The completion of the platonic atomic polyhedra: The dodecahedron

Juan Martín Montejano-Carrizales, José Luis Rodríguez-López, Umapada Pal, Mario Miki-Yoshida, Miguel José-Yacamán

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


The shape of nanoparticles is strongly dependent on the preparation methods. When metallic nanoparticles are synthesized, their three-dimensional (3D) shape or structures results in 2D projections in the transmission electron microscopy (TEM) image corresponding to different shapes such as squares, triangles, hexagons, quasi-circles, and pentagons. When bimetallic nanoparticles are synthesized, the frequency of the icosahedral particle increases, particularly for the smallest sizes. The result shows that in the very small size range of both mono- and bimetallic nanoparticles, the complete sequence of structures formed such as, atoms clusters, Platonic solids, Archimedean solids, defected structures, and bulk structures.

Original languageEnglish (US)
Pages (from-to)351-355
Number of pages5
Issue number3
StatePublished - Mar 2006
Externally publishedYes


  • Atomic structure
  • Density functional theory
  • Modeling
  • Nanoparticles
  • Template synthesis

ASJC Scopus subject areas

  • General Chemistry
  • Engineering (miscellaneous)
  • Biotechnology
  • General Materials Science
  • Biomaterials


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