Dodecagonal quasicrystalline order in a diblock copolymer melt

Gillard, Timothy M.; Lee, Sangwoo; Bates, Frank S.

doi:10.1073/pnas.1601692113

Title: Dodecagonal quasicrystalline order in a diblock copolymer melt

Abstract

We report the discovery of a dodecagonal quasicrystalline state (DDQC) in a sphere (micelle) forming poly(isoprene-b-lactide) (IL) diblock copolymer melt, investigated as a function of time following rapid cooling from above the order–disorder transition temperature (T_ODT = 66 °C) using small-angle X-ray scattering (SAXS) measurements. Between T_ODT and the order–order transition temperature T_OOT = 42 °C, an equilibrium body-centered cubic (BCC) structure forms, whereas below T_OOT the Frank–Kasper σ phase is the stable morphology. At T < 40 °C the supercooled disordered state evolves into a metastable DDQC that transforms with time to the σ phase. The times required to form the DDQC and σ phases are strongly temperature dependent, requiring several hours and about 2 d at 35 °C and more than 10 and 200 d at 25 °C, respectively. Remarkably, the DDQC forms only from the supercooled disordered state, whereas the σ phase grows directly when the BCC phase is cooled below T_OOT and vice versa upon heating. A transition in the rapidly supercooled disordered material, from an ergodic liquid-like arrangement of particles to a nonergodic soft glassy-like solid, occurs below ~40 °C, coincident with the temperature associated with the formation of the DDQC. We speculate that thismore »« less

Authors:

Gillard, Timothy M. ^[1]; Lee, Sangwoo ^[2]; Bates, Frank S. ^[1]

Univ. of Minnesota, Minneapolis, MN (United States)
Rensselaer Polytechnic Inst., Troy, NY (United States)

Publication Date:: Tue Apr 26 00:00:00 EDT 2016

Research Org.:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division; National Science Foundation (NSF)

OSTI Identifier:: 1256354

Grant/Contract Number:: AC02-06CH11357; 1104368

Resource Type:: Accepted Manuscript

Journal Name:: Proceedings of the National Academy of Sciences of the United States of America

Additional Journal Information:: Journal Volume: 113; Journal Issue: 19; Journal ID: ISSN 0027-8424

Publisher:: National Academy of Sciences

Country of Publication:: United States

Language:: ENGLISH

Subject:: 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; quasicrystals; Frank–Kasper phases; block polymers

Citation Formats


                    Gillard, Timothy M., Lee, Sangwoo, and Bates, Frank S. Dodecagonal quasicrystalline order in a diblock copolymer melt.  United States: N. p., 2016. 
Web.  doi:10.1073/pnas.1601692113.

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                    Gillard, Timothy M., Lee, Sangwoo, & Bates, Frank S. Dodecagonal quasicrystalline order in a diblock copolymer melt.  United States.  https://doi.org/10.1073/pnas.1601692113

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                    Gillard, Timothy M., Lee, Sangwoo, and Bates, Frank S. Tue .  
"Dodecagonal quasicrystalline order in a diblock copolymer melt".  United States.  https://doi.org/10.1073/pnas.1601692113.  https://www.osti.gov/servlets/purl/1256354.

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@article{osti_1256354,

  title        = {Dodecagonal quasicrystalline order in a diblock copolymer melt},

  author       = {Gillard, Timothy M. and Lee, Sangwoo and Bates, Frank S.},

  abstractNote = {We report the discovery of a dodecagonal quasicrystalline state (DDQC) in a sphere (micelle) forming poly(isoprene-b-lactide) (IL) diblock copolymer melt, investigated as a function of time following rapid cooling from above the order–disorder transition temperature (TODT = 66 °C) using small-angle X-ray scattering (SAXS) measurements. Between TODT and the order–order transition temperature TOOT = 42 °C, an equilibrium body-centered cubic (BCC) structure forms, whereas below TOOT the Frank–Kasper σ phase is the stable morphology. At T < 40 °C the supercooled disordered state evolves into a metastable DDQC that transforms with time to the σ phase. The times required to form the DDQC and σ phases are strongly temperature dependent, requiring several hours and about 2 d at 35 °C and more than 10 and 200 d at 25 °C, respectively. Remarkably, the DDQC forms only from the supercooled disordered state, whereas the σ phase grows directly when the BCC phase is cooled below TOOT and vice versa upon heating. A transition in the rapidly supercooled disordered material, from an ergodic liquid-like arrangement of particles to a nonergodic soft glassy-like solid, occurs below ~40 °C, coincident with the temperature associated with the formation of the DDQC. We speculate that this stiffening reflects the development of particle clusters with local tetrahedral or icosahedral symmetry that seed growth of the temporally transient DDQC state. Here, this work highlights extraordinary opportunities to uncover the origins and stability of aperiodic order in condensed matter using model block polymers.},

  doi          = {10.1073/pnas.1601692113},

  journal      = {Proceedings of the National Academy of Sciences of the United States of America},

  number       = 19,

  volume       = 113,

  place        = {United States},

  year         = {Tue Apr 26 00:00:00 EDT 2016},

  month        = {Tue Apr 26 00:00:00 EDT 2016}

}

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Origins of low-symmetry phases in asymmetric diblock copolymer melts

Journal Article Kim, Kyungtae ; Arora, Akash ; Lewis, III, Ronald M. ; ... - Proceedings of the National Academy of Sciences of the United States of America

Cooling disordered compositionally asymmetric diblock copolymers leads to the formation of nearly spherical particles, each containing hundreds of molecules, which crystallize upon cooling below the order–disorder transition temperature (T_ODT). Self-consistent field theory (SCFT) reveals that dispersity in the block degrees of polymerization stabilizes various Frank–Kasper phases, including the C14 and C15 Laves phases, which have been accessed experimentally in low-molar-mass poly(isoprene)-b-poly(lactide) (PI-PLA) diblock copolymers using thermal processing strategies. Heating and cooling a specimen containing 15% PLA above and below the TODT from the body-centered cubic (BCC) or C14 states regenerates the same crystalline order established at lower temperatures. This memorymore »« less
Cited by 78
https://doi.org/10.1073/pnas.1717850115

Full Text Available
Dynamics of a Supercooled Disordered Sphere-Forming Diblock Copolymer as Determined by X-ray Photon Correlation and Dynamic Mechanical Spectroscopies

Journal Article Lewis, III, Ronald M. ; Beech, Haley K. ; Jackson, Grayson L. ; ... - ACS Macro Letters

Here, 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 (T_ODT = 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 < T_ODT. 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 weremore »« less
Cited by 5
https://doi.org/10.1021/acsmacrolett.8b00740

Full Text Available
Dodecagonal Quasicrystalline Morphology in a Poly(styrene-b-isoprene-b-styrene-b-ethylene oxide) Tetrablock Terpolymer

Journal Article Zhang, Jingwen ; Bates, Frank S - J. Am. Chem. Soc.

A dodecagonal quasicrystalline (QC) morphology is identified in a poly(styrene-b-isoprene-b-styrene-b-ethylene oxide) (SISO) tetrablock terpolymer based on evidence provided by transmission electron microscopy (TEM), small-angle X-ray scattering, and dynamic mechanical spectroscopy measurements. The QC state occurs at temperatures between those associated with simple hexagonal order (HEX) and the {sigma}-phase (P4{sub 2}/mnm), T{sub HEX} < T{sub QC} < T{sub {sigma}} < T{sub ODT}, where T{sub ODT} is the order-disorder transition temperature. All three morphologies are formed from spherical domains containing an O core surrounded by a shell of S that screens unfavorable segment-segment interactions with an I-rich matrix. TEM analysis reveals amore »« less
https://doi.org/10.1021/ja301770v
Cornucopia of Nanoscale Ordered Phases in Sphere-Forming Tetrablock Terpolymers

Journal Article Chanpuriya, Siddharth ; Kim, Kyungtae ; Zhang, Jingwen ; ... - ACS Nano

In this paper, we report the phase behavior of a series of poly(styrene)-b-poly(isoprene)-b-poly(styrene)'-b-poly(ethylene oxide) (SIS'O) tetrablock terpolymers. This study was motivated by self-consistent field theory (SCFT) calculations that anticipate a rich array of sphere-forming morphologies with variations in the molecular symmetry parameter τ = N_S/(N_S + N_S'), where N is the block degree of polymerization and the volume fraction of O is less than about 0.22. Eight SIS'O samples, with τ ranging from 0.21 to 0.73, were synthesized and investigated using small-angle X-ray scattering and transmission electron microscopy, yielding evidence of nine different spherical phases: hexagonal, FCC, HCP, BCC, rhombohedralmore »« less
Cited by 86
https://doi.org/10.1021/acsnano.6b00495

Full Text Available
Rapid Phase Transitions of Thermotropic Glycolipid Quasicrystal and Frank‐Kasper Mesophases: A Mechanistic Rosetta Stone

Journal Article Wentz, Charlotte M. ; Lachmayr, Kätchen K. ; Tsai, Esther H. R. ; ... - Angewandte Chemie

Abstract Experimental results are presented that serve to lower the barrier for developing the science and technology of non‐classical thermotropic glycolipid mesophases, which now include dodecagonal quasicrystal (DDQC) and Frank–Kasper (FK) A15 and σ mesophases that can be produced under mild conditions from a versatile class of sugar‐polyolefin conjugates. By employing “alloys” comprised of mono‐ and disaccharide‐polyolefin conjugates, and optionally with vitamin E as a small molecule phase modulator, we report the spontaneous formation of stable A15 mesophases at ambient temperature. We further document a rich thermotropic phase map that includes DDQC, A15, and σ mesophases of tunable periodicity thatmore »« less
https://doi.org/10.1002/ange.202302739

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Title: Dodecagonal quasicrystalline order in a diblock copolymer melt

Abstract

Citation Formats

How do Quasicrystals Grow? journal, December 2007

Metallic Phase with Long-Range Orientational Order and No Translational Symmetry journal, November 1984

Formation of a dodecagonal quasicrystalline phase in a simple monatomic liquid journal, May 1993

Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry journal, January 2011

Fluctuation effects in the theory of microphase separation in block copolymers journal, July 1987

Self-Assembly of Dendronized Triphenylenes into Helical Pyramidal Columns and Chiral Spheres journal, June 2009

Self-Diffusion and Tracer Diffusion in Sphere-Forming Block Copolymers journal, September 2003

Multiblock Polymers: Panacea or Pandora's Box? journal, April 2012

Connection between Polymer Molecular Weight, Density, Chain Dimensions, and Melt Viscoelastic Properties journal, August 1994

Dodecagonal Quasicrystalline Morphology in a Poly(styrene- b -isoprene- b -styrene- b -ethylene oxide) Tetrablock Terpolymer journal, April 2012

Roles of icosahedral and crystal-like order in the hard spheres glass transition journal, January 2012

Dodecagonal tiling in mesoporous silica journal, July 2012

Domain size equilibration in sphere-forming block copolymers journal, March 2003

Theory of Microphase Separation in Block Copolymers journal, November 1980

The role of local structure in dynamical arrest text, January 2014

Reversible Kinetics and Thermodynamics of the Homopolymerization of l -Lactide with 2-Ethylhexanoic Acid Tin(II) Salt journal, November 1997

Random Isotropic Structures and Possible Glass Transitions in Diblock Copolymer Melts text, January 2005

The Order−Disorder Transition and the Disordered Micelle Regime in Sphere-Forming Block Copolymer Melts journal, December 2001

How Do Quasicrystals Grow? text, January 2007

Predicting the Structure of Supramolecular Dendrimers via the Analysis of Libraries of AB 3 and Constitutional Isomeric AB 2 Biphenylpropyl Ether Self-Assembling Dendrons journal, December 2009

Quasicrystals: A New Class of Ordered Structures journal, December 1984

The Order−Disorder Transition and the Disordered Micelle Regime for Poly(ethylenepropylene- b -dimethylsiloxane) Spheres journal, December 2002

Thermotropic Transition from a State of Liquid Order to a Macrolattice in Asymmetric Diblock Copolymers journal, February 1996

Supramolecular dendritic liquid quasicrystals journal, March 2004

Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals journal, January 2004

Cubic Phases of Lipid-containing Systems journal, January 1993

Discovery of a Frank-Kasper Phase in Sphere-Forming Block Copolymer Melts journal, October 2010

Block Copolymer Thermodynamics: Theory and Experiment journal, October 1990

Self-assembly of soft-matter quasicrystals and their approximants journal, December 2011

σ Phase Formed in Conformationally Asymmetric AB-Type Block Copolymers journal, August 2014

Supercooled Liquids and Glasses journal, January 1996

Quasicrystalline order in self-assembled binary nanoparticle superlattices journal, October 2009

Jamming phase diagram for attractive particles journal, June 2001

Sphericity and symmetry breaking in the formation of Frank–Kasper phases from one component materials journal, November 2014

Polymeric Quasicrystal: Mesoscopic Quasicrystalline Tiling in A B C Star Polymers journal, May 2007

The role of local structure in dynamical arrest journal, February 2015

Dodecagonal quasicrystal in Mn-based quaternary alloys containing Cr, Ni and Si journal, April 2015

Roles of icosahedral and crystal-like order in hard spheres glass transition text, January 2013

Nature of Disordered Micelles in Sphere-Forming Block Copolymer Melts journal, March 2005

Selective assemblies of giant tetrahedra via precisely controlled positional interactions journal, April 2015

Cubic phases of lipid-containing systems journal, May 1992

Supercooled liquids and the glass transition journal, March 2001

Inverse Pm3̄n cubic micellar lyotropic phases from zwitterionic triazolium gemini surfactants journal, January 2013

Molecular Exchange in Ordered Diblock Copolymer Micelles journal, May 2011

Fluctuations, Order, and Disorder in Short Diblock Copolymers journal, February 2013

Random isotropic structures and possible glass transitions in diblock copolymer melts journal, March 2006

Synthesis and Characterization of Model Polyisoprene−Polylactide Diblock Copolymers journal, July 1999

Jamming is not just cool any more journal, November 1998

The standard Gaussian model for block copolymer melts journal, December 2001

Inflation rules of square-triangle tilings: from approximants to dodecagonal liquid quasicrystals journal, February 2006

Solid-phase structures of the Dzugutov pair potential journal, June 2000

Breaking Parallel Orientation of Rods via a Dendritic Architecture toward Diverse Supramolecular Structures journal, July 2019

Encoding biological recognition in a bicomponent cell-membrane mimic text, January 2019

Losing supramolecular orientational memory via self-organization of a misfolded secondary structure journal, January 2018

Universal hidden order in amorphous cellular geometries text, January 2019

Origins of low-symmetry phases in asymmetric diblock copolymer melts journal, January 2018

Stability of icosahedral quasicrystals in a simple model with two-length scales journal, February 2017

Which Wave Numbers Determine the Thermodynamic Stability of Soft Matter Quasicrystals? journal, October 2019

Conformational Asymmetry and Quasicrystal Approximants in Linear Diblock Copolymers journal, May 2017

An Exceptionally Stable and Scalable Sugar–Polyolefin Frank–Kasper A15 Phase journal, January 2020

Frank-Kasper and related quasicrystal spherical phases in macromolecules journal, December 2017

Rapid One-Step Synthesis of Complex-Architecture Block Polymers Using Inductively “Armed-Disarmed” Monomer Pairs journal, March 2018

Soft self-assembled sub-5 nm scale chessboard and snub-square tilings with oligo( para -phenyleneethynylene) rods journal, January 2019

Universal hidden order in amorphous cellular geometries journal, February 2019

Structure formation in soft nanocolloids: liquid-drop model journal, January 2018

Stability of the Frank–Kasper σ-phase in BABC linear tetrablock terpolymers journal, January 2016

Mechanism of Micelle Birth and Death journal, July 2019

Small‐Molecule Modulation of Soft‐Matter Frank–Kasper Phases: A Method for Adding Function to Form journal, January 2020

A new framework for X-ray photon correlation spectroscopy analysis from polycrystalline materials journal, December 2018

Frank–Kasper Phases Identified in PDMS‐ b ‐PTFEA Copolymers with High Conformational Asymmetry journal, July 2019

Controlling the Periodically Ordered Nanostructures in Ceramics: A Macromolecule‐Guided Strategy journal, November 2019

Small‐Molecule Modulation of Soft‐Matter Frank–Kasper Phases: A Method for Adding Function to Form journal, January 2020

Encoding biological recognition in a bicomponent cell-membrane mimic journal, February 2019

Role of Chain Length in the Formation of Frank-Kasper Phases in Diblock Copolymers journal, November 2018

The Solution of the Puzzle of Smectic-Q: The Phase Structure and the Origin of Spontaneous Chirality journal, January 2018

Geometry induced sequence of nanoscale Frank–Kasper and quasicrystal mesophases in giant surfactants journal, November 2016

Hierarchical complex self-assembly in binary nanoparticle mixtures journal, August 2019

How do Quasicrystals Grow?
journal, December 2007

Metallic Phase with Long-Range Orientational Order and No Translational Symmetry
journal, November 1984

Formation of a dodecagonal quasicrystalline phase in a simple monatomic liquid
journal, May 1993

Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry
journal, January 2011

Fluctuation effects in the theory of microphase separation in block copolymers
journal, July 1987

Self-Assembly of Dendronized Triphenylenes into Helical Pyramidal Columns and Chiral Spheres
journal, June 2009

Self-Diffusion and Tracer Diffusion in Sphere-Forming Block Copolymers
journal, September 2003

Multiblock Polymers: Panacea or Pandora's Box?
journal, April 2012

Connection between Polymer Molecular Weight, Density, Chain Dimensions, and Melt Viscoelastic Properties
journal, August 1994

Dodecagonal Quasicrystalline Morphology in a Poly(styrene- b -isoprene- b -styrene- b -ethylene oxide) Tetrablock Terpolymer
journal, April 2012

Roles of icosahedral and crystal-like order in the hard spheres glass transition
journal, January 2012

Dodecagonal tiling in mesoporous silica
journal, July 2012

Domain size equilibration in sphere-forming block copolymers
journal, March 2003

Theory of Microphase Separation in Block Copolymers
journal, November 1980

The role of local structure in dynamical arrest
text, January 2014

Reversible Kinetics and Thermodynamics of the Homopolymerization of l -Lactide with 2-Ethylhexanoic Acid Tin(II) Salt
journal, November 1997

Random Isotropic Structures and Possible Glass Transitions in Diblock Copolymer Melts
text, January 2005

The Order−Disorder Transition and the Disordered Micelle Regime in Sphere-Forming Block Copolymer Melts
journal, December 2001

How Do Quasicrystals Grow?
text, January 2007

Predicting the Structure of Supramolecular Dendrimers via the Analysis of Libraries of AB ₃ and Constitutional Isomeric AB ₂ Biphenylpropyl Ether Self-Assembling Dendrons
journal, December 2009

Quasicrystals: A New Class of Ordered Structures
journal, December 1984

The Order−Disorder Transition and the Disordered Micelle Regime for Poly(ethylenepropylene- b -dimethylsiloxane) Spheres
journal, December 2002

Thermotropic Transition from a State of Liquid Order to a Macrolattice in Asymmetric Diblock Copolymers
journal, February 1996

Supramolecular dendritic liquid quasicrystals
journal, March 2004

Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals
journal, January 2004

Cubic Phases of Lipid-containing Systems
journal, January 1993

Discovery of a Frank-Kasper Phase in Sphere-Forming Block Copolymer Melts
journal, October 2010

Block Copolymer Thermodynamics: Theory and Experiment
journal, October 1990

Self-assembly of soft-matter quasicrystals and their approximants
journal, December 2011

σ Phase Formed in Conformationally Asymmetric AB-Type Block Copolymers
journal, August 2014

Supercooled Liquids and Glasses
journal, January 1996

Quasicrystalline order in self-assembled binary nanoparticle superlattices
journal, October 2009

Jamming phase diagram for attractive particles
journal, June 2001

Sphericity and symmetry breaking in the formation of Frank–Kasper phases from one component materials
journal, November 2014

Polymeric Quasicrystal: Mesoscopic Quasicrystalline Tiling in $A B C$ Star Polymers
journal, May 2007

The role of local structure in dynamical arrest
journal, February 2015

Dodecagonal quasicrystal in Mn-based quaternary alloys containing Cr, Ni and Si
journal, April 2015

Roles of icosahedral and crystal-like order in hard spheres glass transition
text, January 2013

Nature of Disordered Micelles in Sphere-Forming Block Copolymer Melts
journal, March 2005

Selective assemblies of giant tetrahedra via precisely controlled positional interactions
journal, April 2015

Cubic phases of lipid-containing systems
journal, May 1992

Supercooled liquids and the glass transition
journal, March 2001

Inverse Pm3̄n cubic micellar lyotropic phases from zwitterionic triazolium gemini surfactants
journal, January 2013

Molecular Exchange in Ordered Diblock Copolymer Micelles
journal, May 2011

Fluctuations, Order, and Disorder in Short Diblock Copolymers
journal, February 2013

Random isotropic structures and possible glass transitions in diblock copolymer melts
journal, March 2006

Synthesis and Characterization of Model Polyisoprene−Polylactide Diblock Copolymers
journal, July 1999

Jamming is not just cool any more
journal, November 1998

The standard Gaussian model for block copolymer melts
journal, December 2001

Inflation rules of square-triangle tilings: from approximants to dodecagonal liquid quasicrystals
journal, February 2006

Solid-phase structures of the Dzugutov pair potential
journal, June 2000

Breaking Parallel Orientation of Rods via a Dendritic Architecture toward Diverse Supramolecular Structures
journal, July 2019

Encoding biological recognition in a bicomponent cell-membrane mimic
text, January 2019

Losing supramolecular orientational memory via self-organization of a misfolded secondary structure
journal, January 2018

Universal hidden order in amorphous cellular geometries
text, January 2019

Origins of low-symmetry phases in asymmetric diblock copolymer melts
journal, January 2018

Stability of icosahedral quasicrystals in a simple model with two-length scales
journal, February 2017

Which Wave Numbers Determine the Thermodynamic Stability of Soft Matter Quasicrystals?
journal, October 2019

Conformational Asymmetry and Quasicrystal Approximants in Linear Diblock Copolymers
journal, May 2017

An Exceptionally Stable and Scalable Sugar–Polyolefin Frank–Kasper A15 Phase
journal, January 2020

Frank-Kasper and related quasicrystal spherical phases in macromolecules
journal, December 2017

Rapid One-Step Synthesis of Complex-Architecture Block Polymers Using Inductively “Armed-Disarmed” Monomer Pairs
journal, March 2018

Soft self-assembled sub-5 nm scale chessboard and snub-square tilings with oligo( para -phenyleneethynylene) rods
journal, January 2019

Universal hidden order in amorphous cellular geometries
journal, February 2019

Structure formation in soft nanocolloids: liquid-drop model
journal, January 2018

Stability of the Frank–Kasper σ-phase in BABC linear tetrablock terpolymers
journal, January 2016

Mechanism of Micelle Birth and Death
journal, July 2019

Small‐Molecule Modulation of Soft‐Matter Frank–Kasper Phases: A Method for Adding Function to Form
journal, January 2020

A new framework for X-ray photon correlation spectroscopy analysis from polycrystalline materials
journal, December 2018

Frank–Kasper Phases Identified in PDMS‐ b ‐PTFEA Copolymers with High Conformational Asymmetry
journal, July 2019

Controlling the Periodically Ordered Nanostructures in Ceramics: A Macromolecule‐Guided Strategy
journal, November 2019

Small‐Molecule Modulation of Soft‐Matter Frank–Kasper Phases: A Method for Adding Function to Form
journal, January 2020

Encoding biological recognition in a bicomponent cell-membrane mimic
journal, February 2019

Role of Chain Length in the Formation of Frank-Kasper Phases in Diblock Copolymers
journal, November 2018

The Solution of the Puzzle of Smectic-Q: The Phase Structure and the Origin of Spontaneous Chirality
journal, January 2018

Geometry induced sequence of nanoscale Frank–Kasper and quasicrystal mesophases in giant surfactants
journal, November 2016

Hierarchical complex self-assembly in binary nanoparticle mixtures
journal, August 2019

Regioisomeric Tandem Triblock Shape Amphiphiles Based on Polyhedral Oligomeric Silsesquioxanes
journal, June 2018

Thermal processing of diblock copolymer melts mimics metallurgy
journal, May 2017

Formation pathways of mesoporous silica nanoparticles with dodecagonal tiling
journal, August 2017