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Thermodynamic Analysis of Brownian Motion-Induced Particle Agglomeration Using the Taylor-Series Expansion Method of Moments. Processes (Basel) 2021. [DOI: 10.3390/pr9071218] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
On the basis of binary perfectly inelastic collision theory, the time evolutions of kinetic energy and surface area for a particle agglomerate system, due to Brownian motion, are investigated by using the Taylor series expansion technology. The asymptotic behaviors over a long time period show a significantly negative power function of time. The thermodynamic constraints of this system are then obtained according to the principle of maximum entropy, which establishes a relationship of inequality between the first three particle moments and some physical parameters (i.e., surface tension and temperature). In the thermodynamic equilibrium state, this function provides a new approach for estimating the effect of molecular structure on surface tension of liquid polymers.
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Ring DJ, Riggleman RA, Lee D. Critical Contact Angle to Induce Capillary Rise of Polymers in Nanopores Does Not Depend on Chain Length. ACS Macro Lett 2019; 8:31-35. [PMID: 35619407 DOI: 10.1021/acsmacrolett.8b00953] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
We study the effect of physical confinement on the capillary infiltration of polymers into cylindrical nanopores using molecular dynamics simulations. In particular, we probe whether the critical contact angle (θc) above which capillary rise infiltration ceases to occur changes for long-chain polymers, possibly due to loss of conformation entropy induced by chain confinement. Surprisingly, θc does not strongly depend on the length of polymer chains and stays constant for large N. A free energy model is developed to show that θc depends strongly on the size of statistical segments rather than N, which we confirm by performing MD simulations of infiltration with semiflexible polymers. These results could provide guidelines in manufacturing polymer nanostructures and nanocomposites using capillary rise infiltration.
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Affiliation(s)
- David J. Ring
- Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, United States
| | - Robert A. Riggleman
- Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, United States
| | - Daeyeon Lee
- Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, United States
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Carrillo JMY, Seibers Z, Kumar R, Matheson MA, Ankner JF, Goswami M, Bhaskaran-Nair K, Shelton WA, Sumpter BG, Kilbey SM. Petascale Simulations of the Morphology and the Molecular Interface of Bulk Heterojunctions. ACS NANO 2016; 10:7008-22. [PMID: 27299676 DOI: 10.1021/acsnano.6b03009] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/21/2023]
Abstract
Understanding how additives interact and segregate within bulk heterojunction (BHJ) thin films is critical for exercising control over structure at multiple length scales and delivering improvements in photovoltaic performance. The morphological evolution of poly(3-hexylthiophene) (P3HT) and phenyl-C61-butyric acid methyl ester (PCBM) blends that are commensurate with the size of a BHJ thin film is examined using petascale coarse-grained molecular dynamics simulations. Comparisons between two-component and three-component systems containing short P3HT chains as additives undergoing thermal annealing demonstrate that the short chains alter the morphology in apparently useful ways: they efficiently migrate to the P3HT/PCBM interface, increasing the P3HT domain size and interfacial area. Simulation results agree with depth profiles determined from neutron reflectometry measurements that reveal PCBM enrichment near substrate and air interfaces but a decrease in that PCBM enrichment when a small amount of short P3HT chains are integrated into the BHJ blend. Atomistic simulations of the P3HT/PCBM blend interfaces show a nonmonotonic dependence of the interfacial thickness as a function of number of repeat units in the oligomeric P3HT additive, and the thiophene rings orient parallel to the interfacial plane as they approach the PCBM domain. Using the nanoscale geometries of the P3HT oligomers, LUMO and HOMO energy levels calculated by density functional theory are found to be invariant across the donor/acceptor interface. These connections between additives, processing, and morphology at all length scales are generally useful for efforts to improve device performance.
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Affiliation(s)
- Jan-Michael Y Carrillo
- Center for Nanophase Materials Sciences, ‡Computer Science and Mathematics Division, §National Center for Computational Sciences, and ∥Spallation Neutron Source, Oak Ridge National Laboratory , Oak Ridge, Tennessee 37831, United States
- Department of Energy Science and Engineering and @Departments of Chemistry and Chemical and Biomolecular Engineering, University of Tennessee , Knoxville, Tennessee 37996, United States
- Center for Computation and Technology and #Cain Department of Chemical Engineering Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - Zach Seibers
- Center for Nanophase Materials Sciences, ‡Computer Science and Mathematics Division, §National Center for Computational Sciences, and ∥Spallation Neutron Source, Oak Ridge National Laboratory , Oak Ridge, Tennessee 37831, United States
- Department of Energy Science and Engineering and @Departments of Chemistry and Chemical and Biomolecular Engineering, University of Tennessee , Knoxville, Tennessee 37996, United States
- Center for Computation and Technology and #Cain Department of Chemical Engineering Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - Rajeev Kumar
- Center for Nanophase Materials Sciences, ‡Computer Science and Mathematics Division, §National Center for Computational Sciences, and ∥Spallation Neutron Source, Oak Ridge National Laboratory , Oak Ridge, Tennessee 37831, United States
- Department of Energy Science and Engineering and @Departments of Chemistry and Chemical and Biomolecular Engineering, University of Tennessee , Knoxville, Tennessee 37996, United States
- Center for Computation and Technology and #Cain Department of Chemical Engineering Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - Michael A Matheson
- Center for Nanophase Materials Sciences, ‡Computer Science and Mathematics Division, §National Center for Computational Sciences, and ∥Spallation Neutron Source, Oak Ridge National Laboratory , Oak Ridge, Tennessee 37831, United States
- Department of Energy Science and Engineering and @Departments of Chemistry and Chemical and Biomolecular Engineering, University of Tennessee , Knoxville, Tennessee 37996, United States
- Center for Computation and Technology and #Cain Department of Chemical Engineering Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - John F Ankner
- Center for Nanophase Materials Sciences, ‡Computer Science and Mathematics Division, §National Center for Computational Sciences, and ∥Spallation Neutron Source, Oak Ridge National Laboratory , Oak Ridge, Tennessee 37831, United States
- Department of Energy Science and Engineering and @Departments of Chemistry and Chemical and Biomolecular Engineering, University of Tennessee , Knoxville, Tennessee 37996, United States
- Center for Computation and Technology and #Cain Department of Chemical Engineering Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - Monojoy Goswami
- Center for Nanophase Materials Sciences, ‡Computer Science and Mathematics Division, §National Center for Computational Sciences, and ∥Spallation Neutron Source, Oak Ridge National Laboratory , Oak Ridge, Tennessee 37831, United States
- Department of Energy Science and Engineering and @Departments of Chemistry and Chemical and Biomolecular Engineering, University of Tennessee , Knoxville, Tennessee 37996, United States
- Center for Computation and Technology and #Cain Department of Chemical Engineering Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - Kiran Bhaskaran-Nair
- Center for Nanophase Materials Sciences, ‡Computer Science and Mathematics Division, §National Center for Computational Sciences, and ∥Spallation Neutron Source, Oak Ridge National Laboratory , Oak Ridge, Tennessee 37831, United States
- Department of Energy Science and Engineering and @Departments of Chemistry and Chemical and Biomolecular Engineering, University of Tennessee , Knoxville, Tennessee 37996, United States
- Center for Computation and Technology and #Cain Department of Chemical Engineering Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - William A Shelton
- Center for Nanophase Materials Sciences, ‡Computer Science and Mathematics Division, §National Center for Computational Sciences, and ∥Spallation Neutron Source, Oak Ridge National Laboratory , Oak Ridge, Tennessee 37831, United States
- Department of Energy Science and Engineering and @Departments of Chemistry and Chemical and Biomolecular Engineering, University of Tennessee , Knoxville, Tennessee 37996, United States
- Center for Computation and Technology and #Cain Department of Chemical Engineering Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - Bobby G Sumpter
- Center for Nanophase Materials Sciences, ‡Computer Science and Mathematics Division, §National Center for Computational Sciences, and ∥Spallation Neutron Source, Oak Ridge National Laboratory , Oak Ridge, Tennessee 37831, United States
- Department of Energy Science and Engineering and @Departments of Chemistry and Chemical and Biomolecular Engineering, University of Tennessee , Knoxville, Tennessee 37996, United States
- Center for Computation and Technology and #Cain Department of Chemical Engineering Louisiana State University , Baton Rouge, Louisiana 70803, United States
| | - S Michael Kilbey
- Center for Nanophase Materials Sciences, ‡Computer Science and Mathematics Division, §National Center for Computational Sciences, and ∥Spallation Neutron Source, Oak Ridge National Laboratory , Oak Ridge, Tennessee 37831, United States
- Department of Energy Science and Engineering and @Departments of Chemistry and Chemical and Biomolecular Engineering, University of Tennessee , Knoxville, Tennessee 37996, United States
- Center for Computation and Technology and #Cain Department of Chemical Engineering Louisiana State University , Baton Rouge, Louisiana 70803, United States
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Sun X, Liu Y, Di CA, Wen Y, Guo Y, Zhang L, Zhao Y, Yu G. Interfacial heterogeneity of surface energy in organic field-effect transistors. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2011; 23:1009-1014. [PMID: 21341316 DOI: 10.1002/adma.201004187] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/12/2010] [Indexed: 05/30/2023]
Affiliation(s)
- Xiangnan Sun
- Beijing National Laboratory for Molecular Sciences, Key Laboratory of Organic Solids, Institute of Chemistry, Chinese Academy of Sciences, PR China
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Wei R, Luo Y, Li Z. Synthesis of structured nanoparticles of styrene/butadiene block copolymers via RAFT seeded emulsion polymerization. POLYMER 2010. [DOI: 10.1016/j.polymer.2010.06.023] [Citation(s) in RCA: 50] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Anastasiadis SH. Interfacial Tension in Binary Polymer Blends and the Effects of Copolymers as Emulsifying Agents. POLYMER THERMODYNAMICS 2010. [DOI: 10.1007/12_2010_81] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
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Pierce F, Tsige M, Borodin O, Perahia D, Grest GS. Interfacial properties of semifluorinated alkane diblock copolymers. J Chem Phys 2008; 128:214903. [DOI: 10.1063/1.2924120] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023] Open
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Stark R, Kappl M, Butt HJ. Interaction of Solid Surfaces Across Binary Mixtures of Polymer Melts. Macromolecules 2007. [DOI: 10.1021/ma070024r] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Rüdiger Stark
- Max-Planck-Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany
| | - Michael Kappl
- Max-Planck-Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany
| | - Hans-Jürgen Butt
- Max-Planck-Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany
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French RH, Winey KI, Yang MK, Qiu W. Optical Properties and van der Waals - London Dispersion Interactions of Polystyrene Determined by Vacuum Ultraviolet Spectroscopy and Spectroscopic Ellipsometry. Aust J Chem 2007. [DOI: 10.1071/ch06222] [Citation(s) in RCA: 47] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
Abstract
The interband optical properties of polystyrene in the vacuum ultraviolet (VUV) region have been investigated using combined spectroscopic ellipsometry and VUV spectroscopy. Over the range 1.5–32 eV, the optical properties exhibit electronic transitions we assign to three groupings, E1, E2, and E3, corresponding to a hierarchy of interband transitions of aromatic (π → π*), non-bonding (n → π*, n → σ*), and saturated (σ → σ*) orbitals. In polystyrene there are strong features in the interband transitions arising from the side-chain π bonding of the aromatic ring consisting of a shoulder at 5.8 eV (E1′) and a peak at 6.3 eV (E1), and from the σ bonding of the C–C backbone at 12 eV (E3′) and 17.1 eV (E3). These E3 transitions have characteristic critical point line shapes associated with one-dimensionally delocalized electron states in the polymer backbone. A small shoulder at 9.9 eV (E2) is associated with excitations possibly from residual monomer or impurities. Knowledge of the valence electronic excitations of a material provides the necessary optical properties to calculate the van der Waals–London dispersion interactions using Lifshitz quantum electrodynamics theory and full spectral optical properties. Hamaker constants and the van der Waals–London dispersion component of the surface free energy for polystyrene were determined. These Lifshitz results were compared to the total surface free energy of polystyrene, polarity, and dispersive component of the surface free energy as determined from contact angle measurements with two liquids, and with literature values. The Lifshitz approach, using full spectral Hamaker constants, is a more direct determination of the van der Waals–London dispersion component of the surface free energy of polystyrene than other methods.
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Delgado EJ, Diaz GA. A molecular structure based model for predicting surface tension of organic compounds. SAR AND QSAR IN ENVIRONMENTAL RESEARCH 2006; 17:483-96. [PMID: 17050188 DOI: 10.1080/10629360600933913] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/12/2023]
Abstract
A Quantitative Structure-Property Relationship (QSPR) model for the prediction of surface tension of organic compounds was derived from a data set of 320 chemicals including N, O, F, Cl, Br, and/or S atoms and covering a range of about 14-45 dyn cm-1. The model, only involving six molecular descriptors obtained solely from the chemical structures, yielded an r2 of 0.96. Its predictive capability was estimated from an external test set containing 55 structures not considered in the training set (r2 = 0.94). It was shown that the selected molecular descriptors presented a physical meaning corresponding to the different intermolecular interactions occurring in the bulk solution. The model is applicable to a wider variety of compounds, includes less parameters and correlates better than other QSPR models reported in literature.
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Affiliation(s)
- E J Delgado
- Faculty of Chemical Sciences, Theoretical and Computational Chemistry Group (QTC), Universidad de Concepción, Casilla 160-C, Concepción, Chile.
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Dolinnyi AI. Adsorption from polymer mixtures. The effect of molecular mass. COLLOID JOURNAL 2006. [DOI: 10.1134/s1061933x06010042] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Lewin M, Mey-Marom A, Frank R. Surface free energies of polymeric materials, additives and minerals. POLYM ADVAN TECHNOL 2005. [DOI: 10.1002/pat.605] [Citation(s) in RCA: 85] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Vásquez D, Toro J, Lozsán A, García-Sucre M, Urbina-Villalba G. Interfacial Properties of tert-Butyl Alcohol Solutions and Their Relation to Clathrate Formation. J Phys Chem B 2002. [DOI: 10.1021/jp013433c] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Daniela Vásquez
- Laboratorio de Átomos, Moléculas y Campos, Centro de Física, Instituto Venezolano de Investigaciones Científicas (IVIC), Caracas 1020-A, Venezuela, Facultad de Ciencias y Tecnología, Departamento de Química, Universidad de Carabobo, Bárbula, Venezuela, Facultad de Ciencias, Departamento de Física, Universidad del Zulia, Maracaibo, Venezuela, and Facultad de Ciencias, Escuela de Química, Universidad Central de Venezuela, Postgrado, Caracas, Venezuela
| | - Jhoan Toro
- Laboratorio de Átomos, Moléculas y Campos, Centro de Física, Instituto Venezolano de Investigaciones Científicas (IVIC), Caracas 1020-A, Venezuela, Facultad de Ciencias y Tecnología, Departamento de Química, Universidad de Carabobo, Bárbula, Venezuela, Facultad de Ciencias, Departamento de Física, Universidad del Zulia, Maracaibo, Venezuela, and Facultad de Ciencias, Escuela de Química, Universidad Central de Venezuela, Postgrado, Caracas, Venezuela
| | - Aileen Lozsán
- Laboratorio de Átomos, Moléculas y Campos, Centro de Física, Instituto Venezolano de Investigaciones Científicas (IVIC), Caracas 1020-A, Venezuela, Facultad de Ciencias y Tecnología, Departamento de Química, Universidad de Carabobo, Bárbula, Venezuela, Facultad de Ciencias, Departamento de Física, Universidad del Zulia, Maracaibo, Venezuela, and Facultad de Ciencias, Escuela de Química, Universidad Central de Venezuela, Postgrado, Caracas, Venezuela
| | - Máximo García-Sucre
- Laboratorio de Átomos, Moléculas y Campos, Centro de Física, Instituto Venezolano de Investigaciones Científicas (IVIC), Caracas 1020-A, Venezuela, Facultad de Ciencias y Tecnología, Departamento de Química, Universidad de Carabobo, Bárbula, Venezuela, Facultad de Ciencias, Departamento de Física, Universidad del Zulia, Maracaibo, Venezuela, and Facultad de Ciencias, Escuela de Química, Universidad Central de Venezuela, Postgrado, Caracas, Venezuela
| | - German Urbina-Villalba
- Laboratorio de Átomos, Moléculas y Campos, Centro de Física, Instituto Venezolano de Investigaciones Científicas (IVIC), Caracas 1020-A, Venezuela, Facultad de Ciencias y Tecnología, Departamento de Química, Universidad de Carabobo, Bárbula, Venezuela, Facultad de Ciencias, Departamento de Física, Universidad del Zulia, Maracaibo, Venezuela, and Facultad de Ciencias, Escuela de Química, Universidad Central de Venezuela, Postgrado, Caracas, Venezuela
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Manghi M, Aubouy M. Interplay of entropic and enthalpic contributions to the surface tension of polymer melts. Adv Colloid Interface Sci 2001. [DOI: 10.1016/s0001-8686(01)00052-5] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Antoniewicz P, Rodriguez R. A model for the low interfacial tension of the hydrocarbon-water-surfactant system. J Colloid Interface Sci 1978. [DOI: 10.1016/0021-9797(78)90367-3] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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LeGrand D, Gaines G. Immiscibility and interfacial tension between polymer liquids: Dependence on molecular weight. J Colloid Interface Sci 1975. [DOI: 10.1016/0021-9797(75)90230-1] [Citation(s) in RCA: 35] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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