Role of Chain Length in the Formation of Frank-Kasper Phases in Diblock Copolymers

Lewis, Ronald M.; Arora, Akash; Beech, Haley K.; Lee, Bongjoon; Lindsay, Aaron P.; Lodge, Timothy P.; Dorfman, Kevin D.; Bates, Frank S.

doi:10.1103/PhysRevLett.121.208002

Title: Role of Chain Length in the Formation of Frank-Kasper Phases in Diblock Copolymers

Authors:: Lewis, Ronald M.; Arora, Akash; Beech, Haley K.; Lee, Bongjoon; Lindsay, Aaron P.; Lodge, Timothy P.; Dorfman, Kevin D.; Bates, Frank S.

Publication Date:: Wed Nov 14 00:00:00 EST 2018

Sponsoring Org.:: USDOE

OSTI Identifier:: 1482158

Grant/Contract Number:: 0960140

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Name: Physical Review Letters Journal Volume: 121 Journal Issue: 20; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Citation Formats


                    Lewis, Ronald M., Arora, Akash, Beech, Haley K., Lee, Bongjoon, Lindsay, Aaron P., Lodge, Timothy P., Dorfman, Kevin D., and Bates, Frank S. Role of Chain Length in the Formation of Frank-Kasper Phases in Diblock Copolymers.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevLett.121.208002.

Copy to clipboard


                    Lewis, Ronald M., Arora, Akash, Beech, Haley K., Lee, Bongjoon, Lindsay, Aaron P., Lodge, Timothy P., Dorfman, Kevin D., & Bates, Frank S. Role of Chain Length in the Formation of Frank-Kasper Phases in Diblock Copolymers.  United States.  https://doi.org/10.1103/PhysRevLett.121.208002

Copy to clipboard


                    Lewis, Ronald M., Arora, Akash, Beech, Haley K., Lee, Bongjoon, Lindsay, Aaron P., Lodge, Timothy P., Dorfman, Kevin D., and Bates, Frank S. Wed .  
"Role of Chain Length in the Formation of Frank-Kasper Phases in Diblock Copolymers".  United States.  https://doi.org/10.1103/PhysRevLett.121.208002.

Copy to clipboard


                    
@article{osti_1482158,

  title        = {Role of Chain Length in the Formation of Frank-Kasper Phases in Diblock Copolymers},

  author       = {Lewis, Ronald M. and Arora, Akash and Beech, Haley K. and Lee, Bongjoon and Lindsay, Aaron P. and Lodge, Timothy P. and Dorfman, Kevin D. and Bates, Frank S.},

  abstractNote = {},

  doi          = {10.1103/PhysRevLett.121.208002},

  journal      = {Physical Review Letters},

  number       = 20,

  volume       = 121,

  place        = {United States},

  year         = {Wed Nov 14 00:00:00 EST 2018},

  month        = {Wed Nov 14 00:00:00 EST 2018}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.121.208002

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 32 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

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

Lee, Sangwoo; Leighton, Chris; Bates, Frank S.
Proceedings of the National Academy of Sciences, Vol. 111, Issue 50
DOI: 10.1073/pnas.1408678111

Correlations in Disordered Melts of Asymmetric Diblock Copolymers
journal, March 2018

Ghasimakbari, Taher; Morse, David C.
Macromolecules, Vol. 51, Issue 6
DOI: 10.1021/acs.macromol.7b02744

Universality of Block Copolymer Melts
journal, August 2014

Glaser, Jens; Medapuram, Pavani; Beardsley, Thomas M.
Physical Review Letters, Vol. 113, Issue 6
DOI: 10.1103/PhysRevLett.113.068302

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

Yue, Kan; Huang, Mingjun; Marson, Ryan L.
Proceedings of the National Academy of Sciences, Vol. 113, Issue 50
DOI: 10.1073/pnas.1609422113

Conformational Asymmetry in Poly(vinylcyclohexane) Containing Diblock Copolymers
journal, June 1994

Gehlsen, Mark D.; Bates, Frank S.
Macromolecules, Vol. 27, Issue 13
DOI: 10.1021/ma00091a024

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

Fetters, L. J.; Lohse, D. J.; Richter, D.
Macromolecules, Vol. 27, Issue 17
DOI: 10.1021/ma00095a001

Polyisoprene-Polystyrene Diblock Copolymer Phase Diagram near the Order-Disorder Transition
journal, December 1995

Khandpur, Ashish K.; Foerster, Stephan; Bates, Frank S.
Macromolecules, Vol. 28, Issue 26
DOI: 10.1021/ma00130a012

Influence of Polydispersity on the Self-Assembly of Diblock Copolymers
journal, October 2005

Lynd, Nathaniel A.; Hillmyer, Marc A.
Macromolecules, Vol. 38, Issue 21
DOI: 10.1021/ma051025r

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

Kim, Kyungtae; Schulze, Morgan W.; Arora, Akash
Science, Vol. 356, Issue 6337
DOI: 10.1126/science.aam7212

Hierarchical Self-Organization of AB _n Dendron-like Molecules into a Supramolecular Lattice Sequence
journal, August 2017

Feng, Xueyan; Zhang, Ruimeng; Li, Yiwen
ACS Central Science, Vol. 3, Issue 8
DOI: 10.1021/acscentsci.7b00188

Frequency spectrum and dynamic correlations of concentrated polymer liquids
journal, July 1983

Ronca, G.
The Journal of Chemical Physics, Vol. 79, Issue 2
DOI: 10.1063/1.445845

Asymmetric diblock copolymers-phase behaviour and kinetics of structure formation
journal, April 1997

Schwab, M.; Stühn, B.
Colloid & Polymer Science, Vol. 275, Issue 4
DOI: 10.1007/s003960050091

Molecular Size Distribution in Ethylene Oxide Polymers
journal, June 1940

Flory, Paul J.
Journal of the American Chemical Society, Vol. 62, Issue 6
DOI: 10.1021/ja01863a066

Supramolecular dendritic liquid quasicrystals
journal, March 2004

Zeng, Xiangbing; Ungar, Goran; Liu, Yongsong
Nature, Vol. 428, Issue 6979
DOI: 10.1038/nature02368

Melt Chain Dimensions of Polylactide
journal, March 2004

Anderson, Kelly S.; Hillmyer, Marc A.
Macromolecules, Vol. 37, Issue 5
DOI: 10.1021/ma0357523

Site occupation in the Cr-Ru and Cr-Os $σ$ phases
journal, October 2009

Sluiter, Marcel H. F.; Pasturel, Alain
Physical Review B, Vol. 80, Issue 13
DOI: 10.1103/PhysRevB.80.134122

Diffusivity and Viscosity of Concentrated Hydrogenated Polybutadiene Solutions
journal, March 2000

Tao, Hui; Lodge, Timothy P.; von Meerwall, Ernst D.
Macromolecules, Vol. 33, Issue 5
DOI: 10.1021/ma991983r

Lattice Disordering/Ordering and Demicellization/Micellization Transitions in Highly Asymmetric Polystyrene- b lock -Polyisoprene Copolymers
journal, May 2000

Han, Chang Dae; Vaidya, Nitin Y.; Kim, Do
Macromolecules, Vol. 33, Issue 10
DOI: 10.1021/ma991862r

Structure of β-uranium
journal, April 1988

Lawson, A. C.; Olsen, C. E.; Richardson, J. W.
Acta Crystallographica Section B Structural Science, Vol. 44, Issue 2
DOI: 10.1107/S0108768187009406

Micellar Mimicry of Intermetallic C14 and C15 Laves Phases by Aqueous Lyotropic Self-Assembly
journal, March 2018

Baez-Cotto, Carlos M.; Mahanthappa, Mahesh K.
ACS Nano, Vol. 12, Issue 4
DOI: 10.1021/acsnano.7b07475

Liquid Quasicrystals
journal, November 2011

Ungar, Goran; Percec, Virgil; Zeng, Xiangbing
Israel Journal of Chemistry, Vol. 51, Issue 11-12
DOI: 10.1002/ijch.201100151

Broadly Accessible Self-Consistent Field Theory for Block Polymer Materials Discovery
journal, June 2016

Arora, Akash; Qin, Jian; Morse, David C.
Macromolecules, Vol. 49, Issue 13
DOI: 10.1021/acs.macromol.6b00107

Synthesis and Characterization of Model Polyalkane−Poly(ethylene oxide) Block Copolymers
journal, January 1996

Hillmyer, Marc A.; Bates, Frank S.
Macromolecules, Vol. 29, Issue 22
DOI: 10.1021/ma960774t

The dynamics of symmetric polystyrene–polybutadiene diblock copolymer melts studied above and below the order–disorder transition using dynamic light scattering
journal, January 1996

Papadakis, Christine M.; Brown, Wyn; Johnsen, Robert M.
The Journal of Chemical Physics, Vol. 104, Issue 4
DOI: 10.1063/1.470749

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

Lee, S.; Bluemle, M. J.; Bates, F. S.
Science, Vol. 330, Issue 6002
DOI: 10.1126/science.1195552

Frank–Kasper, quasicrystalline and related phases in liquid crystals
journal, January 2005

Ungar, Goran; Zeng, Xiangbing
Soft Matter, Vol. 1, Issue 2
DOI: 10.1039/b502443a

Understanding the complex metallic element Mn. II. Geometric frustration in β-Mn, phase stability, and phase transitions
journal, July 2003

Hafner, J.; Hobbs, D.
Physical Review B, Vol. 68, Issue 1
DOI: 10.1103/PhysRevB.68.014408

The Mark–Houwink–Sakurada Equation for the Viscosity of Atactic Polystyrene
journal, October 1985

Wagner, Herman L.
Journal of Physical and Chemical Reference Data, Vol. 14, Issue 4
DOI: 10.1063/1.555740

Composition Fluctuation Inhomogeneity of Symmetric Diblock Copolymers: χ N Effects at Order-to-Disorder Transition
journal, December 2017

Jun, Taesuk; Lee, Yonghoon; Jo, Seongjun
Macromolecules, Vol. 51, Issue 1
DOI: 10.1021/acs.macromol.7b01946

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

Xie, Nan; Li, Weihua; Qiu, Feng
ACS Macro Letters, Vol. 3, Issue 9
DOI: 10.1021/mz500445v

Universal Phenomenology of Symmetric Diblock Copolymers near the Order–Disorder Transition
journal, January 2015

Medapuram, Pavani; Glaser, Jens; Morse, David C.
Macromolecules, Vol. 48, Issue 3
DOI: 10.1021/ma5017264

Complex Phase Behavior of Polyisoprene-Polystyrene Diblock Copolymers Near the Order-Disorder Transition
journal, November 1994

Foerster, Stephan; Khandpur, Ashish K.; Zhao, Jin
Macromolecules, Vol. 27, Issue 23
DOI: 10.1021/ma00101a033

Dodecagonal quasicrystalline order in a diblock copolymer melt
journal, April 2016

Gillard, Timothy M.; Lee, Sangwoo; Bates, Frank S.
Proceedings of the National Academy of Sciences, Vol. 113, Issue 19
DOI: 10.1073/pnas.1601692113

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

Matsen, M. W.
Journal of Physics: Condensed Matter, Vol. 14, Issue 2
DOI: 10.1088/0953-8984/14/2/201

Stabilizing the Frank-Kasper Phases via Binary Blends of AB Diblock Copolymers
journal, September 2016

Liu, Meijiao; Qiang, Yicheng; Li, Weihua
ACS Macro Letters, Vol. 5, Issue 10
DOI: 10.1021/acsmacrolett.6b00685

Low-symmetry sphere packings of simple surfactant micelles induced by ionic sphericity
journal, April 2017

Kim, Sung A.; Jeong, Kyeong-Jun; Yethiraj, Arun
Proceedings of the National Academy of Sciences, Vol. 114, Issue 16
DOI: 10.1073/pnas.1701608114

Similar Records in DOE PAGES and OSTI.GOV collections:

Frank–Kasper Phases of Diblock Copolymer Melts: Self-Consistent Field Results of Two Commonly Used Models

Journal Article He, Juntong ; Wang, Qiang - Polymers

We constructed phase diagrams of conformationally asymmetric diblock copolymer A-B melts using the polymer self-consistent field (SCF) calculations of both the dissipative particle dynamics chain (DPDC) model (i.e., compressible melts of discrete Gaussian chains with the DPD non-bonded potential) and the “standard” model (i.e., incompressible melts of continuous Gaussian chains with the Dirac δ-function non-bonded potential) in the χN-ε plane, where χN and ε characterize, respectively, the repulsion and conformational asymmetry between the A and B blocks, at the A-block volume fraction f = 0.2 and 0.3. Consistent with previous SCF calculations of the “standard” model, σ and A15 aremore »« less
https://doi.org/10.3390/polym16030372
Modifying Frank–Kasper Mesophases by Modulating Chain Configuration in PDMS-b-PTFEA Copolymers

Journal Article Jeon, Seungbae ; Jun, Taesuk ; Jo, Seungyun ; ... - Macromolecules

The common spherical mesophases observed from chemically distinct compounds have promoted extensive studies of packing structures in soft-matter self-assemblies. In this report we present a new approach for controlling sphere-packing phases by modulating homologous copolymer chain configurations. To this end, three sets of sample pairs, compositionally asymmetric polydimethylsiloxane-b-poly(2,2,2-trifluoroethyl acrylate) (PDMS-b-PTFEA) diblock copolymers (diBCPs) and their homologues containing the corresponding triblock copolymer (triBCP), are synthesized via atom transfer radical polymerization and designed with the consistent volume fractions of the core-forming PTFEA block, f_PTFEA= 0.20, 0.18, and 0.15. We identify the formation of C15 and hexagonally close-packed (HCP) phases in themore »« less
https://doi.org/10.1021/acs.macromol.2c01146

Full Text Available
Discovery of a Frank-Kasper [sigma] Phase in Sphere-Forming Block Copolymer Melts

Journal Article Lee, Sangwoo ; Bluemle, Michael J ; Bates, Frank S - Science

Sphere-forming block copolymers are known to self-assemble into body-centered cubic crystals near the order-disorder transition temperature. Small-angle x-ray scattering and transmission electron microscopy experiments on diblock and tetrablock copolymer melts have revealed an equilibrium phase characterized by a large tetragonal unit cell containing 30 microphase-separated spheres. This structure, referred to as the sigma ({sigma}) phase by Frank and Kasper more than 50 years ago, nucleates and grows from the body-centered cubic phase similar to its occurrence in metal alloys and is a crystal approximant to dodecagonal quasicrystals. Formation of the {sigma} phase in undiluted linear block copolymers (and certain branchedmore »« less
https://doi.org/10.1126/science.1195552
Frank–Kasper Phases Identified in PDMS-b-PTFEA Copolymers with High Conformational Asymmetry

Journal Article Jeon, Seungbae ; Jun, Taesuk ; Jo, Seongjun ; ... - Macromolecular Rapid Communications

In the search for the formation of Frank–Kasper phases from diblock copolymer self-assembly, a series of compositionally asymmetric poly(dimethylsiloxane)-b-poly(2,2,2-triflouroethyl acrylate)s (PDMS-b-PTFEAs) are synthesized to produce PDMS-rich phases with PDMS volume fractions (ƒ_PDMS) ranging from 0.746 to 0.869. As determined by small-angle X-ray scattering analysis, the Frank–Kasper σ and C14 phases are identified at ƒ_PDMS = 0.796 and 0.851, respectively, plausibly due to high conformational asymmetry (ε ≈ 2.20) between the two blocks. Intriguingly, the σ phase develops during heating from a short-range liquid-like packing (LLP) state, whereas the C14 phase is achieved at room temperature, which are both followed bymore »« less
Cited by 39
https://doi.org/10.1002/marc.201900259

Full Text Available
Impact of Architectural Asymmetry on Frank-Kasper Phase Formation in Block Polymer Melts

Journal Article Chang, Alice B. ; Bates, Frank S. - ACS Nano
https://doi.org/10.1021/acsnano.0c03846

Similar Records

Title: Role of Chain Length in the Formation of Frank-Kasper Phases in Diblock Copolymers

Citation Formats

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

Correlations in Disordered Melts of Asymmetric Diblock Copolymers journal, March 2018

Universality of Block Copolymer Melts journal, August 2014

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

Conformational Asymmetry in Poly(vinylcyclohexane) Containing Diblock Copolymers journal, June 1994

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

Polyisoprene-Polystyrene Diblock Copolymer Phase Diagram near the Order-Disorder Transition journal, December 1995

Influence of Polydispersity on the Self-Assembly of Diblock Copolymers journal, October 2005

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

Hierarchical Self-Organization of AB n Dendron-like Molecules into a Supramolecular Lattice Sequence journal, August 2017

Frequency spectrum and dynamic correlations of concentrated polymer liquids journal, July 1983

Asymmetric diblock copolymers-phase behaviour and kinetics of structure formation journal, April 1997

Molecular Size Distribution in Ethylene Oxide Polymers journal, June 1940

Supramolecular dendritic liquid quasicrystals journal, March 2004

Melt Chain Dimensions of Polylactide journal, March 2004

Site occupation in the Cr-Ru and Cr-Os σ phases journal, October 2009

Diffusivity and Viscosity of Concentrated Hydrogenated Polybutadiene Solutions journal, March 2000

Lattice Disordering/Ordering and Demicellization/Micellization Transitions in Highly Asymmetric Polystyrene- b lock -Polyisoprene Copolymers journal, May 2000

Structure of β-uranium journal, April 1988

Micellar Mimicry of Intermetallic C14 and C15 Laves Phases by Aqueous Lyotropic Self-Assembly journal, March 2018

Liquid Quasicrystals journal, November 2011

Broadly Accessible Self-Consistent Field Theory for Block Polymer Materials Discovery journal, June 2016

Synthesis and Characterization of Model Polyalkane−Poly(ethylene oxide) Block Copolymers journal, January 1996

The dynamics of symmetric polystyrene–polybutadiene diblock copolymer melts studied above and below the order–disorder transition using dynamic light scattering journal, January 1996

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

Frank–Kasper, quasicrystalline and related phases in liquid crystals journal, January 2005

Understanding the complex metallic element Mn. II. Geometric frustration in β-Mn, phase stability, and phase transitions journal, July 2003

The Mark–Houwink–Sakurada Equation for the Viscosity of Atactic Polystyrene journal, October 1985

Composition Fluctuation Inhomogeneity of Symmetric Diblock Copolymers: χ N Effects at Order-to-Disorder Transition journal, December 2017

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

Universal Phenomenology of Symmetric Diblock Copolymers near the Order–Disorder Transition journal, January 2015

Complex Phase Behavior of Polyisoprene-Polystyrene Diblock Copolymers Near the Order-Disorder Transition journal, November 1994

Dodecagonal quasicrystalline order in a diblock copolymer melt journal, April 2016

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

Stabilizing the Frank-Kasper Phases via Binary Blends of AB Diblock Copolymers journal, September 2016

Low-symmetry sphere packings of simple surfactant micelles induced by ionic sphericity journal, April 2017

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

Correlations in Disordered Melts of Asymmetric Diblock Copolymers
journal, March 2018

Universality of Block Copolymer Melts
journal, August 2014

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

Conformational Asymmetry in Poly(vinylcyclohexane) Containing Diblock Copolymers
journal, June 1994

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

Polyisoprene-Polystyrene Diblock Copolymer Phase Diagram near the Order-Disorder Transition
journal, December 1995

Influence of Polydispersity on the Self-Assembly of Diblock Copolymers
journal, October 2005

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

Hierarchical Self-Organization of AB _n Dendron-like Molecules into a Supramolecular Lattice Sequence
journal, August 2017

Frequency spectrum and dynamic correlations of concentrated polymer liquids
journal, July 1983

Asymmetric diblock copolymers-phase behaviour and kinetics of structure formation
journal, April 1997

Molecular Size Distribution in Ethylene Oxide Polymers
journal, June 1940

Supramolecular dendritic liquid quasicrystals
journal, March 2004

Melt Chain Dimensions of Polylactide
journal, March 2004

Site occupation in the Cr-Ru and Cr-Os $σ$ phases
journal, October 2009

Diffusivity and Viscosity of Concentrated Hydrogenated Polybutadiene Solutions
journal, March 2000

Lattice Disordering/Ordering and Demicellization/Micellization Transitions in Highly Asymmetric Polystyrene- b lock -Polyisoprene Copolymers
journal, May 2000

Structure of β-uranium
journal, April 1988

Micellar Mimicry of Intermetallic C14 and C15 Laves Phases by Aqueous Lyotropic Self-Assembly
journal, March 2018

Liquid Quasicrystals
journal, November 2011

Broadly Accessible Self-Consistent Field Theory for Block Polymer Materials Discovery
journal, June 2016

Synthesis and Characterization of Model Polyalkane−Poly(ethylene oxide) Block Copolymers
journal, January 1996

The dynamics of symmetric polystyrene–polybutadiene diblock copolymer melts studied above and below the order–disorder transition using dynamic light scattering
journal, January 1996

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

Frank–Kasper, quasicrystalline and related phases in liquid crystals
journal, January 2005

Understanding the complex metallic element Mn. II. Geometric frustration in β-Mn, phase stability, and phase transitions
journal, July 2003

The Mark–Houwink–Sakurada Equation for the Viscosity of Atactic Polystyrene
journal, October 1985

Composition Fluctuation Inhomogeneity of Symmetric Diblock Copolymers: χ N Effects at Order-to-Disorder Transition
journal, December 2017

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

Universal Phenomenology of Symmetric Diblock Copolymers near the Order–Disorder Transition
journal, January 2015

Complex Phase Behavior of Polyisoprene-Polystyrene Diblock Copolymers Near the Order-Disorder Transition
journal, November 1994

Dodecagonal quasicrystalline order in a diblock copolymer melt
journal, April 2016

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

Stabilizing the Frank-Kasper Phases via Binary Blends of AB Diblock Copolymers
journal, September 2016

Low-symmetry sphere packings of simple surfactant micelles induced by ionic sphericity
journal, April 2017