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 in | Small (Weinheim an der Bergstrasse, Germany) Vol. 2; no. 3; pp. 351 - 355 |
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Format | Journal Article |
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01.03.2006
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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. |
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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 |
Author_xml | – sequence: 1 givenname: Juan Martín surname: Montejano-Carrizales fullname: Montejano-Carrizales, Juan Martín organization: Instituto de Física, Universidad Autónoma de San Luis Potosí, 78000 San Luis Potosí, Mexico – sequence: 2 givenname: José Luis surname: Rodríguez-López fullname: Rodríguez-López, José Luis email: jlrdz@ipicyt.edu.mx organization: Advanced Materials Department, IPICYT, Camino Presa San José 2055, 78216 San Luis Potosí, Mexico, Fax: (+52) 444-834-2010 – sequence: 3 givenname: Umapada surname: Pal fullname: Pal, Umapada organization: Instituto de Física, Universidad Autónoma de Puebla, Apdo. Postal J-48, 72570 Puebla, Mexico – sequence: 4 givenname: Mario surname: Miki-Yoshida fullname: Miki-Yoshida, Mario organization: Centro de Investigación en Materiales Avanzados S. C. Miguel de Cervantes 120, 31109 Chihuahua, Mexico – sequence: 5 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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Notes | istex:A4C6AC0B4729A0471B47EC42C8F41DFF481D3630 ark:/67375/WNG-SP6HWFDH-P 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. ArticleID:SMLL200500362 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. ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 ObjectType-Article-1 ObjectType-Feature-2 |
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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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