Exploring high-symmetry structures in non-Cartesian coordinates: preparation and characteristics of cylindrically symmetric-rotating crystals
Since their discovery in 1981, quasicrystals have challenged traditional crystallography, showcasing the diversity of material structures. Quasicrystals are ordered structures in higher-dimensional Cartesian coordinate systems projected into lower dimensions. Exploring whether materials can grow int...
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Taylor & Francis Group
2024-12-01
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| Series: | Science and Technology of Advanced Materials: Methods |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/27660400.2024.2406743 |
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| author | Bo Da Long Cheng Xun Liu Kunji Shigeto Zihang Zhang Kazuhito Tsukagoshi Toshihide Nabatame Zejun Ding Jiangwei Liu Hideki Yoshikawa Shigeo Tanuma |
| author_facet | Bo Da Long Cheng Xun Liu Kunji Shigeto Zihang Zhang Kazuhito Tsukagoshi Toshihide Nabatame Zejun Ding Jiangwei Liu Hideki Yoshikawa Shigeo Tanuma |
| author_sort | Bo Da |
| collection | DOAJ |
| description | Since their discovery in 1981, quasicrystals have challenged traditional crystallography, showcasing the diversity of material structures. Quasicrystals are ordered structures in higher-dimensional Cartesian coordinate systems projected into lower dimensions. Exploring whether materials can grow into high-symmetry ordered structures in different mathematical coordinate systems is an intriguing topic. This paper reports a new crystallization growth mode in InSiO thin films, exhibiting high symmetry in spherical and cylindrical coordinate systems, named cylindrical symmetric rotating crystals (CSRC). These crystals show rotational symmetry in their lattice structure, consistent with cylindrical symmetry. They are also part of spherical crystals, which theoretically have one of the highest symmetries. Theoretical predictions suggest that a two-dimensional slice of a spherical crystal in conventional grating mode SEM images will display relatively complete Kikuchi patterns due to the wave properties of incident electrons, unlike crystals or quasicrystals, which show surface morphology from the particle properties of incident electrons. We formed InSiO CSRC by heating InSiO amorphous films and observed relatively complete Kikuchi patterns that quantitatively relate to the incident electron beam direction and energy. These findings align with theoretical predictions, indicating that the Kikuchi patterns in SEM images result from Bragg diffraction through coherent electron scattering within the crystals. Quantitative analysis of these patterns provides information on the lattice structure, constants, crystal orientation, stress information, defect concentration, and Brillouin zone of the InSiO material. This method of obtaining microstructural information directly from SEM images applies only to CSRC, not to conventional or quasicrystal samples. |
| format | Article |
| id | doaj-art-e6a66543e26a4558a179bce6d24cbe6a |
| institution | Kabale University |
| issn | 2766-0400 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Science and Technology of Advanced Materials: Methods |
| spelling | doaj-art-e6a66543e26a4558a179bce6d24cbe6a2024-12-10T09:58:05ZengTaylor & Francis GroupScience and Technology of Advanced Materials: Methods2766-04002024-12-014110.1080/27660400.2024.2406743Exploring high-symmetry structures in non-Cartesian coordinates: preparation and characteristics of cylindrically symmetric-rotating crystalsBo Da0Long Cheng1Xun Liu2Kunji Shigeto3Zihang Zhang4Kazuhito Tsukagoshi5Toshihide Nabatame6Zejun Ding7Jiangwei Liu8Hideki Yoshikawa9Shigeo Tanuma10Center for Basic Research on Materials, National Institute for Materials Science, Tsukuba, Ibaraki, JapanDepartment of Physics, University of Science and Technology of China, Hefei, Auhui, P.R. ChinaCenter for Basic Research on Materials, National Institute for Materials Science, Tsukuba, Ibaraki, JapanElectron Microscope Systems Design Department, Hitachi High-Tech Corporation, Hitachinaka, Ibaraki, JapanDepartment of Physics, University of Science and Technology of China, Hefei, Auhui, P.R. ChinaInternational Center for Materials Nanoarchitectonics (WPI-MANA), National Institute for Materials Science, Tsukuba, Ibaraki, JapanInternational Center for Materials Nanoarchitectonics (WPI-MANA), National Institute for Materials Science, Tsukuba, Ibaraki, JapanDepartment of Physics, University of Science and Technology of China, Hefei, Auhui, P.R. ChinaResearch Center for Electronic and Optical Materials, National Institute for Materials Science, Tsukuba, Ibaraki, JapanCenter for Basic Research on Materials, National Institute for Materials Science, Tsukuba, Ibaraki, JapanResearch Network and Facility Services Division, National Institute for Materials Science, Tsukuba, Ibaraki, JapanSince their discovery in 1981, quasicrystals have challenged traditional crystallography, showcasing the diversity of material structures. Quasicrystals are ordered structures in higher-dimensional Cartesian coordinate systems projected into lower dimensions. Exploring whether materials can grow into high-symmetry ordered structures in different mathematical coordinate systems is an intriguing topic. This paper reports a new crystallization growth mode in InSiO thin films, exhibiting high symmetry in spherical and cylindrical coordinate systems, named cylindrical symmetric rotating crystals (CSRC). These crystals show rotational symmetry in their lattice structure, consistent with cylindrical symmetry. They are also part of spherical crystals, which theoretically have one of the highest symmetries. Theoretical predictions suggest that a two-dimensional slice of a spherical crystal in conventional grating mode SEM images will display relatively complete Kikuchi patterns due to the wave properties of incident electrons, unlike crystals or quasicrystals, which show surface morphology from the particle properties of incident electrons. We formed InSiO CSRC by heating InSiO amorphous films and observed relatively complete Kikuchi patterns that quantitatively relate to the incident electron beam direction and energy. These findings align with theoretical predictions, indicating that the Kikuchi patterns in SEM images result from Bragg diffraction through coherent electron scattering within the crystals. Quantitative analysis of these patterns provides information on the lattice structure, constants, crystal orientation, stress information, defect concentration, and Brillouin zone of the InSiO material. This method of obtaining microstructural information directly from SEM images applies only to CSRC, not to conventional or quasicrystal samples.https://www.tandfonline.com/doi/10.1080/27660400.2024.2406743InSiOcylindrically symmetric-rotating crystalKikuchi patternelectron diffractionSEM |
| spellingShingle | Bo Da Long Cheng Xun Liu Kunji Shigeto Zihang Zhang Kazuhito Tsukagoshi Toshihide Nabatame Zejun Ding Jiangwei Liu Hideki Yoshikawa Shigeo Tanuma Exploring high-symmetry structures in non-Cartesian coordinates: preparation and characteristics of cylindrically symmetric-rotating crystals Science and Technology of Advanced Materials: Methods InSiO cylindrically symmetric-rotating crystal Kikuchi pattern electron diffraction SEM |
| title | Exploring high-symmetry structures in non-Cartesian coordinates: preparation and characteristics of cylindrically symmetric-rotating crystals |
| title_full | Exploring high-symmetry structures in non-Cartesian coordinates: preparation and characteristics of cylindrically symmetric-rotating crystals |
| title_fullStr | Exploring high-symmetry structures in non-Cartesian coordinates: preparation and characteristics of cylindrically symmetric-rotating crystals |
| title_full_unstemmed | Exploring high-symmetry structures in non-Cartesian coordinates: preparation and characteristics of cylindrically symmetric-rotating crystals |
| title_short | Exploring high-symmetry structures in non-Cartesian coordinates: preparation and characteristics of cylindrically symmetric-rotating crystals |
| title_sort | exploring high symmetry structures in non cartesian coordinates preparation and characteristics of cylindrically symmetric rotating crystals |
| topic | InSiO cylindrically symmetric-rotating crystal Kikuchi pattern electron diffraction SEM |
| url | https://www.tandfonline.com/doi/10.1080/27660400.2024.2406743 |
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