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      Five-vertex Archimedean surface tessellation by lanthanide-directed molecular self-assembly.

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          Abstract

          The tessellation of the Euclidean plane by regular polygons has been contemplated since ancient times and presents intriguing aspects embracing mathematics, art, and crystallography. Significant efforts were devoted to engineer specific 2D interfacial tessellations at the molecular level, but periodic patterns with distinct five-vertex motifs remained elusive. Here, we report a direct scanning tunneling microscopy investigation on the cerium-directed assembly of linear polyphenyl molecular linkers with terminal carbonitrile groups on a smooth Ag(111) noble-metal surface. We demonstrate the spontaneous formation of fivefold Ce-ligand coordination motifs, which are planar and flexible, such that vertices connecting simultaneously trigonal and square polygons can be expressed. By tuning the concentration and the stoichiometric ratio of rare-earth metal centers to ligands, a hierarchic assembly with dodecameric units and a surface-confined metal-organic coordination network yielding the semiregular Archimedean snub square tiling could be fabricated.

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          Author and article information

          Journal
          Proc. Natl. Acad. Sci. U.S.A.
          Proceedings of the National Academy of Sciences of the United States of America
          1091-6490
          0027-8424
          Apr 23 2013
          : 110
          : 17
          Affiliations
          [1 ] Physik Department E20, Technische Universität München, D-85478 Garching, Germany. david.ecija@tum.de
          Article
          1222713110
          10.1073/pnas.1222713110
          23576764
          a47596fd-0a8b-4cb4-a844-002b381e471e
          History

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