1
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Li H, Ladd-Parada M, Karina A, Dallari F, Reiser M, Perakis F, Striker NN, Sprung M, Westermeier F, Grübel G, Steffen W, Lehmkühler F, Amann-Winkel K. Intrinsic Dynamics of Amorphous Ice Revealed by a Heterodyne Signal in X-ray Photon Correlation Spectroscopy Experiments. J Phys Chem Lett 2023; 14:10999-11007. [PMID: 38039400 PMCID: PMC10726389 DOI: 10.1021/acs.jpclett.3c02470] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/03/2023] [Revised: 11/04/2023] [Accepted: 11/28/2023] [Indexed: 12/03/2023]
Abstract
Unraveling the mechanism of water's glass transition and the interconnection between amorphous ices and liquid water plays an important role in our overall understanding of water. X-ray photon correlation spectroscopy (XPCS) experiments were conducted to study the dynamics and the complex interplay between the hypothesized glass transition in high-density amorphous ice (HDA) and the subsequent transition to low-density amorphous ice (LDA). Our XPCS experiments demonstrate that a heterodyne signal appears in the correlation function. Such a signal is known to originate from the interplay of a static component and a dynamic component. Quantitative analysis was performed on this heterodyne signal to extract the intrinsic dynamics of amorphous ice during the HDA-LDA transition. An angular dependence indicates non-isotropic, heterogeneous dynamics in the sample. Using the Stokes-Einstein relation to extract diffusion coefficients, the data are consistent with the scenario of static LDA islands floating within a diffusive matrix of high-density liquid water.
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Affiliation(s)
- Hailong Li
- Max-Planck-Institute
for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany
- State
Key Laboratory of Fine Chemicals, School of Chemical Engineering, Dalian University of Technology, Dalian 116024, China
| | - Marjorie Ladd-Parada
- Department
of Physics, AlbaNova University Center, Stockholm University, Roslagstullsbacken 21, SE-10691 Stockholm, Sweden
- Department
of Chemistry, KTH Royal Institute of Technology, Roslagstullsbacken 21, 11421 Stockholm, Sweden
| | - Aigerim Karina
- Department
of Physics, AlbaNova University Center, Stockholm University, Roslagstullsbacken 21, SE-10691 Stockholm, Sweden
| | - Francesco Dallari
- Deutsches
Elektronen-Synchrotron DESY, Notkestrasse 85, 22607 Hamburg, Germany
| | - Mario Reiser
- Department
of Physics, AlbaNova University Center, Stockholm University, Roslagstullsbacken 21, SE-10691 Stockholm, Sweden
| | - Fivos Perakis
- Department
of Physics, AlbaNova University Center, Stockholm University, Roslagstullsbacken 21, SE-10691 Stockholm, Sweden
| | - Nele N. Striker
- Deutsches
Elektronen-Synchrotron DESY, Notkestrasse 85, 22607 Hamburg, Germany
| | - Michael Sprung
- Deutsches
Elektronen-Synchrotron DESY, Notkestrasse 85, 22607 Hamburg, Germany
| | - Fabian Westermeier
- Deutsches
Elektronen-Synchrotron DESY, Notkestrasse 85, 22607 Hamburg, Germany
| | - Gerhard Grübel
- Deutsches
Elektronen-Synchrotron DESY, Notkestrasse 85, 22607 Hamburg, Germany
- Hamburg
Centre for Ultrafast Imaging, Luruper Chaussee 149, 22761 Hamburg, Germany
- European
X-ray Free-Electron Laser, Holzkoppel 4, 22869 Schenefeld, Germany
| | - Werner Steffen
- Max-Planck-Institute
for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany
| | - Felix Lehmkühler
- Deutsches
Elektronen-Synchrotron DESY, Notkestrasse 85, 22607 Hamburg, Germany
- Hamburg
Centre for Ultrafast Imaging, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - Katrin Amann-Winkel
- Max-Planck-Institute
for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany
- Department
of Physics, AlbaNova University Center, Stockholm University, Roslagstullsbacken 21, SE-10691 Stockholm, Sweden
- Institute
of Physics, Johannes Gutenberg University Mainz, Staudingerweg 7, 55128 Mainz, Germany
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2
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Lewis RM, Jackson GL, Maher MJ, Kim K, Narayanan S, Lodge TP, Mahanthappa MK, Bates FS. Grain Growth and Coarsening Dynamics in a Compositionally Asymmetric Block Copolymer Revealed by X-ray Photon Correlation Spectroscopy. Macromolecules 2020. [DOI: 10.1021/acs.macromol.0c01676] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
| | - Grayson L. Jackson
- Department of Chemistry, University of Wisconsin−Madison, Madison, Wisconsin 53706, United States
| | | | | | - Suresh Narayanan
- Advanced Photon Source, Argonne National Laboratory, Argonne, Illinois 60349, United States
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3
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Lewis RM, Beech HK, Jackson GL, Maher MJ, Kim K, Narayanan S, Lodge TP, Mahanthappa MK, Bates FS. Dynamics of a Supercooled Disordered Sphere-Forming Diblock Copolymer as Determined by X-ray Photon Correlation and Dynamic Mechanical Spectroscopies. ACS Macro Lett 2018; 7:1486-1491. [PMID: 35651236 DOI: 10.1021/acsmacrolett.8b00740] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We report the dynamic behavior of a sphere-forming poly(styrene)-block-poly(1,4-butadiene) (PS-PB) diblock copolymer comprising 20 vol % PB below the order-disorder transition temperature (TODT = 153 °C) using dynamic mechanical spectroscopy (DMS) and X-ray photon correlation spectroscopy (XPCS). A time-temperature transformation diagram was constructed by monitoring the elasticity of the sample as a function of time following rapid quenches of the disordered melt to various temperatures T < TODT. Isothermal frequency spectra acquired prior to nucleation of the ordered BCC phase were time-temperature superposed, and the shift factors were fit using the Williams-Landel-Ferry (WLF) equation. For comparison, XPCS measurements were used to extract relaxation times from the supercooled liquid as a function of the quench temperature. Alignment of the temperature dependence of the XPCS-based relaxation times with that of the WLF shift factors in the range T = 125-140 °C indicates that both techniques probe the fluctuating mesomorphic micelle dynamics mediated by the relaxation modes of individual chains, including interparticle chain exchange. For deeper quench temperatures, TODT - T ≥ 28 °C, departure of the XPCS time constant from WLF behavior is consistent with a jamming transition, analogous to that encountered in concentrated colloidal systems. We postulate that the dominant relaxation mode in the supercooled disordered liquid transitions from ergodic dynamics governed by chain exchange to a nonergodic regime dominated by local rearrangement of micellar particles at T ≈ Terg, where Terg denotes the ergodicity temperature.
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Affiliation(s)
- Ronald M. Lewis
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Haley K. Beech
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Grayson L. Jackson
- Department of Chemistry, University of Wisconsin—Madison, Madison, Wisconsin 53706, United States
| | - Michael J. Maher
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Kyungtae Kim
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Suresh Narayanan
- Advanced Photon Source, Argonne National Laboratory, Argonne, Illinois 60349, United States
| | - Timothy P. Lodge
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
- Department of Chemistry, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Mahesh K. Mahanthappa
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Frank S. Bates
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
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4
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Lewis RM, Jackson GL, Maher MJ, Kim K, Lodge TP, Mahanthappa MK, Narayanan S, Bates FS. A new framework for X-ray photon correlation spectroscopy analysis from polycrystalline materials. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2018; 89:123902. [PMID: 30599637 DOI: 10.1063/1.5051451] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/08/2018] [Accepted: 12/02/2018] [Indexed: 06/09/2023]
Abstract
We report a new analytical framework for interpreting data from X-ray photon correlation spectroscopy measurements on polycrystalline materials characterized by strong scattering intensity variations at fixed wavevector magnitude (i.e., anisotropic scattering). Currently, no analytical method exists for the interpretation of the time-dependent anisotropic scattering from such materials. The framework is applied to interrogate the dynamics of a spherical micelle-forming diblock copolymer melt below the order-disorder transition, wherein finite size grains of a micellar body-centered cubic structure produce anisotropic scattering. A wealth of analytical information is recovered from a simple measurement, including distributions of relaxation times and speeds associated with micelles within grains. The findings of this study demonstrate the efficacy of this new analytical method, which may be readily adapted for application to a variety of materials and systems.
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Affiliation(s)
- Ronald M Lewis
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA
| | - Grayson L Jackson
- Department of Chemistry, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA
| | - Michael J Maher
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA
| | - Kyungtae Kim
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA
| | - Timothy P Lodge
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA
| | - Mahesh K Mahanthappa
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA
| | - Suresh Narayanan
- Advanced Photon Source, Argonne National Laboratory, Argonne, Illinois 60349, USA
| | - Frank S Bates
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, USA
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5
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Oparaji O, Narayanan S, Sandy A, Ramakrishnan S, Hallinan D. Structural Dynamics of Strongly Segregated Block Copolymer Electrolytes. Macromolecules 2018. [DOI: 10.1021/acs.macromol.7b01803] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
Affiliation(s)
- Onyekachi Oparaji
- FAMU-FSU College of Engineering, Florida A&M University−Florida State University, Tallahassee, Florida 32310, United States
- The National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32303, United States
| | - Suresh Narayanan
- Argonne National
Laboratory, Argonne, Illinois 60439, United States
| | - Alec Sandy
- Argonne National
Laboratory, Argonne, Illinois 60439, United States
| | - Subramanian Ramakrishnan
- FAMU-FSU College of Engineering, Florida A&M University−Florida State University, Tallahassee, Florida 32310, United States
- The National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32303, United States
| | - Daniel Hallinan
- FAMU-FSU College of Engineering, Florida A&M University−Florida State University, Tallahassee, Florida 32310, United States
- The National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32303, United States
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6
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Yan T, Schröter K, Herbst F, Binder WH, Thurn-Albrecht T. What Controls the Structure and the Linear and Nonlinear Rheological Properties of Dense, Dynamic Supramolecular Polymer Networks? Macromolecules 2017. [DOI: 10.1021/acs.macromol.6b02507] [Citation(s) in RCA: 59] [Impact Index Per Article: 8.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022]
Affiliation(s)
- Tingzi Yan
- Experimental
Polymer Physics, Institute of Physics,
and ‡Chair of Macromolecular
Chemistry, Institute of Chemistry, Martin Luther University Halle-Wittenberg, Halle 06120, Germany
| | - Klaus Schröter
- Experimental
Polymer Physics, Institute of Physics,
and ‡Chair of Macromolecular
Chemistry, Institute of Chemistry, Martin Luther University Halle-Wittenberg, Halle 06120, Germany
| | - Florian Herbst
- Experimental
Polymer Physics, Institute of Physics,
and ‡Chair of Macromolecular
Chemistry, Institute of Chemistry, Martin Luther University Halle-Wittenberg, Halle 06120, Germany
| | - Wolfgang H. Binder
- Experimental
Polymer Physics, Institute of Physics,
and ‡Chair of Macromolecular
Chemistry, Institute of Chemistry, Martin Luther University Halle-Wittenberg, Halle 06120, Germany
| | - Thomas Thurn-Albrecht
- Experimental
Polymer Physics, Institute of Physics,
and ‡Chair of Macromolecular
Chemistry, Institute of Chemistry, Martin Luther University Halle-Wittenberg, Halle 06120, Germany
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7
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Synchrotron X-ray scattering and photon correlation spectroscopy studies on thin film morphology details and structural changes of an amorphous-crystalline brush diblock copolymer. POLYMER 2016. [DOI: 10.1016/j.polymer.2016.08.004] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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8
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Photon correlation dynamics of unentangled star-shaped poly(ε-caprolactone)s with extremely small branches and its interaction with plasticization in miscible blend system. POLYMER 2016. [DOI: 10.1016/j.polymer.2016.09.033] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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9
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10
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Jang WS, Koo P, Bryson K, Narayanan S, Sandy AR, Russell TP, Mochrie SG. The Static Structure and Dynamics of Cadmium Sulfide Nanoparticles within Poly(styrene-block
-isoprene) Diblock Copolymer Melts. MACROMOL CHEM PHYS 2015. [DOI: 10.1002/macp.201500357] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Woo-Sik Jang
- Department of Physics; Yale University; 217 Prospect Street New Haven CT 06511-8499 USA
| | - Peter Koo
- Department of Physics; Yale University; 217 Prospect Street New Haven CT 06511-8499 USA
| | - Kyle Bryson
- Department of Polymer Science and Engineering; University of Massachusetts Amherst; Silvio O. Conte National Center for Polymer Research; 120 Governors Drive Amherst MA 01003-9263 USA
| | - Suresh Narayanan
- Advanced Photon Source; Argonne National Laboratory; 9700 South Cass Avenue Argonne IL 60439 USA
| | - Alec R. Sandy
- Advanced Photon Source; Argonne National Laboratory; 9700 South Cass Avenue Argonne IL 60439 USA
| | - Thomas P. Russell
- Department of Polymer Science and Engineering; University of Massachusetts Amherst; Silvio O. Conte National Center for Polymer Research; 120 Governors Drive Amherst MA 01003-9263 USA
| | - Simon G. Mochrie
- Department of Physics; Yale University; 217 Prospect Street New Haven CT 06511-8499 USA
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11
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Matsushita A, Okamoto S, Tamura E, Inoue T. BCC Grain Formation Triggered by Miscibility Jump on Temperature Drop. Macromolecules 2015. [DOI: 10.1021/acs.macromol.5b00024] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
Affiliation(s)
- Akifumi Matsushita
- Department
of Materials Science and Engineering, Nagoya Institute of Technology, Gokiso-cho,
Showa-ku, Nagoya, Aichi 466-8555, Japan
| | - Shigeru Okamoto
- Department
of Materials Science and Engineering, Nagoya Institute of Technology, Gokiso-cho,
Showa-ku, Nagoya, Aichi 466-8555, Japan
| | - Eiko Tamura
- Department
of Macromolecular Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka, Osaka 560-0043, Japan
| | - Tadashi Inoue
- Department
of Macromolecular Science, Graduate School of Science, Osaka University, 1-1 Machikaneyama-cho, Toyonaka, Osaka 560-0043, Japan
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12
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Sanz A, Ezquerra TA, Hernández R, Sprung M, Nogales A. Relaxation processes in a lower disorder order transition diblock copolymer. J Chem Phys 2015; 142:064904. [DOI: 10.1063/1.4907722] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Alejandro Sanz
- Instituto de Estructura de la Materia, IEM-CSIC. C/ Serrano 121, Madrid 28006, Spain
| | - Tiberio A. Ezquerra
- Instituto de Estructura de la Materia, IEM-CSIC. C/ Serrano 121, Madrid 28006, Spain
| | - Rebeca Hernández
- Instituto de Ciencia y Tecnología de Polímeros, ICTP-CSIC. C/ Juan de la Cierva 3, Madrid 28006, Spain
| | | | - Aurora Nogales
- Instituto de Estructura de la Materia, IEM-CSIC. C/ Serrano 121, Madrid 28006, Spain
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13
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Dixit N, Pape A, Rong L, Joseph E, Martin SM. Isothermal Microphase Separation Kinetics in Blends of Asymmetric Styrene–Isoprene Block Copolymers. Macromolecules 2015. [DOI: 10.1021/ma501988u] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
| | | | - Lixia Rong
- Louisiana State University, Baton
Rouge, Louisiana 70806, United States
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14
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Dudukovic NA, Zukoski CF. Nanoscale dynamics and aging of fibrous peptide-based gels. J Chem Phys 2014; 141:164905. [DOI: 10.1063/1.4899905] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Nikola A. Dudukovic
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
| | - Charles F. Zukoski
- Department of Chemical and Biological Engineering, University at Buffalo, Buffalo, New York 14222, USA
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15
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Shpyrko OG. X-ray photon correlation spectroscopy. JOURNAL OF SYNCHROTRON RADIATION 2014; 21:1057-64. [PMID: 25177994 DOI: 10.1107/s1600577514018232] [Citation(s) in RCA: 81] [Impact Index Per Article: 8.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/08/2014] [Accepted: 08/08/2014] [Indexed: 05/20/2023]
Abstract
In recent years, X-ray photon correlation spectroscopy (XPCS) has emerged as one of the key probes of slow nanoscale fluctuations, applicable to a wide range of condensed matter and materials systems. This article briefly reviews the basic principles of XPCS as well as some of its recent applications, and discusses some novel approaches to XPCS analysis. It concludes with a discussion of the future impact of diffraction-limited storage rings on new types of XPCS experiments, pushing the temporal resolution to nanosecond and possibly even picosecond time scales.
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Affiliation(s)
- Oleg G Shpyrko
- Department of Physics, University of California San Diego, 9500 Gilman Drive, Mail Code 0319, La Jolla, CA 92093-0319, USA
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16
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He P, Shen W, Yu W, Zhou C. Mesophase Separation and Rheology of Olefin Multiblock Copolymers. Macromolecules 2014. [DOI: 10.1021/ma402330a] [Citation(s) in RCA: 45] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Peng He
- Advanced Rheology Institute, Department
of Polymer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China
| | - Wei Shen
- Advanced Rheology Institute, Department
of Polymer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China
| | - Wei Yu
- Advanced Rheology Institute, Department
of Polymer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China
| | - Chixing Zhou
- Advanced Rheology Institute, Department
of Polymer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China
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17
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Jang WS, Koo P, Sykorsky M, Narayanan S, Sandy A, Mochrie SGJ. The Static and Dynamic Structure Factor of a Diblock Copolymer Melt via Small-Angle X-ray Scattering and X-ray Photon Correlation Spectroscopy. Macromolecules 2013. [DOI: 10.1021/ma4014548] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Woo-Sik Jang
- Deparment
of Physics, Yale University, New Haven, Connecticut 06511, United States
| | - Peter Koo
- Deparment
of Physics, Yale University, New Haven, Connecticut 06511, United States
| | - Marcin Sykorsky
- Linac
Coherent Light Source, Stanford Linear Accelerator Laboratory, Menlo Park, California 94025, United States
| | - Suresh Narayanan
- Advanced
Photon Source, Argonne National Laboratory, Argonne, Illinois 60439, United States
| | - Alec Sandy
- Advanced
Photon Source, Argonne National Laboratory, Argonne, Illinois 60439, United States
| | - Simon G. J. Mochrie
- Deparment
of Physics, Yale University, New Haven, Connecticut 06511, United States
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19
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Burghardt WR, Sikorski M, Sandy AR, Narayanan S. X-ray photon correlation spectroscopy during homogenous shear flow. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 85:021402. [PMID: 22463207 DOI: 10.1103/physreve.85.021402] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/11/2011] [Indexed: 05/31/2023]
Abstract
We report x-ray photon correlation spectroscopy measurements of advective and diffusive dynamics in a dispersion of colloidal particles subjected to homogeneous shear flow in a rotating-disk shear cell. Intensity autocorrelation functions from scattering data collected using homodyne detection respond to the variation in velocity across the scattering volume when the scattering vector has a component parallel to the flow direction. Theoretical expressions for the impact of homogenous shear flow on the correlation function provide a quantitative prediction of the dependence of correlation functions on the scattering vector and shear rate. Under most circumstances, the applied shear deformation dominates the decay of the intensity correlation function. When scattering data are collected perpendicular to the flow direction, it is possible to measure the diffusive dynamics of the particles free from effects of the superimposed shear flow; however, this approach only works below some upper shear rate limit, beyond which data are affected either by shear effects (caused by the finite width of the detector) or by particle transit through the scattering volume.
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Affiliation(s)
- Wesley R Burghardt
- Department of Chemical and Biological Engineering, Northwestern University, Evanston, Illinois 60208, USA.
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