The Completion of the Platonic Atomic Polyhedra: The Dodecahedron

Binary AuPd nanoparticles in the 1–2 nm size range have been imaged by high‐resolution electron microscopy (HREM). A dodecahedral atomic growth pattern is identified in the round‐shaped particles (such a dodecahedron is shown as a ball model (left) and a simulated microscope image (right)), which ma...

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Published inSmall (Weinheim an der Bergstrasse, Germany) Vol. 2; no. 3; pp. 351 - 355
Main Authors Montejano-Carrizales, Juan Martín, Rodríguez-López, José Luis, Pal, Umapada, Miki-Yoshida, Mario, José-Yacamán, Miguel
Format Journal Article
LanguageEnglish
Published Weinheim WILEY-VCH Verlag 01.03.2006
WILEY‐VCH Verlag
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Abstract Binary AuPd nanoparticles in the 1–2 nm size range have been imaged by high‐resolution electron microscopy (HREM). A dodecahedral atomic growth pattern is identified in the round‐shaped particles (such a dodecahedron is shown as a ball model (left) and a simulated microscope image (right)), which make up 85 % of the total product. The results demonstrate the first experimental evidence of this Platonic form for metallic nanoparticles of this size. The stability of such structures has been validated through theoretical calculations.
AbstractList When metallic nanoparticles are synthesized, their three-dimensional (3D) shape or structure results in 2D projections in the transmission electron microscopy (TEM) image corresponding to different shapes such as squares, triangles, hexagons, quasi-circles, and pentagons. These shapes can be associated in three dimensions to the cube, tetrahedron, cubo-octahedron, icosahedron, and decahedron, respectively, depending on the orientation of the particles on the substrate surface. When the particles are of 1-2 nm size, it is possible to observe the fivefold orientation more frequently, and this is probably due to truncations on the surface in contact with the substrate. lso, when bimetallic nanoparticles are synthesized, the frequency of the icosahedral particle increases, particularly for the smallest sizes. Platonic solids are polyhedra formed by the faces made of a same regular polygon. In total there exist five Platonic solids, namely, the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. Composed of regular triangles, there exists the tetrahedron, octahedron, and icosahedron with 4, 8, and 20 faces, respectively. Interestingly, today's modern technology has confirmed that many nanoparticles take on some Platonic-solid-related shapes.
Binary AuPd nanoparticles in the 1–2 nm size range have been imaged by high‐resolution electron microscopy (HREM). A dodecahedral atomic growth pattern is identified in the round‐shaped particles (such a dodecahedron is shown as a ball model (left) and a simulated microscope image (right)), which make up 85 % of the total product. The results demonstrate the first experimental evidence of this Platonic form for metallic nanoparticles of this size. The stability of such structures has been validated through theoretical calculations.
Author Miki-Yoshida, Mario
Montejano-Carrizales, Juan Martín
Rodríguez-López, José Luis
Pal, Umapada
José-Yacamán, Miguel
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  surname: Montejano-Carrizales
  fullname: Montejano-Carrizales, Juan Martín
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  givenname: José Luis
  surname: Rodríguez-López
  fullname: Rodríguez-López, José Luis
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  organization: Advanced Materials Department, IPICYT, Camino Presa San José 2055, 78216 San Luis Potosí, Mexico, Fax: (+52) 444-834-2010
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  givenname: Mario
  surname: Miki-Yoshida
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  givenname: Miguel
  surname: José-Yacamán
  fullname: José-Yacamán, Miguel
  email: yacaman@che.utexas.edu
  organization: Department of Chemical Engineering and Texas Materials Institute, University of Texas, 78712-1063 Austin, TX, USA, Fax: (+1) 512-471-7681
BackLink https://www.ncbi.nlm.nih.gov/pubmed/17193048$$D View this record in MEDLINE/PubMed
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We acknowledge the financial support from AMRC, SEMAT-ECH, CONACyT-Mexico (grant Nos. J42645-F and 46269), and ICNAM. Facilities and computing time extended by the Texas Advanced Computing Center (TACC) of the University of Texas at Austin are also acknowledged.
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We acknowledge the financial support from AMRC, SEMAT‐ECH, CONACyT‐Mexico (grant Nos. J42645‐F and 46269), and ICNAM. Facilities and computing time extended by the Texas Advanced Computing Center (TACC) of the University of Texas at Austin are also acknowledged.
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Snippet Binary AuPd nanoparticles in the 1–2 nm size range have been imaged by high‐resolution electron microscopy (HREM). A dodecahedral atomic growth pattern is...
When metallic nanoparticles are synthesized, their three-dimensional (3D) shape or structure results in 2D projections in the transmission electron microscopy...
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SubjectTerms atomic structure
Computer Simulation
Crystallization - methods
density functional theory
Macromolecular Substances - chemistry
Metals - chemistry
modeling
Models, Chemical
Models, Molecular
Molecular Conformation
nanoparticles
Nanostructures - chemistry
Nanostructures - ultrastructure
Nanotechnology - methods
Particle Size
template synthesis
Title The Completion of the Platonic Atomic Polyhedra: The Dodecahedron
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https://onlinelibrary.wiley.com/doi/abs/10.1002%2Fsmll.200500362
https://www.ncbi.nlm.nih.gov/pubmed/17193048
https://search.proquest.com/docview/29210700
https://search.proquest.com/docview/68268716
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