Throughout history, objects with fivefold symmetry have been a popular topic of interest for artists, philosophers, and scientists. This may be because fivefold symmetry is very conspicuous in nature. In the case of crystals, fivefold rotational symmetry is mathematically forbidden, and macroscopic crystals exhibiting fivefold symmetry have never been shown to exist. Nevertheless, in the nanoworld, nanoparticles are often found with decahedral and icosahedral shapes that have an overall pseudo–fivefold symmetry. These structures are observed at many length scales, from 1 nm up to 1 µm. In this review, several reasons for the stability of fivefold nanoparticles are discussed. Finally, these include the formation of twin boundaries, surface reconstruction faceting, and other factors.
Rogers, Blake, et al. "Decahedra and Icosahedra Everywhere: The Anomalous Crystallization of Au and Other Metals at the Nanoscale." Crystal Research and Technology, vol. 58, no. 4, Feb. 2023. https://doi.org/10.1002/crat.202200259
Rogers, Blake, Lehr, Alexander, Velázquez‐Salazar, J. Jesús, Whetten, Robert, Mendoza‐Cruz, Ruben, Bazan‐Diaz, Lourdes, Bahena‐Uribe, Daniel, & José Yacaman, Miguel (2023). Decahedra and Icosahedra Everywhere: The Anomalous Crystallization of Au and Other Metals at the Nanoscale. Crystal Research and Technology, 58(4). https://doi.org/10.1002/crat.202200259
Rogers, Blake, Lehr, Alexander, Velázquez‐Salazar, J. Jesús, et al., "Decahedra and Icosahedra Everywhere: The Anomalous Crystallization of Au and Other Metals at the Nanoscale," Crystal Research and Technology 58, no. 4 (2023), https://doi.org/10.1002/crat.202200259
@article{osti_2417752,
author = {Rogers, Blake and Lehr, Alexander and Velázquez‐Salazar, J. Jesús and Whetten, Robert and Mendoza‐Cruz, Ruben and Bazan‐Diaz, Lourdes and Bahena‐Uribe, Daniel and José Yacaman, Miguel},
title = {Decahedra and Icosahedra Everywhere: The Anomalous Crystallization of Au and Other Metals at the Nanoscale},
annote = {Throughout history, objects with fivefold symmetry have been a popular topic of interest for artists, philosophers, and scientists. This may be because fivefold symmetry is very conspicuous in nature. In the case of crystals, fivefold rotational symmetry is mathematically forbidden, and macroscopic crystals exhibiting fivefold symmetry have never been shown to exist. Nevertheless, in the nanoworld, nanoparticles are often found with decahedral and icosahedral shapes that have an overall pseudo–fivefold symmetry. These structures are observed at many length scales, from 1 nm up to 1 µm. In this review, several reasons for the stability of fivefold nanoparticles are discussed. Finally, these include the formation of twin boundaries, surface reconstruction faceting, and other factors.},
doi = {10.1002/crat.202200259},
url = {https://www.osti.gov/biblio/2417752},
journal = {Crystal Research and Technology},
issn = {ISSN 0232-1300},
number = {4},
volume = {58},
place = {United States},
publisher = {Wiley},
year = {2023},
month = {02}}