Symmetry and Asymmetry in Quasicrystals or Amorphous Materials
Quasicrystals (QCs) are long-range ordered materials with a symmetry incompatible with translation invariance. Accordingly, QCs exhibit high-quality diffraction patterns containing a collection of discrete Bragg reflections. Notwithstanding this, it is still common to read in the recent literature t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-08-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/8/1326 |
| _version_ | 1797559427954376704 |
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| author | Enrique Maciá Barber |
| author_facet | Enrique Maciá Barber |
| author_sort | Enrique Maciá Barber |
| collection | DOAJ |
| description | Quasicrystals (QCs) are long-range ordered materials with a symmetry incompatible with translation invariance. Accordingly, QCs exhibit high-quality diffraction patterns containing a collection of discrete Bragg reflections. Notwithstanding this, it is still common to read in the recent literature that these materials occupy an intermediate position between amorphous materials and periodic crystals. This misleading terminology can be understood as probably arising from the use of models and notions borrowed from the amorphous solid’s conceptual framework (such us tunneling states, weak interference effects, variable range hopping, or spin glass) in order to explain certain physical properties observed in QCs. On the other hand, the absence of a general, full-fledged theory of quasiperiodic systems certainly makes it difficult to clearly distinguish the features related to short-range order atomic arrangements from those stemming from long-range order correlations. |
| first_indexed | 2024-03-10T17:45:18Z |
| format | Article |
| id | doaj.art-cae78e3d38b64110abec44d3706391a6 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T17:45:18Z |
| publishDate | 2020-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-cae78e3d38b64110abec44d3706391a62023-11-20T09:33:56ZengMDPI AGSymmetry2073-89942020-08-01128132610.3390/sym12081326Symmetry and Asymmetry in Quasicrystals or Amorphous MaterialsEnrique Maciá Barber0Departamento Física de Materiales, Facultad CC. Físicas, Universidad Complutense de Madrid, 28040 Madrid, SpainQuasicrystals (QCs) are long-range ordered materials with a symmetry incompatible with translation invariance. Accordingly, QCs exhibit high-quality diffraction patterns containing a collection of discrete Bragg reflections. Notwithstanding this, it is still common to read in the recent literature that these materials occupy an intermediate position between amorphous materials and periodic crystals. This misleading terminology can be understood as probably arising from the use of models and notions borrowed from the amorphous solid’s conceptual framework (such us tunneling states, weak interference effects, variable range hopping, or spin glass) in order to explain certain physical properties observed in QCs. On the other hand, the absence of a general, full-fledged theory of quasiperiodic systems certainly makes it difficult to clearly distinguish the features related to short-range order atomic arrangements from those stemming from long-range order correlations.https://www.mdpi.com/2073-8994/12/8/1326n/a |
| spellingShingle | Enrique Maciá Barber Symmetry and Asymmetry in Quasicrystals or Amorphous Materials Symmetry n/a |
| title | Symmetry and Asymmetry in Quasicrystals or Amorphous Materials |
| title_full | Symmetry and Asymmetry in Quasicrystals or Amorphous Materials |
| title_fullStr | Symmetry and Asymmetry in Quasicrystals or Amorphous Materials |
| title_full_unstemmed | Symmetry and Asymmetry in Quasicrystals or Amorphous Materials |
| title_short | Symmetry and Asymmetry in Quasicrystals or Amorphous Materials |
| title_sort | symmetry and asymmetry in quasicrystals or amorphous materials |
| topic | n/a |
| url | https://www.mdpi.com/2073-8994/12/8/1326 |
| work_keys_str_mv | AT enriquemaciabarber symmetryandasymmetryinquasicrystalsoramorphousmaterials |