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Montero de Hijes P, Vega C. On the thermodynamics of curved interfaces and the nucleation of hard spheres in a finite system. J Chem Phys 2022; 156:014505. [PMID: 34998350 DOI: 10.1063/5.0072175] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We determine, for hard spheres, the Helmholtz free energy of a liquid that contains a solid cluster as a function of the size of the solid cluster by means of the formalism of the thermodynamics of curved interfaces. This is done at the constant total number of particles, volume, and temperature. We show that under certain conditions, one may have several local minima in the free energy profile, one for the homogeneous liquid and others for the spherical, cylindrical, and planar solid clusters surrounded by liquid. The variation of the interfacial free energy with the radius of the solid cluster and the distance between equimolar and tension surfaces are inputs from simulation results of nucleation studies. This is possible because stable solid clusters in the canonical ensemble become critical in the isothermal-isobaric ensemble. At each local minimum, we find no difference in chemical potential between the phases. At local maxima, we also find equal chemical potential, albeit in this case the nucleus is unstable. Moreover, the theory allows us to describe the stable solid clusters found in simulations. Therefore, we can use it for any combination of the total number of particles, volume, and global density as long as a minimum in the Helmholtz free energy occurs. We also study under which conditions the absolute minimum in the free energy corresponds to a homogeneous liquid or to a heterogeneous system having either spherical, cylindrical, or planar geometry. This work shows that the thermodynamics of curved interfaces at equilibrium can be used to describe nucleation.
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Affiliation(s)
- P Montero de Hijes
- Departamento de Química Física, Facultad de Ciencias Químicas, Universidad Complutense de Madrid, 28040 Madrid, Spain
| | - C Vega
- Departamento de Química Física, Facultad de Ciencias Químicas, Universidad Complutense de Madrid, 28040 Madrid, Spain
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Ghoufi A, Malfreyt P. Interfacial tension of the graphene–water solid–liquid interface: how to handle the electrostatic interactions? Mol Phys 2021. [DOI: 10.1080/00268976.2021.1948121] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Aziz Ghoufi
- Institut de Physique de Rennes (IPR) – UMR 6251, Université Rennes, CNRS, Rennes, France
| | - Patrice Malfreyt
- Institut de Chimie de Clermont-Ferrand, Université Clermont Auvergne, Clermont-Ferrand, France
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de Thieulloy L, Le Bras L, Zumer B, Sanz García J, Lemarchand C, Pineau N, Adamo C, Perrier A. Aggregation-Induced Emission: A Challenge for Computational Chemistry Taking TPA-BMO as an Example*. Chemphyschem 2021; 22:1802-1816. [PMID: 34161645 DOI: 10.1002/cphc.202100239] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/30/2021] [Revised: 06/07/2021] [Indexed: 11/08/2022]
Abstract
A multi-environment computational approach is proposed to study the modulation of the emission behavior of the triphenylamine (Z)-4-benzylidene-2-methyloxazol-5(4H)-one (TPA-BMO) molecule [Tang et al., J. Phys. Chem. C 119, 21875 (2015)]. We aim at (1) proposing a realistic description of the molecule in several environments (solution, aggregate, polymer matrix), (2) modelling its absorption and emission properties, and (3) providing a qualitative understanding of the experimental observations by highlighting the photophysical phenomena leading to the emission modulation. To this purpose, we rely on (TD-)DFT calculations and classical Molecular Dynamics simulations, but also on the hybrid ONIOM QM/QM' approach and the in situ chemical polymerization methodology. In low-polar solvents, the investigation of the potential energy surfaces and the modulation of the emission quantum yield can be attributed to possible photophysical energy dissipation caused by low-frequency vibrational modes. In the aggregate and in the polymer matrix, the emission modulation can be qualitatively interpreted in terms of the possible restriction of the intramolecular vibrations. For these two systems, our study highlights that a careful modelling of the environment is far from trivial but is fundamental to model the optical properties of the fluorophore.
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Affiliation(s)
- Laure de Thieulloy
- Chimie ParisTech, PSL Research University, CNRS, Institute of Chemistry for Life and Health Sciences (i-CLeHS), F-75005, Paris, France
| | - Laura Le Bras
- Chimie ParisTech, PSL Research University, CNRS, Institute of Chemistry for Life and Health Sciences (i-CLeHS), F-75005, Paris, France
| | - Benoît Zumer
- Chimie ParisTech, PSL Research University, CNRS, Institute of Chemistry for Life and Health Sciences (i-CLeHS), F-75005, Paris, France
| | - Juan Sanz García
- Laboratoire de Chimie Théorique, Sorbonne Université, UMR7616, F-75005, Paris, France
| | - Claire Lemarchand
- CEA/DAM/DIF, 91297, Arpajon Cedex, France.,Université Paris-Saclay, CEA, Laboratoire Matière sous Conditions Extrêmes, 91680, Bruyères-le-Chatel, France
| | - Nicolas Pineau
- CEA/DAM/DIF, 91297, Arpajon Cedex, France.,Université Paris-Saclay, CEA, Laboratoire Matière sous Conditions Extrêmes, 91680, Bruyères-le-Chatel, France
| | - Carlo Adamo
- Chimie ParisTech, PSL Research University, CNRS, Institute of Chemistry for Life and Health Sciences (i-CLeHS), F-75005, Paris, France.,Institut Universitaire de France, 103 Bd Saint-Michel, F-75005, Paris, France
| | - Aurélie Perrier
- Chimie ParisTech, PSL Research University, CNRS, Institute of Chemistry for Life and Health Sciences (i-CLeHS), F-75005, Paris, France.,Université de Paris, F-75006, Paris, France
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Heyden S, Bain N, Xu Q, Style RW, Dufresne ER. Contact lines on stretched soft solids: modelling anisotropic surface stresses. Proc Math Phys Eng Sci 2021. [DOI: 10.1098/rspa.2020.0673] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Abstract
We present fully analytical solutions for the deformation of a stretched soft substrate due to the static wetting of a large liquid droplet, and compare our solutions to recently published experiments (Xu
et al.
2018
Soft Matter
14, 916–920 (doi:10.1039/C7SM02431B)). Following a Green’s function approach, we extend the surface-stress regularized Flamant–Cerruti problem to account for uniaxial pre-strains of the substrate. Surface profiles, including the heights and opening angles of wetting ridges, are provided for linearized and finite kinematics. We fit experimental wetting ridge shapes as a function of applied strain using two free parameters, the surface Lamé coefficients. In comparison with experiments, we find that observed opening angles are more accurately captured using finite kinematics, especially with increasing levels of applied pre-strain. These fits qualitatively agree with the results of Xu
et al
., but revise values of the surface elastic constants.
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Affiliation(s)
- Stefanie Heyden
- Department of Materials, ETH Zürich, 8093 Zürich, Switzerland
| | - Nicolas Bain
- Department of Materials, ETH Zürich, 8093 Zürich, Switzerland
| | - Qin Xu
- Department of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
| | - Robert W. Style
- Department of Materials, ETH Zürich, 8093 Zürich, Switzerland
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Le Bras L, Lemarchand C, Aloïse S, Adamo C, Pineau N, Perrier A. Modeling Photonastic Materials: A First Computational Study. J Chem Theory Comput 2020; 16:7017-7032. [DOI: 10.1021/acs.jctc.0c00762] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Laura Le Bras
- Institute of Chemistry for Life and Health Sciences (i-CLeHS), Chimie ParisTech, PSL Research University, CNRS, F-75005 Paris, France
| | - Claire Lemarchand
- CEA/DAM/DIF, 91297 Arpajon Cedex, France
- Laboratoire Matière sous Conditions Extrêmes, Université Paris-Saclay, CEA, 91680 Bruyères-le-Chatel, France
| | - Stéphane Aloïse
- LASIRE—LAboratoire de Spectroscopie pour les Interactions, la Réactivité et l’Environnement, Univ. Lille, CNRS, UMR 8516, F-59000 Lille, France
| | - Carlo Adamo
- Institute of Chemistry for Life and Health Sciences (i-CLeHS), Chimie ParisTech, PSL Research University, CNRS, F-75005 Paris, France
- Institut Universitaire de France, 103 Boulevard Saint-Michel, F-75005 Paris, France
| | - Nicolas Pineau
- CEA/DAM/DIF, 91297 Arpajon Cedex, France
- Laboratoire Matière sous Conditions Extrêmes, Université Paris-Saclay, CEA, 91680 Bruyères-le-Chatel, France
| | - Aurélie Perrier
- Institute of Chemistry for Life and Health Sciences (i-CLeHS), Chimie ParisTech, PSL Research University, CNRS, F-75005 Paris, France
- Université de Paris, F-75006 Paris, France
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