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Ramírez González JP, Cinacchi G. Phase behavior of hard circular arcs. Phys Rev E 2021; 104:054604. [PMID: 34942798 DOI: 10.1103/physreve.104.054604] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/30/2021] [Accepted: 10/12/2021] [Indexed: 01/26/2023]
Abstract
By using Monte Carlo numerical simulation, this work investigates the phase behavior of systems of hard infinitesimally thin circular arcs, from an aperture angle θ→0 to an aperture angle θ→2π, in the two-dimensional Euclidean space. Except in the isotropic phase at lower density and in the (quasi)nematic phase, in the other phases that form, including the isotropic phase at higher density, hard infinitesimally thin circular arcs autoassemble to form clusters. These clusters are either filamentous, for smaller values of θ, or roundish, for larger values of θ. Provided the density is sufficiently high, the filaments lengthen, merge, and straighten to finally produce a filamentary phase while the roundels compact and dispose themselves with their centers of mass at the sites of a triangular lattice to finally produce a cluster hexagonal phase.
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Affiliation(s)
- Juan Pedro Ramírez González
- Departamento de Física Teórica de la Materia Condensada, Universidad Autónoma de Madrid, Ciudad Universitaria de Cantoblanco, 28049 Madrid, Spain
| | - Giorgio Cinacchi
- Departamento de Física Teórica de la Materia Condensada, Instituto de Física de la Materia Condensada (IFIMAC), Instituto de Ciencias de Materiales "Nicolás Cabrera", Universidad Autónoma de Madrid, Ciudad Universitaria de Cantoblanco, 28049 Madrid, Spain
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2
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Basurto E, Gurin P, Varga S, Odriozola G. Anisotropy-independent packing of confined hard ellipses. J Mol Liq 2021. [DOI: 10.1016/j.molliq.2021.115896] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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3
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Affiliation(s)
- Michael P. Allen
- Department of Physics, University of Warwick, Coventry, UK
- H. H. Wills Physics Laboratory, Royal Fort, Bristol, UK
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4
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Avendaño C, Jackson G, Wensink HH. Nanorings in planar confinement: the role of repulsive surfaces on the formation of lacuna smectics. Mol Phys 2018. [DOI: 10.1080/00268976.2018.1484950] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
Affiliation(s)
- Carlos Avendaño
- School of Chemical Engineering and Analytical Science, The University of Manchester, Oxford Road, Manchester M13 9PL, UK
| | - George Jackson
- Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK
| | - Henricus H. Wensink
- Laboratoire de Physique des Solides UMR 8502, CNRS, Universite Paris-Sud, Universite Paris-Saclay, Orsay, France
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5
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Leite Rubim R, Abrantes Barros M, Missègue T, Bougis K, Navailles L, Nallet F. Highly confined stacks of graphene oxide sheets in water. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2018; 41:30. [PMID: 29546498 DOI: 10.1140/epje/i2018-11636-5] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/08/2018] [Accepted: 02/21/2018] [Indexed: 06/08/2023]
Abstract
Since the discovery of graphene oxide (GO), the most accessible of the precursors of graphene, this material has been widely studied for applications in science and technology. In this work, we describe a procedure to obtain GO dispersions in water at high concentrations, these highly dehydrated dispersions being in addition fully redispersible by dilution. With the availability of such concentrated samples, it was possible to investigate the structure of hydrated GO sheets in a previously unexplored range of concentrations, and to evidence a structural phase transition. Tentatively applying models designed for describing the small-angle scattering curve in the Smectic A (or [Formula: see text]) phase of lyotropic systems, it was possible to extract elastic parameters characterising the system on the dilute side of the transition, thereby evidencing the relevance of both electrostatic and steric (Helfrich) interactions in stabilising aqueous lamellar stacks of GO sheets.
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Affiliation(s)
- Rafael Leite Rubim
- Université de Bordeaux, Centre de recherche Paul-Pascal-CNRS, 115 avenue du Docteur-Schweitzer, F-33600, Pessac, France
| | - Margarida Abrantes Barros
- Université de Bordeaux, Centre de recherche Paul-Pascal-CNRS, 115 avenue du Docteur-Schweitzer, F-33600, Pessac, France
- Técnico Lisboa, Av. Rovisco Pais, 1, PT-1049-001, Lisboa, Portugal
| | - Thomas Missègue
- Université de Bordeaux, Centre de recherche Paul-Pascal-CNRS, 115 avenue du Docteur-Schweitzer, F-33600, Pessac, France
| | - Kévin Bougis
- Université de Bordeaux, Centre de recherche Paul-Pascal-CNRS, 115 avenue du Docteur-Schweitzer, F-33600, Pessac, France
| | - Laurence Navailles
- Université de Bordeaux, Centre de recherche Paul-Pascal-CNRS, 115 avenue du Docteur-Schweitzer, F-33600, Pessac, France
| | - Frédéric Nallet
- Université de Bordeaux, Centre de recherche Paul-Pascal-CNRS, 115 avenue du Docteur-Schweitzer, F-33600, Pessac, France.
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McBride JM, Avendaño C. Phase behaviour and gravity-directed self assembly of hard convex spherical caps. SOFT MATTER 2017; 13:2085-2098. [PMID: 28225134 DOI: 10.1039/c6sm02678h] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
We investigate the phase behaviour and self-assembly of convex spherical caps using Monte Carlo simulations. This model is used to represent the main features observed in experimental colloidal particles with mushroom-cap shape [Riley et al., Langmuir, 2010, 26, 1648]. The geometry of this non-centrosymmetric convex model is fully characterized by the aspect ratio χ* defined as the spherical cap height to diameter ratio. We use NPT Monte Carlo simulations combined with free energy calculations to determine the most stable crystal structures and the phase behaviour of convex spherical caps with different aspect ratios. We find a variety of crystal structures at each aspect ratio, including plastic and dimer-based crystals; small differences in chemical potential between the structures with similar morphology suggest that convex spherical caps have the tendency to form polycrystalline phases rather than crystallising into a single uniform structure. With the exception of plastic crystals observed at large aspect ratios (χ* > 0.75), crystallisation kinetics seem to be too slow, hindering the spontaneous formation of ordered structures. As an alternative, we also present a study of directing the self-assembly of convex spherical caps via sedimentation onto solid substrates. This study contributes to show how small changes to particle shape can significantly alter the self-assembly of crystal structures, and how a simple gravity field and a template can substantially enhance the process.
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Affiliation(s)
- John M McBride
- School of Chemical Engineering and Analytical Science, The University of Manchester, Sackville Street, Manchester M13 9PL, UK.
| | - Carlos Avendaño
- School of Chemical Engineering and Analytical Science, The University of Manchester, Sackville Street, Manchester M13 9PL, UK.
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Cinacchi G, Torquato S. Hard convex lens-shaped particles: Densest-known packings and phase behavior. J Chem Phys 2015; 143:224506. [DOI: 10.1063/1.4936938] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Giorgio Cinacchi
- Departamento de Física Teórica de la Materia Condensada, Instituto de Física de la Materia Condensada (IFIMAC), Instituto de Ciencias de Materiales “Nicolás Cabrera,” Universidad Autónoma de Madrid, Campus de Cantoblanco, E-28049 Madrid, Spain
| | - Salvatore Torquato
- Department of Chemistry, Department of Physics, Institute for the Science and Technology of Materials, Program for Applied and Computational Mathematics, Princeton University, Princeton, New Jersey 08544, USA
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Cinacchi G, Tani A. Isotropic–Nematic Phase Transition in Hard Platelets as Described by a Third-Virial Theory. J Phys Chem B 2015; 119:5671-6. [PMID: 25826713 DOI: 10.1021/acs.jpcb.5b00389] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Giorgio Cinacchi
- Departamento
de Física Teórica de la Materia Condensada, Instituto
de Física de la Materia Condensada (IFIMAC) and Instituto de
Ciencias de Materiales “Nicolás Cabrera”, Universidad Autónoma de Madrid, Campus de Cantoblanco, E-28049 Madrid, Spain
| | - Alessandro Tani
- Dipartimento
di Chimica, Università di Pisa, Via G. Moruzzi 3, I-56124 Pisa, Italy
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