Optical Microscopy Observations and Construction of Dupin Cyclides at the Isotropic/Smectic A Phase Transition
In this work, we are interested in the nucleation of bâtonnets at the Isotropic/Smectic A phase transition of 10CB liquid crystal. Very often, these bâtonnets are decorated with a large number of focal conics. We present here an example of a bâtonnet obtained by optical crossed polarized microscopy...
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2021-08-01
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| Online Access: | https://www.mdpi.com/1996-1944/14/16/4539 |
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| author | Mikhael Halaby Macary Gauthier Damême Antoine Gibek Valentin Dubuffet Benoît Dupuy Justin Picart Roll Freddy Dimeni Claire Meyer |
| author_facet | Mikhael Halaby Macary Gauthier Damême Antoine Gibek Valentin Dubuffet Benoît Dupuy Justin Picart Roll Freddy Dimeni Claire Meyer |
| author_sort | Mikhael Halaby Macary |
| collection | DOAJ |
| description | In this work, we are interested in the nucleation of bâtonnets at the Isotropic/Smectic A phase transition of 10CB liquid crystal. Very often, these bâtonnets are decorated with a large number of focal conics. We present here an example of a bâtonnet obtained by optical crossed polarized microscopy in a frequently observed particular area of the sample. This bâtonnet presents bulges and one of them consists of a tessellation of ellipses. These ellipses are two by two tangent, one to each other, and their confocal hyperbolas merge at the apex of the bâtonnet. We propose a numerical simulation with Python software to reproduce this tiling of ellipses as well as the shape of the smectic layers taking the well-known shape of Dupin cyclides within this particular bâtonnet area. |
| first_indexed | 2024-03-10T08:38:04Z |
| format | Article |
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| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T08:38:04Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-68501e89432c4f1886806d39907fcfe02023-11-22T08:29:01ZengMDPI AGMaterials1996-19442021-08-011416453910.3390/ma14164539Optical Microscopy Observations and Construction of Dupin Cyclides at the Isotropic/Smectic A Phase TransitionMikhael Halaby Macary0Gauthier Damême1Antoine Gibek2Valentin Dubuffet3Benoît Dupuy4Justin Picart5Roll Freddy Dimeni6Claire Meyer7Laboratoire de Physique des Systèmes Complexes, Université de Picardie Jules Verne, 80039 Amiens, FranceLaboratoire de Physique des Systèmes Complexes, Université de Picardie Jules Verne, 80039 Amiens, FranceLaboratoire de Physique des Systèmes Complexes, Université de Picardie Jules Verne, 80039 Amiens, FranceLaboratoire de Physique des Systèmes Complexes, Université de Picardie Jules Verne, 80039 Amiens, FranceLaboratoire de Physique des Systèmes Complexes, Université de Picardie Jules Verne, 80039 Amiens, FranceLaboratoire de Physique des Systèmes Complexes, Université de Picardie Jules Verne, 80039 Amiens, FranceLaboratoire de Physique des Systèmes Complexes, Université de Picardie Jules Verne, 80039 Amiens, FranceLaboratoire de Physique des Systèmes Complexes, Université de Picardie Jules Verne, 80039 Amiens, FranceIn this work, we are interested in the nucleation of bâtonnets at the Isotropic/Smectic A phase transition of 10CB liquid crystal. Very often, these bâtonnets are decorated with a large number of focal conics. We present here an example of a bâtonnet obtained by optical crossed polarized microscopy in a frequently observed particular area of the sample. This bâtonnet presents bulges and one of them consists of a tessellation of ellipses. These ellipses are two by two tangent, one to each other, and their confocal hyperbolas merge at the apex of the bâtonnet. We propose a numerical simulation with Python software to reproduce this tiling of ellipses as well as the shape of the smectic layers taking the well-known shape of Dupin cyclides within this particular bâtonnet area.https://www.mdpi.com/1996-1944/14/16/4539bâtonnetsfocal conical domainsSmectic A phaseDupin cyclides |
| spellingShingle | Mikhael Halaby Macary Gauthier Damême Antoine Gibek Valentin Dubuffet Benoît Dupuy Justin Picart Roll Freddy Dimeni Claire Meyer Optical Microscopy Observations and Construction of Dupin Cyclides at the Isotropic/Smectic A Phase Transition Materials bâtonnets focal conical domains Smectic A phase Dupin cyclides |
| title | Optical Microscopy Observations and Construction of Dupin Cyclides at the Isotropic/Smectic A Phase Transition |
| title_full | Optical Microscopy Observations and Construction of Dupin Cyclides at the Isotropic/Smectic A Phase Transition |
| title_fullStr | Optical Microscopy Observations and Construction of Dupin Cyclides at the Isotropic/Smectic A Phase Transition |
| title_full_unstemmed | Optical Microscopy Observations and Construction of Dupin Cyclides at the Isotropic/Smectic A Phase Transition |
| title_short | Optical Microscopy Observations and Construction of Dupin Cyclides at the Isotropic/Smectic A Phase Transition |
| title_sort | optical microscopy observations and construction of dupin cyclides at the isotropic smectic a phase transition |
| topic | bâtonnets focal conical domains Smectic A phase Dupin cyclides |
| url | https://www.mdpi.com/1996-1944/14/16/4539 |
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