
Jian Qin
Assistant Professor of Chemical Engineering
Bio
Jian Qin is an Assistant Professor in the Department of Chemical Engineering at the Stanford University. His research focuses on development of microscopic understanding of structural and physical properties of soft matters by using a combination of analytical theory, scaling argument, numerical computation, and molecular simulation. He worked as a postdoctoral scholar with Juan de Pablo in the Institute for Molecular Engineering at the University of Chicago and with Scott Milner in the Department of Chemical Engineering at the Pennsylvania State University. He received his Ph.D. in the Department of Chemical Engineering and Materials Science at the University of Minnesota under the supervision of David Morse and Frank Bates. His research covers self-assembly of multi-component polymeric systems, molecular origin of entanglement and polymer melt rheology, coacervation of polyelectrolytes, Coulomb interactions in dielectrically heterogeneous electrolytes, and surface charge polarizations in particulate aggregates in the absence or presence of flow.
Honors & Awards
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Tau Beta Pi Teaching Honor Roll, Stanford Tau Beta Pi Chapter (2020)
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ACS PMSE Young Investigator, ACS PMSE (2020)
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ACS Arthur K. Doolittle Award, ACS PMSE (2019)
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NSF CAREER, National Science Foundation (2019-2023)
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Hellman Faculty Fellow, Hellman Faculty Scholar Fund (2017-2018)
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3M Nontenured Faculty Award, 3M Company (2017)
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Terman Faculty Fellowship, Stanford University (2016-2018)
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Kadanoff-Rice Fellowship, University of Chicago (2013)
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Doctor Dissertation Fellowship, University of Minnesota (2008)
Boards, Advisory Committees, Professional Organizations
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Member, APS (2004 - Present)
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Member, ACS (2016 - Present)
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Member, AIChE (2012 - Present)
Professional Education
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PhD, University of Minnesota (2009)
2020-21 Courses
- Colloquium
CHEMENG 699 (Aut, Win, Spr) - Graduate Practical Training
CHEMENG 299 (Sum) - Molecular Thermodynamics
CHEMENG 340 (Aut) - Special Topics in Soft Matter and Molecular Physics
CHEMENG 522 (Aut, Win, Spr, Sum) -
Independent Studies (6)
- Graduate Research Rotation in Chemical Engineering
CHEMENG 399 (Aut, Win, Sum) - Graduate Research in Chemical Engineering
CHEMENG 600 (Aut, Win, Spr, Sum) - Master's Research
MATSCI 200 (Win, Spr) - Ph.D. Research
MATSCI 300 (Aut, Win, Spr) - Undergraduate Honors Research in Chemical Engineering
CHEMENG 190H (Aut, Win, Spr, Sum) - Undergraduate Research in Chemical Engineering
CHEMENG 190 (Aut, Win, Spr, Sum)
- Graduate Research Rotation in Chemical Engineering
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Prior Year Courses
2019-20 Courses
- Colloquium
CHEMENG 699 (Aut, Win, Spr) - Graduate Practical Training
CHEMENG 299 (Sum) - Molecular Thermodynamics
CHEMENG 340 (Aut) - Multi-Component and Multi-Phase Thermodynamics
CHEMENG 110B (Win) - Special Topics in Soft Matter and Molecular Physics
CHEMENG 522 (Aut, Win, Spr, Sum)
2018-19 Courses
- Colloquium
CHEMENG 699 (Aut, Win, Spr) - Equilibrium Thermodynamics
CHEMENG 110 (Win) - Molecular Thermodynamics
CHEMENG 340 (Aut) - Special Topics in Soft Matter and Molecular Physics
CHEMENG 522 (Aut, Win, Spr, Sum)
2017-18 Courses
- Colloquium
CHEMENG 699 (Win, Sum) - Equilibrium Thermodynamics
CHEMENG 110 (Win) - Molecular Thermodynamics
CHEMENG 340 (Aut) - Polymer Physics
CHEMENG 466 (Spr) - Special Topics in Soft Matter and Molecular Physics
CHEMENG 522 (Aut, Win, Spr, Sum) - The Chemical Engineering Profession
CHEMENG 10 (Aut)
- Colloquium
Stanford Advisees
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Doctoral Dissertation Reader (AC)
Bruno Beltran, Jingwei Shi, Ada Undieh, Yang Wang -
Orals Chair
William Huang, Hansen Wang, David Wu -
Postdoctoral Faculty Sponsor
Xian Kong -
Orals Evaluator
Camila Arantxa Cendra Guinassi -
Doctoral Dissertation Advisor (AC)
Sean Friedowitz, Huada Lian, Wes Michaels -
Doctoral Dissertation Co-Advisor (AC)
Thomas Ludwig, Jason Qin -
Doctoral (Program)
Paul Rudnicki
All Publications
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Dendrite Suppression by a Polymer Coating: A Coarse-Grained Molecular Study
ADVANCED FUNCTIONAL MATERIALS
2020
View details for DOI 10.1002/adfm.201910138
View details for Web of Science ID 000513653700001
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Transient Voltammetry with Ultramicroelectrodes Reveals the Electron Transfer Kinetics of Lithium Metal Anodes
Adv. Energy Lett.
2020; 5: 701-709
View details for DOI 10.1021/acsenergylett.0c00031
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'Chromatic' neuronal jamming in a primitive brain
Nature Physics
2020
View details for DOI 10.1038/s41567-020-0809-9
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Electrochemical generation of liquid and solid sulfur on two-dimensional layered materials with distinct areal capacities
Nature Nanotechnology
2020
View details for DOI 10.1038/s41565-019-0624-6
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Impact of Liquid-Crystalline Chain Alignment on Charge Transport in Conducting Polymers
MACROMOLECULES
2019; 52 (22): 8932–39
View details for DOI 10.1021/acs.macromol.9b01729
View details for Web of Science ID 000500039300040
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Reversible Gelation of Entangled Ionomers
MACROMOLECULES
2019; 52 (22): 8771–80
View details for DOI 10.1021/acs.macromol.9b01116
View details for Web of Science ID 000500039300026
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A Dynamic, Electrolyte-Blocking, and Single-Ion-Conductive Network for Stable Lithium-Metal Anodes
JOULE
2019; 3 (11): 2761–76
View details for DOI 10.1016/j.joule.2019.07.025
View details for Web of Science ID 000497987900018
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Molecular Architecture Directs Linear-Bottlebrush-Linear Triblock Copolymers to Self-Assemble to Soft Reprocessable Elastomers
ACS MACRO LETTERS
2019; 8 (11): 1528–34
View details for DOI 10.1021/acsmacrolett.9b00721
View details for Web of Science ID 000498285200022
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Mechanically resolved imaging of bacteria using expansion microscopy.
PLoS biology
2019; 17 (10): e3000268
Abstract
Imaging dense and diverse microbial communities has broad applications in basic microbiology and medicine, but remains a grand challenge due to the fact that many species adopt similar morphologies. While prior studies have relied on techniques involving spectral labeling, we have developed an expansion microscopy method (muExM) in which bacterial cells are physically expanded prior to imaging. We find that expansion patterns depend on the structural and mechanical properties of the cell wall, which vary across species and conditions. We use this phenomenon as a quantitative and sensitive phenotypic imaging contrast orthogonal to spectral separation to resolve bacterial cells of different species or in distinct physiological states. Focusing on host-microbe interactions that are difficult to quantify through fluorescence alone, we demonstrate the ability of muExM to distinguish species through an in vitro defined community of human gut commensals and in vivo imaging of a model gut microbiota, and to sensitively detect cell-envelope damage caused by antibiotics or previously unrecognized cell-to-cell phenotypic heterogeneity among pathogenic bacteria as they infect macrophages.
View details for DOI 10.1371/journal.pbio.3000268
View details for PubMedID 31622337
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Nonpolar Alkanes Modify Lithium-Ion Solvation for Improved Lithium Deposition and Stripping
ADVANCED ENERGY MATERIALS
2019
View details for DOI 10.1002/aenm.201902116
View details for Web of Science ID 000487515200001
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TCR-pMHC bond conformation controls TCR ligand discrimination.
Cellular & molecular immunology
2019
Abstract
A major unanswered question is how a TCR discriminates between foreign and self-peptides presented on the APC surface. Here, we used in situ fluorescence resonance energy transfer (FRET) to measure the distances of single TCR-pMHC bonds and the conformations of individual TCR-CD3zeta receptors at the membranes of live primaryT cells. We found that a TCR discriminates between closely related peptides by forming single TCR-pMHC bonds with different conformations, and the most potent pMHC forms the shortest bond. The bond conformation is an intrinsic property that is independent of the binding affinityandkinetics, TCR microcluster formation, and CD4 binding. The bond conformation dictates the degree of CD3zeta dissociation from the inner leaflet of the plasma membrane via a positive calcium signaling feedback loop to precisely control the accessibility of CD3zeta ITAMs for phosphorylation. Our data revealed the mechanism by which a TCR deciphers the structural differences among peptides via the TCR-pMHC bond conformation.
View details for DOI 10.1038/s41423-019-0273-6
View details for PubMedID 31530899
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Ultrathin, flexible, solid polymer composite electrolyte enabled with aligned nanoporous host for lithium batteries.
Nature nanotechnology
2019
Abstract
The urgent need for safer batteries is leading research to all-solid-state lithium-based cells. To achieve energy density comparable to liquid electrolyte-based cells, ultrathin and lightweight solid electrolytes with high ionic conductivity are desired. However, solid electrolytes with comparable thicknesses to commercial polymer electrolyte separators (~10mum) used in liquid electrolytes remain challenging to make because of the increased risk of short-circuiting the battery. Here, we report on a polymer-polymer solid-state electrolyte design, demonstrated with an 8.6-mum-thick nanoporous polyimide (PI) film filled with polyethylene oxide/lithium bis(trifluoromethanesulfonyl)imide (PEO/LiTFSI) that can be used as a safe solid polymer electrolyte. The PI film is nonflammable and mechanically strong, preventing batteries from short-circuiting even after more than 1,000h of cycling, and the vertical channels enhance the ionic conductivity (2.3*10-4Scm-1 at 30°C) of the infused polymer electrolyte. All-solid-state lithium-ion batteries fabricated with PI/PEO/LiTFSI solid electrolyte show good cycling performance (200 cycles at C/2 rate) at 60°C and withstand abuse tests such as bending, cutting and nail penetration.
View details for DOI 10.1038/s41565-019-0465-3
View details for PubMedID 31133663
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Tunable Coacervation of Well-Defined Homologous Polyanions and Polycations by Local Polarity
ACS CENTRAL SCIENCE
2019; 5 (3): 549–57
Abstract
The ionic complexation of polyelectrolytes is an important mechanism underlying many important biological processes and technical applications. The main driving force for complexation is electrostatic, which is known to be affected by the local polarity near charge centers, but the impact of which on the complexation of polyelectrolytes remains poorly explored. We developed a homologous series of well-defined polyelectrolytes with identical backbone structures, controlled molecular weights, and tunable local polarity to modulate the solvation environment near charged groups. A multitude of systematic, accurate phase diagrams were obtained by spectroscopic measurements of polymer concentrations via fluorescent labeling of polycations. These phase diagrams unambiguously revealed that the liquidlike coacervation is more stable against salt addition at reduced local polarity over a wide range of molecular weights. These trends were quantitatively captured by a theory of complexation that incorporates the effects of dispersion interactions, charge connectivity, and reversible ion-binding, providing the microscopic design rules for tuning molecular parameters and local polarity.
View details for PubMedID 30937382
View details for PubMedCentralID PMC6439447
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Charge polarization near dielectric interfaces and the multiple-scattering formalism
SOFT MATTER
2019; 15 (10): 2125–34
Abstract
Interfacial charge polarization is ubiquitous in systems with sharp dielectric contrast. Fully resolving the interfacial charges often relies on demanding numerical algorithms to solve the boundary value problem. The recent development of an analytical multiple-scattering formalism to solve the interfacial charge polarization problem for particles carrying monopolar, dipolar, and multipolar charges is reviewed. Every term produced in this formalism has a simple interpretation, and terms for spherical particles can be rapidly evaluated using an image-line construction. Several practical applications of this formalism are illustrated. A dielectric virial expansion for polarizable particles based on this formalism is also described. The origins of singular polarization charges for particles in close contact are explained and evaluated for both dielectric and conducting spheres.
View details for DOI 10.1039/c8sm02196a
View details for Web of Science ID 000460596900002
View details for PubMedID 30762054
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Self-healing of electrical damage in polymers using superparamagnetic nanoparticles
NATURE NANOTECHNOLOGY
2019; 14 (2): 151-+
View details for DOI 10.1038/s41565-018-0327-4
View details for Web of Science ID 000457765800017
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Ion distribution in microphase-separated copolymers with periodic dielectric permittivity
Macromolecules
2018; 51: 1986
View details for DOI 10.1021/acs.macromol.7b02508
- Solvation and entropic regimes in ion-containing block copolymers Macromolecules 2018; 51: 7463
- Role of electrostatic correlations in polyelectrolyte charge association Journal of Chemical Physics 2018; 149: 163335
- Dielectric virial expansion of polarizable dipolar spheres Journal of Chemical Physics 2018; 149: 163332
- Crosslinked poly(tetrahydrofuran) as a loosely-coordinating solid polymer electrolyte Advanced Energy Materials 2018
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Polarization energy of two charged dielectric spheres in close contact
Molecular Systems Design & Engineering
2018; 3: 197
View details for DOI 10.1039/C7ME00105C
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Tuning precursor reactivity towards nanometer-size control in palladium nanoparticles studied by in-situ small angle X-ray scattering
Chemistry of Materials
2018; 30: 1127
View details for DOI 10.1021/acs.chemmater.7b05186
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Field-theoretic simulations of random copolymers with structural rigidity
Soft Matter
2017; 13: 2760
View details for DOI 10.1039/C7SM00164A
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Image method for electrostatic energy of polarizable dipolar spheres
J. Chem. Phys.
2017; 147 (064908)
View details for DOI 10.1063/1.4997620
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High-temperature crystallization of nanocrystals into three-dimensional superlattices
Nature
2017; 548 (197)
View details for DOI 10.1038/nature23308
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Singular electrostatic energy of nanoparticle clusters
PHYSICAL REVIEW E
2016; 93 (2)
Abstract
The binding of clusters of metal nanoparticles is partly electrostatic. We address difficulties in calculating the electrostatic energy when high charging energies limit the total charge to a single quantum, entailing unequal potentials on the particles. We show that the energy at small separation h has a singular logarithmic dependence on h. We derive a general form for this energy in terms of the singular capacitance of two spheres in near contact c(h), together with nonsingular geometric features of the cluster. Using this form, we determine the energies of various clusters, finding that more compact clusters are more stable. These energies are proposed to be significant for metal-semiconductor binary nanoparticle lattices found experimentally. We sketch how these effects should dictate the relative abundances of metal nanoparticle clusters in nonpolar solvents.
View details for DOI 10.1103/PhysRevE.93.022603
View details for Web of Science ID 000369735300005
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Criticality and connectivity in macromolecular charge complexation
Macromolecules
2016; 49 (8789)
View details for DOI 10.1021/acs.macromol.6b02113
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Blending education and polymer science: semiautomated creation of a thermodynamic property database
Journal of Chemical Education
2016; 93 (1561)
View details for DOI 10.1021/acs.jchemed.5b01032
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An O(N) and parallel approach to integral problems by a kernel-independent fast multipole method: Application to polarization and magnetization of interacting particles
Journal of Chemical Physics
2016; 145 (064307)
View details for DOI 10.1063/1.4960436
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Broadly accessible self-consistent field theory for block polymer materials discovery
Macromolecules
2016
View details for DOI 10.1021/acs.macromol.6b00107
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Ordering transition in salt-doped diblock copolymers
Macromolecules
2016; 49: 3630-3638
View details for DOI 10.1021/acs.macromol.5b02643
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Tube dynamics works for randomly entangled rings
PHYSICAL REVIEW LETTERS
2016; 116: 068307
View details for DOI 10.1103/PhysRevLett.116.068307
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A theory of interactions between polarizable dielectric spheres
JOURNAL OF COLLOID & INTERFACE SCIENCE
2016; 469: 237
View details for DOI 10.1016/j.jcis.2016.02.033
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A Hybrid Human-computer Approach to the Extraction of Scientific Facts from the Literature
Procedia Computer Science
2016; 80: 386
View details for DOI 10.1016/j.procs.2016.05.338
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Image method for induced surface charge from many-body system of dielectric spheres
Journal of Chemical Physics
2016; 145 (124903)
View details for DOI 10.1063/1.4962832
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Sculpting bespoke mountains: Determining free energies with basis expansions
JOURNAL OF CHEMICAL PHYSICS
2015; 143 (4)
Abstract
The intriguing behavior of a wide variety of physical systems, ranging from amorphous solids or glasses to proteins, is a direct manifestation of underlying free energy landscapes riddled with local minima separated by large barriers. Exploring such landscapes has arguably become one of statistical physics's great challenges. A new method is proposed here for uniform sampling of rugged free energy surfaces. The method, which relies on special Green's functions to approximate the Dirac delta function, improves significantly on existing simulation techniques by providing a boundary-agnostic approach that is capable of mapping complex features in multidimensional free energy surfaces. The usefulness of the proposed approach is established in the context of a simple model glass former and model proteins, demonstrating improved convergence and accuracy over existing methods.
View details for DOI 10.1063/1.4927147
View details for Web of Science ID 000358929100007
View details for PubMedID 26233101
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Finding Entanglement Points in Simulated Polymer Melts
MACROMOLECULES
2015; 48 (1): 99-110
View details for DOI 10.1021/ma5010315
View details for Web of Science ID 000348085600012
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Chirality-selected phase behaviour in ionic polypeptide complexes
NATURE COMMUNICATIONS
2015; 6
Abstract
Polyelectrolyte complexes present new opportunities for self-assembled soft matter. Factors determining whether the phase of the complex is solid or liquid remain unclear. Ionic polypeptides enable examination of the effects of stereochemistry on complex formation. Here we demonstrate that chirality determines the state of polyelectrolyte complexes, formed from mixing dilute solutions of oppositely charged polypeptides, via a combination of electrostatic and hydrogen-bonding interactions. Fluid complexes occur when at least one of the polypeptides in the mixture is racemic, which disrupts backbone hydrogen-bonding networks. Pairs of purely chiral polypeptides, of any sense, form compact, fibrillar solids with a β-sheet structure. Analogous behaviour occurs in micelles formed from polypeptide block copolymers with polyethylene oxide, where assembly into aggregates with either solid or fluid cores, and eventually into ordered phases at high concentrations, is possible. Chirality is an exploitable tool for manipulating material properties in polyelectrolyte complexation.
View details for DOI 10.1038/ncomms7052
View details for Web of Science ID 000348830100006
View details for PubMedID 25586861
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Tubes, Topology, and Polymer Entanglement
MACROMOLECULES
2014; 47 (17): 6077-6085
View details for DOI 10.1021/ma500755p
View details for Web of Science ID 000341542900023
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Evolutionary Optimization of Directed Self-Assembly of Triblock Copolymers on Chemically Patterned Substrates
ACS MACRO LETTERS
2014; 3 (8): 747-752
View details for DOI 10.1021/mz5002349
View details for Web of Science ID 000340701900011
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Interfacial Tension of Polyelectrolyte Complex Coacervate Phases
ACS MACRO LETTERS
2014; 3 (6): 565-568
View details for DOI 10.1021/mz500190w
View details for Web of Science ID 000337644500015
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Simulating Constraint Release by Watching a Ring Cross Itself
MACROMOLECULES
2014; 47 (7): 2479-2486
View details for DOI 10.1021/ma500325z
View details for Web of Science ID 000338807300034
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Ternary, tunable polyelectrolyte complexes driven by complex coacervation
247th National Spring Meeting of the American-Chemical-Society (ACS)
AMER CHEMICAL SOC. 2014
View details for Web of Science ID 000348457604250
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Collective and Single-Chain Correlations in Disordered Melts of Symmetric Diblock Copolymers: Quantitative Comparison of Simulations and Theory
MACROMOLECULES
2014; 47 (2): 851-869
View details for DOI 10.1021/ma401694u
View details for Web of Science ID 000330543500043
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Tube Diameter of Oriented and Stretched Polymer Melts
MACROMOLECULES
2013; 46 (4): 1659-1672
View details for DOI 10.1021/ma302095k
View details for Web of Science ID 000315618800046
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Evolutionary pattern design for copolymer directed self-assembly
SOFT MATTER
2013; 9 (48): 11467-11472
View details for DOI 10.1039/c3sm51971f
View details for Web of Science ID 000327500200005
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Tube Diameter of Stretched and Compressed Permanently Entangled Polymers
MACROMOLECULES
2012; 45 (24): 9816-9822
View details for DOI 10.1021/ma301830w
View details for Web of Science ID 000312563900028
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Effects of tube persistence length on dynamics of mildly entangled polymers
JOURNAL OF RHEOLOGY
2012; 56 (4): 707-723
View details for DOI 10.1122/1.4708594
View details for Web of Science ID 000304305700004
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Fluctuations in Symmetric Diblock Copolymers: Testing Theories Old and New
PHYSICAL REVIEW LETTERS
2012; 108 (23)
Abstract
Computer simulations are used to study composition fluctuations in disordered diblock copolymer melts over a range of values of the chain length N, and test several theories for the structure factor S(q). Specifically, we test the random-phase approximation (RPA), which is based on a self-consistent field treatment of fluctuations, the Fredrickson-Helfand theory, which was designed to describe fluctuations near the order-disorder transition, and the relatively new renormalized one-loop (ROL) theory. The results confirm claims that the RPA is exact in the limit N→∞ and that the ROL theory yields the dominant corrections to the RPA within a systematic expansion in powers of N(-1/2), and show that the ROL theory is much more accurate than either older theory.
View details for DOI 10.1103/PhysRevLett.108.238301
View details for Web of Science ID 000304855900012
View details for PubMedID 23003999
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Test of a scaling hypothesis for the structure factor of disordered diblock copolymer melts
SOFT MATTER
2012; 8 (44): 11310-11317
View details for DOI 10.1039/c2sm26536b
View details for Web of Science ID 000310829600013
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Finding the Tube with Isoconfigurational Averaging
MACROMOLECULES
2011; 44 (22): 8972-8980
View details for DOI 10.1021/ma2012333
View details for Web of Science ID 000296893400032
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Renormalized one-loop theory of correlations in disordered diblock copolymers
JOURNAL OF CHEMICAL PHYSICS
2011; 135 (8)
Abstract
A renormalized one-loop (ROL) theory developed in previous work [P. Grzywacz, J. Qin, and D. C. Morse, Phys. Rev E. 76, 061802 (2007)] is used to calculate corrections to the random phase approximation (RPA) for the structure factor S(q) in disordered diblock copolymer melts. Predictions are given for the peak intensity S(q∗), peak position q∗, and single-chain statistics for symmetric and asymmetric copolymers as functions of χ(e)N, where χ(e) is an effective Flory-Huggins interaction parameter and N is the degree of polymerization. The ROL and Fredrickson-Helfand (FH) theories are found to yield asymptotically equivalent results for the dependence of the peak intensity S(q∗) upon χ(e)N for symmetric diblock copolymers in the limit of strong scattering, or large χ(e)N, but to yield qualitatively different predictions for symmetric copolymers far from the ODT and for asymmetric copolymers. The ROL theory predicts a suppression of S(q∗) and a decrease of q∗ for large values of χ(e)N, relative to the RPA predictions, but an enhancement of S(q∗) and an increase in q∗ for small χ(e)N. The decrease in q∗ near the ODT is shown to be unrelated to any change in single-chain statistics, and to be a result of inter-molecular correlations. Conversely, the predicted increase in q∗ at small values of χ(e)N is a direct result of non-Gaussian single-chain statistics.
View details for DOI 10.1063/1.3609758
View details for Web of Science ID 000294484700072
View details for PubMedID 21895217
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Relationships among coarse-grained field theories of fluctuations in polymer liquids
JOURNAL OF CHEMICAL PHYSICS
2011; 134 (8)
Abstract
Two closely related field-theoretic approaches have been used in previous work to construct coarse-grained theories of corrections to the random phase approximation for correlations in block copolymer melts and miscible polymer blends. The "auxiliary field" (AF) approach is based on a rigorous expression for the partition function Z of a coarse-grained model as a functional integral of an auxiliary chemical potential field. The "effective Hamiltonian" (EH) approach is instead based on an expression for Z as a functional integral of an observable order parameter field. The exact effective Hamiltonian H(eff) in the EH approach is defined as the free energy of a system with a constrained order parameter field. In practice, however, H(eff) has often been approximated by a mean-field free energy functional, yielding what we call a mean-field effective Hamiltonian (MFEH) approximation. This approximation was the starting point of both the Fredrickson-Helfand analysis of fluctuation effects in diblock copolymers and earlier work on the Ginzburg criterion in polymer blends. A more rigorous EH approach by Holyst and Vilgis used an auxiliary field representation of the exact H(eff) and allowed for Gaussian fluctuations of this field. All applications of both AF and EH approaches have thus far relied upon some form of Gaussian, or "one-loop" approximation for fluctuations of a chemical potential and/or order parameter field about a mean-field saddle-point. The one-loop EH approximation of Holyst and Vilgis and the one-loop AF theory are equivalent to one another, but not to the one-loop MFEH theory. The one-loop AF and MFEH theories are shown to yield predictions for the inverse structure factor S(-1)(q) that (in the absence of further approximations to either theory) differ by a function that is independent of the Flory-Huggins interaction parameter χ. As a result, these theories yield predictions for the peak scattering intensity that exhibit a similar χ-dependence near a spinodal. The Fredrickson-Helfand theory for the structure factor in disordered diblock copolymer melts is an asymptotic approximation to the MFEH one-loop theory that captures the dominant asymptotic behavior of very long, symmetric copolymers very near the order-disorder transition.
View details for DOI 10.1063/1.3548888
View details for Web of Science ID 000287811300037
View details for PubMedID 21361554
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Counting polymer knots to find the entanglement length
SOFT MATTER
2011; 7 (22): 10676-10693
View details for DOI 10.1039/c1sm05972f
View details for Web of Science ID 000296388300025
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Phase Behavior of Nonfrustrated ABC Triblock Copolymers: Weak and Intermediate Segregation
MACROMOLECULES
2010; 43 (11): 5128-5136
View details for DOI 10.1021/ma100400q
View details for Web of Science ID 000278109700037
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Polydispersity effects in poly(isoprene-b-styrene-b-ethylene oxide) triblock terpolymers
JOURNAL OF CHEMICAL PHYSICS
2009; 130 (23)
Abstract
Four hydroxyl-terminated poly(isoprene-b-styrene) diblock copolymers with comparable molecular weights and compositions (equivalent volume fractions of polyisoprene and polystyrene) but different polystyrene block polydispersity indices (M(w)/M(n)=1.06,1.16,1.31,1.44) were synthesized by anionic polymerization using either sec-butyllithium or the functional organolithium 3-triisopropylsilyloxy-1-propyllithium. Poly(ethylene oxide) (PEO) blocks were grown from the end of each of these parent diblocks to yield four series of poly(isoprene-b-styrene-b-ethylene oxide) (ISO) triblock terpolymers that were used to interrogate the effects of varying the polydispersity of the middle bridged polystyrene block. In addition to the neat triblock samples, 13 multicomponent blends were prepared at four different compositions from the ISO materials containing a polystyrene segment with M(w)/M(n)=1.06; these blends were used to probe the effects of increasing the polydispersity of the terminal PEO block. The melt-phase behavior of all samples was characterized using small-angle X-ray scattering and dynamic mechanical spectroscopy. Numerous polydispersity-driven morphological transitions are reported, including transitions from lamellae to core-shell gyroid, from core-shell gyroid to hexagonally packed cylinders, and from network morphologies [either O(70) (the orthorhombic Fddd network) or core-shell gyroid] to lamellae. Domain periodicities and order-disorder transition temperatures also vary with block polydispersities. Self-consistent field theory calculations were performed to supplement the experimental investigations and help elucidate the molecular factors underlying the polydispersity effects. The consequences of varying the polydispersity of the terminal PEO block are comparable to the polydispersity effects previously reported in AB diblock copolymers. Namely, domain periodicities increase with increasing polydispersity and domain interfaces tend to curve toward polydisperse blocks. The changes in phase behavior that are associated with variations in the polydispersity of the middle bridged polystyrene block, however, are not analogous to those reported in AB diblock copolymers, as increases in this middle block polydispersity are not always accompanied by (i) increased domain periodicities and (ii) a tendency for domain interfaces to curve toward the polydisperse domain. These results highlight the utility of polydispersity as a tool to tune the phase behavior of ABC block terpolymers.
View details for DOI 10.1063/1.3140205
View details for Web of Science ID 000267166200053
View details for PubMedID 19548752
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Renormalized one-loop theory of correlations in polymer blends
JOURNAL OF CHEMICAL PHYSICS
2009; 130 (22)
Abstract
The renormalized one-loop theory is a coarse-grained theory of corrections to the random phase approximation (RPA) theory of composition fluctuations. We present predictions of corrections to the RPA for the structure function S(k) and to the random walk model of single-chain statics in binary homopolymer blends. We consider an apparent interaction parameter chi(a) that is defined by applying the RPA to the small k limit of S(k). The predicted deviation of chi(a) from its long chain limit is proportional to N(-1/2), where N is the chain length. This deviation is positive (i.e., destabilizing) for weakly nonideal mixtures, with chi(a)N less than or approximately 1, but negative (stabilizing) near the critical point. The positive correction to chi(a) for low values of chi(a)N is a result of the fact that monomers in mixtures of shorter chains are slightly less strongly shielded from intermolecular contacts. The predicted depression in chi(a) near the critical point is a result of long-wavelength composition fluctuations. The one-loop theory predicts a shift in the critical temperature of O(N(-1/2)), which is much greater than the predicted O(N(-1)) width of the Ginzburg region. Chain dimensions are found to deviate slightly from those of a random walk even in a one-component melt and contract slightly as thermodynamic repulsion is increased. Predictions for S(k) and single-chain properties are compared to published lattice Monte Carlo simulations.
View details for DOI 10.1063/1.3124799
View details for Web of Science ID 000266968800031
View details for PubMedID 19530784
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Bicontinuous Polymeric Microemulsions from Polydisperse Diblock Copolymers
JOURNAL OF PHYSICAL CHEMISTRY B
2009; 113 (12): 3726-3737
Abstract
Polymeric bicontinuous microemulsions are thermodynamically stable structures typically formed by ternary blends of immiscible A and B homopolymers and a macromolecular surfactant such as an AB diblock copolymer. Investigations of these bicontinuous morphologies have largely focused on model systems in which all components have narrow molecular weight distributions. Here we probe the effects of AB diblock polydispersity in ternary blends of polystyrene (PS), polyisoprene (PI), and poly(styrene-b-isoprene) (PS-PI). Three series of blends were prepared using the same PS and PI homopolymers; two of them contain nearly monodisperse components while the third includes a polydisperse PS-PI diblock. The PS and PI homopolymers and two of the PS-PI diblocks were prepared by anionic polymerization using sec-butyllithium and have narrow molecular weight distributions. The polydisperse PS-PI diblock was prepared by anionic polymerization using the functional organolithium 3-tert-butyldimethylsilyloxy-1-propyllithium; this diblock has a polydisperse PS block (Mw/Mn = 1.57) and a nearly monodisperse PI block (Mw/Mn < 1.1). The phase behavior of the three series of blends was probed using a combination of dynamic mechanical spectroscopy, small-angle X-ray scattering, and cloud point measurements, and a bicontinuous microemulsion channel was identified in each system. These results prove that monodisperse components are not required to form bicontinuous microemulsions and highlight the utility of polydispersity as a tool to tune polymer blend phase behavior. The random-phase approximation, originally advanced by de Gennes, and self-consistent field theory are used to provide a theoretical supplement to the experimental work. These theories are able to predict the directions of the polydispersity-driven shifts in domain spacing, order-disorder transition temperatures, and the location of the microemulsion channel. Self-consistent field theory is also used in conjunction with the experimental data from a series of nearly monodisperse blends to probe the variations of chi with temperature. A single linear relation of the form chi = alpha/T + beta does not describe chi at all blend compositions. Rather, two separate relations describe chi as a function of temperature; one is obtained from data on the diblock-rich side of the bicontinuous microemulsion channel while the other is obtained from data on the homopolymer-rich side of the channel. The blend morphology, rather than the composition (homopolymer fraction), apparently dictates whether the system is in the "diblock chi" or "homopolymer chi" regime. These results reinforce the notion that a true understanding of chi still eludes the polymer science community.
View details for DOI 10.1021/jp807343b
View details for Web of Science ID 000264348900017
View details for PubMedID 19673066
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Linear response and stability of ordered phases of block copolymer melts
MACROMOLECULES
2008; 41 (3): 942-954
View details for DOI 10.1021/ma0714316
View details for Web of Science ID 000252944900062
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Renormalization of the one-loop theory of fluctuations in polymer blends and diblock copolymer melts
PHYSICAL REVIEW E
2007; 76 (6)
Abstract
Attempts to use coarse-grained molecular theories to calculate corrections to the random-phase approximation (RPA) for correlations in polymer mixtures have been plagued by an unwanted sensitivity to the value of an arbitrary cutoff length, i.e., by an ultraviolet (UV) divergence. We analyze the UV divergence of the inverse structure factor S(-1)(k) predicted by a "one-loop" approximation similar to that used in several previous studies. We consider both miscible homopolymer blends and disordered diblock copolymer melts. We show, in both cases, that all UV divergent contributions can be absorbed into a renormalization of the values of the phenomenological parameters of a generalized self-consistent field theory (SCFT). This observation allows the construction of an UV convergent theory of corrections to SCFT phenomenology. The UV-divergent one-loop contribution to S(-1)(k) is shown to be the sum of (i) a k -independent contribution that arises from a renormalization of the effective chi parameter, (ii) a k-dependent contribution that arises from a renormalization of monomer statistical segment lengths, (iii) a contribution proportional to k(2) that arises from a square-gradient contribution to the one-loop fluctuation free energy, and (iv) a k-dependent contribution that is inversely proportional to the degree of polymerization, which arises from local perturbations in fluid structure near chain ends and near junctions between blocks in block copolymers.
View details for DOI 10.1103/PhysRevE.76.061802
View details for Web of Science ID 000251985600060
View details for PubMedID 18233860
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SCFT study of nonfrustrated ABC triblock copolymer melts
MACROMOLECULES
2007; 40 (13): 4654-4668
View details for DOI 10.1021/ma062778w
View details for Web of Science ID 000247340700040
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