. Hesp, V. R. Dhanak, A. P. Tsai, H. Sharma, and R. McGrath, Templated quasicrystalline molecular ordering, Nano Lett. 14, 1184 (2014).
- J. Ledieu, É. Gaudry, V. Fournée, J. Smerdon, and R. D. Diehl, Fullerene adsorption on intermetallic compounds of increasing structural complexity, Z. Kristallogr. - Cryst. Mater. 232, 629 (2017).
- S. Coates, J. A. Smerdon, R. McGrath, and H. R. Sharma, A molecular overlayer with the Fibonacci square grid structure, Nat. Commun. 9, 3435 (2018).
- K. M. Young, J. A. Smerdon, H. R. Sharma, M. Lahti, K. Pussi, and R. McGrath, Acene adsorption on a Fibonacci-modulated cu film, Phys. Rev. B 87, 085407 (2013).
- H. R. Sharma, S. Coates, A. Alofi, and R. McGrath, Growth of pentacene molecules on Tsai-type quasicrystals and related crystal surfaces, J. Vac. Sci. Technol., A 40, 013211 (2022).
- N. Kalashnyk, J. Ledieu, É. Gaudry, C. Cui, A.-P. Tsai, and V. Fournée, Building 2D quasicrystals from 5-fold symmetric corannulene molecules, Nano Res. 11, 2129 (2018).
- J. Ledieu, C. A. Muryn, G. Thornton, R. D. Diehl, T. A. Lograsso, D. W. Delaney, and R. McGrath, adsorption on the quasicrystalline surface of , Surf. Sci. 472, 89 (2001).
- S. Deloudi, F. Fleischer, and W. Steurer, Unifying cluster-based structure models of decagonal Al–Co–Ni, Al–Co–Cu and Al–Fe–Ni, Acta Crystallogr. Sect. B: Struct. Sci. 67, 1 (2011).
- S. Ritsch, C. Beeli, H. Nissen, T. Gödecke, M. Scheffer, and R. Lück, The existence regions of structural modifications in decagonal Al-Co-Ni, Philos. Mag. Lett. 78, 67 (1998).
- A. P. Tsai, A. Inoue, and T. Masumoto, New decagonal Al–Ni–Fe and Al–Ni–Co alloys prepared by liquid quenching, Mater. Trans. JIM, 30, 150 (1989).
- H. R. Sharma, K. J. Franke, W. Theis, A. Riemann, S. Fölsch, P. Gille, and K. H. Rieder, Structure and morphology of the tenfold surface of decagonal in its low-temperature random tiling type-I modification, Phys. Rev. B 70, 235409 (2004).
- H. R. Sharma, K. J. Franke, W. Theis, A. Riemann, S. Fölsch, K. H. Rieder, and P. Gille, Investigation of the twofold decagonal (10000) surface by SPA-LEED and He diffraction, Surf. Sci. 561, 121 (2004).
- R. McGrath, J. Smerdon, H. Sharma, W. Theis, and J. Ledieu, The surface science of quasicrystals, J. Phys.: Condens. Matter 22, 084022 (2010).
- R. Mäder, R. Widmer, P. Gröning, S. Deloudi, W. Steurer, M. Heggen, P. Schall, M. Feuerbacher, and O. Gröning, High-resolution scanning tunneling microscopy investigation of the (12110) and (10000) two-fold symmetric -Al-Ni-Co quasicrystalline surfaces, Phys. Rev. B 80, 035433 (2009).
- K. J. Franke, Quasicrystal surfaces: Morphology, phase transitions, and epitaxy, Ph.D. thesis, Freie Universität Berlin, 2004.
- M. Kishida, Y. Kamimura, R. Tamura, K. Edagawa, S. Takeuchi, T. Sato, Y. Yokoyama, J. Q. Guo, and A. P. Tsai, Scanning tunneling microscopy of an Al-Ni-Co decagonal quasicrystal, Phys. Rev. B 65, 094208 (2002).
- J. Y. Park, D. F. Ogletree, M. Salmeron, R. A. Ribeiro, P. C. Canfield, C. J. Jenks, and P. A. Thiel, Atomic scale coexistence of periodic and quasiperiodic order in a twofold Al-Ni-Co decagonal quasicrystal surface, Phys. Rev. B 72, 220201(R) (2005).
- M. Krajčí, J. Hafner, and M. Mihalkovič, Ab initio study of the surface of a decagonal Al-Co-Ni quasicrystal, Phys. Rev. B 73, 134203 (2006).
- W. Krätschmer, L. D. Lamb, K. Fostiropoulos, and D. R. Huffman, Solid : A new form of carbon, Nature (London) 347, 354 (1990).
- P. J. Moriarty, Fullerene adsorption on semiconductor surfaces, Surf. Sci. Rep. 65, 175 (2010).
- J. L. de Boer, S. van Smaalen, V. Petricek, M. Dusek, M. A. Verheijen, and G. Meijer, Hexagonal close-packed , Chem. Phys. Lett. 219, 469 (1994).
- M. Feng, J. Lee, J. Zhao, J. T. Yates Jr, and H. Petek, Nanoscale templating of close-packed nanowires, J. Am. Chem. Soc. 129, 12394 (2007).
- D. B. Dougherty, W. Jin, W. G. Cullen, G. Dutton, J. E. Reutt-Robey, and S. W. Robey, Local transport gap in nanochains on a pentacene template, Phys. Rev. B 77, 073414 (2008).
- Y. Tsujikawa, X. Zhang, K. Yamaguchi, M. Haze, T. Nakashima, A. Varadwaj, Y. Sato, M. Horio, Y. Hasegawa, F. Komori et al., Quasi-periodic growth of one-dimensional copper boride on Cu(110), Nano Lett. 24, 1160 (2024).
- Q. Liang, O. K. C. Tsui, Y. Xu, H. Li, and X. Xiao, Effect of molecular rotation on nanotribology, Phys. Rev. Lett. 90, 146102 (2003).
- N. Sasaki and K. Miura, Key issues of nanotribology for successful nanofabrication–from basis to molecular bearings, Jpn. J. Appl. Phys. 43, 4486 (2004).
- J. Y. Park and P. Thiel, Atomic scale friction and adhesion properties of quasicrystal surfaces, J. Phys.: Condens. Matter 20, 314012 (2008).